Matt Kerr

activity

20242026

collaborators

6 papers

math.AG2026

Real regulator maps with finite 0-locus

RJ Acuna, Devin Akman, Matt Kerr

A Laurent polynomial in two variables is tempered if its edge polynomials are cyclotomic. Variation of coefficients leads to a family of smooth complete genus $g$ curves carrying a…

math.AG2026

Three vignettes on hypergeometric normal functions

Matt Kerr

We use Hodge-theoretic methods to (i) explain number-theoretic identities of a type recently considered by Guillera and Zudilin, (ii) describe the Frobenius dual of Abel-Jacobi per…

math.AG2025

Hodge adjacency conditions for singularities

RJ Acuna, Matt Kerr

We prove compatibility relations between mixed Hodge numbers of $k$ -Du Bois fibers in flat projective families and versal deformations of isolated $k$ -Du Bois singularities. These…

math.AG2025

Non-vanishing of Ceresa and Gross--Kudla--Schoen cycles associated to modular curves

Matt Kerr, Wanlin Li, Congling Qiu +1

Associated to an algebraic curve $X$ , there are two canonically constructed homologically trivial algebraic $1$ -cycles, the Ceresa cycle in the Jacobian of $X$ , and the Gross-Kudla…

math.AG2024

The arithmetic of Calabi-Yau motives and mobile higher regulators

Vasily Golyshev, Matt Kerr

We construct elements in the motivic cohomology of certain rank 4 weight 3 Calabi--Yau motives, and write down explicit expressions for the regulators of these elements in the cont…

math.AG2024

On the torsion locus of the Ceresa normal function

Matt Kerr, Salim Tayou

We prove that the positive-dimensional part of the torsion locus of the Ceresa normal function in $M_{g}$ is not Zariski dense when $g \geq 3$ . Moreover, it has only finitel…