The Heilbronn Institute for Mathematical Research is offering a number of grants to fund focused research groups to work on adventurous and challenging mathematical problems, or to discuss a significant new developments in mathematics. There should be a clear problem to be addressed by bringing together a group of around 4-8 people for approximately a week.

Below are links to past and future workshops funded by the Institute in the last couple of years (by chronological order).

Past and Future Focused Research Workshops

2024

Focused Research: Averages of Derivatives of Characteristic Polynomials of Random Unitary Matrices
Bristol: 21 – 25 October 2024
Organiser: Nina Snaith (Bristol)

Focused Research: Structural Stability: Combinatorics, Geometry and Topology
Lancaster: 23 September 2024 – 4 October 2024
Organiser: Anthony Nixon (Lancaster)

Focused Research: Waist Inequalities, Thick Embeddings of Complexes and Applications to Coarse Geometry
Birmingham: 14 – 16 August 2024
Organiser: David Hume (Birmingham)

Focused Research | Intersections: Rigidity Theory Techniques for Erdős Distance Problems
Bristol: 5 – 9 August 2024
Organisers: Sean Dewar (Bristol), Jonathan Passant (Bristol)

Focused Research: On Turull’s Conjecture and a Possible Reduction Theorem
Manchester: 22 – 26 July 2024
Organiser: Jay Taylor (Manchester)

Focused Research: Non-Archimedean Dynamical Tropicalisation and Monge–Ampère Equations
Bristol: 15 – 19 July 2024
Organiser: Farhad Babaee (Bristol)

Focused Research: Arithmetic of Quartic del Pezzo Surfaces via Descent on Genus 2 Curves
Warwick: 1 – 5 July 2024 | 2 – 6 September 2024
Organiser: Katerina Santicola (Warwick)

Focused Research: On Conjugacy Growth in Finitely Generated Groups
Manchester: 27 – 31 May 2024
Organiser: Alex Evetts (Manchester)

Focused Research: Breakthroughs in Quantitative Ramsey Theory
Bristol: 20 – 24 May 2024
Organiser: Jonathan Chapman (Bristol)

Focused Research: Tropical Geometry of Coexter Matroids
Lancaster: 22 – 26 April 2024
Organisers: Kieran Calvert (Lancaster), Aram Dermenjian (Manchester), Benjamin Smith (Lancaster)

Focused Research: Labelling Data Using the Crowd
Bristol: 9 – 12 April 2024
Organiser: Tom Johnston (Bristol)

Focused Research: Geometric Serre Weight Conjectures
KCL: 4 – 8 March 2024
Organiser: Payman Kassaei (KCL)

Focused Research: Campana Points on Toric Varieties (Part II)
Bristol: 19 – 23 February 2024
Organiser: Alec Shute (Bristol)

Focused Research: K-Stability of Smooth Fano 3-Folds
Brunel: Date TBC
Organiser: Anne-Sophie Kaloghiros (Brunel)

2023

Focused Research: A Graph-Theoretic Approach to the Jacobian Conjecture: Part II
KCL: 22 – 24 November 2023
Organiser: Samuel Johnston (KCL)

Focused Research: The Arithmetic of del Pezzo Surfaces of Low Degree
Bath: 2 – 6 October 2023 and 22 – 26 April 2024
Organisers: Sam Streeter (Bristol), Rosa Winter (FernUni Schweiz)

Focused Research: KPZ Equations in Higher Dimension
Durham: 25 – 29 September 2023
Organisers: Mo Dick Wong (Durham), Nikos Zygouras (Warwick)

Focused Research: Probability Theory
Bath: 11 – 15 September 2023
Organisers: Alexandre Stauffer (Bath), Daniel Valesin (Warwick)

Focused Research: Fluctuations for Inhomogeneous Last Passage Times
Sussex: 11 – 15 September 2023
Organisers: Nicos Georgiou (Sussex), Nicholas Simm (Sussex)

Focused Research: Geometric & Representation-Theoretic Constructions of Expander Graphs
Bristol: 11 – 15 September 2023
Organiser: Nikolas Breukmann (Bristol)

Focused Research | New Approaches to Plethysm: Computation and Complexity
York: 28 August 2023 – 1 September 2023
Organisers: Chris Bowman-Scargill (York), Rowena Paget (Kent), Mark Wildon (Bristol and Royal Holloway)

Focused Research: Geometric Group Theory
Bristol: 28 August 2023 – 1 September 2023
Organiser: Vladimir Vankov (Bristol)

Focused Research: Campana Points on Toric Varieties (Part I)
Bristol: 17 – 21 July 2023
Organiser: Alec Shute (Bristol)

Focused Research: The Master Equation in Mean Field Games
Durham: 2 – 15 July 2023
Organiser: Alpár Mészáros (Durham)

Focused Research: Operator Theory
Newcastle: 25 June 2023 – 8 July 2023
Organisers: Zinaida Lykova (Newcastle), Nicholas Young (Newcastle)

Focused Research: Algebraic Methods in 4-manifold Topology
Glasgow: 19 – 23 June 2023
Organisers: John Nicholson (Imperial College), Mark Powell (Glasgow)

Focused Research: Applications of Tropical Geometry and Rigidity Theory in Algebraic Statistics
Bristol: 19 – 23 June 2023
Organisers: Sean Dewar (Bristol), James Maxwell (Bristol)

Focused Research | Square-Tiled Surfaces: A Classification of Cylinder Block Shearing Orbits
Bristol: 19 – 23 June 2023
Organiser: Luke Jeffreys (Bristol)

Focused Research: Knot Invariants via Fukaya Categories of Hypertoric Varieties
Southampton: 5 – 9 June 2023
Organiser: Cheuk Yu Mak (Southampton)

Focused Research: The Sum-Product Problem for Integers – At the Crossroad
Bristol: 29 May 2023 – 2 June 2023
Organisers: Misha Rudnev (Bristol), Oleksiy Klurman (Bristol)

Focused Research: Patterns in Exotic Fusion Systems
Birmingham: 15 – 26 May 2023
Organisers: Chris Parker (Birmingham), Martin van Beek (Manchester)

2022

Focused Research: Non-Hermitian Random Matrices
Bristol: 7 – 11 November 2022

Focused Research: A Graph-Theoretic Approach to the Jacobian Conjecture
Bath: 26 September 2022

Focused Research: Random Matchings
Bristol: 23 – 30 September 2022

Focused Research: Graphical Representations of Spin Systems
Bristol: 5 – 7 September 2022

Focused Research: Unifying Theory for Non-Reversible Markov Chains
Bristol: 2 – 5 August 2022

Focused Research: Cohomology of Wonderful Compactification Models
Bristol: 18 – 22 July 2022

Focused Research: Smooth Representations of GL(n,Q_p) in Natural Characteristic
Oxford: 18 – 22 July 2022

Focused Research: Completely Reducible Subalgebras of Lie Algebras
Birmingham: 4 – 8 July 2022

Focused Research: Kernel Approximations and Space-Filling
Cardiff: 30 June 2022 – 1 July 2022

Focused Research: Combinatorics Meets Model Theory
Cambridge: 20 – 24 June 2022

Focused Research: Complex Hyperbolic Lattices and Moduli Spaces of Flat Tori
Bristol: 26 May 2022 – 3 June 2022

Focused Research: Effective Equidistribution in Homogeneous Dynamics
Bristol: 23 – 27 May 2022

Focused Research: Uncertainty Quantification for Scientific Machine Learning
Dundee: 23 – 29 May 2022

Focused Research: Testing Additive Structure: Littlewood Problem and Convexity
Linz/Bristol: 23 – 28 May 2022

Focused Research: Medium-Range Integrable Spin Chains
Oxford: 9 – 13 May 2022

Focused Research: Large Deviations for the Capacity of a Wiener Sausage
Bristol: 25 April 2022 – 1 May 2022

Focused Research: Collective Dynamics of Interacting Sand Dunes
Bath: 21 April 2022

Focused Research: Maximal Subgroups of Exceptional Groups of Type E8
Manchester: 17 – 20 April 2022

Focused Research: Probabilistic Approaches to Numerical Computation
Newcastle/Warwick: 28 – 29 March 2022

Focused Research: Synthesizing Approaches to the Stark Conjectures
Bristol: 21 – 25 March 2022

Focused Research: The Finitistic Dimension Conjecture
Bristol: 7 – 11 February 2022

Focused Research: Higher-Dimensional Expanders
Bristol: 17 – 19 January 2022

Focused Research: Algebras of Jordan Type and Groups
Birmingham: 17 – 21 January 2022

Focused Research: Generation of Thompson Groups
Bristol: 11 – 14 January 2022

Focused Research: Multivariate Orthogonal Polynomials
Bristol: 10 – 14 January 2022

Focused Research: K-Stability of Smooth Fano 3-Folds
Brunel: 10 – 14 January 2022

2021

Focused Research: Interaction Mechanisms in Monte Carlo
Bristol: 13 – 17 December 2021

Focused Research: Zeros of Littlewood Polynomials: Random and Deterministic Worlds
Bristol: 18 – 22 October 2021

Focused Research: Representations of Graph Braid Group in Topological Quantum Computing
Bristol: 13 – 17 September 2021

Focused Research: Categorification and Grassmannian Mirror Symmetry
Bath: 6 – 9 July 2021

Focused Research: Stein’s Method and High-Dimensional Time Series Analysis
Bristol: 29 – 31 March 2021

Focused Research: Recent Progress on the Restriction Problem and Kakeya Conjecture
Bristol: 25 – 29 January 2021

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