Photo credit: Henry Baring

Jack Petok
Guest Researcher, HIM Bonn
and
Lecturer
Department of Mathematics
Dartmouth College


Contact Information
Office: Kemeny 320
E-mail: firstname (dot) lastname (at) dartmouth (dot) edu
Mailing address: Department of Mathematics, 27 N Main St, 6188 Kemeny Hall , Hanover, NH 03755


Curriculum Vitae  

In Fall 2023, I am based in at the Hausdorff Research Institute for Mathematics in Bonn, Germany as a participant in the Junior Trimester Program in Algebraic Geometry. I am also a postdoc at Dartmouth College in Hanover, New Hampshire, working under the supervision of Asher Auel. I was a PhD student of Anthony Várilly-Alvarado.

I am co-organizing the STReTCH seminar at Bonn this term 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. (preprint, with A. Auel, A. Kulkarni, J. Weinbaum). Associated code.

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

Rational points on modular curves of composite level (preprint, with C. Camacho, W. Li, J. Morrow, D. Zureick-Brown).

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


Teaching 

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

Math 3 -Calculus - Winter 2023 - Dartmouth

Math 9 -Multivariable Calculus with Linear Algebra- Fall 2022 - Dartmouth

Math 11 -Accelerated Multivariable Calculus - Fall 2022 - Dartmouth

Math 8 -Calculus of One and Several Variables - Spring 2022 - Dartmouth

Math 81 - Galois Theory - Winter 2022 - Dartmouth

Math 31 - Topics in Algebra - Fall 2021 - Dartmouth

Math 25 - Number Theory - Fall 2021 - Dartmouth

Math 22 - Linear Algebra - Spring 2021 - Dartmouth

Math 8 - Calculus of One and Several Variables - Winter 2021 - Dartmouth

Math 22 - Fall 2020 - Linear Algebra - Dartmouth

Math 8 - Calculus of One and Several Variables - Fall 2020 - Dartmouth

Math 365 - Number Theory - Summer 2020 - Rice

Math 355 - Linear Algebra - Summer 2018 - Rice

Math 211 - Linear Algebra and Differential Equations Fall 2017 - Rice


Old stuff

Some random incomplete notes that some people have occasionally found useful.


Fun stuff Some non-mathematical activities that I enjoy: cooking, singing, hiking, biking, and skiing.


Links 

Math Department Home Page