My current mathematical interests are in group cohomology, Brauer groups, algebraic K-theory, Chevalley groups, and algebraic groups. This page contains an assortment of my mathematical writing, including seminar talk notes, homework sets, and other things.
The "sample" links in the scale theory beamer slides don't work, sorry.
Note that I am not the sole author.
Professor: Igor Rapinchuk
Professor: Igor Rapinchuk
Professor: Rajesh Kulkarni
The following are various resources I created for myself in preparation for my comprehensive exam in Spring 2019. The topics of the exam were group cohomology, Brauer groups, algebraic K-theory, and some algebraic number theory.
These are notes for a student seminar that I ran with the help of Nick Rekuski and Suo Jun (Stan) Tan at Michigan State University during spring of 2019. Of the notes below, Stan wrote notes and presented for weeks 4, 5, 12, and 13, and Nick wrote notes and presented weeks 2, 8, and part of 9. The rest (1,3,6,7,9,10,11) are my own notes.
Professor: Aaron Levin
Professor: Igor Rapinchuck
Professor: George Pappas Textbooks: Commutative Algebra, Atiyah-MacDonald.
Professor: Peter Maygar Textbooks: Modern Graph Theory, Béla Bollobás and Graph Theory, Reinhard Diestel
Professor: Michael Shapiro Textbook: Quiver Representations, Ralf Schiffler
Professor: Matthew Hedden Textbook: Algebraic Topology, Allen Hatcher
Professor: Jonathan Hall
Professor: Michael Shapiro Textbook: Representation Theory: A First Course, William Fulton and Joe Harris
Professor: Jeff Schenker Textbook: Complex Function Theory, Donald Sarason
Professor: Rajesh Kulkarni Textbook: Algebra, Serge Lang
Professor: Matt Hedden Textbook: Algebraic Topology, Allen Hatcher
Professor: Alexander Volberg Textbook: Real Analysis: Measure Theory, Integration, and Hilbert Spaces, Elias Stein and Rami Shakarchi
Professor: Rajesh Kulkarni Textbook:Algebra, Serge Lang
Professor: Xiaodong Wang Textbook: Introduction to Smooth Manifolds, John Lee
Advisor: Christopher Moseley Textbook: Introduction to Lie Algebras, Karin Erdmann and Mark Wildon