London School of Geometry and Number Theory (LSGNT)Topics in Number Theory 2022/23 |
Topics in Number Theory is a year-long course taught every year to the first-year LSGNT students. This version of the course is designed by Fred Diamond and Payman Kassaei (and organized by PK). It is taught collaboratively by academics in London. Each lecture is followed by a wrap-up session in which students (the owners) are in charge of organizing presentations where solutions to problem sets or other aspects of the topic are discussed. A senior student (the supervisor) will be present at each wrap-up session. |
Date |
Lecturer |
Title |
Owner |
Supervisor |
Oct 19 |
|
Counting points on varieties in characteristic p |
M. Masters |
|
Oct 26 |
|
The Weil conjectures |
|
D. Mamaev |
Nov 9 |
Luis Garcia Martinez |
L functions |
|
|
Nov 16 |
Peter Jossen |
Elliptic curves and abelian varieties |
|
A. Livingston |
Nov 23 |
Fred Diamond |
Galois representations |
H. Spencer |
A. Satoskar |
Nov 30 |
Vladimir Dokchitser |
From the Class number formula to the Birch-Swinnerton-Dyer Conjecture |
|
D. Angdinata |
Dec 7 |
Robert Rockwood |
An introduction to Iwasawa theory/special values conjectures |
A. Varshney + I. Rendell |
S. Monnet |
Dec 14 |
Alexei Skorobogatov |
Diophantine Equations |
A. Bozovich |
|
Jan 25 |
Lassina Dembele |
Modular forms |
G. Navone |
D. Gordo Chicharro |
Jan 31 |
Stephen Lester |
Introduction to the theory of the Riemann zeta function |
|
Y. Yang |
Feb 8 |
Netan Dogra |
Rigid Geometry and p-adic integration |
|
|
Feb 15 |
Ian Petrow |
The fourth moment of the Riemann zeta function |
|
M. Levin |
Feb 22 |
George Boxer |
An introduction to the geometry of Shimura varieties in characteristic p |
|
|
March 1 |
Aled Walker |
Pair correlation of zeros of the Riemann zeta function |
|
|
The lectures take place 10-12 am. |