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.

My CV is available here.

Office 238

Department of Mathematics

1 Oxford Street

Cambridge, Massachusetts

02138 USA

E-mail:tayou@math.harvard.edu

- 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. To appear in
**Algebra & Number Theory**. - 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).

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

- Spring 2024:

Algebraic Number Theory.

- Fall 2023:

Real analysis.

- 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.

- My Ph.D thesis is available here.
- Master 2 thesis, supervised by Gaëtan Chenevier.

- Online seminars.
- Seminars in East coast area: Quebec-Vermont NT seminar, Harvard NT seminar.
- Seminars in Paris area: SAGA, Cycles algébriques, RéGA.
- Mathematical associations: Maths&Maroc, Animaths.
- Mathematical forums: MathOverflow.
- Mathematical resources: arXiv, The Stacks Project, Sci Hub, Library Genesis.
- General mathematics: Images des Maths.
- Around scientific edition: The Cost of Knowledge.