## Amir Sagiv

I am a Research Scientist at the Department of Applied Physics and Applied Mathematics in Columbia University, working under the mentorship of Michael Weinstein, and where I have been a term Assistant Professor between 2019-2022.

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 (1) Waves and Partial Differential equations, especially as models of quantum and optical phenomena, (2) Uncertainty quantification and statistical problems in physical systems, and (3) Optimal Transport.

See my CV here.

Starting Fall 2023, I will be an assistant professor at the Technion's mathematics department.

**I am co-organizing a workshop title Mathematical Aspects of Condensed Matter Physics at ETH Zurich on July 17-21. Registration is open! **

**Contact:**

as6011@columbia.edu

+1-212-854-1640

500 W 120th Street,

Engineering Terrace 287A (access via Mudd Building)

Bibliography

- (with Michael I. Weinstein)

Near invariance of quasi-energy spectrum of Floquet Hamiltonians

arxiv 2304.10685. - (with Ricardo Baptista, Bamdad Hosseini, Nik Kovachki, and Youssef Marzouk)

An Approximation Theory Framework for Measure-Transport Sampling Algorithms

arxiv 2302.13965. - (with Sameh N. Hameedi and Michael I. Weinstein)

Radiative decay of edge states in Floquet media

arxiv 2201.11219.

To appear in**SIAM Multiscale Modeling and Simulation.** - (with Qiang Du)

Minimizing optimal transport for functions with fixed-size nodal sets

arxiv 2110.14837. - Spectral convergence of probability densities for forward problems in uncertainty quantification,

**Numerische Mathematik**, 150, 1165-1186, 2022. arxiv. - (with Michael I. Weinstein)

Effective gaps in continuous Floquet Hamiltonians,

**SIAM Journal on Mathematical Analysis**54, 986-1021, 2022. arxiv. - (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

- The 87th Midwest PDE Seminar, Notre Dame University, South Bend IN 5/5-7/23.
- Applied Mathematics Seminar, UC Santa Barbara, 5/26/23.
- Mathematics of Data Seminar, UC San Diego, 6/1/23.
- Mathematical Aspects of Condensed Matter Physics, ETH, Zurich 07/17-21/23.
- Mathematical Physics Seminar, Michigan State University, 9/13/23.

- 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.