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

Here is my cv.

This semester I am co-organizing the Harmonic Analysis and Differential Equations Seminar (HADES) with Ely Sandine, Ovidiu Avadanei, and Ben Pineau.

During the Spring of 2023, I co-organized HADES with Zhongkai Tao.

During the Fall of 2022, I organized a seminar on semi-classical analysis.

- The spectrum of the Scottish flag operator (
*in preparation*) with Frédéric Klopp. - Instability of magic angles in twisted bilayer graphene (
*in preparation*) with Simon Becker and Martin Vogel. - Spectrally pathological differential operators subject to small random perturbations (
*in preparation*) with Simon Becker and Martin Vogel. - Magic angle (in)stability and mobility edges in disordered Chern insulators (arXiv: 2309:02701) with Simon Becker and Martin Vogel (
*submitted*). - Particle trajectories for quantum maps (to appear in
**Annales Henri PoincarĂ©**) (arXiv: 2210.03224) with Yonah Borns-Weil. - A probabilistic Weyl-law for Berezin-Toeplitz operators,
**Journal of Spectral Theory**, 13 (2023), no. 2, pp. 727-754 (arXiv:2207.09599). - 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.

From 2020 - 2022 I was an officer of the Mathematics Graduate Student Association (MGSA) at UC Berkeley.

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

I have crocheted a number of mathematical surfaces which can be seen here.

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.