Prof. Francis Brown

For D.Phil positions, please apply through the Mathematical Institute, research group `Mathematical Physics', and preferably mention funding source ERC Synergy (not obligatory).

Recent publications

Unstable cohomology of $\mathsf{GL}_{2n}(\mathbb{Z})$ and the odd commutative graph complex

Brown, F Hu, S Panzer, E (18 Jun 2024)

Hopf algebras in the cohomology of $\mathcal{A}_g$,
$\mathrm{GL}_n(\mathbb{Z})$, and $\mathrm{SL}_n(\mathbb{Z})$

Brown, F Chan, M Galatius, S Payne, S (19 May 2024) http://arxiv.org/abs/2405.11528v2

The wheel classes in the locally finite homology of
$\mathrm{GL}_n(\mathbb{Z})$, canonical integrals and zeta values

Brown, F Schnetz, O (09 Feb 2024) http://arxiv.org/abs/2402.06757v3

Generalised Graph Laplacians and Canonical Feynman Integrals with Kinematics

Brown, F Communications in Mathematical Physics volume 405 issue 2 (09 Feb 2024)

Bordifications of the moduli spaces of tropical curves and abelian
varieties, and unstable cohomology of $\mathrm{GL}_g(\mathbb{Z})$ and
$\mathrm{SL}_g(\mathbb{Z})$

Brown, F (22 Sep 2023) http://arxiv.org/abs/2309.12753v2