Deriving Optimal Treatment Timing for Adaptive Therapy: Matching the Model to the Tumor Dynamics
Gallagher, K
Strobl, M
Anderson, A
Maini, P
Bulletin of Mathematical Biology
volume 87
issue 10
146
(08 Oct 2025)
Hippocampal Ripple Diversity organises Neuronal Reactivation Dynamics in the Offline Brain
Castelli, M
Lopes Dos Santos, V
Gava, G
Lambiotte, R
Dupret, D
Neuron
Motivic action for Siegel modular forms
Horawa, A
Prasanna, K
Journal of the European Mathematical Society (Print)
Sometimes artists become better known for their lifestyle or fashion tastes than the work without which we wouldn't know or care about them - Van Gogh, Bowie, even Taylor Swift. Jim Morrison of the Doors fits that bill, in his case for his death and grave as much as his life. But he and the band wrote some songs. That's where it all starts and ends.
Tue, 14 Oct 2025
15:30
15:30
L4
Vafa-Witten invariants from modular anomaly
Sergey Alexandrov
(Montpelier)
Abstract
I'll present a modular anomaly equation satisfied by generating functions of refined Vafa-Witten invariants
for the gauge group $U(N)$ on complex surfaces with $b_1=0$ and $b_2^+=1$,
which has been derived from S-duality of string theory.
I'll show how this equation can used to find explicit expressions for these generating functions
(and their modular completions) on $\mathbb{CP}^2$, Hirzebruch and del Pezzo surfaces.
The construction for $\mathbb{CP}^2$ suggests also a new form of blow-up identities.
Schur multipliers of C⁎-algebras, group-invariant compactification and applications to amenability and percolation
Mukherjee, C
Recke, K
Journal of Functional Analysis
volume 287
issue 2
110468-110468
(01 Jul 2024)
I work in the field of geometric group theory. This is a pretty broad heading, but for me it means that the goal is to understand infinite groups, and the strategy is to get them to act on nice metric spaces that we know a lot about.