London School of Geometry and Number Theory (LSGNT)Topics in Number Theory 2022/23 
Topics in Number Theory is a yearlong course taught every year to the firstyear 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 wrapup 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 wrapup 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 BirchSwinnertonDyer 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 padic 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 1012 am. 