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### Past Seminars:

- Simone Muselli

Models and Integral Differentials of Hyperelliptic Curves

Wednesday 22nd January 2020 - Mattia Sanna

A 3-adic Faltings-Serre Method

Wednesday 15th January 2020 - Eren Mehmet Kıral

Reduced word decompositions and Kloosterman sums

Wednesday 4th December 2019 - Matthew Welsh

A parametrization of roots of polynomial congruences and applications

Wednesday 27th November 2019 - Sam Streeter

Hilbert property for double conic bundles and del Pezzo surfaces

Wednesday 20th November 2019 - Valeriya Kovaleva

Isotropy of quadratic forms through random matrices

Wednesday 13th November 2019 - Emma Bailey

Unitary, Symplectic, and Orthogonal Moments of Moments

Wednesday 30th October 2019 - Matthew Bisatt

Tame torsion of Jacobians and the inverse Galois problem

Wednesday 23rd October 2019 - Gene Kopp

Complex equiangular lines and the Stark conjectures

Wednesday 16th October 2019 - Sophie Stevens

A survey on the sum-product problem

Wednesday 9th October 2019 - Marc Hindry

Analogues of Brauer-Siegel theorem in arithmetic geometry

Wednesday 2nd October 2019 - Marc Munsch

The Duffin-Schaeffer conjecture with extra divergence

Wednesday 12th June 2019 - Faustin Adiceam

On the epsilon-density of a vector in the unit torus

Wednesday 5th June 2019 - Trevor Wooley

A certain octonary cubic form

Wednesday 29th May 2019 - Edgar Assing

Yet another subconvexity talk

Wednesday 22nd May 2019 - Hannah Burson

A study of weighted odd Ferrers diagrams

Wednesday 15th May 2019 - Mathilde Gerbelli-Gauthier

Wednesday 8th May 2019 - Steffen Lobrich

On cycle integrals of meromorphic modular forms

Wednesday 1st May 2019 - Alessandro Pezzoni

A problem of Hausdorff measure and approximation by polynomials

Wednesday 3rd April 2019 - Christopher Doris

Computing the Galois group of a p-adic polynomial

Wednesday 27th March 2019 - Alessandro Arlandini

Factorization of the p-adic Rankin-Selberg L-function in the supersingular case

Wednesday 20th March 2019 - Demi Allen

A general mass transference principle

Wednesday 13th March 2019 - Pip Goodman

Restrictions on endomorphism rings of hyperelliptic jacobians

Wednesday 6th March 2019 - E. Mehmet Kıral

Reciprocity in Moments of L-functions.

Wednesday 27th February 2019 - Julian Lawrence Demeio

Varieties with the Hilbert property

Wednesday 20th February 2019 - Akshat Mudgal

Sums of Linear Transformations in higher dimensions

Wednesday 13th February 2019 - Michael Mertens

Finite groups and arithmetic

Wednesday 6th February 2019 - Xavier Gonzalez

Moonshine for all finite groups

Wednesday 30th January 2019 - Chris Lutsko

Equidistribution of generalized Farey sequences

Wednesday 19th December 2018 - Anne-Maria Ernvall-Hytönen

On the transcendence measure of e (joint work with Tapani Matala-aho and Louna Seppälä)

Wednesday 12th December 2018 - Sam Porritt

Chebyshev-type biases in function fields

Wednesday 5th December 2018 - Nick Rome

The Loughran-Smeets Conjectures and Conic Bundles

Wednesday 28th November 2018 - Scott Kirila

Discrete moments of Dirichlet L-functions

Wednesday 21st November 2018 - Sam Chow

Bohr sets and multiplicative diophantine approximation

Wednesday 14th November 2018 - Linda Frey

Elliptic curves, small heights and an outlook to genus two

Wednesday 7th November 2018 - Nirvana Coppola

Galois action on elliptic curves

Wednesday 31st October 2018 - Toshiki Matsusaka

CM values, cycle integrals, and polyharmonic Maass forms

Wednesday 24th October 2018 - David Platt

The error term in the Prime Number Theorem

Wednesday 17th October 2018 - Dan Fretwell

Paramodular Eisenstein congruences of local origin

Wednesday 10th October 2018 - Daniel El-Baz

Effective equidistribution of rational points on certain expanding horospheres

Wednesday 3rd October 2018 - Joerg Bruedern

Tuesday 19th June 2018 - Régis de la Bretèche

G\’al’s sums and applications

Wednesday 13th June 2018 - Francesca Bianchi

Computation of p-adic heights in families of elliptic curves

Wednesday 30th May 2018 - Marius Leonhardt

The main theorem(s) of complex multiplication and beyond

Wednesday 23rd May 2018 - Kirsti Biggs

Efficient congruencing in ellipsephic sets

Wednesday 16th May 2018 - Adelina Manzateanu

Invariants of hyperelliptic genus 3 curves

Wednesday 9th May 2018 - Anna Somoza Henares

Reconstruction of cyclic plane quintic curves

Wednesday 2nd May 2018 - Rachel Newton

Arithmetic of rational points and zero-cycles on Kummer varieties

Wednesday 25th April 2018 - Andrew Knightly

Relative trace formulas on GL(2)

Wednesday 18th April 2018 - George Turcas

On Fermat's equation over quadratic imaginary number fields

Wednesday 21st March 2018 - Jos Gunns

The Selberg L-functions under repeated differentiation.

Wednesday 14th March 2018 - Alisa Sedunova

Bounds for the integral points on elliptic curves over function fields

Wednesday 7th March 2018 - Stanley Yao Xiao

D_4-quartic fields with monogenic cubic resolvent

Wednesday 28th February 2018 - Matthew Bisatt

Root numbers of abelian varieties

Wednesday 21st February 2018 - Brendan Murphy

Navigating Cayley Graphs

Wednesday 14th February 2018 - David Lowry-Duda

Recent progress on the generalized Gauss Circle Problem, and related topics

Wednesday 7th February 2018 - Lucia Mocz

A New Northcott Property for Faltings Height

Wednesday 31st January 2018 - Matt Palmer

Progress towards the Duffin-Schaeffer conjecture in number fields

Wednesday 24th January 2018 - Ian Petrow

Bounds for traces of Hecke operators and points on curves over finite fields

Wednesday 13th December 2017 - Will Sawin

Equidistribution of L-functions over function fields

Wednesday 6th December 2017 - Alexander Betts

Iterated integrals, Green's functions, and fundamental groups

Wednesday 29th November 2017 - Victoria Farfan Cantora

Torsion for abelian varieties of type III and new cases of the Mumford-Tate conjecture

Wednesday 22nd November 2017 - Thomas Ducat

The decomposition groups of plane conic and rational cubic curves

Wednesday 15th November 2017 - Pedro Lemos

Serre's uniformity conjecture for elliptic curves with a rational cyclic isogeny

Wednesday 8th November 2017 - Pierre Bienvenu

Quadratic uniformity of the Moebius function in function fields

Wednesday 1st November 2017 - Vinay Viswanathan

Counting points on quadrics with arithmetic weights

Wednesday 25th October 2017 - Simon Myerson

Forms in many variables: an iterative approach

Wednesday 18th October 2017 - Chris Birkbeck

Slopes of modular forms

Wednesday 11th October 2017 - Gene Kopp

Indefinite Theta Functions and Zeta Functions

Wednesday 4th October 2017 - Davide Lombardo

Reductions of points of infinite order on algebraic groups

Wednesday 27th September 2017 - David Spencer

Local origin congruences of modular forms

Wednesday 31st May 2017