London School of Geometry and Number Theory (LSGNT)Topics in Number Theory 2023/24 
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 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 BirchSwinnertonDyer 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 1012 am at the CDT space at Imperial College. 