John E. Harper Department of Mathematics The Ohio State University, Newark Newark, OH 43055 USA Web: https://people.math.osu.edu/harper.903/ Email: harper.903@math.osu.edu Office: Reese 254 Phone: 740-755-7854 Office: MA 418 (Columbus) Phone: 614-292-7670 (Columbus)

Short Mathematical Biography

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

• Titles, abstracts, and schedule of talks
• 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.

Editor for

• Tbilisi Mathematical Journal (TMJ) (Nov. 2015--present)

Current PhD Students

• Yu Zhang, The Ohio State University---PhD in Mathematics: May 2020 (expected)


• Duncan Clark, The Ohio State University---PhD in Mathematics: May 2021 (tentative)


• Niko Schonsheck, The Ohio State University---PhD in Mathematics: May 2021 (tentative)


• Matt Carr, The Ohio State University---PhD in Mathematics: May 2023 (tentative)

Research Interests

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


• Curriculum vitae --- last updated on October 2, 2019

Research Grants

• 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
  

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
  


• 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


• University of Notre Dame (2003--2008)
  Ph.D. in Mathematics, May 2008
  Dissertation advisor: W.G. Dwyer

  Before going full-time into mathematics in 2003, I studied aeronautics and astronautics at MIT and RPI:

• 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

Preprints: Submitted for Publication

• Suspension spectra and higher stabilization.
  (with J.R. Blomquist). Submitted for publication (18 pages), 2016. pdf (Revised version: May 2017)


• Iterated suspension and higher Freudenthal suspension.
  (with J.R. Blomquist). This paper is being consolidated into an appendix
  of the higher stabilization paper above. (17 pages), 2016. pdf

Publications

• 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

Extended 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)

• Matt Carr
  
  Dates: 02/2019 -- 05/2023 (tentative)
  Degree/Department/Institution: PhD/Mathematics/OSU
  Dissertation Topic: TBA


• Duncan Clark
  
  Dates: 05/2017 -- 05/2021 (tentative)
  Degree/Department/Institution: PhD/Mathematics/OSU
  Dissertation Topic: TBA


• Niko Schonsheck
  
  Dates: 05/2017 -- 05/2021 (tentative)
  Degree/Department/Institution: PhD/Mathematics/OSU
  Dissertation Topic: TBA


• Yu Zhang
  
  Dates: 07/2016 -- 05/2020 (tentative)
  Degree/Department/Institution: PhD/Mathematics/OSU
  Dissertation Topic: TBA


• Jacobson R. Blomquist
  
  Dates: 08/2014 -- 05/2018
  Degree/Department/Institution: PhD/Mathematics/OSU
  Dissertation Topic: Iterated desuspension and delooping of structured ring spectra.
  Current Position: Postdoctoral Fellow (2018--2021), Binghamton University (SUNY), Department of Mathematical Sciences.

Mentoring: Postdoctoral Fellows (OSU)

• Gabriel Valenzuela
  
  Dates: 09/2015 -- 05/2018
  Department/Institution: Mathematics/OSU
  Current 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 Topic: Why HZ-algebra spectra are differential graded algebras

Mentoring: Undergraduate Students (OSU)

• Jacob Kirn
  
  Dates: Summer 2018
  Department/Institution Mathematics/OSU
  Summer Project Topic: Honors Mathematics Preparation: Topics in Analysis I


• Kevin Idleman
  
  Dates: Summer 2018
  Department/Institution: Mathematics/OSU
  Summer Project Topic: Honors Mathematics Preparation: Topics in Linear Algebra


• Kevin Idleman
  
  Dates: Summer 2017
  Department/Institution: Mathematics/OSU
  Summer Project Topic: 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 Topic: 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 Topic: Algébres de Hopf


• Florent Mayencourt
  
  Dates: Fall 2008
  Department/Institution: Mathematics/École Polytechnique Fédérale de Lausanne (EPFL)
  Semester Project Topic: Noeuds et invariants de Vassiliev


• Jean-Paul Wenger
  
  Dates: Fall 2008
  Department/Institution: Mathematics/École Polytechnique Fédérale de Lausanne (EPFL)
  Semester Project Topic: Braid theory

Teaching: Undergraduate and Graduate (OSU)

• Math 8999: Individual Studies in Mathematics, Fall 2019, The Ohio State University, Columbus. Instructor.


• Math 8999: Individual Studies in Mathematics, Fall 2019, The Ohio State University, Columbus. 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 8999: Individual Studies in Mathematics, Spring 2019, The Ohio State University, Columbus. 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, Summer 2018, The Ohio State University, Columbus. Instructor.


• Math 7193: Individual Studies in Mathematics, Spring 2018, The Ohio State University, Columbus. Instructor.


• Math 7193: Individual Studies in Mathematics, Spring 2018, The Ohio State University, Columbus. Instructor.


• Math 7193: Individual Studies in Mathematics, Spring 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 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 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 7193: 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 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 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

Invited peer reviewer for:


• Israel Science Foundation, Jerusalem, Israel.


• Shota Rustaveli National Science Foundation, Tbilisi, Georgia.

Referee for:


• Algebraic & Geometric Topology


• Homology, Homotopy and Applications


• Israel Journal of Mathematics


• Journal of Pure and Applied Algebra


• Proceedings of the American Mathematical Society


• Proceedings of the London Mathematical Society

AMS Mathematical Reviews reviewer for papers in:


• Advances in Mathematics


• Algebraic & Geometric Topology


• 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, 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, Teaching Excellence Award, 2018: "To recognize individuals doing excellent teaching and to stimulate excellence in teaching".


• Newark, Service Award, 2019: "To recognize outstanding contributions in the area of service".

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).

Languages

• French (reading).


• German (reading).

Useful Links

• Advice to a young mathematician, by Michael Atiyah
• Google
• Mathscinet
• arXiv
• Hopf archive
• K-theory archive
• Bielefeld SFB 343 preprints
• NUMDAM archives
• ALGTOP-L Algebraic topology listserve
• AMS
• Topology conferences
• Mathematics genealogy project
• OSU mathematics buildings map