Ph.D. Student

Department of Mathematics

Rice University

**Contact Information**

Office: Basement Office 36, Herman Brown Hall

E-mail: petok (at) rice (dot) edu

Mailing address: Department of Mathematics, MS-136, Rice University, Houston, TX 77005

I graduated with a B.S. in mathematics from Stanford University in June 2015. Currently, I am a first year PhD student at Rice. I passed my qualfying exams in January 2016.

**Research Interests**

Algebraic Geometry, Number Theory, Arithmetic Geometry

**Notes**

These notes are live-Texed, and as such, errors are rife. Please email me with corrections, mathematical or typographical.

- Math 567 - Topics in Algebraic Geometry: Modular Curves (Taught by Richard Shadrach, Fall 2015).
- Math 539: Geometric Topology (Taught by Andrew Putman, Fall 2015).
- Borel subgroups and parabolic subgroups

Here are some more miscellaneous notes, usually from talks I gave at some point, and some are just random writings.

**Teaching**

Math 102 - Calculus II (Teaching Assistant)-Fall 2015

Here is a mock syallabus for a "teaching seminar", where new graduate students practice their skills at course design and lecturing

**Links**