Yulia Petrova

Yulia Petrova

Assistant Professor at IME-USP

IME-USP

About

I am an Assistant Professor at the Institute of Mathematics and Statistics at University of São Paulo (IME-USP, Brazil). Broadly speaking, my research interests include PDEs and their applications to different fields: probability theory, fluid dynamics and solving real-world problems.

During 2023-2025 I was an Assistant Professor at the Department of Mathematics at PUC-Rio, Rio de Janeiro. During 2021-2023 I did my postdoc at Fluid dynamics Laboratory at IMPA, Rio de Janeiro, and my mentor is Dan Marchesin. During 2018-2021 I was a researcher at Chebyshev Laboratory of Mathematics & Computer Science department of St. Petersburg State University involved in the lab’s collaboration with petroleum company GazpromNeft.

I did my PhD under the supervision of Prof. Alexander Nazarov at the junction of probability theory and spectral theory. For the Russian version of PhD thesis see the link.

Interests
  • PDEs
  • Conservation laws
  • Viscous fingering phenomenon
  • Gaussian processes
  • Small ball probabilities
Education
  • PhD in Probability Theory, 2018

    St. Petersburg State University, Russia

  • Specialist in Mathematical Physics, 2013

    St. Petersburg State University, Russia