Email: olivier.martin(at)stonybrook.edu

CV

I have been a Simons Instructor (postdoc) at Stony Brook University since Fall 2020 and am currently on the job market. I obtained my PhD in mathematics from the University of Chicago under the supervision of Alexander Beilinson and Madhav Nori. I study algebraic cycles, measures of irrationality, and K-trivial varieties.

Together with Christian Schnell, I organize the Algebraic Geometry Seminar at Stony Brook. With Fabian Lehmann, I organize the Math Postdoc Seminar held jointly by the Simons Center for Geometry and Physics and the math department.

- Effective zero-cycles and the Bloch-Beilinson filtration (2022).
- Measures of association between algebraic varieties, with R. Lazarsfeld, submitted (2021).
- Rational maps from products of curves to surfaces with p_g=q=0, with N. Chen, submitted (2021).
- The degree of irrationality of most abelian surfaces is 4, Ann. Sci. Éc. Norm. Supér. Volume 55, pp 569-574, (2022).
- Degree of irrationality of a very general abelian variety, with E. Colombo, J. C. Naranjo, and G. P. Pirola, IMRN, rnaa358 (2021).
- Zero-cycles and measures of irrationality for abelian varieties (PhD Thesis) (2020).
- On a conjecture of Voisin on the gonality of very general abelian varieties, Adv. Math. 369 (2020).

- Fall Southeastern Sectional Meeting of the AMS, Special Session on Geometry and Arithmetic of Hyperkähler Manifolds,

October 15-16, Chattanooga.

I am one of the organizers of the conference Birational Complexity of Algebraic Varieties which will be held at the Simons Center for Geometry and Physics from December 12 to 16 2022. The conference will be preceded by an RTG workshop aimed at graduate students which will also be held at the SCGP.

I currently teach MAT 663: Selected topics on algebraic cycles MW 9:45-11:05 in P122.

Edward Varvak: He studied bitangent lines to nodal curves to extend the results of Caporaso and Sernesi to nodal quintics and sextics. He is now a graduate student at UIC.

- The algebraic geometry group at Stony Brook.
- This program by Jieao Song helps with visualizing the LLV decomposition on the cohomology of known deformation types of hyper-Kähler manifolds.
- This program by Pieter Belmans computes the Hodge diamond and the cohomology of twists of the structure sheaf for complete intersections.
- Lists of REUs for undergraduates interested in summer research in mathematics: AMS list, NSF list, another list compiled by Steve Butler.
- The directed reading program at Stony Brook.
- The book Do not erase by Jessica Wynne is an interesting photographic dive in the role that blackboards play in the communication and creation of mathematics. I am honored that my work appears on the photograph of Claire Voisin's board featured in this book.
- A talk on
*Measures of irrationality for abelian varieties*from the Fall of 2020 for the Junior Mathematician Research Archive. - My talented partner Sana Khan is a writer.