Video Content by Subject Area

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 $\zeta(\frac{1}{2}-it)\zeta'(\frac{1}{2}+it)$
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
$L^p$-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 $GL(3)\times GL(2)$ $L$-function
Geodesic restrictions of Maass forms and moments of Hecke $L$-functions