François Greer

I am currently an RTG Postdoctoral Fellow with a joint appointment at Stony Brook University and the Simons Center for Geometry and Physics.

From September 2020 to July 2021, I will be a Member at the Institute for Advanced Study.

Starting in August 2021, I will be the Van Haften Assistant Professor at Michigan State.

I received my Ph.D. from Stanford University in 2017 under the direction of Jun Li. My research interests include enumerative algebraic geometry, modular forms, Hodge theory, and moduli spaces of Calabi-Yau varieties.

Research

• Cycle-valued quasi-modular forms on genus 0 Kontsevich spaces. In preparation.

• Baily-Borel and GIT models for the moduli space of degree 6 K3 surfaces (with R. Laza, Z. Li, F. Si, and Z. Tian). In preparation.

• Nodal elliptic curves on K3 surfaces (with N. Chen and R. Yang). Submitted (2020). [arxiv]

• A Lagrangian sphere which is not a vanishing cycle. Inventiones Mathematicae 219 (2020), 333-343. [arxiv]

• Quasi-modular forms from mixed Noether-Lefschetz theory. Advances in Mathematics 355 (2019), 106765. [arxiv]

• Modular forms from Noether-Lefschetz theory. Algebra & Number Theory 14 (2020), 2335-2368. [arxiv]

• Picard groups on moduli of K3 surfaces with Mukai models (with Z. Li and Z. Tian). International Mathematics Research Notices (2015), 7238-7257. [arxiv]

Teaching

• Spring 2020 - MAT 615: Intersection Theory in Algebraic Geometry. [notes]

• Fall 2019 - MAT 211: Introduction to Linear Algebra.

• Spring 2019 - MAT 211: Introduction to Linear Algebra.

• Fall 2018 - MAT 211: Introduction to Linear Algebra.

• Spring 2018 - MAT 123:  Precalculus.

• Fall 2017 - MAT 126: Calculus B.

Service

• August 2019 - Co-organizer of "Graduate Summer School on the Geometry and Modular Representation Theory of Algebraic Groups." [webpage]

• 2017-18 - Social chair of the Stony Brook Algebraic Geometry seminar. [webpage]