Sam Mundy

6th year graduate student at Columbia University. My advisor is Eric Urban.

For an introduction to my current research, here is a video of a talk I gave in the Junior Number Theory Days conference, hosted by Johns Hopkins University.
Here are the slides.

Past Seminars and Teaching:

Seminar on the Cohomology of Arithmetic Groups (Fall 2019)

Seminar on the Proof of Local Langlands (Spring 2019)

Calculus I (Fall 2018)

Local Langlands Seminar (Spring 2018)

Undergraduate Seminar (Spring 2018)

Hida Theory Seminar (Fall 2017)

Shimura varieties Reading Group (Summer 2017)

Algebraic Number Theory Seminar (Spring 2016)

Some papers

Multiplicity of Eisenstein series in cohomology and applications to GSp4 and G2. In this paper I locate every instance of certain Eisenstein series in the cohomology of GSp4 and G2 and prove that my list is exhaustive. This is a first step in my forthcoming thesis.

Eisenstein Series on Reductive Groups. These are handwritten notes for my lectures on root systems, reductive groups, and the constant terms of Eisenstein series, given in the seminar on analytic number theory at Columbia in the spring of 2019.

Here is my undergraduate 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.

Here is a diagrammatic "statement" of the Eichler-Shimura Theorem for weight 2 modular forms. I have this printed on a coffee mug.

Tiny version:

I have a math blog, and a blog about extreme metal.

I walked from NYC to Boston during the summer of 2018.