YRM places emphasis on the involvement of young researchers across a wide range of mathematical disciplines. Aside from plenary talks and one talk per track from invited speakers, all the presentations are made by the young researchers themselves. There are also several social events at each conference aimed at having researchers from across the UK and from other countries getting to know each other.

## Young Researchers in Mathematics 2009

**Location: **Centre for Mathematical Sciences, University of Cambridge

**Dates:** 16-18 April 2009

**Plenary Talks**

**Speaker: **David Spiegelhalter, Winton Professor of the Public Understanding of Risk at the University of Cambridge

**Title:** What is the use of probability and statistics in an uncertain world?

**Keynote Speakers**

**Speaker: **Dominic Joyce, University of Oxford

**Track: **Differential Geometry

**Title:** Riemannian holonomy groups and calibrated geometry

**Speaker: **Andrew Hogg, University of Bristol

**Track: **Geophysical and Environmental Fluid Dynamics

**Title:** Saving lives with fluid mechanics

**Speaker: **Harvey Reall, University of Cambridge

**Track: **General Relativity, String Theory

**Title:** Higher dimensional black holes

**Speaker: **Tom Leinster, University of Glasgow

**Track: **Category Theory

**Title:** Counting, measure, and metrics

**Speaker: **Jonathan Forster, University of Southampton

**Track: **Statistics

**Title:** Statistics: The Mathematics of Society

**Speaker: **Tom Bridgeland, University of Sheffield

**Track: **Commutative Algebra, Algebraic Geometry

**Title:** Moduli spaces and wall-crossing

**Speaker: **Steve Tobias, University of Leeds

**Track: **Astrophysical Fluid Dynamics

**Title:** The solar tachocline: why is it there and what is it for?

**Speaker: **Toby Wiseman, Imperial College London

**Track: **String Theory

**Title:** Holography and string theory

**Speaker: **Mike Tehranchi, University of Cambridge

**Track: **Quantitative Finance

**Title:** Hedging in large financial markets

**Speaker: **Jonathan Dawes, University of Bath

**Track: **Nonlinear Dynamics

**Title:** Bifurcation theory for localised states

**Speaker: **Ben Green, University of Cambridge

**Track: **Additive Combinatorics

**Title:** Approximate structure

**Speaker: **Nick Manton, University of Cambridge

**Track: **Quantum Field Theory, Supersymmetry

**Title:** From Klein Polynomials to Carbon-12

**Speaker: **Ivan Fesenko, University of Nottingham

**Track: **Number Theory

**Title:** Modern number theory as unifying factor for mathematics

## Young Researchers in Mathematics 2010

**Location:** Centre for Mathematical Sciences, University of Cambridge

**Dates:** 25-27 March 2010

**Plenary talks**

**Speaker: **Michael Green, University of Cambridge

**Title:** String theory and its dualities

**Speaker: **Michael Atiyah, University of Edinburgh

**Title:** A Panoramic View of Mathematics

**Keynote Speakers**

**Speaker: **Richard Kaye, University of Birmingham

**Speaker: **Tim Gowers, University of Cambridge

**Speaker: **Richard Thomas, Imperial College, London

**Speaker: **Samir Siksek, University of Warwick

**Speaker: **Ruth Gregory, University of Durham

**Speaker: **Yoav Git, Winton Capital

**Speaker: **Netta Cohen, University of Leeds

**Speaker: **Jose Figueroa-O'Farrill, University of Edinburgh

**Speaker: **John Hinch, University of Cambridge

**Speaker: **Marc Lackenby, Oxford University

**Speaker: **Dan Segal, Oxford University

**Speaker: **Philip Dawid, University of Cambridge

## Young Researchers in Mathematics 2011

**Location:**University of Warwick

**Dates:**14-16 April 2011

**Plenary Talks**

**Speaker: **Robin C Ball, Department of Physics and Centre for Complexity Science, University of Warwick

**Title:** Optimisation under Uncertainty

**Keynote Speakers**

**Speaker: **Martin R. Bridson, Mathematical Institute, University of Oxford, UK

**Track: **Algebra

**Title:** The universe of finitely presented groups

**Speaker: **Burt Totaro, DPMMS, University of Cambridge, UK

**Track: **Algebraic Geometry

**Title:** Algebraic geometry from a topological point of view

**Speaker: **John Ball, Mathematical Institute, University of Oxford, UK

**Track: **Analysis and PDEs

**Title:** Variational problems for solid and liquid crystals

**Speaker: **Peter Cameron, School of Mathematical Sciences, Queen Mary, University of London, UK

**Track: **Combinatorics

**Title:** Synchronization

**Speaker: **Jeff Johnson, Open University, UK

**Track: **Complexity

**Title:** Hypernetworks for modelling multilevel complex systems

**Speaker: **Nigel Hitchin, Mathematical Institute, University of Oxford, UK

**Track: **Differential Geometry

**Title:** Generalized geometry and Poisson geometry

**Speaker: **Mary Rees, Department of Mathematical Sciences, Liverpool University, UK

**Track: **Dynamical Systems

**Title:** Topological models in complex dynamics

**Speaker: **David Hand, Department of Mathematics, Imperial College, UK

**Track: **Financial Maths

**Title:** Evaluating consumer credit scoring models

**Speaker: **Raymond Goldstein, DAMTP, University of Cambridge, UK

**Track: **Mathematical Biology

**Title:** Fluid Dynamics and the Evolution of Biological Complexity

**Speaker: **Sandra Chapman, Physics Department, University of Warwick, UK

**Track: **Maths Physics

**Title:** Scaling laws, emergence and statistical descriptions of systems that are out of equilibrium: what we can model and measure

**Speaker: **Kevin Buzzard, Department of Mathematics, Imperial College, UK

**Track: **Number Theory

**Title:** Future directions in the Langlands program

**Speaker: **Saul Jacka, Department of Statistics, University of Warwick, UK

**Track: **Statistics and Probability

**Title:** Stochastic Control and Applications

**Speaker: **Caroline Series, Warwick Mathematics Institute, University of Warwick, UK

**Track: **Topology

**Title:** Limits of limit sets

## Young Researchers in Mathematics 2012

**Location:** University of Bristol

**Dates:** 2-4 April 2012

**Plenary Talk: Turing centenary lecture**

Andrew Hodges, University of Oxford

**Keynote Speakers**

**Speaker: **Viviane Baladi, École normale Supérieure

**Track: **Dynamical Systems

**Speaker: **Gui-Qiang Chen, University of Oxford

**Track: **Analysis and PDEs

**Speaker: **Dimitris Drikakis, Cranfield University

**Track: **Applied Maths

**Speaker: **Henryk Iwaniec, Rutgers University

**Track: **Number Theory

**Speaker: **Jon Keating, University of Bristol

**Track: **Quantum Physics

**Speaker: **Wilfrid Kendall, Warwick University

**Track: **Probability and Statistics

**Speaker: **Frances Kirwan, University of Oxford

**Track: **Geometry and Topology

**Speaker: **Angus MacIntyre, Queen Mary and Westfield College, University of London

**Track: **Logic and Set Theory

**Speaker: **Renato Renner, ETH Zurich

**Track: **Cryptography and Quantum Information

**Speaker: **Jan Saxl, University of Cambridge

**Track: **Algebra

**Speaker: **Reidun Twarock, University of York

**Track: **Mathematical Biology

**Speaker: **Julia Wolf, Ecole Polytechnique

**Track: **Combinatorics

**Speaker: **Mark Davis, Imperial College London

**Track: **Mathematical Finance

## Young Researchers in Mathematics 2013

**Location:** University of Edinburgh

**Dates:** 17-20 June 2013

**Plenary Talks**

**Speaker: **Dusa McDuff, Barnard College, New York

**Speaker: **Michael Atiyah, University of Edinburgh

**Keynote Speakers**

**Speaker: **Ken Brown, University of Glasgow

**Track: **Algebra

**Speaker: **Ulrike Tillmann, University of Oxford

**Track: **Algebraic Topology

**Speaker: **James Robinson, University of Warwick

**Track: **Analysis and PDE

**Speaker: **Tom Leinster, University of Edinburgh

**Track: **Category Theory

**Speaker: **Bela Bollobas, University of Cambridge

**Track: **Combinatorics

**Speaker: **Mihail Zervos, London School of Economics

**Track: **Financial Mathematics

**Speaker: **Silvia Sabatini, EPFL

**Track: **Geometry

**Speaker: **Jonathan Sherratt, Heriot-Watt University

**Track: **Mathematical Biology

**Speaker: **Christian Blohmann, MPI Bonn

**Track: **Mathematical Physics

**Speaker: **Ben Green, University of Cambridge

**Track: **Number Theory

**Speaker: **Endre Suli, University of Oxford

**Track: **Numerical Analysis

**Speaker: **Andrea Albrecht, University of Freiburg

**Track: **History of Mathematics

## Young Researchers in Mathematics 2014

**Location:** University of Warwick

**Dates:** 30 June - 3 July 2014

**Plenary Talks**

**Speaker: **Jeremy Gray, Open University/Warwick University

**Title:** It's too late now! What you might have done starting out a long time ago

**Speaker: **Ian Stewart, Warwick University

**Title:** Network Models of Visual Illusions and Rivalry

**Keynote Speakers**

**Speaker: **John Ball, University of Oxford

**Track: **Analysis & PDEs

**Title:** Mathematics of Interfaces in Solids

**Speaker: **Hugo Duminil-Copin, University of Geneva

**Track: **Probability and Statistics

**Title:** The self-avoiding walk on the hexagonal lattice: from combinatorics to Conformal Field Theory

**Speaker: **Rebecca Hoyle, University of Surrey

**Track: **Maths & Biology

**Title:** Maternal effects and environmental change

**Speaker: **Colva Roney-Dougal, University of St Andrews

**Track: **Algebra

**Title:** Groups, diagrams and geometries

**Speaker: **Robert Mackay, Warwick University

**Track: **Maths & Physics

**Title:** A kinematic explanation for gamma-ray bursts

**Speaker: **Thomas Forster, University of Cambridge

**Track: **Set Theory & Logic

**Title:** The Axiom of Choice: what it means and what it does

**Speaker: **Peter Topping, Warwick University

**Track: **Differential Geometry

**Title:** An introduction to Differential Harnack Inequalities

**Speaker: **Roger Heath-Brown, University of Oxford

**Track: **Number Theory

**Title:** Diophantine equations: Algebra, Geometry, Analysis &

Logic

**Speaker: **Gwynneth Stallard, Open University

**Track: **Dynamical Systems

**Title:** The role of the escaping set in complex dynamics

**Speaker: **Tom Coates, Imperial College, London

**Track: **Algebraic Geometry

**Title:** Mirror Symmetry

**Speaker: **Saul Jacka, Warwick University

**Track: **Financial Maths & Stochastic Analysis

**Title:** An introduction to math finance with transaction costs

**Speaker: **Saul Schleimer, Warwick University

**Track: **Topology

**Title:** Algorithmic topology

**Speaker: **John Gibbon, Imperial College, London

**Track: **Fluid Mechanics

**Title:** The incompressible 3D Euler and Navier-Stokes equations:

how much do we know?

**Speaker: **David Conlon, University of Oxford

**Track: **Combinatorics

**Title:** On the grid Ramsey problem and related questions

## Young Researchers in Mathematics 2015

**Location:** University of Oxford

**Dates:** 17-20 August 2015

**LMS Public Lecture**

**Speaker: **Vicky Neale**, **University of Oxford

**Title:** 7 things you need to know about prime numbers

**Plenary Talks**

**Speaker: **Frances Kirwan, University of Oxford

**Title:** Non-reductive geometric invariant theory and applications in algebraic, symplectic and hyperkahler geometry

**Keynote Speakers**

**Speaker: **Frank Smith, University College London

**Track: **Fluid Dynamics

**Title:** Bodies and droplets

**Speaker: **Andrew Granville, Université de Montréal

**Track: **Number Theory

**Title:** Patterns in the primes

**Speaker: **Jonathan Fraser, University of Manchester

**Track: **Dynamical Systems

**Title:** Dynamically defined fractals

**Speaker: **Wilfrid Kendall, University of Warwick

**Track: **Probability and Stochastic Processes

**Title:** Probability coupled with Geometry

**Speaker: **Ragni Piene, University of Oslo

**Track: **Geometry

**Title:** Projective geometry from a toric point of view

**Speaker: **Barbara Niethammer, University of Oxford

**Track: **PDEs

**Title:** Dynamic scaling in models for coarsening phenomena

**Speaker: **Constantin Teleman, University of California, Berkeley

**Track: **Topology

**Title:** Division by 2 in characteristic 2 and quadratic topology

**Speaker: **Carola-Bibiane Schonlieb, University of Cambridge

**Track: **Numerical Analysis

**Title:** The Variational Image: Structure of Images and Their Computational

Treatment

**Speaker: **Steffan Grunewalder, Lancaster University

**Track: **Machine Learning

**Title:** A Challenge for Mathematics

**Speaker: **Kobi Kremnitzer, University of Oxford

**Track: **Algebra

**Title:** Relative algebraic geometry and analytic geometry

**Speaker: **Cyrille Mathis, Think Tanks Maths, Ltd

**Track: **Think Tank Maths

**Title:** What kind of mathematicians for the challenges of the future?

**Speaker: **Kostas Kardaras, London School of Economics

**Track: **Mathematical Finance

**Title:** A version of the Fundamental Theorem of Asset Pricing

**Speaker: **Martine Ben Amar, École Normale Supérieure

**Track: **Mathematical Biology and Mathematical Physics

**Title:** Patterns of Bacterial Colonies

**Speaker: **Daniela Kühn, University of Birmingham

**Track: **Combinatorics and Graph Theory

**Title:** Decompositions of graphs: splitting huge structures into simple pieces

**Speaker: **Simon Tavaré, University of Cambridge

**Track: **Statistics

**Title:** Approximate Bayesian Computation: treasure trove or trivial pursuit?

## Young Researchers in Mathematics 2016

**Location:** University of St Andrews

**Dates:** 1-4 August 2016

**Public Lecture**

**Speaker: **Michael E McIntyre, University of Cambridge

**Title:** What has the Antarctic ozone hole to do with biological evolution? Selfish-gene theory isn't the Answer to Everything

**Plenary Talks**

**Speaker: **Peter Cameron, Queen Mary University of London / University of St Andrews

**Title:** Mathematics with and without CFSG

**Speaker: **Clément Mouhout, University of Cambridge

**Speaker: **Graeme Segal, University of Oxford

**Title:** The ubiquity of homotopy theory

**Keynote Speakers**

**Speaker: **Victoria Gould, University of York

**Track: **Algebra

**Title:** Groups and idempotents

**Speaker: **Philippa Browning, University of Manchester

**Track: **Plasma Theory

**Title:** Magnetic reconnection in twisted flux ropes in solar flares and spherical tokamaks

**Speaker: **Penny Davies, University of Strathclyde

**Track: **Numerical Analysis

**Title:** Something Old, Something New...

**Speaker: **Philip Welch, University of Bristol

**Track: **Logic & Set Theory

**Title:** Proving theorems about projective sets of reals from Reflection

**Speaker: **Sarah Whitehouse, University of Sheffield

**Track: **Topology

**Title:** Associativity from a topologist's point of view

**Speaker: **Adrian Bowman, University of Glasgow

**Track: **Statistics

**Title:** Statistics with a human face

**Speaker: **Jan Gutowski, University of Surrey

**Track: **Mathematical Physics

**Title:** Geometry and Black Holes

**Speaker: **Samir Siksek, University of Warwick

**Track: **Number Theory

**Title:** Sums of seven cubes

**Speaker: **Maarit Järvenpää, University of Oulu

**Track: **Fractal Geometry & Dynamical Systems

**Title:** Random covering sets

**Speaker: **Michael E McIntyre, University of Cambridge

**Track: **Fluid Mechanics

**Title:** Jetstreams, vortices, and the Antarctic ozone hole

**Speaker: **Stephen Coombes, University of Nottingham

**Track: **Mathematical Biology

**Title:** Mathematical Neuroscience: from neurons to networks

**Speaker: **Jon Warren, University of Warwick

**Track: **Probability Theory

**Title:** Growth models and the eigenvalues of random matrices

**Speaker: **James Wright, University of Edinburgh

**Track: **Analysis

**Title:** A talk with two tales: from absolutely to uniformly convergent Fourier

series

**Speaker: **Kousha Etessami, University of Edinburgh

**Track: **Game Theory

**Title:** Game Theory, Fixed Points, and Computational Complexity