I am a Ph.D. candidate in the Department of Mathematics at the University of California, Riverside, working with Professor John Baez on categorification of Hecke algebras and related topics.
Education
I received my undergraduate degree in mathematics and computer information science from Brooklyn College at the City University of New York. My senior research included an implemention of a relevance sensitive belief revision program designed on the ideas in a paper, found here, by my advisor Dr. Samir Chopra. Before that I studied at Eugene Lang College at the New School University in Manhattan. It is a great place. If you don't know about it, you should check it out.
Papers.
Convenient Categories of Smooth Spaces (with John Baez) (Accepted for publication in Transactions of the American Mathematical Society)
Categorified Symplectic Geometry and the Classical String (with John Baez and Chris Rogers)
Groupoidification Made Easy (with John Baez and Christopher Walker) (in progess)
Talks.
04/19/08 - Knots in Washington XXVI – Smooth spaces: Convenient categories for differential geometry
11/11/08 - Claremont Algebra Seminar - Groupoidification
11/11/08 - Claremont Topology Seminar – Multisymplectic Geometry and Lie 2-Algebras
11/22/08 - Groupoidfest 2008 – A Categorification of Hecke Algebras
01/07/09 - AMS Special Session on Categorification and Link Homology, II
01/09/09 - Knots in Washington XXVII - A Categorification of Hecke Algebras
02/04/09 - Higher Structures in Topology and Geometry II - Groupoidification - A Categorification of Hecke Algebras (Preconference talk)
02/05/09 - Higher Structures in Topology and Geometry II - Smooth spaces: Convenient categories for differential geometry - slides
02/23/09 - New York City Category Theory Seminar - Groupoidification - A Categorification of Hecke Algebras
05/02/09 - Fields Smooth Structures Workshop in Logic, Category Theory and Physics slides
UCR Talks.
Need to get the dates...Well, here are some.
Unknown date and time - Lecture on categories of smooth spaces in the Mathematical Physics Seminar
Spring 2008 - Series of 5 lectures on smooth spaces in the Quantum Gravity Seminar
11/06/08 - Lectures on category theory, groupoidification, and Hecke algebras in the Groupoid Seminar
05/15/09 - Lecture on antigravity method for simply-laced cyclotomic quotients of Khovanov-Lauda algebras in graduate student seminar
Here are the slides from my oral examination. This was a presentation on my paper with John Baez on convenient categories of smooth spaces.
Here are some notes on lectures given by Chris Rogers on our paper with John Baez.
Teaching.
As a teaching assistant I taught the following courses.
Math 9A - Differential Calculus
Math 22 - Business Calculus
Math 9C - Sequences and Series
Math 5 - College Algebra
Math 8B - Trigonometry & Differential Calculus
Math 145B - Introduction to Topology
Math 165B - Introduction to Complex Variables
Math 113 - Linear Algebra
I was the primary instructor for a Math 9A (Differential Calculus) course. You can read my teaching evaluations here and comments here.
Lecture notes from TFT seminar at Northwestern
David Ben-Zvi Lecture 1
David Ben-Zvi Lecture 2
David Ben-Zvi Lecture 3
David Ben-Zvi Lecture 4
Orit Davidovich
John Francis
Jacob Lurie Lecture 1
Jacob Lurie Lecture 2
Jacob Lurie Lecture 3
Jacob Lurie Lecture 4
Bertrand Toen Lecture 1
Bertrand Toen Lecture 2
Bertrand Toen Lecture 3
Bertrand Toen Lecture 4
Christoph Wockel
I am not at the conference but luckily Christoph Wockel is keeping up with some note taking.
Julie Bergner Talk
Kevin Costello Talk
Chris Douglas Talk
Liang Kong Talk
Jacob Lurie Talk