Linfoot Number Theory Seminars

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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
    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