Jonathan A. Campbell
Stanford University
Department of Mathematics
Building 380
Stanford, CA 94305
[email protected]
Current Position
RTG Instructor
Austin, TX
I am a post-doc in the mathematics department at UT-Austin.
University of Texas at Austin
August 2013 - present
Education
Graduate Student
Stanford University
Stanford, CA
August 2008-June 2013
Ph.D. student in the Mathematics Department under the supervision of Prof. Ralph Cohen.
Undergraduate
MIT
Cambridge, MA
August 2003 - June 2007
Student in the Mathematics Department specializing in Theoretical Mathematics.
Research Interests
K-theory, THH and related invariants, Homotopy Theory, Higher Categories, Topological Field
Theories
Preprints
- Topological Hochschild Homology and Koszul Duality
Work in Preparation
- Classical and K-theoretic Transfers
- 2-Vector Bundles and Parameterized ku-modules. Joint with John A. Lind.
- Topological Andre-Quillen (Co)Homology of Spectral Categories
Invited Talks
- MIT Topology Seminar, MIT, March 31, 2014.
- Joint Mathematics Meetings, Baltimore MD, Jan 17, 2014.
- Topological Hochschild Homology and Koszul Duality University of California Riverside, November
27, 2012.
- Topological Hochschild Homology and Koszul Duality Johns Hopkins University, November 19,
2012.
-Topological Hochschild Homology and Koszul Duality University of Illinois Urbana-Champaign,
November 13, 2012.
- Topological Hochschild Homology and Koszul Duality University of Chicago, October 30, 2012.
- Topological Hochschild Homology and Koszul Duality Norwestern University, October 29, 2012.
Expository Talks
-Lubin-Tate Theory. Student Algebraic Geometry Seminar. Spring 2012
-Homotopy Coherence and Rectification. Topology Progress Seminar. Spring 2012.
-Area Exam : Models for (∞, n)-categories and the Cobordism Hypothesis. Winter 2011.
-Surgery up to the Middle Dimension. Topology Progress Seminar. Spring 2011.
-Adams’ J(X)-IV and the e-invariant. Topology Classics Seminar. Spring 2011.
- An Introduction to the Goodwillie Calculus. Graduate Student Topology Seminar. Spring 2010.
-Dwyer-Kan Simplicial Localization (3 talks). Graduate Student Topology Seminar. Fall 2010.
-The Thom-Pontrjagin Construction and Stable Homotopy. Graduate Student Seminar. Spring
2009.
Conferences Attended
- Copenhagen Topology Conference 2010. Jan 8 - Jan 10, 2010, Copenhagen, Denmark.
- West Coast Algebraic Topology Summer School: Homotopy Theory of Moduli Spaces. Aug 9-14
2010, University of Oregon, Eugene, Oregon.
- MSRI Hot Topics: The Kervaire Invariant. Oct 25-Oct 29 2010, MSRI, Berkeley, California.
- Conference on Homotopy Theory and Derived Algebraic Geometry. Aug. 30 - Sept. 3 2010. Fields
Institute, Toronto.
- Park City Mathematics Institute : Moduli Spaces of Riemann Surfaces. July 3- July 23 2011, Park
City Utah.
- Michigan Derived Algraic Geometry RTG Learning Workshop. May 17- 19, 2012. Ann Arbor,
Michigan.
- West Coast Algebraic Topology Summer School: Algebraic K-theory. July 16-20, 2012. Stanford,
CA
- Stanford Symposium. July 23-27, 2012. Stanford, CA.
- Fourth Arolla Conference on Algebraic Topology. August 20-26, 2012. Arolla, Switzerland.
- The Legacy of Daniel Quillen: K-theory and Homotopical Algebra. October 6-8, 2012. Cambridge,
MA.
- Midwest Topology Seminar. October 27-28, 2012. Michigan State University, East Lansing,
Michigan.
- Workshop on Equivariant, Chromatic and Motivic Homotopy Theory. March 25-29, 2013. Northwestern Universtiy, Evanston, Illinois.
- Introductory Workshop, Algebraic Topology. January 27-31, 2014. MSRI, Berkeley, CA.
- Reimagining the Foundations of Algebraic Topology. April 7-11. MSRI, Berkeley, CA.
Awards and Honors
Recipient of ARCS Fellowship, 2012-2013
Other Professional Activities
For the 2009-2010 year, organized the Graduate Student Seminar, a forum for graduate students to
talk about results of general interest.
Teaching Experience: Instructor
Instructor, Math 408C
Austin, TX
Primary instructor for Math 408M — First Semester Calculus
University of Texas
August 2014 - December 2014
Instructor, Math 408M
Austin, TX
Primary instructor for Math 408M — Multivariable Calculus
University of Texas
January 2014 - May 2014
Instructor, Math 408D
Austin, TX
Primary instructor for Math 408D — Multivariable Calculus
University of Texas
September 2013 - December 2013
Teacing Exerpience: Teaching Assistant
Course Assistant Math 52A
Stanford University
Stanford, CA
September 2008 - December 2008
Course Assistant for Advanced Multivariable Calculus. Responsibilites for all CA positions include
holding office hours, grading homework and writing up solutions to homework.
Course Assistant Math 20
Stanford, CA
Course Assistant for Integral Calculus
Stanford University
March 2009 - May 2009
Teaching Assistant For Math 51
Stanford University
Stanford, CA
September 2009-December 2009
Teaching Assistant for Linear Algebra and Multivariable Calculus. Responsibilities for all TA positions include teaching two sections twice a week and holding office hours.
Course Assistant Math 151
Stanford, CA
Course Assistant for Differential Topology
CA for Math 116
Stanford, CA
Course assistant for undergraduate Complex Analysis.
Teaching Assistant for Math 51
Stanford, CA
Teaching Assistant for Linear Algebra and Multivariable Calculus
Stanford University
March 2010 - May 2010
Stanford University
January 2011-March 2011
Stanford University
March 2011-May 2011
Teaching Assistant for Math 51 ACE
Stanford University
Stanford, CA
September 2011-December 2011
Teaching Assistant for Linear Algebra with Multivariable Calculus. Held a two-hour section twice
a week. Coordinated with an engineering diversity program (ACE).
Course Assistant For Math 121
Stanford University
Stanford, CA
Course Assistant for Modern Algebra II : Galois Theory.
January 2012-March 2012
Previous Research Positions
UROP
Victor Guillemin
Cambridge,MA
Summer 2006
Contributing to and editing Prof. Guillemin’s notes on the Ising model of ferromagnetism.
UROP
Victor Guillemin
Cambridge, MA
Summer 2005
Research and reading in Lie algebras under Prof. Guillemin. Also, I helped edit a set of lecture
notes for a course in symplectic geometry to be taught at Harvard in Fall 05.
UROP
Daniel Kleitman
Cambridge, MA
Summer 2004
I conducted research in graph theory under Prof. Daniel Kleitman of the Department of Mathematics. Specifically I researched the conditions under which planar graphs could be partitioned into a
forest (a collection of trees) and a graph with small maximal degree.
Previous Jobs
Quantitative Research Associate
Edison Mission Marketing and Trading
Boston, MA
July 2007 - July 2008
Responsibilities included data analysis, running simulations of energy systems, incorporating other
quantitative information that goes into energy trading.
Publications
1. 18.103 Course Notes, Publsihed on MIT’s Open Courseware site at
http://ocw.mit.edu/OcwWeb/Mathematics/18-103Spring2004/CourseHome/index.htm
2. 18.117 Course Notes, Published on MIT’s Open Courseware site at
http://ocw.mit.edu/OcwWeb/Mathematics/18-177Spring-2005/CourseHome/index.html
Computer Skills
Experience with Windows, Mac, and Linux machines. Programming languages: Extensive experience with Mathematica and familiarity with Matlab, Python, Haskell, Scheme (LISP), Perl. Experience with the database program FileMaker and with SQL and Microsoft Access.