Justin Toyota

Email: jtoyota[at]utexas[dot]edu
Office: PMA 10.134

I'm a fourth year PhD student in Mathematics at the University of Texas at Austin. My advisor is Nataša Pavlović.

CV (updated 2026-08-13)

Picture of me

Research Interests

My research is focused on kinetic theory, particularly collisional models (Boltzmann, Landau) and their ternary variants. I am also interested in real harmonic analysis and its applications to PDEs.


Papers

From the quantum Boltzmann operator to the quantum Landau operator
with Maria Pia Gualdani, Nataša Pavlović, Dominic Wynter
Submitted [arxiv]


Other Activities

I am currently the organizer for UT Austin's Junior Analysis Seminar (JAnal). I also volunteer at the Sunday Morning Math Group (SMMG).