ONE-ENDED SPANNING TREES AND DEFINABLE COMBINATORICS
 Bowen, M Poulin, A Zomback, J Transactions of the American Mathematical Society volume 377 issue 12 8411-8431 (01 Dec 2024) doi:10.1090/tran/9186
Erratum: F-theory and the classification of little strings (Physical Review D (2016) 93 (086002) DOI: 10.1103/PhysRevD.93.086002)
 Bhardwaj, L Del Zotto, M Heckman, J Morrison, D Rudelius, T Vafa, C Physical Review D volume 100 issue 2 (09 Jul 2019) doi:10.1103/PhysRevD.100.029901
Fri, 20 Feb 2026
16:00
L1

Where do you draw the (dividing) line?

Julia Wolf
(Cambridge)
Abstract
A longstanding classification programme in model theory aims to determine when a mathematical structure exhibits tame, structurally simple—as opposed to wild, intractable—behaviour. A key role is played by so-called dividing lines, i.e. properties of logical formulas (or theories) that separate these regimes. In this talk, we demonstrate how the lens of combinatorics has allowed us to gain new insight into higher-order dividing lines, drawing on examples in graphs and groups. We also explain how this perspective has led to advances in higher-order Fourier analysis and statistical learning.
 
This talk intends to be accessible to beginning graduate students in all areas of mathematics.


 

Tue, 25 Nov 2025

16:30 - 17:30
L3

An Adjoint Method for Optimization of the Boltzmann Equation

Prof. Russel Caflisch
Abstract

We present an adjoint method for optimization of the spatially inhomogeneous Boltzmann equation for rarefied gas dynamics. The adjoint method is derived using a "discretize then optimize" approach. Discretization (in time and velocity) is via the Direct Simulation Monte Carlo (DSMC) method, and adjoint equations are derived from an augmented Lagrangian.  The boundary conditions that are included in this analysis include spectral reflection, thermal reflection, and inflow boundary conditions. For thermal reflection, a "score function" is included as a statistical regularization. This is joint work with Yunan Yang (Cornell). This special seminar is jointly held with the Keble Complexity Research Cluster.

Tight bounds for intersection‐reverse sequences, edge‐ordered graphs, and applications
 Janzer, B Janzer, O Methuku, A Tardos, G Journal of the London Mathematical Society volume 112 issue 4 (15 Oct 2025) doi:10.1112/jlms.70324
Bouncing to coalescence transition for droplet impact onto moving liquid pools
 Harris, D Alventosa, L Sand, O Silver, E Mohammadi, A Sykes, T Castrejon-Pita, A Cimpeanu, R (02 Oct 2025)
Medical, socioeconomic, and geographic disparities in primary health care access and utilization: A population-based study of 8038 individuals aged one year and older in rural Uganda
 Mayet, S Puthur, C Nabatte, B Tinkitina, B Opio, C Zhi, Y Kabatereine, N Chami, G doi:10.1101/2025.10.23.25338656
Lifted TASEP: Long-time dynamics, generalizations, and continuum limit
 Essler, F Gipouloux, J Krauth, W SciPost Physics Core volume 8 issue 4 063 (02 Oct 2025) doi:10.21468/scipostphyscore.8.4.063
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