Course notes

These are a mixture of notes from courses I took as well as ones I have taught. I tried to list the instructor with the notes and I hope these attributions are correct. Any errors in the notes are most likely due to my misunderstanding at the time and not due to the instructor. Please use these at your own risk, they likely do contain some errors!

**Abstract Algebra****Algebraic Geometry***Algebraic curves*(Robert Lazarsfeld - University of Michigan)*Algebraic curves and Riemann surfaces**Algebraic geometry I*(Karen Smith - University of Michigan)*Algebraic geometry II*(Karen Smith - University of Michigan)*Algebraic geometry I**Algebraic geometry II***Algebraic Number Theory***Algebraic number theory*(Chris Skinner - University of Michigan)*Algebraic number theory***Analytic Number Theory***Analytic number theory*(Kannan Soundararajan - University of Michigan)**Automorphic Forms****Class Field Theory***Class field theory*(Brian Conrad - University of Michigan)*Local class field theory**Global class field theory***Complex Analysis****Elliptic Curves***CM theory of elliptic curves*(VIGRE reading group - University of Michigan)*Elliptic curves*(Brian Conrad - University of Michigan)**Iwasawa Theory***Iwasawa theory*(Chris Skinner - University of Michigan)*Iwasawa theory (Student seminar - University of Michigan)***L-functions***Automorphic L-functions (Eric Wambach - Caltech)***Lie Algebras and Lie Groups***Lie Groups (Ryan Stuffelbeam - Ohio State University)**Lie groups and Lie algebras***Linear Algebra****Modular forms***Modular forms (Brian Conrad - University of Michigan)**Modular forms (Kannan Soundararajan - University of Michigan)***Number theory***Congruent numbers and elliptic curves**Undergraduate number theory**Graduate elementary number theory (Trevor Wooley - University of Michigan)***Real Analysis****Representation Theory***Representation theory (Mahdi Asgari - University of Michigan)***Shimura Varieties***Shimura varieties (VIGRE Seminar - University of Michigan)***Topology****Trace Formula***Trace formula for GL(2) (Dinakar Ramakrishnan - Caltech)**Trace formula for GL(2) - Applications (Dinakar Ramakrishnan - Caltech)*

email: jimlb@oxy.edu | phone: 323-259-2680 | office: Fowler 305 |