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### Past Seminars:

- Marius Tiba

Sharp stability for the Brunn-Minkowski inequality for arbitrary sets

Tuesday 21st May 2024 - Victor Souza

On the number of monochromatic solutions to multiplicative equations

Tuesday 14th May 2024 - Konrad Swanepoel

Matchstick graphs in the plane and on the sphere

Tuesday 7th May 2024 - Martin Winter

Kalai's 3^d conjecture for coordinate-symmetric polytopes

Tuesday 30th April 2024 - Alison La Porta

The infinitesimal rigidity of symmetric bar-joint frameworks

Tuesday 23rd April 2024 - Matthew Jenssen

A new lower bound for sphere packing

Tuesday 16th April 2024 - Matt Tointon

Spread-out percolation on transitive graphs of polynomial growth

Tuesday 26th March 2024 - Sam Mansfield

Sums, Products, Convexity, Squeezing, Expansion, Generalizations.

Tuesday 19th March 2024 - Joanna Lada

Long running times for hypergraph bootstrap percolation

Tuesday 12th March 2024 - Tom Johnston

Game connectivity and adaptive dynamics

Tuesday 5th March 2024 - Tony Nixon

On the d-dimensional rigidity problem

Tuesday 27th February 2024 - Maria-Romina Ivan

Recent developments in poset saturation - general bounds, and the diamond

Tuesday 20th February 2024 - Hou Tin Chau

Maximum degree of induced subgraphs of the Kneser graph

Tuesday 13th February 2024 - Joshua Erde

Percolation in high-dimensional graphs

Tuesday 6th February 2024 - Natalie Behague

Counting copies with containers

Tuesday 30th January 2024 - Csongor Beke

On the generalised Turán problem for odd cycles

Wednesday 6th December 2023 - John Mackay

Group actions on L^1 spaces

Tuesday 5th December 2023 - Nora Frankl

Helly numbers of exponential lattices

Tuesday 28th November 2023 - Marcelo Campos

An exponential improvement for diagonal Ramsey

Tuesday 21st November 2023 - Stelios Stylianou

A two-player voting game in Euclidean space

Tuesday 14th November 2023 - Leo Versteegen

Linear graph codes

Tuesday 7th November 2023 - Cédric Pilatte

A combinatorics problem of Erdős solved with function field number theory

Tuesday 31st October 2023 - Barnabas Janzer

Rotations inside convex Kakeya sets

Tuesday 24th October 2023 - Jesse Campion Loth

Enumerating graph embeddings

Friday 20th October 2023 - Peter van Hintum

Sharp stability for the Brunn-Minkowski inequality for arbitrary sets

Tuesday 17th October 2023 - Laurentiu Ioan Ploscaru

A bipartite version of the Erdős–McKay conjecture

Tuesday 10th October 2023 - Antonio Girao

On induced C_4-free graphs with high average degree

Tuesday 3rd October 2023 - Borys Kuca

Recent developments in the polynomial Szemeredi theorem

Tuesday 4th July 2023 - Mate Matolcsi

A solution to a conjecture of Erdos on planar sets avoiding unit distances

Wednesday 28th June 2023 - Ehud Friedgut

The most complicated proof ever of Mantel’s theorem, and other applications of representation theory of the symmetric group

Tuesday 6th June 2023 - Thomas Karam

The structure of the set of minimal-length slice rank decompositions of a tensor over a finite field.

Tuesday 30th May 2023 - Yifan Jing

Measure doubling for small sets in SO(3,R)

Tuesday 23rd May 2023 - Tom Bloom

Tuesday 16th May 2023 - Joel Moreira

Infinite sumsets in sets of positive density

Tuesday 9th May 2023 - Sean Dewar

A beginners guide to combinatorial rigidity and flexibility in the plane

Tuesday 2nd May 2023 - Robert Johnson

Partial shuffles by lazy swaps

Tuesday 21st March 2023 - Daniel Altman

On an arithmetic Sidorenko conjecture, and a question of Alon

Tuesday 14th March 2023 - Pierre-Yves Bienvenu

Metric decomposability theorems on sets of integers

Tuesday 7th March 2023 - Ilya Shkredov

On Korobov's bound concerning Zaremba's conjecture.

Thursday 2nd March 2023 - Misha Rudnev

Wednesday 22nd February 2023 - Michael Savery

Invertibility of digraphs and tournaments

Wednesday 15th February 2023 - Matthew Jenssen

The singularity probability of a random symmetric matrix

Tuesday 7th February 2023 - Hamed Mousavi

On a conjecture of Graham concerning the p-divisibility of central binomial coefficients

Tuesday 24th January 2023 - Shoham Letzter

Ascending subgraph decomposition

Tuesday 6th December 2022 - John Haslegrave

Ramsey numbers of cycles versus general graphs

Tuesday 29th November 2022 - Gal Kronenberg

Tuesday 22nd November 2022 - Katherine Staden

Ringel's conjecture on tree-packing

Tuesday 15th November 2022 - Belinda Wickes

Separating Path Systems for the Complete Graph

Tuesday 8th November 2022 - Siani Smith

Acyclic, Star and Injective Colouring: Complexity for H-free Graphs

Wednesday 2nd November 2022 - Alexander Holroyd

Finitely Dependent Colouring

Tuesday 1st November 2022 - Freddie Illingworth

Defective colouring of hypergraphs

Tuesday 25th October 2022 - Richard Montgomery

On the Ryser-Brualdi-Stein conjecture

Wednesday 19th October 2022 - Manjil Saikia

Alternating Sign Matrices and Plane Partitions

Tuesday 11th October 2022 - Maria Romina-Ivan

Constructible graphs and the game of cops and robbers

Tuesday 4th October 2022 - Sam Mansfield

A structural theorem for sets with few triangles

Tuesday 27th September 2022 - Shai Evra

Locally testable codes with constant rate, constant distance, and constant locality.

Tuesday 20th September 2022 - Panagiotis Spanos

Spread out percolation in 2-step nilpotent groups

Tuesday 26th April 2022 - Peter Bradshaw

Convex Functions and Additive Structure

Tuesday 29th March 2022 - Jakub Konieczny

Finitely-valued generalised polynomials

Tuesday 22nd March 2022 - Akshat Mudgal

Finding large additive and multiplicative Sidon sets in sets of integers.

Tuesday 15th March 2022 - Eoin Long

Distinct degrees and homogenous sets

Tuesday 8th March 2022 - Jonathan Passant

Configurations and Erdős style distance problems

Tuesday 1st March 2022 - Freddie Manners

Iterated Cauchy-Schwarz arguments and true complexity

Tuesday 22nd February 2022 - Shachar Lovett

The monomial structure of boolean functions

Tuesday 15th February 2022 - Sean Eberhard

Tuesday 8th February 2022 - Sam Chow

Bohr sets in diophantine approximation

Tuesday 1st February 2022 - Imre Leader

Euclidean Ramsey Theory

Wednesday 15th December 2021 - Aled Walker

Extremal problems for GCDs

Wednesday 1st December 2021 - Bodan Arsovski

The p-adic Kakeya conjecture

Tuesday 23rd November 2021 - Vadim Zverovich

Prevalence of Braess' Paradox?

Tuesday 16th November 2021 - Scott Harper

Symmetry breaking: base size and distinguishing number of graphs and groups

Tuesday 9th November 2021 - Natalie Behague

Subgraph Games in the Semi-random Graph Process

Tuesday 2nd November 2021 - Asaf Ferber

Odd subgraphs are odd

Tuesday 26th October 2021 - Tom Johnston

Reconstructing trees from small cards

Tuesday 26th October 2021 - Michael Simkin

The number of n-queens configurations

Tuesday 19th October 2021 - Janos Nagy

The Alon-Jaeger-Tarsi conjecture via group ring identities

Tuesday 12th October 2021 - Jonathan Chapman

Partition and density regularity for diagonal systems of equations

Tuesday 5th October 2021 - Sophie Stevens

Sums, Products, Additive Combinatorics, Etc.

Tuesday 11th May 2021 - Natalie Behague

Synchronizing Times for k-sets in Automata

Tuesday 20th April 2021 - Benny Sudakov

Three problems on 3-chromatic intersecting hypergraphs

Tuesday 30th March 2021 - Bill Jackson

Maximal Matroids in Weak Order Posets

Tuesday 23rd March 2021 - Ander Holroyd

Monday 22nd March 2021 - Ehud Friedgut

A quest for Hyper Regular Graphs

Tuesday 16th March 2021 - Chun-Hung Liu

Asymptotic dimension of minor-closed families, and beyond.

Wednesday 24th February 2021 - Ben Barber

Sums of roots of unity

Tuesday 16th February 2021 - Peter Bradshaw

An Incidence Result for Well-Spaced Atoms.

Tuesday 9th February 2021 - Shai Evra

High dimensional expanders

Tuesday 2nd February 2021 - Péter Pál Pach

Avoiding arithmetic progressions or right angles

Tuesday 26th January 2021 - Yuansi Chen

Recent progress on the KLS conjecture and Eldan’s stochastic localization scheme

Tuesday 19th January 2021 - Akshat Mudgal

Difference sets in higher dimensions

Tuesday 15th December 2020 - Candida Bowtell

Matchings in k-partite k-graphs

Tuesday 8th December 2020 - Asaf Ferber

Lower bounds for multicoloured Ramsey numbers

Tuesday 1st December 2020 - Istvan Tomon

The extremal number of surfaces

Tuesday 1st December 2020 - George Shakan

An analytic approach to Sumsets

Tuesday 24th November 2020 - William Raynaud

Families of sets that are pairwise close

Tuesday 17th November 2020 - Noam Lifshitz

Analysis of global sets

Tuesday 10th November 2020 - Hassan Izanloo

The volume and the Ehrhart polynomial of the alternating sign matrix polytope

Tuesday 3rd November 2020 - David Hume

Coarse graph theory and applications to infinite groups

Tuesday 27th October 2020 - Alexey Pokrovskiy

Rota's Basis Conjecture holds asymptotically

Tuesday 20th October 2020 - Angelica Pachon

On preferential attachment models and continuous time Markov processes

Tuesday 13th October 2020 - Olof Sisask

Breaking the logarithmic barrier in Roth's theorem

Tuesday 6th October 2020 - Matthew Tointon

Phase transition for percolation on finite vertex-transitive graphs

Tuesday 29th September 2020 - Hassan Izanloo

[Postponed until further notice due to COVID-19 outbreak.] The volume and the Ehrhart polynomial of the alternating sign matrix polytope

Tuesday 5th May 2020 - Angelica Pachon

[Postponed until further notice due to COVID-19 outbreak.]

Tuesday 28th April 2020 - James Aaronson

CANCELLED

Tuesday 21st April 2020 - George Shakan

[POSTPONED UNTIL FURTHER NOTICE] (An analytic approach to Sumsets)

Tuesday 24th March 2020 - Candida Bowtell

[POSTPONED UNTIL FURTHER NOTICE] (Matchings in $k$-partite $k$-graphs)

Tuesday 17th March 2020 - Ehud Friedgut

Five and a half proofs of one theorem

Tuesday 10th March 2020 - Julian Sahasrabudhe

On Combinatorial discrepancy and an old problem of J.E. Littlewood

Tuesday 3rd March 2020 - Imre Leader

Decomposing the Complete r-Graph

Friday 28th February 2020 - Audie Warren

Affine group energy

Tuesday 25th February 2020 - Carla Groenland

Reconstruction from a partial deck of cards

Tuesday 18th February 2020 - Sarah Peluse

Bounds in the polynomial Szemer\'edi theorem

Tuesday 11th February 2020 - Eoin Long

Distinct degrees in induced subgraphs

Tuesday 4th February 2020 - Steven Noble

Counting delta-matroids

Tuesday 28th January 2020 - Laura Eslava

Branching processes with merges and locality of hypercube’s critical percolation

Tuesday 21st January 2020 - Nick Gill

Some interesting statistics concerning finite primitive permutation groups

Tuesday 17th December 2019 - Ben Barber

Stable isoperimetry in lattice-like graphs

Tuesday 10th December 2019 - Nóra Frankl

On the number of discrete chains in the plane

Tuesday 3rd December 2019 - David Ellis

Families of permutations with a forbidden intersection

Tuesday 26th November 2019 - Alex Fink

Tutte characters for combinatorial coalgebras

Tuesday 19th November 2019 - Iain Moffatt

From graph duals to matrix pivots: a tour through delta-matorids

Tuesday 12th November 2019 - Nick Brettell

On excluded-minor characterisations of representable matroids

Tuesday 5th November 2019 - Ben Smith

Staircases and tropical polyhedra

Tuesday 29th October 2019 - Thomas Johnston

Lipschitz bijections between boolean functions

Tuesday 22nd October 2019 - Borys Kuca

Polynomial Szemeredi theorem

Tuesday 15th October 2019 - Maura Paterson

Authentication codes and related structures

Tuesday 8th October 2019 - Maryam Sharifzadeh

Asymptotic Structure for the Clique Density Theorem

Tuesday 1st October 2019 - Anthony Nixon

Global rigidity of linearly constrained frameworks

Tuesday 24th September 2019 - Thomas Bloom

Tuesday 18th June 2019 - Thomas Bloom

Thursday 13th June 2019 - Robert Fraser

Large Sets Avoiding Polynomial Configurations

Tuesday 30th April 2019 - Alberto Espuny Díaz

Resilient degree sequences with respect to Hamiltonicity in random graphs

Tuesday 2nd April 2019 - Rachel Kirsch

Many cliques with no large stars

Tuesday 26th March 2019 - Matthew Coulson

Rainbow Hamilton Cycles in Dirac Graphs

Tuesday 19th March 2019 - Akos Magyar

Geometric Ramsey theory on the integer lattice

Tuesday 12th March 2019 - William Raynaud

Smallest cyclically covering subspaces of F_q^n

Tuesday 5th March 2019 - Natalie Behague

Semi-perfect 1-Factorizations of the Hypercube

Tuesday 26th February 2019 - Mykhaylo Tyomkyn

The Brown-Erdős-Sós conjecture in groups

Tuesday 19th February 2019 - Johannes Carmesin

Embedding simply connected 2-complexes in 3-space

Tuesday 5th February 2019 - Yani Pehova

Decomposing graphs into edges and triangles

Tuesday 29th January 2019 - Katherine Staden

The bandwidth theorem for locally dense graphs

Tuesday 18th December 2018 - Matthew Aldridge

Group testing in the linear regime

Tuesday 11th December 2018 - David Conlon

Tuesday 27th November 2018 - Aled Walker

Kneser's theorem and primes in arithmetic progressions, or 'A little combinatorics goes a long way'

Tuesday 20th November 2018 - Viktor Zamaraev

On forbidden induced subgraphs for unit disk graphs

Tuesday 6th November 2018 - Kevin Grace

Templates for Representable Matroids

Tuesday 9th October 2018 - Christian Konrad

Streaming Algorithms for Matchings

Tuesday 2nd October 2018 - Joshua Erde

Bounding the cop number of a graph by its genus

Tuesday 18th September 2018 - George Shakan

On new sum-product inequalities for small sets

Tuesday 4th September 2018 - Taísa Martins

Step Sidorenko property and non-norming edge-transitive graphs

Tuesday 29th May 2018 - Andrey Kupavskii

The Erdos Matching Conjecture and related questions.

Tuesday 1st May 2018 - Konrad Swanepoel

Ordinary hyperplanes and space curves

Tuesday 17th April 2018 - Gabriel Conant

VC-dimension, pseudofinite groups, and arithmetic regularity

Friday 13th April 2018 - Andrew Treglown

Some results on sums in the integers

Tuesday 27th March 2018 - Michelle Delcourt

On the List Coloring Version of Reed's Conjecture

Friday 9th March 2018 - Ilya Shkredov

Tuesday 6th March 2018 - Jonathan Noel

Reconfiguring Graph Colourings and Homomorphisms

Tuesday 6th February 2018 - Ben Barber

Isoperimetry in integer lattices

Tuesday 30th January 2018 - Misha Rudnev

Tuesday 12th December 2017 - Julia Wolf

Tuesday 5th December 2017 - Maryam Sharifzadeh

On the maximum number of integer colourings with forbidden monochromatic sums

Tuesday 28th November 2017 - Jonathan Bennett

The Kakeya-Brascamp-Lieb inequality

Tuesday 21st November 2017 - Sean Prendiville

Rado's criterion over higher powers.

Tuesday 7th November 2017 - Dmitry Zhelezov

Tuesday 31st October 2017 - Brendan Murphy

Solymosi's conjecture for rich lines in general position

Tuesday 24th October 2017 - Laura Mancinska

Relaxations of Graph Isomorphism

Tuesday 30th May 2017