Ioakeim Ampatzoglou
ioakampa at math.utexas.edu

I am a fifth year Ph.D. Candidate in Mathematics at the University of Texas at Austin,working in Kinetic Equations and Mathematical Physics. I have the luck to be advised by Prof. Nataša Pavlović.

Before graduate school, I received my Diploma in Electrical and Computer Engineering from the National Technical University of Athens, Greece, where I completed my diploma thesis "The James and James Tree Spaces " under the guidance of Prof. Spyridon Argyros.

Please find a more detailed CV here.   

Research

My research interests lie around the intersection of Analysis and Mathematical Physics. In particular, I am interested in kinetic equations and nonlinear evolutionary PDEs. My current focus is the derivation of kinetic equations from classical or quantum systems of particles and their connection with fluid mechanics.

Publications-Preprints
  • I. Ampatzoglou, I. Gamba, N. Pavlović, M. Tascović, "Global well-posedness for the binary-ternary Boltzmann equation", in preparation.
  • I. Ampatzoglou, N. Pavlović, "A rigorous derivation of a binary-ternary Boltzmann equation for a dense gas of hard spheres", in preparation.
  • I. Ampatzoglou, N. Pavlović, "A 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" , Expositiones Mathematicae (2019). 10.1016/j.exmath.2018.12.002, arXiv