Ioakeim Ampatzoglou
ioakampa at cims.nyu.edu

I am an Assistant Professor/ Courant Instructor and Simons Research Fellow on Wave Turbulence at the Courant Institute of Mathematical Sciences, New York University.

I completed my Ph.D. in Mathematics at The University of Texas at Austin, under the supervision of Prof. Nataša Pavlović.

Please find a more detailed CV here.   

In my spare time I enjoy traveling and photographing landscapes/nature.

Research

My research interests lie around the intersection of Analysis and Mathematical Physics. In particular, I am interested in kinetic equations, wave turbulence and more generally in the broad field nonlinear evolutionary PDEs. My current focus is the derivation of kinetic equations from classical or quantum systems of particles and the study of their behavior under time evolution.

Publications-Preprints
  • I. Ampatzoglou, M. Tasković, Generation and propagation of exponential moments for the binary-ternary Boltzmann equation, in preparation
  • I. Ampatzoglou, J.K. Miller N. Pavlović, A rigorous derivation of a Boltzmann system for a mixture of hard spheres gases, in preparation
  • I. Ampatzoglou, N. Pavlović, Rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres", (2020) (arXiv)
  • I. Ampatzoglou, Higher order extensions of the Boltzmann equation, Ph.D. Dissertation, UT Austin (2020)
  • I. Ampatzoglou, I.M. Gamba, N. Pavlović, M. Tascović, Global well-posedness for the binary-ternary Boltzmann equation, submitted for publication (2019) (arXiv)
  • I. Ampatzoglou, N. Pavlović, Rigorous derivation of a ternary Boltzmann equation for a classical system of particles, submitted for publication (2019) (arXiv)
  • I. Ampatzoglou, On the non-embedding of ℓ1 in the James Tree Space, Exp. Math. 38, No.1, pp 112-130 (2020) (arXiv)