Salim Tayou's personal webpage

Salim Tayou

I am a Benjamin Peirce Fellow at Harvard University.

My research is in number theory and algebraic geometry. I like to think about the Hodge locus in complex geometry and the Tate locus in arithmetic geometry, with applications to geometric problems on Shimura varieties, K3 surfaces, and abelian varieties. I have been interested recently in (mock-) modularity properties of special cycles in Shimura varieties as well as the study of the non-abelian Hodge locus in non-abelian Hodge theory.

My research is supported by NSF grant DMS-2302388.

I graduated in 2019 from Paris-Sud University where my advisor was François Charles.

I am currently on the academic job market for a position starting in Fall 2024.

My CV is available here.

Office 238
Department of Mathematics
1 Oxford Street
Cambridge, Massachusetts
02138 USA

E-mail: tayou@math.harvard.edu

Research:

On the non-abelian Hodge locus I. With Philip Engel. Preprint.

Vanishing of Brauer classes on K3 surfaces under specialization. With Davesh Maulik. Preprint.

Mixed Mock Modularity of Special Divisors. With Philip Engel and François Greer. Preprint.

Picard rank jumps for K3 surfaces with bad reduction. Preprint.

Equidistribution of Hodge loci II. With Nicolas Tholozan. Compositio Mathematica, Volume 159, Issue 1, January 2023, pp. 1 - 52.

Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields. With Ananth Shankar, Arul Shankar and Yunqing Tang. Forum of Mathematics, Pi, Volume 10, 2022, e21.

Rational curves on elliptic K3 surfaces. Mathematical Research Letters. Vol. 27, No. 4 (2020), pp. 1237-1247.

On the equidistribution of some Hodge loci. J. Reine Angew. Math. 762 (2020), 167–194.

Images des représentations galoisiennes associées à certaines formes modulaires de Siegel de genre 2. Int. J. Number Theory, 13, 1129 (2017).

Harvard number theorists seminar:

I occasionally organize and write programs for the Harvard number theorists seminar. See below for more details.

Spring 2023: Non-abelian Hodge theory: from C to F_p.
Spring 2022: O-minimality and Ax-Schanuel theorems.

Current teaching:

Spring 2024:
Algebraic Number Theory.
Fall 2023:
Real analysis.

Previous teaching:

Spring 2023:
Number Fields.
Fall 2022:
Commutative algebra.
Spring 2022:
Topics in Hodge theory.
Linear algebra.
Fall 2021:
Commutative algebra.
2017-2020:
Algebraic topology at École Normale Supérieure Ulm.
2016-2017:
First year calculus and second year linear algebra at université Paris-Sud.

Miscellanea:

My Ph.D thesis is available here.

Master 2 thesis, supervised by Gaëtan Chenevier.