Education Research Publications Teaching CV Personal
Joe Johns
| Courant Institute of Mathematical Sciences
| Phone: 212 998 3249 |
| New York University
| Email: jjohns AT cims DOT nyu DOT edu |
| 251 Mercer Street | |
| New York, NY 10012 |
|
Education
- University of Chicago, Ph.D. in Mathematics, 2006
- Thesis Title: Complexification of Morse Functions and the Fukaya Category
- Advisor: Paul Seidel
- University of Toronto, B.S. in Mathematics, 2000
Research
- A summary of recent research. (6 pages)
Publications and preprints
- Complexifications of Morse functions and the
directed Donaldson-Fukaya category. (72 pages) Submitted to Journal of Symplectic Geometry, August 2008.
- The Picard-Lefschetz theory of complexified Morse functions. (68 pages) Submitted to Geometry and Topology, June 2009
- Symplectic plumbing, Morse-Bott handle attachments, and Lagrangian surgery (17 pages) All technical details are complete; introduction, etc. under construction
- The Flow category and the Fukaya category (14 pages) All technical details are complete; introduction, etc. under construction
- An open mapping theorem for o-minimal structures, Joseph Johns, The Journal of Symbolic Logic, vol. 66, no.4 (Dec. 2001) pp. 1817-1820.
Teaching
- 2006-2009 Courant Instructor Mathematics, University of New York
Algebra I: Groups and Rings
Calculus II: College Calculus
Calculus I: College Calculus
- 2002-2006 Instructor in the College Mathematics, University of Chicago
Mathematics 19500, Multivarriable Calculus
Mathematics 19600: Linear Algebra
Mathematics 15200, 15300: College Calculus
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