My name is Izak Oltman. I am an NSF Graduate Research Fellow and a fourth-year math graduate student at UC Berkeley studying analysis. My advisor is Maciej Zworski.

This semester, I am co-organizing the Harmonic Analysis and Differential Equations Seminar with Zhongkai Tao.

In Fall 2022, I organized a seminar on semi-classical analysis.

- Particle trajectories for quantum maps (
*submitted*) (arXiv: 2210.03224) with Yonah Borns-Weil - A probabilistic Weyl-law for Berezin-Toeplitz operators (
*submitted*) (arXiv:2207.09599) - Relevant animations
- Figures from talk at Great Lakes Mathematical Physics Meeting (Michigan State University)
- Poster presented at Mathematical Challenges in Quantum Mechanics (Como, Italy)
- Poster presented at Probability and Mathematical Physics (Helsinki, Finland)
- An exotic calculus of Berezin-Toeplitz operators (
*submitted*) (arXiv:2207.09596)

- Spring 2021: Math 128a (Numerical Analysis)
- Fall 2020: Math 16a (Calculus and Analytic Geometry)
- Summer 2020: Stat 134 (Concepts of Probability)
- Spring 2020: Math 53 (Multivariable Calculus)
- Fall 2019: Math 54 (Linear Algebra and Differential Equations)

- Qualifying Exam Study Guide. This is a document I wrote to study for my qualifying exam that is riddled with typos and incomplete sections. It may be a helpful reference to others studying the subjects.
- REU report on microfluidic device design completed at the University of California, Los Angeles (2018)

I passed my qualifying exam on April 12th, 2021. Here is my syllabus.

I am an officer of the Mathematics Graduate Student Association (MGSA) at UC Berkeley

I also enjoy running, hiking, climbing, and playing violin

I believe I hold the current course record for 1600m at the Hearst Mining Circle: ~~ 5:33 ~~, ~~ 5:23~~, 5:00.5.

**Difficult Exam**: link