## Amir Sagiv

I am a Term Assistant Professor at the Department of Applied Physics and Applied Mathematics in Columbia University, working under the mentorship of Michael Weinstein.

In 2019, I completed my Ph.D. in Applied Mathematics in Tel Aviv University's School of Mathematical Sciences, under the supervision of Gadi Fibich and Adi Ditkowski. I obtained my M.Sc. in Mathematics at Tel Aviv University, and my B.Sc. in Mathematics and Physics at the Hebrew University of Jerusalem.

I am interested in two main areas - (1) Waves and modelling of optical phenomena, and (2) Uncertainty quantification and statistical problems in physical systems.

See my CV here.

**Contact:**

as6011@columbia.edu

+1-212-854-1640

500 W 120th Street,

Engineering Terrace 284A (access via Mudd Building)

Bibliography

- (with Michael I. Weinstein)

Effective gaps in continuous Floquet Hamiltonians

arxiv 2105.00958. - Spectral convergence of probability densities for forward problems in uncertainty quantification

arxiv 2101.07395. - (with Ofir Lindenbaum, Gal Mishne, and Ronen Talmon)

Kernel-based parameter estimation of dynamical systems with unknown observation functions,

**Chaos**31, 043118, 2021. arxiv. - (with Stefan Steinerberger)

Transport and interface: an uncertainty principle for the Wasserstein distance,

**SIAM Journal on Mathematical Analysis**, 52, 3039-3051, 2020. arxiv. - (with Gadi Fibich, Adi Ditkowski, and Roy Goodman)

Loss of physical reversibility in reversible systems,

**Physica D**, 410, 132515, 2020. arxiv. - The Wasserstein distances between pushed-forward
measures with applications to uncertainty quantification,

**Communications in Mathematical Sciences**, 18, 707-724, 2020. arxiv. - (with Gadi Fibich and Adi Ditkowski)

Density estimation in uncertainty propagation problems using a surrogate model,

**SIAM/ASA Journal on Uncertainty Quantification,**8, 261-300, 2020. arxiv. - (with Patwardhan, Gao, Dutt, Ginsberg, Fibich, Ditkowski, and Gaeta)

Loss of polarization of elliptically polarized collapsing beams,

**Physical Review A**99, 033824, 2019. arxiv - (with Gadi Fibich and Adi Ditkowski)

Loss of phase and universality of stochastic interactions between laser beam,

**Optics Express**25, 24387-24399, 2017. arxiv

- MIT, ACDL seminar, 9/24/21.
- CU Boulder, Nonlinear Waves seminar (online), 10/26/21.
- Texas A&M, Double feature: Mathematical Physics + Data Science seminars, 10/14-15/21.
- University of Illinois at Urbana-Champaigne, PDEs seminar, 11/2/21.
- University of Chicago, CCAM seminar, 11/4/21.
- SIAM UQ22, Atlanta, GA, 4/12-15/22.

- Local and Global Perspectives on Uncertainty Quantification, given at the IMA Data Science seminar, Jan. 2021.
- Effective Gaps in Floquet Hamiltonians, given for a Spectral Theory Workshop in TU Dortmund, July 2021.
- Learning Model Parameters with an Unknown Observation Function, recorded for a workshop in the Fields Institute, Sept. 2020.
- Reversibility Loss and Phase Loss in Nonlinear Optics, given in One World Waves seminar, June 2020.