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 |