Professional Activities
Mathematical Notes
Below are some expository notes that I have written while studying various topics in algebra, number theory, probability and statistics.
Serre's A Course in Arithmetic
Personal notes based on Jean-Pierre Serre's A Course in Arithmetic. Work in progress.
Notes on Scheiderer's Real Algebra
Personal notes based on Real Algebra by Claus Scheiderer and Manfred Knebusch. Work in progress.
Solutions to Selected Exercises from Hogg, McKean, and Craig
Personal notes and solutions to selected exercises from Introduction to Mathematical Statistics by Robert V. Hogg, Joseph W. McKean, and Allen T. Craig. Work in progress.
Selected Talks
Almost Strong Approximation in Reductive Algebraic Groups, Seminar of the Institute of Mathematics, University of Warmia and Mazury, Poland (July 2025).
Computation of the Brauer Group for Certain Types of Fields, Galois-Grothendieck Seminar, University of Virginia, USA (December 2024).
Witt Vectors, Class Field Theory Seminar, University of Virginia, USA (April 2024).
Grothendieck Topologies, Galois-Grothendieck Seminar, University of Virginia, USA (April 2022).
Galois-Grothendieck Seminar Notes
During my PhD studies at the University of Virginia, I participated in the Galois-Grothendieck Seminar led by my PhD advisor, Professor Andrei Rapinchuk. Below are my notes from several years of the seminar, organized by academic year.