Expanders, Group Theory, Arithmetic Geometry, Cryptography and Much More |
Introduction to Artin L-series (1 of 3) |
Artin’s holomorphy conjecture and recent progress (2 of 3) |
Special values of Artin L-series (3 of 3) |
Distribution of Values of zeta and L-functions (1 of 3) |
Moments of zeta and L-functions on the critical Line I (2 of 3) |
Moments of zeta and L-functions on the critical Line II (3 of 3) |
Ranks of elliptic curves |
Numbers and Shapes |
Cryptography: Secrets and Lies, Knowledge and Trust |
The power and weakness of randomness (when you are short on time) |
Native American Mathematics |
The rank of elliptic curves |
Undecidability in Number Theory |
An arithmetic intersection formula for denominators of Igusa class polynomials |
OM representation of prime ideals and applications in function fields |
Abelian Varieties Multi-Site Seminar Series: Drew Sutherland |
Lifts of Hilbert modular forms and application to modularity of Abelian varieties |
On the local Langlands conjectures |
Multivariate (phi, Gamma)-modules |
Polya’s Program for the Riemann Hypothesis and Related Problems |
Some specialization problems in Geometry and Number Theory |
Class Numbers of Certain Quadratic Fields |
Regular Representations of Groups |
Explicit results about primes in Chebotarev's density theorem |
Richard Guy and the Encyclopedia of Integer Sequences: A Fifty-Year Friendship |
The favorite elliptic curve of Richard |
Aliquot sequences |
Crossing Numbers of Large Complete Graphs |
The Notorious Collatz conjecture |
The Life and Numbers of Richard Guy (1916 – 2020) |
Unsolved Problems in Number Theory |
A moment with L-functions |
Selberg's central limit theorem for quadratic Dirichlet L-functions over function fields |
One-level density of zeros of Dirichlet L-functions over function fields |
The recipe for moments of L-functions |
Negative moments of the Riemann zeta function |
Lambert series of logarithm and a mean value theorem for ζ(12−it)ζ′(12+it) |
Asymptotic mean square of product of higher derivatives of the zeta-function and Dirichlet polynomials |
The generalised Shanks's conjecture |
Logging of the zeta-function, but only for a few moments! |
Quantum variance for automorphic forms |
Limitations to equidistribution in arithmetic progressions |
Discrete Moments |
Moments of large families of Dirichlet L-functions |
Lp-norm bounds for automorphic forms |
Double square moments and bounds for resonance sums for cusp forms |
Moments and periods for GL(3) |
Twisted first moment of GL(3)×GL(2) L-function |
Geodesic restrictions of Maass forms and moments of Hecke L-functions |