Course Notes
Undergraduate algebra
central functions
Burnside pq theorem
Hilbert Nullstellensatz
examples of character tables
character tables of S5 and A5
solving cubic and quartic equations
notes on semisimple algebras
symmetric polynomials
a short summary of elementary number theory
Graduate courses
Algebraic Number theory
Fall 1993, by Jeff Achter
Spring 1994, by Jeff Achter
1996-97
Fall 2014
Fall 2016
Fall 2022
Spring 2023
Complex algebraic geometry, spring 1996
Ellilptic functions, spring 2015
Commutative algebra, spring 2025
Faltings's original proof of the Mordell conjecture, fall 2023
Faltings's proof of Lang's conjecture via diophantine approximation
Algebras with involution and linear algebraic groups, fall 2024