London School of Geometry and Number Theory (LSGNT) 

Topics in Number Theory 2024/25



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.


Schedule of lectures 

Date        

Lecturer 

Title 

Owner 

Supervisor 

Oct 16

Owen  Patashnick

Counting points on varieties in characteristic p  

Silvia Gangeri

E. Aylward

Oct 23

Nick Shepherd-Barron

The Weil conjectures  

Natasha Diederen

C. Crossley

Nov 6

Alex Walker

L functions 

Yichen Zhang

R. Mascharak

Nov13

Peter Jossen

Elliptic curves and abelian varieties 

Patrick  Luo

J. Schrettner

Nov  20

Andrea Dotto

Galois representations  

Lucie Gatzmaga

C. Sonne

Nov 27

Oliver Gregory

From the Class number formula to the Birch-Swinnerton-Dyer Conjecture  

Naina Praveen

S. Ciprietti 

Dec 4

TBD

An introduction to Iwasawa theory/special values conjectures 

Matteo Di Scipio + Javier Lopez-Contreras 

Y. Fam 

Dec 11

TBD

Diophantine Equations 

Tobias Dear

S. Varljen 

Jan 22

Lassina Dembele

Modular forms 

Haoran Liang

A. Bruch

Jan 29

Stephen Lester

Introduction to the theory of the Riemann zeta function 

Zhaoyang Liu

A. Acosta

Feb 5

 

TBD

Simon Alonso

I. Fairclough

Feb 12 

 Ian Petrow

The fourth moment of the Riemann zeta function 

Nirmal Krishnan 

P. Mashayekhi

Feb 19 


TBD

Ashesh Bati

P. Lezeau

Feb 26

Yiannis Petridis

Weyl subconvexity for the Riemann zeta function (tentative)

Andrew Yang

C. Mujdei




Times and locations 

In the first semester the lectures take place 10-12 am at the CDT space at Imperial College.