Michael Hott

I am currently a first-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: mhott [at] math.utexas.edu

Publications

  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.

  • PDE 2 held by Nataša Pavlović in Spring 2017
  • PDE 1 held by Alexis Vasseur in Fall 2017 (still in progress)
  • Mathematical Physics held by Thomas Chen in Fall 2017 (still in progress)
  • Application of QFT to Geometry held by Andy Neitzke in Fall 2017 (still in progress)
  • 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.
  • Derivation of the NLS: This is a beamer presentation for my work on BEC.