Organisers: Holly Green, Besfort Shala
- Julie Tavernier
Abelian number fields with restricted ramification type and rational points on stacks
Wednesday 12th February 2025, 11:00 am – 12:00 pm
Fry Building, 2.04 - Kenji Terao
Modular curves and isolated points
Wednesday 19th February 2025, 11:00 am – 12:00 pm
Fry Building, 2.04 - Júlia Martinez Marin
Wednesday 26th February 2025, 11:00 am – 12:00 pm
Fry Building, 2.04 - Sophie Maclean
Wednesday 5th March 2025, 11:00 am – 12:00 pm
Fry Building, 2.04 - Fred Tyrrell
Wednesday 12th March 2025, 11:00 am – 12:00 pm
Fry Building, 2.04 - Cédric Pilatte
Wednesday 19th March 2025, 11:00 am – 12:00 pm
Fry Building, 2.04 - Kate Thomas
Wednesday 26th March 2025, 11:00 am – 12:00 pm
Fry Building, 2.04 - Harmeet Singh
Wednesday 2nd April 2025, 11:00 am – 12:00 pm
Fry Building, 2.04
Past Seminars:
- Philip Holdridge
Partition Regularity and Piatetski-Shapiro
Wednesday 5th February 2025 - Jakab Schrettner
Reduction types of curves in p-adic families
Wednesday 29th January 2025 - Vicente Saavedra Araya
Uniform distribution of integers with digit restrictions
Wednesday 15th January 2025 - Oleksiy Klurman
Around Artin's primitive root conjecture
Wednesday 4th December 2024 - James Rawson
Points on Curves with Small Galois Groups
Wednesday 27th November 2024 - Madhuparna Das
On a Central Limit Theorem for Partition Functions Involving Ramanujan Sums
Wednesday 20th November 2024 - Gergely Jakovac
MacLane valuations and models of curves
Wednesday 13th November 2024 - Santiago Vázquez Sáez
The Duffin-Schaeffer Conjecture
Wednesday 6th November 2024 - Corijn Rudrum
Non-abelian Selmer group Chabauty for the S-unit equation
Wednesday 30th October 2024 - Chris Best
Moments of derivatives of characteristic polynomials and L-functions
Wednesday 23rd October 2024 - Christopher Atherfold
Sums of random multiplicative functions
Wednesday 16th October 2024 - Benjamin Bedert
Zeros of polynomials with restricted coefficients and a problem of Littlewood
Wednesday 9th October 2024 - Harry Shaw
Diagonal del Pezzo surfaces of degree 2 with a Brauer-Manin obstruction
Wednesday 2nd October 2024 - Arshay Sheth
Euler products inside the critical strip
Wednesday 25th September 2024 - Ashleigh Wilcox
A systematic approach to solving Diophantine equations
Wednesday 18th September 2024 - Lilybelle Cowland Kellock
A generalisation of Tate’s algorithm for hyperelliptic curves
Wednesday 5th June 2024 - Seth Hardy
Exponential sums with random multiplicative coefficients
Wednesday 29th May 2024 - Yichen You
On Correlations of Liouville-like functions
Wednesday 22nd May 2024 - Alexandru Pascadi
The dispersion method and beyond: from primes to exceptional Maass forms
Wednesday 15th May 2024 - Maryam Nowroozi
Perfect powers in elliptic divisibility sequences
Wednesday 8th May 2024 - Himanshu Shukla
Computation of the Cassels-Tate pairing for hyperelliptic Jacobians
Wednesday 1st May 2024 - David Kurniadi Angdinata
L-values of elliptic curves and their twists by cubic characters
Wednesday 24th April 2024 - Eda Kırımlı
Isogeny graphs of abelian surfaces
Wednesday 20th March 2024 - Sven Cats
Wednesday 13th March 2024 - Isabel Rendell
Quadratic Chabauty for Modular Curves
Wednesday 6th March 2024 - Pedro-Jose Cazorla Garcia
Asymptotic Fermat's Last Theorem for a family of equations of signature (n, 2n, 2)
Wednesday 28th February 2024 - Mohamed Alaa Tawfik
Brauer-Manin obstructions for Kummer surfaces
Wednesday 21st February 2024 - Jakob Glas
Wednesday 14th February 2024 - Cameron Wilson
Wednesday 7th February 2024 - Steven Robertson
Combinatorics on Number Walls and the p(t)-adic Littlewood Conjecture
Wednesday 31st January 2024 - Michael Yiasemides
Lattice Points in Function Fields, and Hankel Matrices
Wednesday 13th December 2023 - Marios Voskou
Hyperbolic Counting Problems
Wednesday 22nd November 2023 - Jackie Voros
The average least negative Hecke eigenvalue
Wednesday 15th November 2023 - Maria Corte-Real Santos
An effective Deuring correspondence over extension fields and its application to isogeny-based cryptography
Wednesday 8th November 2023 - Andrei Seymour-Howell
Unconditional computation of the class groups of real quadratic fields
Wednesday 1st November 2023 - Anja Meyer
On the mod p cohomology of certain matrix groups
Wednesday 25th October 2023 - Siqi Yang
mod p Hilbert modular forms
Wednesday 18th October 2023 - Nuno Arala-Santos
Counting rational points on singular intersections of quadrics
Wednesday 11th October 2023 - Alvaro Gonzalez Hernandez
Explicit theory of Kummer surfaces in characteristic two
Wednesday 4th October 2023 - Jake Chinis
On the Liouville function in short intervals
Wednesday 27th September 2023 - John Blackman
Restrictions on the base-p expansions of putative counterexamples to the p-adic Littlewood Conjecture
Wednesday 7th June 2023 - Harkaran Uppal
Integral points on diagonal affine cubic surfaces
Wednesday 31st May 2023 - Alex Walker
Cuspform Analogues for Classical Point-Counting Problems
Wednesday 24th May 2023 - Gandhar Joshi
Challenges of creating custom numeration systems and automatic sequences
Wednesday 10th May 2023 - Valeriia Starichkova
Chen's theorem under the Generalised Riemann Hypothesis
Wednesday 3rd May 2023 - Jay Swar
On Rational Points of Varieties and Symplectic Geometry
Wednesday 26th April 2023 - Sebastian Monnet
S4-quartics with prescribed norms
Wednesday 19th April 2023 - 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