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### Past Seminars:

- Katerina Santicola

Reverse engineered hyperelliptic curves

Wednesday 22nd March 2023 - Elvira Lupoian

Computing 3-torsion Points on Jacobians of Genus 3 Hyperelliptic Curves

Wednesday 15th March 2023 - Yifan Jing

A nonabelian Brunn-Minkowski inequality

Wednesday 8th March 2023 - Sam Pattison

Connections between fine-scale statistics and lattices in higher dimensions

Wednesday 1st March 2023 - George Dickinson

Moments of L-functions and the Density Hypothesis

Wednesday 15th February 2023 - Frederick Tyrrell

New lower bounds for cap sets

Wednesday 8th February 2023 - Jenny Roberts

Newform Eisenstein Congruences of Local Origin

Wednesday 1st February 2023 - Oana Padurariu

Wednesday 14th December 2022 - Håvard Damm-Johnsen

Wednesday 7th December 2022 - Judith Ortmann

Wednesday 30th November 2022 - Tim Davis

The Fourier coefficients of Hilbert modular forms

Wednesday 23rd November 2022 - Besfort Shala

Application of sieve methods to gaps between primes

Wednesday 16th November 2022 - Diana Mocanu

The modularity approach over totally real fields

Wednesday 9th November 2022 - Ethan Lee

Investigations into the Mertens function

Wednesday 2nd November 2022 - Maleeha Khawaja

Wednesday 19th October 2022 - Lukas Kofler

Wednesday 12th October 2022 - Francesco Ballini

Roots of Unity on Varieties and the Pila-Zannier Method

Wednesday 5th October 2022 - Jesse Pajwani

Étale fundamental groups, section equivalence and "ét equivalence"

Wednesday 15th June 2022 - Ariel Weiss

Rank growth of elliptic curves over N-th root extensions

Wednesday 1st June 2022 - Simone Muselli

Regular models of hyperelliptic curves

Wednesday 25th May 2022 - Kieran Child

Computation of weight 1 modular forms

Wednesday 4th May 2022 - Jared Duker Lichtman

A proof of the Erdős primitive set conjecture

Wednesday 27th April 2022 - Holly Green

Parity of ranks of elliptic curves

Wednesday 30th March 2022 - Emilia Alvarez

Wednesday 23rd March 2022 - Zonglin Li

Geometry and distribution of roots of $\mu^2 \equiv D \bmod m$ with $D \equiv 1 \bmod 4$

Wednesday 16th March 2022 - Valeriya Kovaleva

Correlations of Riemann Zeta on the critical line

Wednesday 9th March 2022 - Akshat Mudgal

An additive combinatorial approach to Hua's lemma

Wednesday 2nd March 2022 - Kristian Holm

A Central Limit Theorem for Symplectic Lattice Point Counting Functions

Wednesday 23rd February 2022 - Riccardo Pengo

Limits of Mahler measures and (successively) exact polynomials

Wednesday 16th February 2022 - Alec Shute

Polynomials represented by norm forms via the beta sieve

Wednesday 9th February 2022 - Sadiah Zahoor

Congruences between modular forms of integer and half integer weight

Wednesday 2nd February 2022 - Ashvni Narayanan

Formalization of p-adic measure theory and p-adic L-functions in Lean

Wednesday 26th January 2022 - Victor Wang

Conditional approaches to sums of cubes

Tuesday 14th December 2021 - Raymond van Bommel

Abelian varieties of prescribed order over finite fields

Tuesday 7th December 2021 - Julia Stadlmann

Sieve theory and gaps between primes

Wednesday 1st December 2021 - Hanneke Wiersema

The weight part of Serre's modularity conjecture for totally real fields

Wednesday 24th November 2021 - Luigi Pagano

Motivic zeta functions and the monodromy conjecture

Wednesday 17th November 2021 - Michael Farmer Evans

A converse theorem for degree 2 elements of the Selberg class with restricted gamma factor

Wednesday 10th November 2021 - Jean Lagace

Uniform estimates on lattice point counts and toral eigenvalues

Wednesday 3rd November 2021 - Daniele Turchetti

Semi-stable models of curves and Berkovich geometry

Wednesday 27th October 2021 - Ethan Lee

Explicit Residue Estimates in Number Fields

Wednesday 20th October 2021 - Jonathan Chapman

Inhomogeneous ART

Wednesday 13th October 2021 - Peter Bradshaw

Energy bounds for k-fold sums in very convex sets

Wednesday 6th October 2021 - Petru Constantinescu

Distribution of Modular Symbols

Wednesday 23rd June 2021 - Alex Best

The S-unit equation and non-abelian Chabauty in depth 2

Wednesday 16th June 2021 - Enis Kaya

p-adic Integration on Hyperelliptic Curves of Bad Reduction

Wednesday 2nd June 2021 - Martin Cech

A double sum of Jacobi symbols and multiple Dirichlet series

Wednesday 26th May 2021 - Lukas Melninkas

Local root and Tamagawa numbers of hyperelliptic curves

Wednesday 19th May 2021 - Emma Bailey

Generalised moments, large deviations, and numerics of $L$-functions and characteristic polynomials

Wednesday 12th May 2021 - Felicien Comtat

The Kuznetsov formula for GSp_4

Wednesday 5th May 2021 - Simone Muselli

Generalised Baker model of curves

Wednesday 28th April 2021 - Andrei Seymour-Howell

Numerical verification of Maass cusp forms

Wednesday 21st April 2021 - Pip Goodman

Superelliptic curves with large Galois images

Wednesday 24th March 2021 - Kirsti Biggs

Ellipsephic efficient congruencing for the Vinogradov system

Wednesday 17th March 2021 - Nirvana Coppola

Wild 2-adic things on elliptic curves are diabolical

Wednesday 10th March 2021 - Nick Rome

Primes, polynomials and points

Wednesday 3rd March 2021 - Kieran Child

Twist-minimal trace formula for holomorphic cusp forms

Wednesday 24th February 2021 - Baptiste Peaucelle

Modular form congruences and the reducibility of residual modular representations

Wednesday 17th February 2021 - Raphael Steiner

Fourth moments and sup-norms with the aid of theta functions

Wednesday 10th February 2021 - Olivia Beckwith

Zero density estimates and fractional imaginary parts of zeros of GL(2) L-functions

Tuesday 2nd February 2021 - Seoyoung Kim

From the Birch and Swinnerton-Dyer conjecture to Nagao's conjecture

Tuesday 26th January 2021 - Ciaran Schembri

Torsion points on abelian surfaces with potential quaternionic multiplication

Tuesday 19th January 2021 - Annamaria Iezzi

Bruhat–Tits trees as a tool for exploring supersingular isogeny graphs

Tuesday 15th December 2020 - Jackson Morrow

Sporadic Cubic Torsion

Tuesday 8th December 2020 - Shuntaro Yamagishi

Solving polynomial equations in many variables in primes

Tuesday 1st December 2020 - Angel Villaneuva

Galois representations of superelliptic curves over a local field

Tuesday 24th November 2020 - Akshat Mudgal

Diameter free estimates for Vinogradov systems

Wednesday 18th November 2020 - Antonela Trbović

Splitting of primes in number fields generated by points on some modular curves

Wednesday 11th November 2020 - Wrenna Robson

Formal Verification of Isogeny-Based Cryptography

Wednesday 4th November 2020 - Sebastiano Tronto

Kummer theory for algebraic groups

Wednesday 28th October 2020 - Rabia Gülşah Uysal

The Hasse norm principle in global function fields

Wednesday 21st October 2020 - Stevan Gajović

The density of binary forms with coefficients in Zp that have roots over Qp

Wednesday 14th October 2020 - Edu Soto

Remarks on the Asymptotic Fermat Conjecture

Wednesday 7th October 2020 - Ross Paterson

Statistics for Selmer Groups as Galois Modules

Wednesday 17th June 2020 - Sabrina Kunzweiler

Models of Superelliptic Curves and Integral Differentials

Thursday 11th June 2020 - Jana Sotáková

Isogenies of elliptic curves over finite fields and genus theory

Wednesday 3rd June 2020 - Séverin Philip

Semi-stable reduction of abelian varieties

Wednesday 27th May 2020 - Demi Allen

Dyadic approximation in the middle-third Cantor set

Wednesday 20th May 2020 - Jolanta Marzec

Construction of Poincaré-type series by generating kernels

Wednesday 13th May 2020 - Josha Box

Modularity of elliptic curves over certain totally real quartic fields

Wednesday 6th May 2020 - Matteo Verzobio

Primitive divisors in elliptic divisibility sequences

Wednesday 29th April 2020 - Jolanta Marzec

[CANCELLED] Construction of Poincaré-type series by generating kernels

Wednesday 18th March 2020 - Ayesha Hussain

Distributions of Character Sums

Wednesday 11th March 2020 - Ruoyi Wang

When shifted primes do not occur in difference sets

Friday 6th March 2020 - Samantha Fairchild

A geometric Euler totient function associated to non-uniform lattices in SL(2,R)

Thursday 5th March 2020 - Chloe Martindale

Solving norm equations to attack isogeny-based cryptosystems

Wednesday 26th February 2020 - Fabio Ferri

REALIZABLE CLASSES AND WEAK NORMAL INTEGRAL BASES

Wednesday 19th February 2020 - Nirvana Coppola

Reduction type of genus 3 curves in special strata of their moduli space

Wednesday 12th February 2020 - Erwan Hillion

Probabilistic Nyman-Beurling criteria

Wednesday 5th February 2020 - Jimmy Tseng

On Bessel functions and Eisenstein series

Wednesday 29th January 2020 - 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