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### Past Seminars:

- Brad Rodgers

The distribution of random polynomials with multiplicative coefficients

Wednesday 2nd June 2021 - David Zywina

Modular curves and Serre's open image theorem

Wednesday 26th May 2021 - Naser Sardari

Higher Fourier interpolation on the plane

Wednesday 19th May 2021 - Seonhee Lim

Effective Hausdorff dimension of Bad sets

Wednesday 12th May 2021 - Claire Burrin

A sparse equidistribution problem for expanding horocycles on the modular surface

Wednesday 5th May 2021 - Fang-Ting Tu

A Whipple Formula Revisited

Wednesday 28th April 2021 - Laura Capuano

GCD results for certain divisibility sequences of polynomials and a conjecture of Silverman

Wednesday 21st April 2021 - Maki Nakasuji

Schur multiple zeta functions and their properties

Wednesday 24th March 2021 - John Voight

Counting elliptic curves with torsion, and a probabilistic local-global principle

Wednesday 17th March 2021 - YoungJu Choie

A generating functions of periods of modular forms

Wednesday 10th March 2021 - Mahesh Kakde

Brumer-Stark units

Wednesday 3rd March 2021 - Andrew Obus

Fun with Mac Lane valuations

Wednesday 24th February 2021 - Adam Morgan

4-ranks of class groups of biquadratic fields

Wednesday 17th February 2021 - Christina Roehrig

Siegel theta series for indefinite quadratic forms

Wednesday 10th February 2021 - Par Kurlberg

Distribution of lattice points on hyperbolic circles

Wednesday 3rd February 2021 - Daniel Gulotta

Vanishing theorems for Shimura varieties at unipotent level and Galois representations

Wednesday 27th January 2021 - Ayla Gafni

Asymptotics of Restricted Partition Functions - FRIDAY

Friday 22nd January 2021 - Chantal David

Moments and non-vanishing of cubic Dirichlet L-functions at s =1/2

Wednesday 16th December 2020 - Arul Shankar

The number of D_4-extensions of Q

Wednesday 9th December 2020 - Amanda Folsom

Eisenstein series, cotangent-zeta sums, knots, and quantum modular forms

Wednesday 2nd December 2020 - Ghaith Hiary

An Omega-result for S(t)

Wednesday 25th November 2020 - Heekyoung Hahn

Poles of triple tensor product L-fuctions involving monomial representations

Wednesday 18th November 2020 - Pedro Lemos

Residual Galois representations of elliptic curves with image in the normaliser of a non-split Cartan

Wednesday 11th November 2020 - Misha Rudnev

On convexity and sumsets

Wednesday 4th November 2020 - Matthew Young

The Weyl bound for Dirichlet L-functions

Wednesday 28th October 2020 - Sug Woo Shin

On GSpin(2n)-valued automorphic Galois representations

Wednesday 21st October 2020 - Lior Bary-Soroker

Random Polynomials, Probabilistic Galois Theory, and Finite Field Arithmetic

Wednesday 14th October 2020 - Gabriele Nebe

Automorphisms of extremal modular lattices

Wednesday 7th October 2020 - Vesselin Dimitrov

No shadowing bounds on Galois orbits in the complex plane

Wednesday 30th September 2020 - Danylo Radchenko

Fourier interpolation from zeros of the Riemann zeta function

Wednesday 23rd September 2020 - Dzmitry Badziahin

Diophantine approximation on the Veronese curve

Wednesday 16th September 2020 - Jennifer Balakrishnan

Quadratic Chabauty over number fields

Wednesday 17th June 2020 - Dmitrii Zhelezov

Logarithmic coordinate complexity and the few products-many sums phenomenon

Tuesday 16th June 2020 - Dave Platt

Numerical verification of the Riemann Hypothesis to 3•10^{12}

Wednesday 3rd June 2020 - Elisa Lorenzo García

Primes of bad reduction for genus 3 CM curves and their exponents on the discriminant (joint work with S. Ionica, P. Kilicer, K. Lauter, A. Manzateanu and C. Vincent)

Wednesday 27th May 2020 - Chan-Ho Kim

On the quantitative variation of congruence ideals of modular forms

Wednesday 20th May 2020 - Peter Humphries

Small Scale Equidistribution of Lattice Points on the Sphere

Wednesday 29th April 2020 - Brendan Murphy

Approximate subgroups in soluble linear groups over finite fields

Wednesday 22nd April 2020 - Netan Dogra

Higher heights and rational points on curves

Wednesday 4th March 2020 - Rosa Winter

Density of rational points on a family of del Pezzo surfaces of degree 1

Wednesday 26th February 2020 - Daniel Loughran

Probabilistic Arithmetic Geometry

Wednesday 19th February 2020 - Oleksiy Klurman

Small discrepancy sequences over Fq[x]

Wednesday 12th February 2020 - Steven Charlton

An explicit quadruple ratio

Wednesday 5th February 2020 - Diego Izquierdo

Homogeneous spaces, algebraic K-theory and cohomological dimension of fields

Wednesday 29th January 2020 - Nuno Freitas

A multi-Frey approach to the Darmon program for Fermat-type equations

Wednesday 22nd January 2020 - Céline Maistret

Arithmetic invariants and parity of ranks of abelian surfaces

Wednesday 18th December 2019 - Chloe Martindale

Non-interactive post quantum key exchange from isogeny graphs of elliptic curves

Wednesday 11th December 2019 - Alice Pozzi

The values of the Dedekind-Rademacher cocycle at RM multiplication points

Wednesday 11th December 2019 - Morten Risager

Arithmetic statistics of modular symbols

Wednesday 4th December 2019 - Joe Gunther

Slicing the stars: counting algebraic numbers

Wednesday 27th November 2019 - Valentina Di Proietto

A non-abelian algebraic criterion for good reduction of curves

Wednesday 20th November 2019 - Philippe Michel

Algebraic Twists of automorphic forms

Wednesday 13th November 2019 - Jaclyn Lang

The Hodge and Tate Conjectures for self-products of K3 surfaces with non-symplectic group actions

Wednesday 30th October 2019 - André Macedo

Explicit methods for the Hasse norm principle and applications

Wednesday 23rd October 2019 - Joni Teräväinen

Chowla's conjecture at almost all scales

Wednesday 16th October 2019 - Ellen Eischen

p-adic L-functions, with a view toward unitary groups

Wednesday 9th October 2019 - Haluk Şengün

A K-theoretic Selberg trace formula

Wednesday 2nd October 2019 - Sander Zwegers

Theta Series for Indefinite Quadratic Forms

Wednesday 12th June 2019 - Katherine Stange

An illustration in number theory: abelian sandpiles and Schmidt arrangements

Wednesday 5th June 2019 - Lejla Smajlovic

Spectral construction of non-holomorphic Eisenstein-type series, their Kronecker limit formula and applications

Wednesday 29th May 2019 - Junehyuk Jung

On the sparsity of positive-definite automorphic forms

Wednesday 22nd May 2019 - Tobias Berger

Paramodularity of abelian surfaces

Wednesday 15th May 2019 - Farrell Brumley

Concentration properties of theta lifts

Wednesday 1st May 2019 - Adam Harper

High moments of random multiplicative functions

Wednesday 3rd April 2019 - Jessica Fintzen

Representations of p-adic groups

Wednesday 27th March 2019 - Damaris Schindler

On prime values of binary quadratic forms with a thin variable

Wednesday 20th March 2019 - Jim Wright

Hensel's classical lemma – a variant

Wednesday 13th March 2019 - Holly Krieger

Uniform Manin-Mumford in genus 2

Wednesday 6th March 2019 - Roger Heath-Brown

Counting Rational Points on Conics

Wednesday 27th February 2019 - Jan Vonk

Singular moduli for real quadratic fields

Wednesday 20th February 2019 - Beth Romano

Arithmetic statistics via graded Lie algebras

Wednesday 13th February 2019 - Nicole Looper

Dynamical uniform boundedness and the abc-conjecture

Wednesday 6th February 2019 - Árpád Tóth

Modular cocycles and linking numbers

Wednesday 30th January 2019 - Zeev Rudnick

On Cilleruelo's conjecture for the least common multiple of polynomial sequences

Wednesday 23rd January 2019 - Paul Beirne

Knots, the colored Jones polynomial and stability

Wednesday 16th January 2019 - Carl Wang-Erickson

The rank of Mazur's Eisenstein ideal

Wednesday 12th December 2018 - Marc Masdeu

p-adic analytic constructions of algebraic points

Wednesday 5th December 2018 - Sarah Peluse

Bounds for sets lacking x, x+y, x+y^2

Wednesday 28th November 2018 - Andreas Strömbergsson

Rogers' mean value formula: some applications and extensions

Wednesday 21st November 2018 - Kathrin Maurischat

Phantom holomorphic projection

Wednesday 14th November 2018 - Winston Heap

Upper bounds for moments of the Riemann zeta function

Wednesday 7th November 2018 - Nils-Peter Skoruppa

The Macdonald identities and Jacobi forms of lattice index

Wednesday 31st October 2018 - Lola Thompson

Bounded gaps between primes and the length spectra of arithmetic hyperbolic 3-orbifolds

Wednesday 24th October 2018 - Kim Klinger-Logan

The Riemann Hypothesis, unbounded operators and a tie to physics

Wednesday 17th October 2018 - David Lowry-Duda

Half-integral weight modular forms are special too

Wednesday 10th October 2018 - Alexander Gamburd

Arithmetic and Dynamics on Markoff-Hurwitz Varieties

Monday 18th June 2018 - Piper Harron

Equidistribution of Shapes of Number Fields of degree 3, 4, and 5

Wednesday 13th June 2018 - Jeffrey Lagarias

Number Theory Problems Related to Toric Integer Orbits

Tuesday 12th June 2018 - Sean Prendiville

Partition regularity and non-linear Diophantine equations

Wednesday 30th May 2018 - Gergely Harcos

The prime geodesic theorem in square mean

Wednesday 23rd May 2018 - Laura Capuano

Unlikely intersections in families of abelian varieties

Wednesday 16th May 2018 - Cameron Franc

Bounded primes for hypergeometric series

Wednesday 9th May 2018 - Masha Vlasenko

Gamma functions, monodromy and Apéry constants

Wednesday 2nd May 2018 - Jack Thorne

Arithmetic statistics for odd genus 2 curves

Wednesday 25th April 2018 - Min Lee

Twist-minimal trace formulas and applications

Wednesday 18th April 2018 - Péter Pal Pach

On some Applications of Graph Theory to Number Theoretic Problems

Wednesday 21st March 2018 - Olivia Beckwith

Class numbers of imaginary quadratic fields

Wednesday 14th March 2018 - Ayla Gafni

Extremal primes of non-CM elliptic curves

Wednesday 7th March 2018 - Wojciech Gajda

Geometric families of Galois representations

Wednesday 7th March 2018 - Catherine Hsu

Higher Eisenstein Congruences

Wednesday 28th February 2018 - Lassina Dembele

Abelian varieties with everywhere good reduction over certain real quadratic fields

Wednesday 21st February 2018 - Haluk Sengun

Arithmetic Manifolds, Hecke operators and Diophantine Equations

Wednesday 14th February 2018 - Bartosz Naskrecki

Hypergeometric motives of low degrees

Wednesday 7th February 2018 - Fredrik Stromberg

Maass forms and spectral theory for noncongruence subgroups

Wednesday 31st January 2018 - James Maynard

Kloosterman sums and Siegel zeros

Wednesday 24th January 2018 - Titus Hilberdink

Matrices with multiplicative entries

Wednesday 17th January 2018 - Chloe Martindale

Isogeny graphs of abelian varieties and applications to the discrete logarithm problem

Wednesday 13th December 2017 - John Cremona

Elliptic Curves of prime power conductor over imaginary quadratic fields with class number one.

Wednesday 6th December 2017 - Valentin Blomer

Wednesday 29th November 2017 - Lejla Smajlovic

Modular Dedekind symbols associated to Fuchsian groups and higher-order Eisenstein series

Wednesday 22nd November 2017 - Tom Oliver

Cancellation of zeros between L-functions

Wednesday 15th November 2017 - Kevin Destagnol

The Manin-Peyre conjectures for an infinite family of projective hypersurfaces in higher dimension.

Wednesday 8th November 2017 - Oliver Roche-Newton

On the size of the set AA+A over the reals

Wednesday 1st November 2017 - Chris Skinner

Some recent results on the arithmetic of elliptic curves and modular forms.

Wednesday 25th October 2017 - Jeff Hoffstein

Digital signatures based on quadratic forms over the ring R=(Z/qZ)[x]/(x^N -1).

Wednesday 18th October 2017 - Andreea Mocanu

Eisenstein Series for Jacobi Forms of Lattice Index

Wednesday 11th October 2017 - Martin Bright

Failure of strong approximation on an affine cone

Wednesday 4th October 2017 - Julie Desjardins

Density of rational points on elliptic surfaces

Wednesday 26th April 2017