Differential equations, dynamics, optics, uncertainty quantification, approximation theory, numerical analysis, and mathematical analysis.
Amir received his B.Sc. in Mathematics and Physics from the Hebrew University of Jerusalem (2009), and later proceeded for an M.Sc. (2016) and Ph.D. (2019) in Applied Mathematics at Tel Aviv University. In his Ph.D., Amir studied random and chaotic dynamics in nonlinear optics, and developed new numerical approach to uncertainty-quantification.
I) Loss of phase and universality of stochastic interactions between laser beam, Optics Express 25, 24387-24399, 2017 (with Adi Ditkowski and Gadi Fibich).
II) Density estimation in uncertainty propagation problems using a surrogate model, arXiv:1803.10991 (with Adi Ditkowski and Gadi Fibich).
Dr. Sagiv's ful publication list is available at: http://www.columbia.