# Jeffrey Hudson Schenker

**Chairperson, Department of Mathematics**

**Professor, Department of Mathematics**

Location: D207 Wells Hall

Phone: 517-884-1518

Email: schenke6@msu.edu

CV: Download CV

## Bio

I am interested in mathematical and theoretical physics and biology. Mathematical physics is a branch of pure mathematics with the aim of deriving rigorous results for equations or models suggested by physical theory. The general goal is to produce mathematical results which illustrate or illuminate the theory; to prove theorems, with consequences for science, based on mathematical structures abstracted from physics. My research has centered on the mathematical study of quantum mechanics and statistical physics, but in recent years I have also worked with entomologists on the application of probabilistic models to problems in field biology. Although these two projects are distinct in many ways, from the stand point of mathematical and theoretical physics, they share a common basic feature: both are inspired by the basic scientific question: “What are the effects of disorder?” This question is relevant to any scientific field, since disorder, dirt and noise are all around us!

## Courses

- MTH 890: Readings in Mathematics

## Selected Publications

- R. Movassagh, J. Schenker, “Theory of Ergodic Quantum Processes,” Phys. Rev. X 11, 041001. arXiv:2004.14397. View Publication
- R. Matos, J. Schenker, “Localization and IDS Regularity in the Disordered Hubbard Model within Hartree-Fock Theory,” Commun. Math. Phys. 382, 1725–1768 (2021). arXiv:1906.10800. View Publication
- J. Schenker, F. Z. Tilocco, S. Zhang, “Diffusion in the mean for a periodic Schrödinger equation perturbed by a fluctuating potential,” Commun. Math. Phys. 377, 1697-1563 (2020), arxiv:1901.06598. View Publication
- R. Peled, J. Schenker, M. Shamis, S. Sodin “On the Wegner N-orbital model,” Int. Math. Res. Not. 2019 (4), 1030-1058 (2019). arxiv.org:1608.02922. View Publication
- F. Klopp, J. Schenker, “On the spatial extent of localized eigenfunctions for random Schrödinger operators,” Commun. Math. Phys. 394, 679–710 (2022). View Publication
- M. Aizenman, R. Peled, J. Schenker, M. Shamis, S. Sodin “Matrix regularizing effects of Gaussian perturbations,” Comm. Cont. Math. (2017). arXiv:1509.01799. View Publication