London School of Geometry and Number Theory (LSGNT)Topics in Number Theory 

Date 
Lecturer 
Title 
Owner 
Leader 


Act I: Lfunctions via counting points 


Oct 11  Owen Patashnick  Diophantine Equations  Angela Wu  Gregorio 
Oct 18  Alex Betts  Counting points on Varieties I: The ChevalleyWarning Theorem  Benjamin Aslan  Yin 
Oct 25  Mahesh Kakde  Counting points on Varieties II: Elliptic Curves  Matthew Habermann  Raffael 
Nov 1  Ardavan Afshar  Counting points on Varieties III: Diagonal Equations and Jacobi Sums  Ashwin Iyengar & Hanneke Wiersema  Fabian 
Nov 8  Kevin Buzzard  Lfunctions of varieties and the Weil Conjectures  Sarah Nowell & Petru Constantinescu  Albert 
Nov 15  Vladimir Dokchitser  Lfunctions of Elliptic curves: The BirchSwinnertonDyer Conjecture  Lorenzo Laporta  Giulia 


Act II: Lfunctions via analysis 


Nov 22  Igor Wigman  The Riemann Zeta function and the Dirichlet Lfunctions  Brad Doyle  Andrea 
Nov 29  Winston Heap  The Analytic Class Number Formula  Johannes Girsch  Luigi 
Dec 6  Payman Kassaei  Modular forms and their Lfunctions I  Daniel Platt  Galen 
Dec 13  James Newton  Modular forms and their Lfunctions II  David Sheard  Tim 


Act III: A unification theory 


Jan 17  Kevin Buzzard  The ShimuraTaniyamaWeil Conjecture: statement and examples  Omri Faraggi & Andrew Graham  TBD 
Jan 31  fred Diamond  A brief survey of the proof of Fermat's Last Theorem I  Pol van Hoften & Samuel Stark  TBD 
Feb 14  Toby Gee  A brief survey of the proof of Fermat's Last Theorem II  N/A  N/A 