Analytic Number Theory

Monday, September 29

9:00-9:30             Registration
9:30-10:30          Trevor Wooley, Vinogradov's mean value theorem and its associated restriction theory via efficient congruencing
10:30-11:00       Tea break
11:00-12:00       James Maynard, Large gaps between primes
12:00-13:00       Emmanuel Kowalski, Kloosterman paths and the shape of exponential sums
13:00-14:30       Lunch
14:30-15:30       Gergely Harcos, On the sup-norm problem for arithmetic hyperbolic 3-manifolds
15:30-16:00       Tea break
16:00-17:00       Andrew Granville
17:00-17:30       Julia Brandes, P-adic solubility for Birch's Theorem

Tuesday, September 30

9:30-10:30          Harald Helfgott, The ternary Goldbach problem
10:30-11:00       Tea break
11:00-12:00       John Friedlander, Quadratic polynomials with large coefficients
12:00-13:00       Chantal David, Statistics for zeroes of zeta functions of curves over finite fields
13:00-14:30       Lunch
14:30-15:30       Adam Harper, Exponential sums over smooth numbers
15:30-16:00       Tea break
16:00-17:00       Kannan Soundararajan
17:00-17:30       Stephen Lester, Sums of divisor functions in short intervals

Wednesday, October 1 - Clay Research Conference

9:30-10:30         Jonathan Pila, The Schanuel paradigm
10:30-11:00      Tea break
11:00-12:00      Scott Sheffield, Chinese dragons and mating trees
12:00-14:00      Lunch
14:00-15:00      Paul Seidel, Steenrod squares and symplectic fixed points
15:00-15:30      Tea break
15:30-16:30      Ben Green, Higher-order Fourier analysis and applications
16:30-17:00      Presentation of the Clay Research Awards
17:00-18:30      Reception 

Thursday, October 2

9:30-10:30         Tim Browning, Cubic hypersurfaces over global fields
10:30-11:00      Tea break
11:00-12:00      Vorrapan Chandee, The sixth moment of automorphic L-functions
12:00-13:00      Leo Goldmakher, An Erdos-Kac theorem for multiplicative orders
13:00-14:30      Lunch
14:30-15:30      Lillian Pierce, Averages and moments associated to class numbers of imaginary quadratic fields
15:30-16:00      Tea break
16:00-16:30      Christoph Aistleitner, Convergence of function series, GCD sums, and the maximum of the Riemann zeta function
16:30-17:00      Manfred Madritsch, Van der Corput sets

Friday, October 3

9:30-10:30          Maksym Radziwill, Sign changes of multiplicative functions and applications
10:30-11:00       Tea break
11:00-12:00       Dimitris Koukoulopoulos, The distribution of elliptic curves over prime finite fields
12:00-13:00       Fernando Shao, Additive decompositions of the set of primes
13:00-14:30       Lunch
14:30-15:30       Roger Heath-Brown, Small solutions of quadratic congruences
15:30-16:00       Tea break
16:00-16:30       Jesse Thorner, Applications of a short interval Bombieri-Vinogradov Theorem
16:30-17:00       Jonathan Bober, The frequency and the structure of large character sums