Morning Speakers

Wael Bahsoun (Loughborough University)
TBC
Tuesday 24th June 2025, 10:30-11:30

Matteo Tanzi (King’s College London)
TBC
Tuesday 24th June 2025, 11:30-12:30

Fred Diamond (King’s College London)
TBC
Tuesday 24th June 2025, 10:30-11:30

Rachel Newton (King’s College London)
TBC
Tuesday 24th June 2025, 11:30-12:30

Natalia Jurga (University of St. Andrews)
TBC
Wednesday 25th June 2025, 10:30-11:30

Felix Flicker (University of Bristol)
TBC
Wednesday 25th June 2025, 11:30-12:30

Jens Marklof FRS (University of Bristol)
Random lattices and their applications in number theory, geometry and statistical mechanics
Wednesday 25th June 2025, 10:30-11:30

Lattices are fundamental objects in physics, mathematics and computer science. Starting from a cubic lattice, say, we can perturb the structure by linear transformations (shearing, stretching, rotating) to obtain a whole family of lattices. I will discuss the resulting “space of lattices”, the dynamics of group actions on this space, natural probability easures, as well as some fascinating applications to long-standing problems in various areas of mathematics and mathematical physics. My plan is to tell you about kinetic transport in crystals and quasicrystals (the Lorentz gas), pseudo-random properties of simple arithmetic sequences, knapsack problems, diameters of random Cayley graphs and (time permitting) subtle lattice point counting problems in hyperbolic geometry.

Ulrike Tillmann FRS (University of Oxford)
TBC
Wednesday 25th June 2025, 11:30-12:30

Laura Monk (University of Bristol)
TBC
26th June 2025, 10:30-11:30

Tomasz Brzezinski (Swansea University, University of Białystok)
Affinization of algebraic structures
26th June 2025, 10:30-11:30

The proposal of Tulczyjew (1985) to formulate analytical mechanics in a way that is independent of the frame of reference is based on replacing vector spaces by affine spaces. This idea leads to a more general programme of ‘affinization’, in which an algebraic structure with a distinguished element (or nullary operation) is replaced by a version in which no element is distinguished a priori, but a selection of any element retracts it to the original structure. In this talk we discuss a few instances of affinization: heaps as an affine version of groups, trusses as affinizations of rings, affine spaces and algebras on affine spaces.