3rd year graduate student at Columbia University. My advisor is Eric Urban.
This semester Dave Hansen and I are organizing a seminar on The Local Langlands Correspondence.
Time and place: Thursdays 2:30-4:00 in Mathematics 622.
|January 25||Introductory Talk||Dave Hansen|
|February 1||Review of Smooth Representations I (Talk at 1:00)||Shrenik Shah|
|February 8||Review of Smooth Representations II||Shrenik Shah|
|February 15||Square Integrable, Tempered, and Generic Representations||Dan Gulotta|
|March 1||Weil-Deligne Representations I|
|March 8||No talk||AWS|
|March 15||No talk||Spring break|
|March 22||Weil-Deligne Representations II|
|March 29||Statement of the Local Langlands Correspondence;
Reduction to Supercuspidals
|April 5||Examples: GL_2|
Hida Theory Seminar (Fall 2017)
Shimura Varieties Reading Group Summer 2017
Algebraic Number Theory Meetings Spring 2016
Here is my senior thesis (45 pages). The last section contains a new adelic proof of the Riemann-Roch Theorem for number fields.
Here is a link to my paper on this proof on the arXiv (8 pages).
Local Compactness and Number Theory: These are the notes for a seminar course (Math 639 Section 001) which I taught at UNM in the spring of 2015.
Using compact or discrete rings to extend their Pontrjagin duals, in the category of locally compact abelian groups.
Example: One can extend the circle by the integers to obtain the reals (I have a weird way of doing this.)
Adelic surface area (see my undergraduate thesis.)