Office: 1049 Evans
Mail: Izak (at) math (dot) berkeley (dot) edu
Izak Oltman
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.
Publications and preprints
- 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 Poincaré) (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).
Teaching
- 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)
Other math writing
- 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).
Misc
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.