You may have noticed we are running a series of short films on the maths behind popular games (card, board, digital, nothing is off limits). So we want contributors for the following games plus any ideas you have of your own.
Poker, Blackjack, Roulette, Chess, Go, Bridge, Monopoly, Tsuro, Carcasonne, Cathedral, Minecraft, Catan, Ticket to Ride, Saboteur, Projective Noughts and Crosses, Projective Set, Splendour, Minesweeper, Backgammon, etc.
The stable Andrews-Curtis conjecture remains one of the most notorious unsolved problems in group theory. It proposes that every balanced presentation of the trivial group can reduced to the standard presentation (with one generator and one relation) using a sequence of simple moves. In my talk, I will focus on group presentations that are ‘thickenable’, which means that their associated 2-complex embeds in a 3-manifold. For such presentations, the stable Andrews-Curtis conjecture is known to hold. In my talk, I will explain how one can also get an explicit exponential-type upper bound on the number of stable Andrews-Curtis moves that are required. This is in sharp contrast to what is known about non-thickenable presentations.
Deformation theory studies how varieties and other algebro-geometric objects vary in families. A central part of the subject is formal deformation theory, where one deforms over an Artinian base; such deformation problems are governed by Lie algebraic models.
We pose the question of deforming varieties over nilpotent but not necessarily Artinian bases. These turn out to be classified by the same Lie algebraic models plus some topological structure. More precisely, we will consider partition Lie algebras in the category of ultrasolid modules, a variation of the solid modules of Clausen and Scholze that give a well-behaved category akin to topological modules.
To approach this result, we decompose deformation problems into n-nilpotent layers. Each of these layers is individually easier to understand, and is classified by simpler variants of partition Lie algebras.
Are you a UK-registered student with an interest in the future of pensions and long-term saving? If so, our Student Essay Competition for a prize of up to £3,000 is open for entries!
Find out more below, and apply here: https://aca.org.uk/aca-75th-anniversary-future-of-pensions-student-essay-competition-entry-form/
Would you be interested in some work teaching 12-14 year olds that that are interested in Science and Technology in Greater London in June and July?
We are looking for students to assist leading activities and answer questions about University at some of our events. Each day is a regional competition designed to raise enthusiasm for STEM subjects and encourage more young people to consider a career in them.
The Centre for Quantum Mathematics at the University of Southern Denmark is advertising a fully funded PhD position with targeted starting date September 1st, 2026 or soon thereafter. Candidates are expected to have obtained their MSc degree in mathematics or mathematical physics by the starting date, but not necessarily at the time of application.
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