Class notes and Resources

Notes from UMich classes

Here are some handwritten lecture notes from graduate math 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 1)

Math 592 (Algebraic Topology) Math 697 (Moduli of curves - special topic)

Math 597 (Real Analysis) Math 731 (F-singularities - special topic)

Notes from CSU classes

Here are some handwritten lecture notes from graduate math classes taken at Colorado State University. All errors are mine. 

Cellular sheaves and Cohomology

Notes from selected internal talks

Here are handwritten notes for various internal talks I have given:

Intro to Berkovich spaces   Tate modules and Weil pairings

Abelian Varieties and some interesting Arithmetic          Weyl group cosets 

What is a Shimura Curve?   Elliptic curves and Modularity

p-divisible groups and Newton stratification

Notes from various conferences

Here are some notes I took down from different conferences and workshops that I attended. All mistakes are mine.

IAS spring p-adic geometry Nick Katz's 80th bday conference (Princeton) 

SLMath/MSRI lectures 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 recorded lectures available on the IAS YouTube channel)

Expository notes

Here are some notes for different topics of interest:

The tip of Galois Representations An overview of étale cohomology 

Math competition / recreational materials

Here are some materials that might be helpful for folks preparing for the Putnam exam. I do not claim any intellectual rights over these.

I have been a recurring columnist at the CSU Torus newsletter. I contribute the Problem of the Month. Here are some of the past problems and solutions:

POTM CSU Torus