Jacob Shapiro's Homepage at the Physics Department of Princeton University
About
I am currently a Lecturer at the physics department working in the mathematical physics group of Prof. M. Aizenman. From January 2020 until August 2021 I was an SNSF postdoctoral fellow in that same group. From October 2018 until December 2019 I was a postdoctoral fellow with Prof. M. I. Weinstein. I did my PhD in mathematical physics with Prof. G. M. Graf and graduated in September 2018. From July 2022 I will be an assistant professor at the Princeton University math department.
Here is my CV.
Contact
Please e-mail me at jacobshapiro@princeton.edu.
Research
My main research interest is mathematical physics. Specifically, I work on problems from condensed matter physics and statistical mechanics using probability, functional analysis and algebraic topology.
Articles
orcid.org/0000-0003-0732-393X
- Depinning in the integer-valued Gaussian field and the BKT phase of the 2D Villain model
Michael Aizenman, Matan Harel, Ron Peled, Jacob Shapiro
arXiv:2110.09498.
- Fredholm homotopies for strongly-disordered 2D insulators
Alex Bols, Jeffrey Schenker, Jacob Shapiro
arXiv:2110.07068.
- Incomplete localization for disordered chiral strips
Jacob Shapiro
arXiv:2108.10978.
- Is the continuum SSH model topological?
Jacob Shapiro and Michael I. Weinstein
arXiv:2107.09146.
- Tight-binding reduction and topological equivalence in strong magnetic fields
Jacob Shapiro and Michael I. Weinstein
Advances in Mathematics Volume 403, 16 July 2022, 108343; arXiv:2010.12097.
- Lower bound on quantum tunneling for strong magnetic fields
Charles L. Fefferman, Jacob Shapiro and Michael I. Weinstein
SIAM Journal on Mathematical Analysis 54 (1), 1105-1130; arXiv:2006.08025.
- Two-dimensional time-reversal-invariant topological insulators via Fredholm theory
Eli Fonseca, Jacob Shapiro, Ahmed Sheta, Angela Wang and Kohtaro Yamakawa
Mathematical Physics, Analysis and Geometry (2020) 23(29); arXiv:1908.00910.
- The topology of mobility-gapped insulators
Jacob Shapiro
Letters in Mathematical Physics (2020); arXiv:1811.07997.
- Strongly disordered Floquet topological systems
Jacob Shapiro and Clement Tauber
Annales Henri Poincaré (2019) 20(6), 1837-1875; arXiv:1807.033251.
- The bulk-edge correspondence for disordered chiral chains
Gian Michele Graf and Jacob Shapiro
Commun. Math. Phys. (2018) 363: 829.; arXiv:1801.09487.
- The bulk-edge correspondence in three simple cases
Jacob Shapiro
Rev. Math. Phys.; arXiv:1710.10649.
Manuscripts
Presentations
Teaching