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