Hello! שלום! Привет!

I am a Courant Instructor and a Simons postdoctoral fellow in Wave Turbulence at the Courant Institute of Mathematical Sciences, New York University.

My research connects computational mathematics, scientific machine learning, and mathematical analysis to understand turbulence and nonlinear waves, with a focus on surface and internal gravity waves.

It is organized around two complementary programs:

1. Program I: AI-assisted discovery and rigorous numerics for nonlinear PDEs

   1. Rigorously certified neural-network computation of nonlinear water waves at near-machine precision

2. Program II: From physical observations to mathematical theory

   1. Weak turbulence of 2D internal inertia–gravity waves
   2. Space resonances in the spatio-temporal spectrum of water waves
   3. Well-posedness of the Leith model around the turbulent solution

Here is a minimal script (python) for converting a video into its spatio-temporal spectrum.

A friendly reading of finite-time blow-up: Alpöge–Buckmaster (Boussinesq) and OpenAI (Navier–Stokes)
My exposition and reconstruction of the arguments behind these recent finite-time blow-up constructions. These notes may contain mistakes; comments and corrections are welcome.

My reserach is supported by Schmidt Sciences and by a Postdoctoral Career Development Award in Science from the Weizmann Institute.

I completed my PhD in theoretical physics at the Weizmann Institute of Science under Prof. Gregory Falkovich, sponsored by the Ariane de Rothschild Women’s Doctoral Program. I completed an MSc in High Energy Physics under Profs. Yosef Nir and Kfir Blum, and a BSc in Mathematics with the Technion Excellence Program.

I am married to Daniel Halperin.

** This website is under construction **