Prof. Francis Brown

Status

Academic Faculty

Professor of Mathematics

Senior Research Fellow at All Souls College

Contact form

ORCID iD

https://orcid.org/0000-0002-9295-2572

Research groups

Mathematical Physics

Address

Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Major / recent publications

Deligne, Pierre:`Multizêtas, d'après Francis Brown', Séminaire Bourbaki, Astérisque No. 352 (2013), Exp. No. 1048, viii, 161–185.

https://www.quantamagazine.org/20161115-strange-numbers-found-in-partic…

Research interests

Mathematical physics and algebraic geometry.

Postdoctoral and Ph.D positions available on the ERC synergy grant `Mathematics of Scattering Amplitudes' (https://inspirehep.net/jobs/2847714).

For postdoctoral positions in Oxford, see:

https://my.corehr.com/pls/uoxrecruit/erq_jobspec_details_form.jobspec?p_id=176934

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

Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of GLg(Z) and SLg(Z)

Brown, F Inventiones Mathematicae volume 241 issue 1 35-152 (06 May 2025)

Multivariable Vandermonde determinants, amalgams of matrices and Specht modules

Brown, F Journal of Algebra (01 Apr 2025)

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