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 2:304:00 in Mathematics 622.
References:
Tentative Schedule:
Date  Title  Speaker 

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 
February 22  \epsilonFactors  
March 1  WeilDeligne Representations I  
March 8  No talk  AWS 
March 15  No talk  Spring break 
March 22  WeilDeligne Representations II  
March 29  Statement of the Local Langlands Correspondence; Reduction to Supercuspidals 

April 5  Examples: GL_2  
April 12  Examples  
April 19  
April 26  
May 3  
May 10 
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 RiemannRoch 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.)