In Fall 2026, I'm organising a reading group at the University of Arizona to study Harashita's papers on computing the generic Newton polygon for a given Ekedahl-Oort stratum (first slope case and complete case). The schedule is as follows:
30th Sept: Overview + goal (Sandra Nair)
7th Oct: Dieudonne theory (Tyler Feemster)
14th Oct: Weyl group coset representatives (Evan Hyzer)
21st Oct: EO and Newton stratifications (James Lee)
28th Oct: Examples of first slope computations (Sandra Nair)
4th Nov: F-zips and displays (Bryden Cais + Serin Hong)
The recommended resources are:
Pries: A short guide to p-torsion of abelian varieties in characteristic p
Moonen's paper on group schemes and Weyl group representatives
Amie Wooding's doctoral dissertation
This is an evolving section. I will update the notes from the talks when they become available.
I participated in an online student run seminar on p-adic geometry in Fall 2025. Here is their website.
Here are some notes I took down from different conferences and workshops. All mistakes are mine.
Australian Direction Emerton+Kisin birthday conference (conference website)
KIAS Categorical Langlands Summit (conference website)
AIM workshop on p-adic techniques in Shimura varieties (problem list)
AMS sectional Boston College 2026
Nick Katz's 80th bday conference (Princeton)
Pan Asia Number Theory conference 2024
VIASM 2024 Summer School on Galois Representations
Women+ and Mathematics 2024 (Note: I could not participate in-person; these are notes from the publicly available recorded lectures)
Here are notes for various internal talks I have given:
Tate modules and Weil pairings
Abelian Varieties and some interesting Arithmetic
Here are some notes for different topics of interest:
The tip of Galois Representations
An overview of étale cohomology
Here are some handwritten lecture notes from graduate maths classes taken at the University of Michigan. All errors are mine. You might observe the evolution of my handwriting as I got used to writing on a tablet.
Math 596 (Complex Analysis) Math 614 (Commutative Algebra)
Math 592 (Algebraic Topology) Math 697 (Moduli of curves - special topic)
Math 597 (Real Analysis) Math 731 (F-singularities - special topic)
Here are some tools I use in my day-to-day maths life.
LaTeX (Overleaf) tikzd edior Quiver (commutative diagram editor) DeTeXify
Here are some materials that might be helpful for folks preparing for the Putnam exam. I do not claim any intellectual rights over these.
The CSU Putnam club page is maintained by Prof. Maria Gillespie. The Putnam archive is run by Prof. Kiran Kedlaya.
I am a recurring columnist at the CSU Torus maths dept newsletter. I contribute the Problem of the Month. Here are some of the past problems and solutions: POTM CSU Torus