NU

Office: Lunt 311

Mail:

Calvin


Art


Art


Klein


longpic

Izak Oltman

My name is Izak Oltman. I am currently a Boas Assistant Professor in the math department at Northwestern University. I am a part of the National Science Foundation Research Training Group Dynamics: Classical, Modern, and Quantum.

I am primarily interested in probabilistic problems arising in semiclassical analysis.

I received my PhD from UC Berkeley in 2024 under the supervision of Maciej Zworski.

Here is my CV.

Publications and preprints

  1. The spectrum of the Scottish flag operator (in preparation) with Frédéric Klopp.
  2. Spectrally pathological differential operators subject to small random perturbations (in preparation) with Simon Becker and Martin Vogel.
  3. 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).
  5. Particle trajectories for quantum maps, Annales Henri Poincaré (2023) published online (arXiv: 2210.03224) with Yonah Borns-Weil.
  6. A probabilistic Weyl-law for Berezin-Toeplitz operators, Journal of Spectral Theory, 13 (2023), no. 2, pp. 727-754 (arXiv:2207.09599).
  7. An exotic calculus of Berezin-Toeplitz operators (submitted) (arXiv:2207.09596).

Teaching at Northwestern

  • Fall 2024: Math 228-1 (Multivariable Differential Calculus for Engineering)

Teaching at UC Berkeley

  • 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

  • My thesis.
  • 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.