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. My current research program is funded by the NSF award.
* [Ergodic Quantum Processes: Localization, Diffusion, and Steady States (2153946)](https://www.nsf.gov/awardsearch/showAward?AWD_ID=2153946&HistoricalAwards=false)
Selected recent publications related to my current research are listed below. Further publications can be found on the [publications](Publications) page of this website.
* L. Pathirana, J. Schenker, “Law of large numbers and central limit theorem for ergodic quantum processes,” [J. Math. Phys 64, 082201 (2023)](https://doi.org/10.1063/5.0153483). [arXiv:2303.08992](https://arxiv.org/abs/2303.08992)
* R. Movassagh, J. Schenker, “An ergodic theorem for homogeneously distributed quantum channels with applications to matrix product states,” [Commun. Math. Phys. 395, 1174-1196 (2022).](https://doi.org/10.1007/s00220-022-04448-0) [arXiv:1909.11769](https://arxiv.org/abs/1909.11769)
* R. Movassagh, J. Schenker, “Theory of Ergodic Quantum Processes,” [Phys. Rev. X 11, 041001 (2021)](https://link.aps.org/doi/10.1103/PhysRevX.11.041001). [arXiv:2004.14397](https://arxiv.org/abs/2004.14397).
* R. Matos, J. Schenker, “Localization and IDS Regularity in the Disordered Hubbard Model within Hartree-Fock Theory,” [Commun. Math. Phys. 382, 1725–1768 (2021)](https://link.springer.com/article/10.1007/s00220-020-03933-8). [arXiv:1906.10800](https://arxiv.org/abs/1906.10800).
#### [Research Group](https://apps.math.msu.edu/PageSpace/pb/jeffrey-schenker/ResearchGroup)
#### [Publications](https://apps.math.msu.edu/PageSpace/pb/jeffrey-schenker/Publications)
#### [articles on arXiv](https://arxiv.org/a/schenker_j_1.html)
#### [Google Scholar](https://scholar.google.com/citations?hl=en&authuser=1&user=ONHKn9sAAAAJ)
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[](https://www.nsf.gov/) Work supported by the National Science Foundation. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.