Tue, 26 May 2026

12:00 - 13:00
C5

Understanding and mitigating the bias of Diffusion Posterior Sampling algorithm

Dr. Matias Delgadino
(University of Texas at Austin)
Abstract
We identify the bias in the Diffusion Posterior Sampling algorithm by the use of the classical Feynman-Kac formula. This analysis, the first of its kind, allows us to understand correction/improvements to the algorithm from first principles. We show how STSL, a better performing variant of DPS, can be derived from first principles using this analysis.


 

Wed, 17 Jun 2026
14:00
N3.12

Mathematrix: End of term crafts

Abstract

Take a break at the end of term with some Mathematrix crafts and sweet treats! Supplies for watercolor and origami will be provided, and you are welcome to bring your own crafts. 

Tue, 12 May 2026
12:00
N3.12

Mathematrix: International Women in Mathematics Day

Abstract

Everyone is invited to celebrate International Women in Mathematics Day with a pizza lunch! We will be watching ‘Journeys of Women in Mathematics’, a powerful 20-minute film by the International Mathematical Union showcasing the experiences of women mathematicians worldwide. It follows three mathematicians from India, Cameroon, and Brazil from their home institutions to the (WM)² international meeting, showing their research and what it’s like to be part of the global maths community.

Survival and invasion dynamics in cell populations: an analytical framework for threshold behaviour in nonlinear age-structured models
Abo, S Baker, R SIAM Journal on Life Sciences
Wed, 03 Jun 2026
15:00
C6

Decombinatorialisation

Heath Pearson
(Nottingham)
Abstract
This is a case study in approaching algebraic-geometric questions by first solving them in a combinatorially tractable class, and then generalising the findings through a sequence of increasingly general classes. The end goal is a proof of the general case. We call this process a ``decombinatorialisation''.
 
Executing such a process remains a lofty goal, and here we present only the first steps of what could be considered a decombinatorialisation. In this talk, we explore the Mukai conjecture on the characterisation of powers of projective spaces among Fano varieties. We will see how over time, generalisations of its proof in the case of toric Fano varieties have emerged.
 
In this setting we will explore two possible decombinatorialisations: via the class of spherical Fano varieties, and via a class of Fanos embedded into toric varieties via the Cox ring.
Thu, 04 Jun 2026
15:00
C3

Some facts about ε-harmonic maps

Andrew Roberts
(Leeds)
Abstract

The ε-energy is a regularisation of the Dirichlet energy introduced by Tobias Lamm. Like the famous Sacks-Uhlenbeck regularisation this greatly improves the existence and regularity theory. When we take the limit of a sequence of ε-harmonic maps with the parameter ε decreasing to 0 these converge, in the standard bubbling sense, to harmonic maps, which we hope to extract information about. I will talk about some recent results for these sequences, being when we might hope to have no loss of energy and no neck forming and what sort of harmonic maps we can obtain in the limit.

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