Tom Oliver
Murmurations of elliptic curves
Wednesday 15th June 2022
Yukako Kezuka
Arithmetic of elliptic curves at the small primes
Wednesday 8th June 2022
Vasudevan Srinivas
On finite presentation for the tame fundamental group
Wednesday 8th June 2022
Richard Griffon
Isogenies of elliptic curves over function fields
Wednesday 1st June 2022
Lola Thompson
Summing mu(n): an even faster elementary algorithm
Wednesday 25th May 2022
Vandita Patel
Values of the Ramanujan tau-function
Wednesday 18th May 2022
Kevin Hughes
Square function estimates for planar curves over local fields
Wednesday 11th May 2022
Bartosz Naskręcki
Higher moments of elliptic curves
Wednesday 4th May 2022
Henri Johnston
Computation of lattice isomorphisms and the integral matrix similarity problem
Wednesday 27th April 2022
Cecília Salgado
Large Mordell-Weil rank jumps and the Hilbert Property
Wednesday 30th March 2022
Jens Funke
Theta series and (singular) theta lifts
Wednesday 23rd March 2022
Vlad Mitankin
Semi-integral points and quadrics
Wednesday 16th March 2022
Ross Paterson
Average Ranks of Elliptic Curves After p-Extension
Wednesday 9th March 2022
Dan Fretwell
Definite orthogonal modular forms: Computations, Excursions and Discoveries
Wednesday 2nd March 2022
Gene Kopp
Wannabe modularity, the Shintani-Faddeev cocycle, and Stark units
Wednesday 23rd February 2022
Daniel Fiorilli
Omega results for cubic field counts via the Katz-Sarnak philosophy
Wednesday 16th February 2022
Masahiro Nakahara
Uniform potential density for rational points on algebraic groups and elliptic K3 surfaces
Wednesday 2nd February 2022
Junxian Li
Hardy-Littlewood problems with almost primes
Wednesday 26th January 2022
Alina Ostafe
Multiplicative and additive relations for values of rational functions and points on elliptic curves
Wednesday 8th December 2021
Jolanta Marzec
Some evidence towards Resnikoff-Saldana conjecture
Wednesday 1st December 2021
Alexandre de Faveri
Simple zeros of GL(2) L-functions
Wednesday 24th November 2021
Gonzalo Tornaria
Quinary forms and paramodular forms
Wednesday 17th November 2021
Assif Zaman
An approximate form of Artin's holomorphy conjecture and nonvanishing of Artin L-functions
Wednesday 10th November 2021
Luis Garcia
Eisenstein cocycles and values of L-functions
Wednesday 3rd November 2021
Samantha Fairchild
Analogs of the primitive Gauss circle problem
Wednesday 27th October 2021
Youness Lamzouri
Zeros of linear combinations of L-functions near the critical line
Wednesday 20th October 2021
Andrei Yafaev
Lower bounds for Galois orbits of special points and the Andre-Oort conjecture
Wednesday 13th October 2021
Harry Smit
Characterizing number fields using L-series
Wednesday 6th October 2021
Sam Streeter
Weak approximation for del Pezzo surfaces of low degree
Wednesday 29th September 2021
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
