Jack Petok

Photo credit: Henry Baring

Jack Petok
Visiting Assistant Professor
Department of Mathematics
Colby College

Contact Information
Office: Lovejoy 108
E-mail: jpetok (at) colby (dot) edu
Mailing address: Department of Mathematics, 4000 Mayflower Hill, Waterville , ME 04901

Curriculum Vitae

I am a Visiting Assistant Professor at Colby College in Waterville, Maine. From 2020-2024, I was based at Dartmouth College, working under the supervision of Asher Auel. In Fall 2023, I was a visitor at the Hausdorff Research Institute for Mathematics in Bonn, Germany as a participant in the Junior Trimester Program in Algebraic Geometry. I received my PhD in 2020 under the supervision of Anthony Várilly-Alvarado.

In Fall 2023, I co-organizined the STReTCH seminar in Bonn with Xuqiang Qin.

Research Interests
General interests: Algebraic Geometry, Arithmetic Geometry, Number Theory

Specific interests: Hyperkähler varieties, cubic fourfolds, K3 surfaces, moduli spaces of these varieties, geometry over nonclosed fields, rational points

Papers

Kodaira dimension of moduli of special K3^[2]-fourfolds of degree 2 (2023, in Journal des Mathématiques Pures et Appliquées). Associated code. Journal version.

A census of cubic fourfolds over F2. (to appear in Mathematics of Computation, with Asher Auel, Avinash Kulkarni, Jonah Weinbaum). Associated code.

On decompositions for Fano schemes of intersections of two quadrics (submitted, with Pieter Belmans, Jishnu Bose, Sarah Frei, Benjamin Gould, James Hotchkiss, Alicia Lamarche, Cristian Rodriguez Avila, Saket Shah).

Zeta functions of K3 categories over finite fields (preprint, with Asher Auel ).

Rational points on modular curves of composite level (preprint, with Catalina Camacho Navarro, Wanlin Li, Jackson Morrow, David Zureick-Brown).

Sections of quadric fourfold bundles over surfaces (with Asher Auel ). In preparation.

Teaching

Math 160 - Series and Multivariable Calculus - Fall 2024 - Colby

Math 130 - Calculus I Revisited - Fall 2024 - Colby

Math 8 -Calculus of One and Several Variables - Spring 2023 - Dartmouth

Math 3 -Calculus - Winter 2023 - Dartmouth