Linfoot Number Theory Seminars

Organisers: Andrew Booker, Holly Green, Besfort Shala

• Arshay Sheth
  Euler products inside the critical strip
  Wednesday 25th September 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  
• Harry Shaw
  Wednesday 2nd October 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  
• Benjamin Bedert
  Wednesday 9th October 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  
• Christopher Atherfold
  Wednesday 16th October 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  
• Chris Best
  Wednesday 23rd October 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  
• Corijn Rudrum
  Wednesday 30th October 2024, 11:00 am – 12:00 pm
  Fry Building, 4th Floor Seminar Room
  
  
• Santiago Vázquez Sáez
  Wednesday 6th November 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  
• Gergely Jakovac
  Wednesday 13th November 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  
• Madhuparna Das
  Wednesday 20th November 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  
• James Rawson
  Wednesday 27th November 2024, 11:00 am – 12:00 pm
  Fry Building, 2.04
  
  

Related Seminars:

• Brian Conrey
  Friday 25th October 2024, 2:00 pm – 3:00 pm
  Fry Building,
  
  
• Christopher Hughes
  Friday 15th November 2024, 2:00 pm – 3:00 pm
  Fry Building, 2.04
  
  

• 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