Izak Oltman

My website has moved here!

Publications and preprints

7. The spectrum of the Scottish flag operator (in preparation) with Frédéric Klopp.
6. Spectrally pathological differential operators subject to small random perturbations (in preparation) with Simon Becker and Martin Vogel.
5. Absence of small magic angles for disordered tunneling potentials in twisted bilayer graphene (arXiv: 2302:12799) with Simon Becker and Martin Vogel (submitted).
4. Magic angle (in)stability and mobility edges in disordered Chern insulators (arXiv: 2309:02701) with Simon Becker and Martin Vogel (submitted).
3. Particle trajectories for quantum maps, Annales Henri Poincaré (2023) published online (arXiv: 2210.03224) with Yonah Borns-Weil.
• Relevant numerics.
2. A probabilistic Weyl-law for Berezin-Toeplitz operators, Journal of Spectral Theory, 13 (2023), no. 2, pp. 727-754 (arXiv:2207.09599).
• Relevant numerics.
• Poster presented at Probability and Mathematical Physics (Helsinki, Finland).
1. 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.

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.