Francis Brown

activity

20242026

GL_{2 n} (Z)

and the odd commutative graph complex

1 citations · 1 across the 2 of their papers we have counts for

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math.AG2026

The motivic Lie algebra embeds into the cohomology of the general linear group

Francis Brown, Erik Panzer, Jean-Luc Portner

We show that the motivic Lie algebra of mixed Tate motives over $Z$ embeds canonically into the unstable compactly-supported cohomology of locally symmetric spaces for $\m…

math.AG2025

Positive geometries and canonical forms via mixed Hodge theory

Francis Brown, ClÃ©ment Dupont

''Positive geometries'' are a class of semi-algebraic domains which admit a unique ''canonical form'': a logarithmic form whose residues match the boundary structure of the domain.…

math.AG2025

Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $GL_{g} (Z)$ and $SL_{g} (Z)$

Francis Brown

We construct bordifications of the moduli spaces of tropical curves and of tropical abelian varieties, and show that the tropical Torelli map extends to their bordifications. We pr…

math.AG2024

Hopf algebras in the cohomology of $A_{g}$ , $GL_{n} (Z)$ , and $SL_{n} (Z)$

Francis Brown, Melody Chan, SÃ¸ren Galatius +1

We describe a bigraded cocommutative Hopf algebra structure on the weight zero compactly supported rational cohomology of the moduli space of principally polarized abelian varietie…

The motivic Lie algebra embeds into the cohomology of the general linear group

Positive geometries and canonical forms via mixed Hodge theory

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

Hopf algebras in the cohomology of Ag​, GLn​(Z), and SLn​(Z)

Bordifications of the moduli spaces of tropical curves and abelian varieties, and unstable cohomology of $GL_{g} (Z)$ and $SL_{g} (Z)$

Hopf algebras in the cohomology of $A_{g}$ , $GL_{n} (Z)$ , and $SL_{n} (Z)$