I am an NSF postdoc at Princeton University. My Sponsor is Chris Skinner. When I was a graduate student at Columbia, my advisor was Eric Urban.
My email address is sm7928 "at" princeton "dot" edu.
For an introduction to some of my research, here is a video of a talk I gave on my thesis in the Princeton/IAS Number Theory Seminar in April of 2020.
I am currently an organizer of this seminar.
Eisenstein series for G2 and the symmetric cube Bloch--Kato conjecture. This paper does what my thesis below does, but under less restrictions (in particular the level 1 hypothesis of my thesis is removed here). In the appendix, I also expand the discussion of Arthur's conjectures for G2 relative to what is said in my thesis.
Eisenstein series for G2 and the symmetric cube Bloch--Kato conjecture. This is my Ph.D. thesis, which essentially contains the paper below. Besides what is described below, in this thesis I p-adically deform a certain Eisenstein series for G2 in a generically cuspidal family, and I use the Galois representations attached to cuspidal members of this family to construct a certain nontrivial class in the Selmer group of the symmetric cube of the Galois representation attached to a cuspidal eigenform of level 1.
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 thesis.
