Michael Hott

I am currently a second-year mathematics graduate student at UT Austin. My research interests lie in Mathematical Physics and Analysis.

Office: RLM 12.120
Office hours: By appointment
E-mail: michael.hott [at] math.utexas.edu

"Alles was überhaupt gedacht werden kann, kann klar gedacht werden. Alles was sich aussprechen läßt, läßt sich klar aussprechen." Translation: "What can be thought at all, can be thought clearly. What can be said, can be said clearly." - Ludwig Wittgenstein, Tractatus logico-philosophicus 4.116

"I think I can safely say that nobody understands quantum mechanics." - Richard P. Feynman, “Probability and Uncertainty — the Quantum Mechanical View of Nature,” chapter 6, p. 129


  1. "Derivation of the Hartree equation for compound Bose gases in the mean field limit", joint work with Ioannis Anapolitanos and Dirk Hundertmark, Rev. Math. Phys. 29, 1750022 (2017).
  2. "A simple proof of convergence to the Hartree dynamics in Sobolev trace norms", joint work with Ioannis Anapolitanos, Journal of Mathematical Physics 57.12: 122108 (2016).
  3. "Asymptotic behavior of the ground state energy of a Fermionic Froehlich multipolaron in the strong coupling limit", joint work with Ioannis Anapolitanos, arXiv preprint: arXiv:1601.05272 (2016).

Selected Lecture notes

Here you can find a selection of handwritten notes I took for some of my classes. These notes are not complete and I sometimes paraphrased, shortened or changed parts of the notes. Personal comments are written in grey.

  • Diffusion processes held by Luis Caffarelli in Spring 2018 (still in progress)
  • Mathematical Physics held by Thomas Chen in Fall 2017
  • PDE 1 held by Alexis Vasseur in Fall 2017
  • PDE 2 held by Nataša Pavlović in Spring 2017
  • Application of QFT to Geometry held by Andy Neitzke in Fall 2017
  • Additional material

    Over the years, I gave seminar talks on several topics where I worked out the details of some papers. The notes and slides may contain minor mistakes but should provide the general idea.

  • Positive part of Onsager's conjecture based on this paper by Cheskidov, Constantin, Friedlander, Shvydkoy.
  • Derivation of the Quantum Boltzmann equation based on this paper by Erdős, Salmhofer, Yau.
  • Geometric topology based on this paper by Lewin.
  • Stability of materials under the influence of periodic potentials


  • My bachelor's thesis at KIT under supervision of D. Hundertmark and J. Schmalian
  • My master's thesis at KIT under supervision of D. Hundertmark and J. Schmalian