Meeting Time:The first meeting is tentatively on Monday September 28 in MS 5148
Mondays and Wednesdays 1:00pm to 1:50pm in MS 5148 and on Fridays, either 1:00pm to 1:50pm in MS 5148 or 4:00pm to 5:50pm in MS 5117 (the room and time for the Friday meeting following each Monday will be announced earlier in the week)
Office hours: Before class meetings, from 12:00noon to 12:50pm (MW) in my office: MS6308.

Texts: Lecture notes are now posted:
Notes (pdf file, now posted); Reference (a list of references, a tentative version posted)

As reference books, we list
"Modular forms and Galois cohomology" (Cambridge studies in advanced mathematics 69)
"Geometric Modular Forms and Elliptic Curves" (World Scientific)

Topics: I would touch the following topics in this course:

• Basics of Galois deformation theory (and representation theory of pro-finite groups);
• Sketch of proofs of different R=T theorems.


• Related topics will be touched upon in Math 290B student seminar on Mondays (MS5117) or Wednesdays (MS5138) at 4:00pm-5:50pm (students are encouraged to attend; meeting day depends on the week).

Prerequisite:
Good understanding of commutative and non-commutative algebra, algebraic number theory, basic arithmetic geometry (old course notes on arithmetic modular forms/elliptic curves [pdf]) and basic Galois cohomology (old course notes on Galois cohomology [pdf]).