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.

Contact:
as6011@columbia.edu
+1-212-854-1640
500 W 120th Street,
Engineering Terrace 284A (access via Mudd Building)

Bibliography

(with Sameh N. Hameedi and Michael I. Weinstein)
Radiative decay of edge states in Floquet media
arxiv 2201.11219.

(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

Upcoming Talks and Conferences

PIMS Summer School on Optimal Transport, Seattle, WA, 6/19-7/1.

SIAM Annual Meeting, Pittsburgh, PA, 7/11-7/15.

Applied and Computational Mathematics seminar, University of Minnesota, 11/14.

Videos

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.