Finding unavoidable colorful patterns in multicolored graphs
Bowen, M Lamaison, A Müyesser, A Electronic Journal of Combinatorics volume 27 issue 4 1-16 (01 Jan 2020)
Monochromatic products and sums in the rationals
Bowen, M Sabok, M Forum of Mathematics Pi volume 12 (21 Oct 2024)
Monochromatic products and sums in 2-colorings of N
Bowen, M Advances in Mathematics volume 462 (01 Feb 2025)
The Sprague-grundy function for some selective compound games
Beideman, C Bowen, M Müyesser, A Integers volume 20 1-22 (01 Jan 2020)
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)
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.


 

GSA SPARK 2025 is back, starting from  November 24th until the December 14th, 2025. This coding challenge is especially suited for first-year undergraduates from all STEM disciplines. Take part in 21 days of exciting chellenges, testing your maths and coding to the test. There are £5,000 worth of of daily prizes up for grabs and a £1000 grand prize for the overall winner.  Register at gsa-spark.com.

This year’s Atmospheric, Oceanic and Planetary Physics Open Day will take place online on Tuesday 2nd December 2025 from 1:30-4:00pm.

Join us online to meet supervisors as well as some of our postdocs, and hear brief talks on their research. There will also be drop-in sessions with supervisors and current students, with ample opportunity for you to ask questions.

The PhD students from the probability group are organising an event for master’s students interested in probability (and related areas) on 10th November at 5pm. The idea is that we all meet on the ground floor of the Statistics department and split into groups so that each table has 1-2 PhD students and a few master’s students.

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