Olivier Martin

Office: Math Tower 4-116, Office hours
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.

Research

• Measures of association between algebraic varieties, II: self-correspondences, with R. Lazarsfeld (2023).
• Effective zero-cycles and the Bloch-Beilinson filtration (2022).
• Measures of association between algebraic varieties, with R. Lazarsfeld, to appear in Selecta Math. (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).

Teaching

I currently teach MAT 312: Applied Algebra MWF 10:30-11:25 in Earth & Space 131 and MWF 11:45-12:40 in Lgt Engr Lab 102.

Undergraduate students

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.

Miscellaneous

• 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.