phd mathematics osu

Short Mathematical Biography

Homotopy seminar (osu), phd students.

• Oleksii Nikitchenko , The Ohio State University---PhD in Mathematics: May 2028 (expected)
• Matthew Carr , The Ohio State University---PhD in Mathematics: May 2023 Thesis: Retractive operadic algebras in spectra and completions.
• Duncan A. Clark , The Ohio State University---PhD in Mathematics: May 2021 Thesis: An operad structure for the Goodwillie derivatives of the identity functor in structured ring spectra.
• Nikolas Schonsheck , The Ohio State University---PhD in Mathematics: May 2021 Thesis: Fibration theorems and the Taylor tower of the identity for spectral operadic algebras.
• Yu Zhang , The Ohio State University---PhD in Mathematics: May 2020 Thesis: Topological Quillen localization and homotopy pro-nilpotent structured ring spectra.
• Jacobson R. Blomquist , The Ohio State University---PhD in Mathematics: May 2018 Thesis: Iterated desuspension and delooping of structured ring spectra.

Research Grants

• 2019--2024: Simons Foundation: Collaboration Grants for Mathematicians Principal Investigator: John E. Harper Project Title: Functor calculus and localization Institution: The Ohio State University Award Number: 638247 Total Award: $42,000 Dates: 09/2019 -- 08/2024
• Advanced Studies: Euro-Tbilisi Mathematical Journal (ASETMJ) (formerly TMJ) (Sept. 2021--present)

Other Editorial Work

• TMJ Special Issue on: Homotopy Theory, Spectra, and Structured Ring Spectra (2020)
• Greg Arone (Stockholm): [email protected]
• David Barnes (Queen's University, Belfast): [email protected]
• Mark Behrens (Notre Dame): [email protected]
• John E. Harper (OSU): [email protected]
• Kathryn Lesh (Union): [email protected]
• Cary Malkiewich (Binghamton): [email protected]
• Dan Ramras (IUPUI): [email protected]
• Kirsten Wickelgren (Duke): [email protected]

Workshop on Functor Calculus (OSU): March 16--17, 2019

• The goal of the workshop is to expose the younger generation of researchers (graduate students, postdocs, and early-career researchers) to the ideas underlying functor calculus (in its various flavors) together with applications and new results in mathematics that have some connection or influence from this circle of ideas.
• The first talk on Saturday (3/16) will begin at 8:30am, and the workshop will end on Sunday (3/17) at 1pm. Talks will be held in EA160 and EA170.

Education and Employment

• Associate Professor (2019--present) Department of Mathematics, The Ohio State University, Newark
• Assistant Professor (2013--2019) Department of Mathematics, The Ohio State University, Newark
• Visiting Assistant Professor (2012--2013) Department of Mathematics, Purdue University VAP sponsor: J.E. McClure
• Postdoctoral Fellow (2010--2012) Department of Mathematics, University of Western Ontario, Canada Postdoctoral sponsor: J.F. Jardine
• Postdoctoral Fellow (2008--2010) Institut de Géométrie, Algèbre et Topologie, EPFL, Switzerland Postdoctoral sponsor: K. Hess
• Massachusetts Institute of Technology (1999--2002) Doctoral Graduate Student in Aeronautics and Astronautics
• Massachusetts Institute of Technology (1996--1999) S.M. in Aeronautics and Astronautics, June 1999
• Rensselaer Polytechnic Institute B.S. in Aeronautical Engineering, December 1995, Magna Cum Laude

Research Interests

• Research statement (old) --- last updated on February 8, 2013

Curriculum Vitae (CV): Extended Version

Publications.

• Higher stabilization and higher Freudenthal suspension. (with J.R. Blomquist). Trans. Amer. Math. Soc., 375:8193--8240, 2022. pdf / journal
• Topological Quillen localization of structured ring spectra. (with Y. Zhang). Tbilisi Math. J., 12(3):69--91, 2019. pdf / journal
• Integral chains and Bousfield-Kan completion. (with J.R. Blomquist). Homology Homotopy Appl. 21(2):29--58, 2019. pdf / journal
• Derived Koszul duality and TQ-homology completion of structured ring spectra. (with M. Ching). Adv. Math., 341:118--187, 2019. pdf / journal
• A nilpotent Whitehead theorem for TQ-homology of structured ring spectra. (with M. Ching). Tbilisi Math. J., 11(3):69--79, 2018. pdf / journal
• Higher homotopy excision and Blakers--Massey theorems for structured ring spectra. (with M. Ching). Adv. Math., 298:654--692, 2016. pdf / journal
• Corrigendum to ``Homotopy theory of modules over operads in symmetric spectra''. Algebr. Geom. Topol., 15(2):1229--1237, 2015. pdf / journal
• Homotopy completion and topological Quillen homology of structured ring spectra. (with K. Hess). Geom. Topol., 17(3):1325--1416, 2013. pdf / journal Corrigendum: pdf
• Bar constructions and Quillen homology of modules over operads. Algebr. Geom. Topol., 10(1):87--136, 2010. pdf / journal
• Homotopy theory of modules over operads and non-Sigma operads in monoidal model categories. J. Pure Appl. Algebra, 214(8):1407--1434, 2010. pdf / journal
• Homotopy theory of modules over operads in symmetric spectra. Algebr. Geom. Topol., 9(3):1637--1680, 2009. pdf / journal Corrigendum: pdf / journal

Research Visits

• University of Bergen, Norway , Department of Mathematics, April--May 2015. Invited by B. Dundas.
• Massachusetts Institute of Technology , Department of Mathematics, January--February 2015. Invited by H.R. Miller.
• Massachusetts Institute of Technology , Department of Mathematics, July--August 2011. Invited by M. Behrens and H.R. Miller.
• Universität Bonn , Mathematisches Institut, June--July 2010. Invited by J. Hornbostel and S. Schwede.
• Fields Institute for Research in Mathematical Science, Toronto , May--June 2007. Thematic Program on Geometric Applications of Homotopy Theory. Invited by the organizers: G. Carlsson, D. Christensen, and J.F. Jardine.
• Hebrew University of Jerusalem , Einstein Institute of Mathematics, March--April 2006. Invited by E. Dror Farjoun.

Mentoring: PhD Students (OSU)

• Oleksii Nikitchenko Mentoring Dates: 08/2023 -- 05/2029 (expected) Degree/Department/Institution: PhD/Mathematics/OSU
• Matthew Carr Mentoring Dates: 02/2019 -- 05/2023 Degree/Department/Institution: PhD/Mathematics/OSU Thesis: Retractive operadic algebras in spectra and completions. Position: Postdoctoral Fellow (2023--2026), University of Southern California, Keck School of Medicine of USC.
• Duncan A. Clark Mentoring Dates: 05/2017 -- 05/2021 Degree/Department/Institution: PhD/Mathematics/OSU Thesis: An operad structure for the Goodwillie derivatives of the identity functor in structured ring spectra. Position: Instructor (with promise for tenure-track appointment) (2021-- 2024), Milwaukee School of Engineering, Department of Mathematics.
• Nikolas Schonsheck Mentoring Dates: 05/2017 -- 05/2021 Degree/Department/Institution: PhD/Mathematics/OSU Thesis: Fibration theorems and the Taylor tower of the identity for spectral operadic algebras. Position: Postdoctoral Fellow (2021--2024), University of Delaware, Department of Mathematical Sciences.
• Yu Zhang Mentoring Dates: 07/2016 -- 05/2020 Degree/Department/Institution: PhD/Mathematics/OSU Thesis: Topological Quillen localization and homotopy pro-nilpotent structured ring spectra. Position: Postdoctoral Fellow (2020--2023), Nankai University, Department of Mathematics.
• Jacobson R. Blomquist Mentoring Dates: 08/2014 -- 05/2018 Degree/Department/Institution: PhD/Mathematics/OSU Thesis: Iterated desuspension and delooping of structured ring spectra. Position: Postdoctoral Fellow (2018--2021), Binghamton University (SUNY), Department of Mathematical Sciences.

Mentoring: Postdoctoral Fellows (OSU)

• Ben Szczesny (pronounced "shez--nee") (co-mentor joint with Crichton Ogle) Dates: 09/2023 -- 05/2026 (expected) Department/Institution: Mathematics/OSU
• Zeshen Gu (co-mentor joint with Crichton Ogle) Dates: 09/2022 -- 05/2025 (expected) Department/Institution: Mathematics/OSU
• Gabriel Valenzuela Dates: 09/2015 -- 05/2018 Department/Institution: Mathematics/OSU Position: Postdoctoral Fellow (2018--2020), Max Planck Institute for Mathematics, Bonn, Germany.

Mentoring: Masters Students (EPFL)

• Varvara Karpova Dates: Spring 2009 Degree/Department/Institution: MS/Mathematics/École Polytechnique Fédérale de Lausanne (EPFL) Thesis: Why HZ-algebra spectra are differential graded algebras.

Mentoring: Undergraduate Students (OSU)

• Jacob Kirn Dates: Summer 2018 Department/Institution: Mathematics/OSU Summer Project: Honors Mathematics Preparation: Topics in Analysis I.
• Kevin Idleman Dates: Summer 2018 Department/Institution: Mathematics/OSU Summer Project: Honors Mathematics Preparation: Topics in Linear Algebra.
• Kevin Idleman Dates: Summer 2017 Department/Institution: Mathematics/OSU Summer Project: Honors Mathematics Preparation: Topics in Analysis I.

Mentoring: Undergraduate Students (EPFL)

• Cyril Becker and Rosalie Chevalley Dates: Spring 2009 Department/Institution: Mathematics/École Polytechnique Fédérale de Lausanne (EPFL) Mini Project: Notion de propriété universelle dans le langage de la théorie des catégories.
• Lev Kiwi Dates: Fall 2008 Department/Institution: Mathematics/École Polytechnique Fédérale de Lausanne (EPFL) Semester Project: Algébres de Hopf.
• Florent Mayencourt Dates: Fall 2008 Department/Institution: Mathematics/École Polytechnique Fédérale de Lausanne (EPFL) Semester Project: Noeuds et invariants de Vassiliev.
• Jean-Paul Wenger Dates: Fall 2008 Department/Institution: Mathematics/École Polytechnique Fédérale de Lausanne (EPFL) Semester Project: Braid theory.

Teaching: Undergraduate and Graduate (OSU)

• Math 1172 : Section 002. Engineering Mathematics A, Spring 2024, The Ohio State University, Newark. Instructor.
• Math 1172 : Section 001. Engineering Mathematics A, Spring 2024, The Ohio State University, Newark. Instructor.
• Math 6193 : Individual Studies in Mathematics, Fall 2023, The Ohio State University, Columbus. Instructor.
• Math 1172 : Section 001. Engineering Mathematics A, Fall 2023, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Spring 2023, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 003. Calculus I, Spring 2023, The Ohio State University, Newark. Instructor.
• Math 1172 : Section 001. Engineering Mathematics A, Spring 2023, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Fall 2022, The Ohio State University, Columbus. Instructor.
• Math 4193 : Individual Studies in Mathematics, Fall 2022, The Ohio State University, Columbus. Instructor.
• Math 1172 : Section 001. Engineering Mathematics A, Fall 2022, The Ohio State University, Newark. Instructor.
• Math 6193 : Individual Studies in Mathematics, Summer 2022, The Ohio State University, Columbus. Instructor.
• Math 8999 : Individual Studies in Mathematics, Spring 2022, The Ohio State University, Columbus. Instructor.
• Math 1172 : Section 001. Engineering Mathematics A, Spring 2022, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Fall 2021, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 001. Calculus I, Fall 2021, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 004. Calculus I, Fall 2021, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Spring 2021, The Ohio State University, Columbus. Instructor.
• Math 8999 : Individual Studies in Mathematics, Fall 2020, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Summer 2020, The Ohio State University, Columbus. Instructor.
• Math 8999 : Individual Studies in Mathematics, Spring 2020, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Spring 2020, The Ohio State University, Columbus. Instructor.
• Math 1172 : Section 001. Engineering Mathematics A, Spring 2020, The Ohio State University, Newark. Instructor.
• Math 1152 : Section 001. Calculus II, Spring 2020, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Fall 2019, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Fall 2019, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 002. Calculus I, Fall 2019, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 003. Calculus I, Fall 2019, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Spring 2019, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Spring 2019, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 003. Calculus I, Spring 2019, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Fall 2018, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Fall 2018, The Ohio State University, Columbus. Instructor.
• Math 6193 : Individual Studies in Mathematics, Fall 2018, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 001. Calculus I, Fall 2018, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 004. Calculus I, Fall 2018, The Ohio State University, Newark. Instructor.
• Math 7193 : Individual Studies in Mathematics, Summer 2018, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Spring 2018, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 002. Calculus I, Spring 2018, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Fall 2017, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Fall 2017, The Ohio State University, Columbus. Instructor.
• Math 6193 : Individual Studies in Mathematics, Fall 2017, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 001. Calculus I, Fall 2017, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 002. Calculus I, Fall 2017, The Ohio State University, Newark. Instructor.
• Math 7193 : Individual Studies in Mathematics, Summer 2017, The Ohio State University, Columbus. Instructor.
• Math 8999 : Individual Studies in Mathematics, Spring 2017, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Spring 2017, The Ohio State University, Columbus. Instructor.
• Math 6193 : Individual Studies in Mathematics, Spring 2017, The Ohio State University, Columbus. Instructor.
• Math 1152 : Section 001. Calculus II, Spring 2017, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Fall 2016, The Ohio State University, Columbus. Instructor.
• Math 6193 : Individual Studies in Mathematics, Fall 2016, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 001. Calculus I, Fall 2016, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 002. Calculus I, Fall 2016, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Summer 2016, The Ohio State University, Columbus. Instructor.
• Math 6193 : Individual Studies in Mathematics, Summer 2016, The Ohio State University, Columbus. Instructor.
• Math 8999 : Individual Studies in Mathematics, Spring 2016, The Ohio State University, Columbus. Instructor.
• Math 6193 : Individual Studies in Mathematics, Spring 2016, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 001. Calculus I, Spring 2016, The Ohio State University, Newark. Instructor.
• Math 8999 : Individual Studies in Mathematics, Fall 2015, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 001. Calculus I, Fall 2015, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 002. Calculus I, Fall 2015, The Ohio State University, Newark. Instructor.
• Math 7193 : Individual Studies in Mathematics, Summer 2015, The Ohio State University, Columbus. Instructor.
• Math 6193 : Individual Studies in Mathematics, Spring 2015, The Ohio State University, Columbus. Instructor.
• Math 7193 : Individual Studies in Mathematics, Fall 2014, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 001. Calculus I, Fall 2014, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 002. Calculus I, Fall 2014, The Ohio State University, Newark. Instructor.
• Math 6193 : Individual Studies in Mathematics, Spring 2014, The Ohio State University, Columbus. Instructor.
• Math 1151 : Section 001. Calculus I, Spring 2014, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 001. Calculus I, Fall 2013, The Ohio State University, Newark. Instructor.
• Math 1151 : Section 002. Calculus I, Fall 2013, The Ohio State University, Newark. Instructor.

Teaching: Undergraduate (Purdue)

• Math 35300 : Section 161. Linear algebra II, Spring 2013, Purdue University. Instructor.
• Math 35300 : Section 162. Linear algebra II, Spring 2013, Purdue University. Instructor.
• Math 35300 : Section 001. Linear algebra II, Fall 2012, Purdue University. Instructor.
• Math 35300 : Section 002. Linear algebra II, Fall 2012, Purdue University. Instructor.

Teaching: Undergraduate (Western Ontario)

• Calc 1000A : Section 007. Calculus I, Fall 2011, University of Western Ontario. Instructor.
• Calc 1000A : Section 011. Calculus I, Fall 2011, University of Western Ontario. Instructor.
• Calc 1000A : Section 008. Calculus I, Fall 2010, University of Western Ontario. Instructor.

Teaching: Undergraduate and Graduate (EPFL)

• Algebraic topology (topics course) , Spring 2010, École Polytechnique Fédérale de Lausanne. Instructor.
• Theory of knots , Fall 2009, École Polytechnique Fédérale de Lausanne. Assistant.
• Homology and cohomology , Spring 2009, École Polytechnique Fédérale de Lausanne. Assistant.
• Elements of homotopy , Fall 2008, École Polytechnique Fédérale de Lausanne. Assistant.

Teaching: Undergraduate (Notre Dame)

• Math 10560 : Calculus II, Fall 2007, University of Notre Dame. Instructor.
• Math 10560 : Calculus II, Fall 2006, University of Notre Dame. Instructor.
• Math 20550 : Calculus III, Fall 2005, University of Notre Dame. Instructor.
• Math 10560 : Calculus II, Spring 2005, University of Notre Dame. Teaching assistant.
• Math 20550 : Calculus III, Fall 2004, University of Notre Dame. Teaching assistant.

Selected Invited Talks

• Purdue University , Topology Seminar, September 25, 2019: ``Completion towers and localizations in spaces and structured ring spectra''.
• University of Western Ontario , Geometry and Topology Seminar, November 12, 2018: ``Completion towers and localizations in spaces and structured ring spectra''.
• Indiana University , AMS Special Session on Homotopy Theory, April 2, 2017: ``Iterated suspension spaces and an integral analog of Quillen's rational homotopy theorem.''.
• Union College , Union College Mathematics Conference, Session on Algebraic Topology, December 3, 2016: "Iterated suspension spaces and an integral analog of Quillen's rational homotopy theorem".
• Purdue University , Topology Seminar, December 2, 2015: ``Derived Koszul duality of spaces and structured ring spectra''.
• University of Notre Dame , Topology Seminar, October 7, 2015: ``Derived Koszul duality of spaces and structured ring spectra''.
• University of Bergen , Topology Seminar, April 16, 2015: ``Homotopical essential surjectivity: comparing O-algebra spectra and K-coalgebra spectra''.
• University of Bergen , Topology Seminar, April 9, 2015: ``Derived Koszul duality and TQ-homology completion''.
• The Ohio State University , Topology Seminar, March 24, 2015: ``Derived Koszul duality and TQ-homology completion''.
• Massachusetts Institute of Technology , Topology Seminar, February 17, 2015: ``Derived Koszul duality and TQ-homology completion''.
• The University of Manchester , Conference on Stable Homotopy Theory: Structured Ring Spectra and their Invariants, September 3, 2014: ``On a structured ring spectra analog of Quillen-Sullivan theory''.
• Mathematical Sciences Research Institute , MSRI Workshop on Connections for Women: Algebraic Topology, January 24, 2014: ``On a structured ring spectra analog of Quillen--Sullivan theory''.
• Union College , Union College Mathematics Conference, Session on Algebraic Topology, October 19, 2013: ``K-coalgebras, TQ-completion, and a structured ring spectra analog of Quillen--Sullivan theory''.
• The Ohio State University , K-Theory and Motivic Homotopy Theory Seminar, October 8, 2013: ``On a homotopic descent result for topological Quillen homology of structured ring spectra''.
• The Ohio State University , K-Theory and Motivic Homotopy Theory Seminar, October 1, 2013: ``K-coalgebras, TQ-completion, and a structured ring spectra analog of Quillen--Sullivan theory''.
• The Ohio State University , Topology Seminar, February 12, 2013: ``Completions in topology and homotopy theory''.
• Purdue University , Topology Seminar, January 24, 2013: ``Coalgebras and TQ-complete structured ring spectra''.
• University of Illinois at Urbana-Champaign , Topology Seminar, December 11, 2012: ``TQ-homology completion of nilpotent structured ring spectra''.
• University of Massachusetts Amherst , Valley Geometry Seminar, December 7, 2012: ``Completions in topology and homotopy theory''.
• Indiana University , Topology Seminar, November 28, 2012: ``TQ-homology completion of nilpotent structured ring spectra''.
• Purdue University , Topology Seminar, September 6, 2012: ``Localization and completion of nilpotent structured ring spectra''.
• Purdue University , Topology Seminar, August 30, 2012: ``Structured ring spectra and TQ-homology''.
• University of Virginia , Virginia Conference on Algebraic Topology, June 14, 2012: ``TQ-completion, homotopy functor calculus, and nilpotent operadic algebras in modules over a ring spectrum''.
• Hunter College of the City University of New York , Colloquium, May 22, 2012: ``Homology, completions, and localizations of structured ring spectra''.
• University of Western Ontario , Algebra Seminar, January 20, 2012: ``Localization and completion of nilpotent structured ring spectra''.
• Boston, Massachusetts , AMS Special Session on Homotopy Theory, January 7, 2012: ``Localization and completion with respect to topological Quillen homology''.
• University of Western Ontario , Geometry and Topology Seminar, September 19, 2011: ``Completion with respect to topological André-Quillen homology''.
• Wesleyan University , Topology Seminar, August 17, 2011: ``Completion with respect to topological André-Quillen homology''.
• Universität Hamburg , Conference on Structured Ring Spectra, August 2, 2011: ``On a finiteness theorem and Quillen homology completion for algebras over operads in symmetric spectra''.
• Massachusetts Institute of Technology , Topology Seminar, July 19, 2011: ``Quillen homology completion and strong convergence of the associated homotopy spectral sequence''.
• University of Georgia , Topology Seminar, April 11, 2011: ``Homology completion, homotopy completion, and a finiteness theorem for operadic algebras in symmetric spectra''.
• University of Calgary , PIMS Voyageur Colloquium, March 22, 2011: ``Homotopy completion, homology completion, and a finiteness theorem for operadic algebras''.
• Massachusetts Institute of Technology , Topology Seminar, February 7, 2011: ``On a finiteness theorem and Quillen homology completion for algebras over operads in symmetric spectra''.
• University of Minnesota , Topology Seminar, November 8, 2010: ``On a homotopy completion tower for algebras over operads in symmetric spectra''.
• University of Virginia , Topology Seminar, October 28, 2010: ``On a homotopy completion tower for algebras over operads in symmetric spectra''.
• University of Western Ontario , Algebra Seminar, October 15, 2010: ``On a homotopy completion tower for algebras over operads''.
• Wayne State University , Topology Seminar, October 12, 2010: ``On a Whitehead theorem for topological Quillen homology of algebras over operads''.
• University of California Los Angeles , AMS Special Session on Homotopy Theory and K-theory, October 9, 2010: ``On a Whitehead theorem for topological Quillen homology of algebras and modules over operads''.
• University of Western Ontario , Geometry and Topology Seminar, October 4, 2010: ``On a Whitehead theorem for topological Quillen homology of algebras over operads''.
• Université Lille 1 , Workshop on Operads and Homotopy Theory, August 26, 2010: ``On a Whitehead theorem for topological Quillen homology of algebras over operads''.
• Universität Bonn , Topology Seminar, July 13, 2010: ``On a Whitehead theorem for topological Quillen homology of algebras and modules over operads''.
• University of Copenhagen , Algebra and Topology Seminar, June 7, 2010: ``On a Whitehead theorem for topological Quillen homology of algebras and modules over operads''.
• Université Lille 1 , Séminaire de Topologie, March 26, 2010: ``On a Whitehead theorem for topological Quillen homology of algebras and modules over operads''.
• Université Paris 13 , Séminaire de Topologie Algébrique, January 28, 2010: ``On a Whitehead theorem for topological Quillen homology of modules and algebras over operads''.
• Isle of Skye, Scotland , Conference on Algebraic Topology, Group Theory and Representation Theory, June 11, 2009: ``Bar constructions and Quillen homology of modules over operads''.
• Le Châtelard, Switzerland , Topology in the Swiss Alps, Young Topologists' Meeting, April 26, 2009: ``Bar constructions and Quillen homology of modules over operads''.
• North Carolina State University , AMS Special Session on Homotopical Algebra with Applications to Mathematical Physics, April 4, 2009: ``Bar constructions and Quillen homology of modules over operads''.
• Massachusetts Institute of Technology , Topology Seminar, March 2, 2009: ``Bar constructions and Quillen homology of modules over operads''.
• Université Lille 1 , Séminaire de Topologie, December 12, 2008: ``Bar constructions and Quillen homology of modules over operads''.
• École Polytechnique Fédérale de Lausanne , Séminaire de Topologie, November 27, 2008: `` E _infinity algebras and p -adic homotopy theory''.
• University of Copenhagen , Workshop on E_n Operads in Differential Graded Algebra, November 18, 2008: `` E _infinity algebras and p -adic homotopy theory''.
• Universität Bonn , Topology Seminar, October 21, 2008: ``Bar constructions and Quillen homology of modules over operads''.
• École Polytechnique Fédérale de Lausanne , Séminaire de Topologie, July 1, 2008: ``Bar constructions and Quillen homology of modules over operads''.
• Wayne State University , Topology Seminar, April 15, 2008: ``Quillen homology of modules over operads''.
• University of Chicago , Algebraic Topology Seminar, January 22, 2008: ``Quillen homology of modules over operads''.
• University of Notre Dame , Topology Seminar, October 11, 2007: ``Co-operations on Quillen homology''.
• University of Chicago , Graduate Student Topology Conference, April 21, 2007: ``Quillen homology, homotopy algebras, and Koszul duality for operads''.
• Hebrew University of Jerusalem , Graduate Homotopy Seminar, April 2006: ``Delooping iterated loop spaces, quasifibrations, and bar constructions''.
• Hebrew University of Jerusalem , Graduate Homotopy Seminar, March 2006: ``Detecting loop spaces, monads from adjunctions, and a bar construction''.
• Hebrew University of Jerusalem , Graduate Homotopy Seminar, March 2006: ``Algebras over topological A _infinity operads, E _infinity operads, and the little n -cubes operads''.
• Hebrew University of Jerusalem , Graduate Homotopy Seminar, March 2006: ``Symmetric sequences, circle products, and modules over operads''.

Selected Informal Talks

• The Ohio State University , Invitations to Mathematics, Fall 2022: ``Homotopy theory, derived functors, and Bousfield-Kan completion''.
• The Ohio State University , Invitations to Mathematics, Fall 2016: ``Homotopy theory, stabilization of spaces, and homotopical descent''.
• The Ohio State University , Invitations to Mathematics, Fall 2015: ``Homotopy theory and algebras over the sphere spectrum''.
• The Ohio State University , Invitations to Mathematics, Fall 2015: ``Homotopy theory, simplicial objects, and homological algebra''.
• The Ohio State University , Invitations to Mathematics, Fall 2014: ``Homotopy theory and structured ring spectra''.
• The Ohio State University , Invitations to Mathematics, Fall 2014: ``Homotopy theory and Quillen homology''.
• Purdue University , Topics in Homological Algebra, Spring 2013: ``Worked example: The homotopy spectral sequence of a tower of fibrations''.
• Purdue University , Topics in Homological Algebra, Spring 2013: ``Introduction to spectral sequences, exact couples, and convergence proofs''.
• Purdue University , Topics in Homological Algebra, Spring 2013: ``Construction of abelian and non-abelian derived categories and derived functors''.
• Purdue University , Topics in Homological Algebra, Spring 2013: ``Homotopy theory in homological algebra: An introduction to abelian and non-abelian derived categories and derived functors''.
• University of Western Ontario , Topics in Homotopy Theory, Fall 2011: ``Connections between topology and algebra: Homotopy theory, André-Quillen homology, and iterated suspensions of commutative rings''.
• École Polytechnique Fédérale de Lausanne , Working Group on the Stable h -Cobordism Theorem, Spring 2009: ``Spaces of thickenings''.
• École Polytechnique Fédérale de Lausanne , Working Group on the Stable h -Cobordism Theorem, Spring 2009: ``Algebraic K -theory of spaces II''.
• École Polytechnique Fédérale de Lausanne , Working Group on the Stable h -Cobordism Theorem, Spring 2009: ``Algebraic K -theory of spaces I''.

Conference Participation

• Workshop on Functor Calculus , March 2019, organized by E. Fontes, J.E. Harper, C. Osborne, and N. Rao, at The Ohio State University.
• AMS Special Session on Homotopy Theory , March 2018, organized by E. Fontes, J.E. Harper, C. Ogle, and G. Valenzuela, at The Ohio State University.
• AMS Special Session on Homotopy Theory , April 2017, organized by D. Gepner, A. Lindenstrauss, M. Mandell, and D. Ramras, at Indiana University.
• Midwest Topology Seminar , February 2017, organized by M. Behrens, at the University of Notre Dame.
• Union College Mathematics Conference, Session on Algebraic Topology , December 2016, organized by B. Johnson and K. Lesh, at Union College.
• Midwest Topology Seminar , September 2016, organized by D. Gepner, R. Kaufmann, J. McClure, and J. Miller, at Purdue University.
• Alpine Algebraic and Applied Topology Conference , August 2016, organized by C. Ausoni, K. Hess, B. Johnson, I. Moerdijk, and J. Scherer, in Saas-Almagell, Switzerland.
• Midwest Topology Seminar , May 2016, organized by J. Fowler, J.E. Harper, N. Johnson, J.F. Lafont, C. Ogle, N. Rao, G. Valenzuela, and D. Yau, at The Ohio State University.
• Midwest Topology Seminar , February 2016, organized by L. Bandklayder, B. Knudsen, P. van Koughnett, and D. Wilson, at Northwestern University.
• Midwest Topology Seminar , October 2015, organized by M. Behrens, D. Isaksen, and S. Tilson, at Wayne State University.
• Conference on K-theory: Future Directions , May 2015, organized by G. Carlsson and R. Joshua, at The Ohio State University.
• Midwest Topology Seminar , October 2014, organized by J. Francis and P. Goerss, at Northwestern University.
• Conference on Stable Homotopy Theory: Structured Ring Spectra and their Invariants , September 2014, organized by A. Baker, N. Ray, and B. Richter, at the University of Manchester, Manchester, United Kingdom.
• Midwest Topology Seminar , April 2014, organized by D. Ramras and M. Mandell, at Indiana University-Purdue University Indianapolis.
• MSRI Workshop: Reimagining the Foundations of Algebraic Topology , April 2014, organized by V. Angeltveit, M. Behrens, J. Bergner, and A. Blumberg, at the Mathematical Sciences Research Institute, Berkeley.
• MSRI Introductory Workshop: Algebraic Topology , January 2014, organized by T. Gerhardt, J. Grodal, K. Hess, and M. Hill, at the Mathematical Sciences Research Institute, Berkeley.
• MSRI Workshop on Connections for Women: Algebraic Topology , January 2014, organized by J. Bergner, T. Gerhardt, and B. Shipley, at the Mathematical Sciences Research Institute, Berkeley.
• Union College Mathematics Conference, Session on Algebraic Topology , October 2013, organized by B. Johnson and K. Lesh, at Union College.
• Midwest Topology Seminar , October 2013, organized by R. Bruner and D. Isaksen, at Wayne State University.
• Midwest Topology Seminar , May 2013, organized by K. Ponto and B. Guillou, at the University of Kentucky.
• Conference on Equivariant, Chromatic, and Motivic Homotopy Theory , March 2013, organized by A.M. Bohmann, J. Francis, and P. Goerss, at Northwestern University.
• Midwest Topology Seminar , February 2013, organized by M. Ando, M. Frankland, R. McCarthy, and C. Rezk, at the University of Illinois at Urbana-Champaign.
• Midwest Topology Seminar , October 2012, organized by T. Gerhardt and M. Hedden, at Michigan State University.
• The Legacy of Daniel Quillen: K-theory and Homotopical Algebra , October 2012, organized by C. Barwick, M. Behrens, J. Cuntz, E. Friedlander, M.J. Hopkins, J.-L. Loday, H.R. Miller, A. Ranicki, G. Segal, and I. Singer, at the Massachusetts Institute of Technology.
• Stanford Symposium on Algebraic Topology: applications and new directions---a conference to celebrate the birthdays of Gunnar Carlsson, Ralph Cohen, and Ib Madsen , July 2012, organized by S. Galatius, D. Sinha, and U. Tillmann, at Stanford University.
• West Coast Algebraic Topology Summer School: advances in K-theory , July 2012, organized by A. Adem, R. Cohen, and D. Sinha, at Stanford University.
• Virginia Conference on Algebraic Topology , June 2012, organized by G. Arone, W.G. Dwyer, M. Hill, N. Kuhn, K. Lesh, and V. Turchin, at the University of Virginia.
• Midwest Topology Seminar , March 2012, organized by A.M. Bohmann, A. Elmendorf, and P. Goerss, at Northwestern University.
• AMS Special Session on Homotopy Theory , January 2012, organized by M. Behrens, M.W. Johnson, H.R. Miller, J. Turner, and D. Yau, in Boston, Massachusetts.
• AMS Special Session on Calculus of Functors and Its Applications , January 2012, organized by B. Munson and I. Volic, in Boston, Massachusetts.
• Midwest Topology Seminar , October 2011, organized by S. Chebolu and G. Seelinger, at Illinois State University.
• Conference on Structured Ring Spectra , August 2011, organized by A. Baker and B. Richter, at the Universität Hamburg.
• Geometric and Algebraic Structures in Mathematics: a conference to celebrate Dennis Sullivan's 70th birthday , May--June 2011, organized by A. Bonifant, J. Bowman, M. Lyubich, and S. Sutherland, at Stony Brook University.
• Functor Calculus and Operads Workshop , March 2011, organized by M. Ching, N. Kuhn, and V. Turchin, at the Banff International Research Station, Alberta.
• Midwest Topology Seminar , October 2010, organized by R. Bruner, P. Hu, D. Isaksen, and J. Klein, at Wayne State University.
• AMS Special Session on Homotopy Theory and K-theory , October 2010, organized by J. Bergner and C. Haesemeyer, at the University of California Los Angeles.
• Conference on Homotopy Theory and Derived Algebraic Geometry , September 2010, organized by P. Goerss and J.F. Jardine, at the Fields Institute for Research in Mathematical Science, Toronto.
• Workshop on Operads and Homotopy Theory , August 2010, organized by D. Chataur, B. Fresse, and B. Vallette, at the Université Lille 1.
• Georgia Topology Conference: Goodwillie-Weiss embedding calculus and its application to spaces of knots , May 2010, organized by M. Ching and N. Johnson, at the University of Georgia.
• Mayday 2009---New Contexts in Homotopy Theory: a conference in honor of Peter May on the occasion of his 70th birthday , October 2009, organized by M. Basterra, M. Behrens, A. Blumberg, J. McClure, and M. Mandell, at the University of Chicago.
• p-Adic Geometry and Homotopy Theory Conference , August 2009, organized by J. Rognes, in the Nordfjord region of Loen, Norway.
• Conference on Algebraic Topology, Group Theory and Representation Theory , June 2009, organized by D. Benson, C. Broto, I. Capdeboscq, R. Kessar, K. Lesh, R. Levi, and A. Libman, in Isle of Skye, Scotland.
• Topology in the Swiss Alps, Young Topologists' Meeting , April 2009, organized by P. Müller, in Le Châtelard, Switzerland.
• AMS Special Session on Homotopical Algebra with Applications to Mathematical Physics , April 2009, organized by T. Lada and J. Stasheff, at North Carolina State University.
• Workshop on E_n Operads in Differential Graded Algebra , November 2008, organized by A. Berglund, B. Vallette, and N. Wahl, at the University of Copenhagen.
• Workshop on Higher Structures in Mathematics and Physics , November 2008, organized by A. Alekseev, A. Cattaneo, and P. Xu, at the École Polytechnique Fédérale de Lausanne.
• Arolla Conference on Algebraic Topology , August 2008, organized by C. Ausoni, K. Hess, and J. Scherer, in Arolla, Switzerland.
• Homotopical Group Theory and Topological Algebraic Geometry: a conference in honor of Haynes R. Miller on the occasion of his 60th birthday , June 2008, organized by M. Ando, C.F. Bodigheimer, J. Grodal, G. Laures, and B. Shipley, at the Max Planck Institute, Bonn.
• Homotopical Group Theory and Topological Algebraic Geometry Workshop , June 2008, organized by J. Grodal, I. Madsen, J. Moller, E. Pedersen, and N. Wahl, at the University of Copenhagen.
• Midwest Topology Seminar , May 2008, at Northwestern University.
• Graduate Student Topology Conference , March 2008, organized by D. Zaharapol and C. Wendler, at the University of Illinois at Urbana-Champaign.
• Midwest Topology Seminar , February 2008, at the University of Notre Dame.
• Midwest Topology Seminar , October 2007, at the University of Illinois at Urbana-Champaign.
• Workshop on Stacks in Geometry and Topology , May 2007, organized by K. Behrend, P. Goerss, and B. Toën, at the Fields Institute for Research in Mathematical Science, Toronto.
• Graduate Student Topology Conference , April 2007, organized by M. Abouzaid, B. Guillou, and K. Ponto, at the University of Chicago.
• Midwest Topology Seminar , February 2007, at the University of Illinois at Chicago.
• Topics in Homotopy Theory Graduate Summer School , August 2005, organized by K. Bauer and L. Scull, at the University of Calgary.
• Summer School on the Interactions between Homotopy Theory and Algebra , July--August 2004, organized by L. Avramov, D. Christensen, W.G. Dwyer, M. Mandell, and B. Shipley, at the University of Chicago.

Other Service

• Israel Science Foundation , Jerusalem, Israel.
• Shota Rustaveli National Science Foundation , Tbilisi, Georgia.
• Advances in Mathematics
• Algebraic & Geometric Topology
• Expositiones Mathematicae
• Homology, Homotopy and Applications
• Israel Journal of Mathematics
• Journal of the London Mathematical Society
• Journal of Pure and Applied Algebra
• Proceedings of the American Mathematical Society
• Proceedings of the London Mathematical Society
• New York Journal of Mathematics
• Ricerche di Matematica

Conferences Organized

• Workshop on Functor Calculus . The Ohio State University, Spring 2019, co-organizer.
• AMS Special Session on Homotopy Theory . The Ohio State University, Spring 2018, co-organizer.
• AMS Sectional Meeting . The Ohio State University, Spring 2018, local co-organizer.
• MTS Conference (Midwest Topology Seminar) . The Ohio State University, Spring 2016, co-organizer.

Seminars Organized

• OSU Homotopy Theory Seminar . The Ohio State University, 2023--2024 co-organizer.
• OSU Homotopy Theory Seminar . The Ohio State University, 2019--2020 co-organizer.
• OSU K-theory and Motivic Homotopy Theory Seminar . The Ohio State University, 2019--2020, co-organizer.
• OSU Homotopy Theory Seminar . The Ohio State University, 2018--2019 co-organizer.
• OSU K-theory and Motivic Homotopy Theory Seminar . The Ohio State University, 2018--2019, co-organizer.
• OSU Homotopy Theory Seminar . The Ohio State University, 2017--2018 co-organizer.
• OSU K-theory and Motivic Homotopy Theory Seminar . The Ohio State University, 2017--2018, co-organizer.
• OSU K-theory and Motivic Homotopy Theory Seminar . The Ohio State University, 2016--2017, co-organizer.
• OSU K-theory and Motivic Homotopy Theory Seminar . The Ohio State University, 2015--2016, co-organizer.
• OSU Topology Seminar . The Ohio State University, 2014--2015 co-organizer.
• OSU K-theory and Motivic Homotopy Theory Seminar . The Ohio State University, 2014--2015, co-organizer.
• UWO Geometry and Topology Seminar . University of Western Ontario, 2011--2012, co-organizer.
• EPFL Séminaire de Topologie . École Polytechnique Fédérale de Lausanne, Spring 2009, co-organizer.
• ND Graduate Topology Seminar , University of Notre Dame, 2007--2008, organizer.

Awards: Teaching and Service (OSU)

• Newark, Service Award, 2019 : "To recognize outstanding contributions in the area of service".
• Newark, Teaching Excellence Award, 2018 : "To recognize individuals doing excellent teaching and to stimulate excellence in teaching".

Prizes: (RPI)

• Ricketts Prize , Rensselaer Polytechnic Institute: ``In recognition of demonstrated outstanding ability in academic work and promise for outstanding professional success''.

Memberships

• American Mathematical Society (2003--present).
• French (reading).
• German (reading).

Useful Links

• Advice to a young mathematician, by Michael Atiyah
• Bielefeld SFB 343 preprints
• NUMDAM archives
• ALGTOP-L Algebraic topology listserve
• Topology conferences
• Mathematics genealogy project
• OSU mathematics buildings map

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Ph.D. in Mathematics

Program Name and Number: Mathematics - PH3101

• Admissions (Note: Students without a master's degree or similar post-baccalaureate experience will not be admitted directly to the doctoral program; instead, they should apply to the master's program doctoral preparation track .)
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Program Overview

The Ph.D. in Mathematics is intended for students who wish to advance mathematical knowledge itself, apply such knowledge to problems confronting society and science, and educate others in mathematical methods and ways of thinking.

The Mathematics Department offers students the possibility of designing study plans to meet their individual goals and interests. In particular, it offers a broad spectrum of possible research areas for Ph.D. students, including algebra, analysis, coding theory, computational harmonic analysis, partial and ordinary differential equations, dynamical systems, financial mathematics, mathematical biology, numerical analysis, optimal control theory, set theory, statistics, stochastic processes, and topology.

The first phase in doctoral education in Mathematics is to understand a few subjects deeply and a range of subjects in less detail. OHIO's program accomplishes this through a system of courses and written examinations. An exceptionally well-prepared student can attempt the examinations early and spend relatively little time doing coursework.

The second phase is to become the expert on a specific problem and produce new mathematical results on it suitable for a dissertation. In the program, this phase is done one-on-one with a faculty adviser or in a small research group. The dissertation is a scholarly work demonstrating the ability to understand, organize, improve, and present mathematical ideas of outstanding importance, depth, or interest. It must include original mathematical research and be worthy of publication.

Most doctoral students are trained and financially supported as teaching assistants and have the opportunity to teach classes as the primary instructor.

Career Opportunities

Most graduates work in academia, teaching and/or doing research in Mathematics.

Program Mission

To train students to create, apply, and disseminate mathematical knowledge and understanding.

Program Learning Objectives

• Graduates will be able to extend the frontier of mathematical knowledge by producing quality research with original results.
• Graduates will be able to apply a range of mathematical tools to problems within mathematics and in other disciplines.
• Graduates will be able to effectively disseminate mathematical knowledge and understanding through publications, seminars, classroom teaching, or other means.

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Statistics (MAS, MS, PhD)

The Department of Statistics offers a Master of Applied Statistics, Master of Science in statistics, a PhD in statistics and jointly offers a PhD in biostatistics with the College of Public Health.

The department encompasses areas ranging from the development of methodology for data acquisition and analysis to the science of decision making under uncertainty. The emphasis in the department is to maintain innovative excellence in research that is targeted to the development of statistical methodology motivated by providing solutions to real-world problems.

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Philosophy Doctor of Philosophy

The Department of Philosophy's graduate program is a strong one with an excellent placement record. Areas of strength in the department include: philosophy of mathematics and logic, logic, history of modern philosophy, history of analytic philosophy, ethics and metaethics, moral psychology and action theory, philosophy of mind and cognitive science, philosophy of science, philosophy of language, epistemology, and metaphysics.

In addition, the Department of Philosophy is supportive of collaborative work involving other departments and has historically had particularly strong connections with the Departments of Linguistics, Mathematics, Political Science, Psychology, and the Center for Cognitive and Brain Sciences. 

If you have a disability and experience difficulty accessing this content, please contact [email protected] .

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Academic Catalog

2023-2024 edition.

• Graduate College /
• Doctoral Degree Programs /

Mathematics, PhD

Requirements for Students Matriculating in or before Academic Year 2023-2024. Learn more about Graduate College Academic Regulation 7.0 .

Total Hours: 60 (Beyond the Master's Degree)

Graduate College Doctor of Philosophy (PhD) Requirements

Learn more about Graduate College 2023-2024 Doctor of Philosophy (PhD) Degree Program Requirements . Check the General Graduate College academic regulations for minimal GPA, language proficiency and other general requirements.

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Mathematics

Campus: Columbus

College: Arts and Sciences

Mathematics is a tool for understanding our world and trying to solve its problems. Mathematical models are used in such diverse areas as determining the shape of aircraft’s wings for maximum lift, analyzing disease spread and control, and simulating network flows for efficient transportation systems.

Mathematics also requires imagination, necessitating abstract and formalized thought on the one hand and creativity and intuition on the other. All people, in every trade and profession, use mathematics in their personal and professional lives. Thus, almost all university students will take formal courses to acquire the use of mathematical tools.

The mathematics major introduces students to the areas of real and complex analysis, number theory, abstract algebra, logic and other fields. Mathematics study can be designed to support different career goals, such as employment in business and industry, biology and medicine, development of new products using physics and chemistry, preprofessional education, or preparation for graduate school.

Get started

Students interested in mathematics as a major generally have an ACT Math score of at least 25, or an SAT Math score of at least 590. Students with less preparation are likely to require additional time to complete a major in mathematics.

Upon acceptance into the college, students may declare mathematics as a major. Students should then contact one of the mathematics advisors to map out an appropriate program of courses. The Department of Mathematics offers a Bachelor of Science degree.

The department offers six tracks: Theoretical Math, Math for Educators, Financial Math, Biomath, Applied Math and Honors Math. Students should discuss their long-term goals with their academic advisor to determine the best mathematics track for them. 

All tracks require the following courses:

• Calculus sequence (three semesters)
• Calculus-based Statistics
• Foundations of Higher Mathematics
• Linear Algebra
• Probability
• Math major seminar (required only for non-Honors)

In addition to the required courses, students must take other courses as appropriate for their selected track and long term goals. Courses might include:

• History of Mathematics
• Vector Analysis
• Complex Variables
• Partial Differential Equations
• Number Theory
• Discrete Mathematical Models
• Combinatorial Mathematics
• Calculus on Manifolds
• Real Analysis
• Abstract Algebra
• Numerical Analysis
• Introduction to Financial Math
• Beginning Scientific Computing
• Theory of Interest
• Dynamical Systems

Data analysis requirement 

The Department of Mathematics requires Statistics 4201 or Math 4530 and Statistics 4202 to fulfill the General Education data analysis requirement.

Mathematics minor

The minor consists of the calculus sequence, a course on the foundations of higher mathematics, a post-calculus linear algebra course, and several upper-division elective courses.

Businesses and industries in central Ohio and around the country offer internships specifically for math majors. Internship listings are maintained by the Arts and Sciences Center for Career and Professional Success . 

Honors and Scholars

The Department of Mathematics offers many honors courses which comprise a very challenging alternative for highly motivated students. This unified four-year program benefits students by introducing much more mathematical rigor and is especially valuable for students intending to pursue graduate studies in mathematics and other fields. These exceptional courses offer an undergraduate training in mathematics comparable to that at the best universities in the country. Students may be considered for graduation with distinction by completing selected graduate level course work or a research project under the mentorship of a faculty member. 

The department provides several undergraduate research opportunities:

The Reading Classics Group provides undergraduates with the opportunity to work as part of a research team with other undergraduates/graduate students/faculty on exciting mathematics topics.

The  Mathematical Biosciences Institute* (MBI) provides undergraduates with a summer research opportunity interfacing with faculty and their peers on the intersection of mathematics and the biosciences. (*MBI is funded by the National Science Foundation.)

During the summer, Honors mathematics majors have the opportunity to participate in knot theory research with Dr. Sergei Chmutov. Imagine a rope, tied in a certain way, with its ends glued together: Having two such ropes, can you move one of them around to get the other one? Can you untie it and get a perfect circle? Knot theory, or the mathematical study of knots, concerns itself with answering these questions.

Student organizations

The Department of Mathematics has an active undergraduate math club, “Radical Pi,” which provides opportunities for students to interact with their peers as well as participate in presentations by faculty and graduate students on topics of interest to an undergraduate. A student chapter of SIAM (Society of Industrial and Applied Mathematics) reinforces interactions between mathematics and other scientific and technological communities through membership activities, publication of journals and books, and conferences.

Possible careers

A bachelor’s degree in mathematics is designed to provide students with the analytical and logical training necessary for many diverse professions. These students find that their skills in quantitative reasoning are in demand in many careers and are needed for many different positions, very few of which have mathematics in the job title.

Approximately 50 percent of the mathematics specialists are employed in industry, with the federal government and in public administration. The opportunities in industry for persons trained in mathematics are many and varied, including operations research, math modeling, actuarial science and data analysis. Computer programming generates a wealth of mathematical problems in logic, combinatorics, number theory, algebra, differential equations and numerical analysis. 

Mathematics majors can also pursue engineering, and they are commonly accepted into medical schools, law schools and graduate programs in mathematics, physics, economics, business, education, statistics and computer science. Preparation in these graduate programs may lead to careers in academia or in the business, industry or government sectors.

Students interested in pursuing high school teaching as a career option need to complete an undergraduate degree in mathematics and then proceed to a master’s degree (MEd) in the College of Education and Human Ecology. Upon completion, students are licensed to teach. In general, students need a 3.0 or better cumulative grade point average, and a 2.7 or better in mathematics courses.

Salary estimates

Beginning salaries for students with a bachelor’s degree in mathematics vary widely based on the candidate’s ability, performance and previous experience, as well as the particular industry, business or government organization in which the candidate is employed. Recent surveys indicate that average starting salaries range from $40,000 to $50,000 annually. 

Future students 

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Check out the STEM Pathway to discover the many majors Ohio State offers that can lead to a career in the fields of science, technology, engineering and math.

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Ohio State graduate programs featured in new U.S. News & World Report rankings

Rankings highlight university’s graduate program achievements.

The Ohio State University’s graduate and professional programs continue to rank among the best in the nation and the state, according to the U.S. News & World Report 2024-25 edition of America’s Best Graduate Schools.

Several Ohio State colleges reported degrees and specialty programs in the top 10 of the latest edition. The rankings place the College of Nursing ’s traditional Master of Science (MS) program No. 1 among public institutions in the nation, and the college’s Doctor of Nursing Practice (DNP) program again ranked among the country’s top 20.

The College of Nursing’s in-person MS program ranked No. 4 overall – up from eighth last year. This is the sixth straight year that the MS degree program has ranked among the nation’s top 10.

The Fisher College of Business ’ Working Professional MBA was ranked fifth among part-time programs at public colleges and universities (10th overall) – marking the third time in the last five years the WPMBA was selected as a top 10 program.

“Ohio State’s graduate and professional programs continue to excel across a broad range of disciplines, which is a testament to our university’s land-grant tradition and commitment to preparing future leaders, scholars and practitioners,” said Karla Zadnik, interim executive vice president and provost. “I am thrilled to see these programs recognized for their academic excellence.”

U.S. News ’ rankings of graduate and professional programs cover just a small portion of the programs offered at Ohio State, and not all programs are ranked each year. Ohio State enrolls more than 14,000 graduate and professional students in 102 doctoral and 127 master’s programs.

Below are some highlights from U.S. News ’ 2024-25 rankings of Ohio State graduate programs, by college.

The College of Arts and Sciences has one of its natural and mathematical science graduate programs ranked in the top 30 this year – computer science (27), and two of its social and behavioral sciences graduate programs ranked in the top 20 this year – audiology (9) and speech language pathology (14).

The College of Education and Human Ecology is ranked No. 21 nationwide overall in graduate education programs, up four spots over last year. In its specialty programs, seven continue to rank in the top 10 nationwide. These include educational administration (6), curriculum and instruction (7), student counseling (7), elementary teacher education (8), secondary teacher education (8), educational psychology (9) and higher education administration (9). Two more specialty programs both ranked as No. 22: educational policy and special education.

Fisher’s full-time MBA program saw significant improvement in its standings in the annual rankings, climbing to No. 11 among public institutions (No. 30 overall).

The  John Glenn College of Public Affairs  moved up in the rankings from 19th to 16th, marking the college’s 10th year within the top 10% of public affairs graduate professional degree programs on the list. The college was also ranked in seven specialty areas: public management and leadership (7), nonprofit management (9), local government (18), social policy (19), public policy analysis (20), urban policy (22) and public finance (25).

In the College of Medicine , two clinical doctorate programs in the School of Health and Rehabilitation Sciences moved up in the rankings this year, reaffirming their reputation for excellence – physical therapy advanced to No. 8 and occupational therapy to No. 11.

The Moritz College of Law remains a high-ranking institution at 26th overall out of 196 accredited law schools and ninth nationally among all public law schools. The college’s  program on dispute resolution was ranked first in the nation, and nine other programs rank in the top 50 nationally: criminal law (15), health law (15), constitutional law (29), legal writing (32), business and corporate law (35), contracts and commercial law (36), intellectual property law (44), international law (45) and tax law (49).

The College of Pharmacy ranks first in the state and fourth in the nation among all schools of pharmacy. This continues the college’s more than decade-long tradition as a top 10 ranked program, moving up from seventh in 2020.

The College of Public Health , at 29 overall, is among the highest ranked colleges and programs of public health in the nation, and first in Ohio. For the first time, three specialty programs within the College of Public Health are recognized: biostatistics (22); epidemiology (25) and health policy and management (17). U.S. News & World Report previously ranked the college’s MHA program eighth in the nation.

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Republicans who support childhood vaccine mandates often stay silent

Most Republican voters support childhood vaccine mandates, yet may be discouraged from publicly expressing these views, a new study suggests.  

Adapting stormwater management to extreme weather requires innovation, professor says

Cities can take steps to prevent severe weather from causing major damage, scholar says. 

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Mathematics Education, Master of Education

The Master of Education in Mathematics Education leads to an initial teaching license in the state of Ohio, to teach mathematics in grades 7-12. 

Program Features

Core courses focused on methods of teaching and theories for mathematics learning. 

Two supervised student teaching experiences, our theory-to-practice approach to teacher education allows you to try out the new skill sets as you learn them.  

Prepare to become a leader in a school district, advocating for issues of social justice in the classroom. 

Throughout your program you are supported by nationally recognized STEM faculty and instructors. You will be assigned a faculty advisor that oversees your progress as well as a program manager who will coordinate your academic activities and student teaching experiences. 

Student Testimonials

I originally started the Math MEd Program at Ohio State University in hopes of earning my licensure and degree to become a high school math teacher. The MEd program had a rigorous curriculum that prepared me for everyday tasks and encouraged me to find opportunities to network and continue my learning after the program. As I finish up my first year of teaching, I have come to realize that the program did not just give me the credentials needed to teach, but helped me to explore and understand who I am as a teacher. I created memories with the faculty, mentors and cohort that would last a lifetime while getting me closer to my goal.

Degree Requirements

Prerequisites

Prerequisite Coursework with minimum 2.75 GPA, bachelor’s degree, overall 3.0 GPA

View prerequisite sheet here

Program start

Summer Semester

Deadline to apply

November 15

This is a competitive program. Acceptance into the program is not guaranteed by completing prerequisites.

View Master of Education in STEM: Math Curriculum Sheet

Apply to Ohio State 

Application checklist

View application checklist

CWRU, UC, OSU, Ursuline named in top 50 graduate school program rankings by U.S. News & World Report

• Updated: Apr. 09, 2024, 2:47 p.m. |
• Published: Apr. 09, 2024, 2:22 p.m.

Ohio State University ranked the highest for business, education and law graduate schools in Ohio. (Associated Press file photo) AP

• Zachary Smith, cleveland.com

CLEVELAND, Ohio - Multiple Ohio universities landed in the top 50 rankings for best graduate programs in various fields, according to the new 2024-2025 U.S. News and World Report Best Graduate Programs Rankings released Tuesday.

Ohio State University was the big winner in Ohio, tying for the No. 4 best overall business school in the country with the University of Pennsylvania and Vanderbilt University in Tennessee. It improved four sports from the previous year.

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College of Science

What do mathematicians do? This mathematics grad began a technical writing career at Amazon

In science, ‘new’ is a constant. Novel research techniques propel studies forward. Updated software creates ripples across technology. But as fields evolve at a breakneck pace, leaving the rest of the world to play catch-up, there is a subset of communicators helping us along — technical writers.

Technical writing breaks down complex scientific jargon into easily understood information. Those who pursue the niche are much like Swiss Army knives, able to learn and explain a variety of specializations. Alumna Megan Tucker, ‘20, is one such knife.

After completing a double major in Mathematics and Liberal Studies with a focus on writing, Tucker worked as a technical writer for Amazon Web Services for three years. She is currently completing her master’s degree abroad. Using the breadth of knowledge and professional skills she naturally gained as a College of Science undergraduate, she has found the sweet spot between her two passions in a truly rewarding career.

“It felt great to graduate knowing I could continue to learn and write about science and become an expert in fields I wouldn’t have known existed until someone said, ‘We need a tech writer.’”

Doing the math

The perfect set of degrees for Tucker wasn’t immediately obvious. While she always had an additional writing-focused major, her first major in STEM was nuclear engineering. It was short-lived as she felt drawn to the deeper discussions about quantum mechanics available to physics undergraduates. But physics still wasn’t quite right, and she finally turned to the major that had run through each of the others: mathematics.

Having academic advisors dedicated to each major ready to help made for a smooth transition into mathematics. It turned out to be an excellent fit, even as the content became increasingly difficult. Triumphing over challenges with the help of her mentors was one of the best learning experiences the major had to offer.

“I was really struggling with some proofs in an abstract algebra course and Professor Schmidt told me, ‘You can do this proof. You’re doubting yourself. Stop doubting yourself and you’ll be able to solve anything you put your mind to.’ That was such a game changer for me, to realize that yeah, I can do this,” she said.

“That’s really what I went to college for, to talk to experts in their field ... Having the opportunity to work with those people and learn from them is probably the best thing that I got out of OSU and the College of Science.”

The switch was especially validated at the end of her junior year when she was accepted into an internship for the Department of Energy , which she found through attending a College of Science research seminar. She flew to Pittsburgh and Washington, D.C. to study data sets that could prove useful for carbon sequestration.

Surrounded by Ph.D. candidates of many specializations, Tucker appreciated the experience for its challenging environment.

“In college especially, people should really push themselves. That’s their opportunity to learn and try things and fail. I don’t even think you should stop doing that after college, but college is a really nice place where you can do it a lot,” she said.

This style of learning led by knowledgeable guides was a highlight of her time as an undergraduate, and she cherishes the lessons it taught her.

“That’s really what I went to college for, to talk to experts in their field,” she said. “Learning not just about the class, but about what it means to get your Ph.D., what it means to get your master’s and what it means to be a mathematician. Having the opportunity to work with those people and learn from them is probably the best thing that I got out of OSU and the College of Science.”

The unspoken questions

When technical writing was first introduced to her through her coursework, Tucker had no intention of pursuing it further. A career in the niche hardly crossed her mind.

“I was like, ‘It’s a course I took in school, no one actually does that for work, right?’” she recalled ironically.

But when she later accepted a grant writing internship on campus while searching for more work opportunities, her perspective shifted. She began to see the world of possibilities that lived at the intersection of writing and science. Her two passions that once seemed completely disparate merged into her dream job. By the time senior year rolled around, she was applying for as many technical writing positions as she could.

A job offer from Amazon Web Services came back in March and she began working for them in Seattle soon after graduation. AWS is the most widely adopted global cloud provider, boasting millions of users who rely on its services. Much of Tucker’s work involved creating user and application programming interface guides for each software release. Her writing boiled down imposing cloud architecture setup into step-by-step instructions, guiding customers out of a computer deep end and into smooth sailing.

“There's an endless amount of things I could write about. You’re answering the unspoken questions that need to be answered.”

The skills she learned from both of her degrees played prominent roles in her daily work. Being able to absorb the ins and outs of feature releases and discuss science-heavy content with software developers both stemmed from her mathematics major. These then pooled into planning, writing and editing technical documentation for the company, allowing her to thrive in her position.

Along with the skills she purposefully developed, Tucker found that the ones she gained naturally as a science student were critical to her success.

“It’s very much like university with different clothing,” she explained. “Ultimately, I really had to keep up with my courses and be organized and punctual. That’s pretty invaluable to me working, staying on top of my tasks and being able to communicate these topics with people who have a varying level of knowledge about them.”

After three years at AWS, Tucker resigned to work toward her master’s in writing at Queen’s University in the U.K., which she plans to earn later this year. The degree will be another step higher for her into the world of technical writing, one full of possibilities.

“I love the field because of that conversation between STEM and writing,” she said. “I could write for chip manufacturing, I could write for a university, I could write for medical tech. There's an endless amount of things I could write about. You’re answering the unspoken questions that need to be answered.”

Read more stories about: alumni and friends , mathematics , careers , interdisciplinary , mathematics major

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