London School of Geometry and Number Theory (LSGNT)Topics in Number Theory 2023/24 |
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 18 |
Caleb Springer |
Counting points on varieties in characteristic p |
E. Aylward |
|
Oct 25 |
Alex Best |
The Weil conjectures |
C. Crossley |
S. Vassiliadis
|
Nov 8 |
Alex Walker |
L functions |
A. Lopez |
|
Nov 15 |
Peter Jossen |
Elliptic curves and abelian varieties |
|
C. Rudrum |
Nov 22 |
Fred Diamond |
Galois representations |
D. Simms + C. Sonne |
H. Spencer |
Nov 29 |
Matthew Honnor |
From the Class number formula to the Birch-Swinnerton-Dyer Conjecture |
S. Ciprietti + B. Wilson |
J. Tilley |
Dec 6 |
Robert Rockwood |
An introduction to Iwasawa theory/special values conjectures |
Y. Fam + B. Simeonov |
A. Varshney |
Dec 13 |
Alexei Skorobogatov |
Diophantine Equations |
S. Varljen + R. Mascharak |
|
Jan 24 |
Lassina Dembele |
Modular forms |
|
G. Navone |
Jan 31 |
Stephen Lester |
Introduction to the theory of the Riemann zeta function |
A. Acosta |
M. Haghshenas |
Feb 7 |
TBD |
TBD |
|
|
Feb 14 |
Ian Petrow |
The fourth moment of the Riemann zeta function |
P. Mashayekhi |
A. Wolf |
Feb 21 |
George Boxer |
An introduction to the geometry of Shimura varieties in characteristic p |
P. Lezeau + M. Wisse |
|
Feb 28 |
Aled Walker |
Pair correlation of zeros of the Riemann zeta function |
C. Mujdei |
|
In the first semester the lectures take place 10-12 am at the CDT space at Imperial College. |