Welcome to the site of,

Jakub Woźnicki.

I am an academic interested in partial differential equations. Currently a PhD student at the University of Warsaw and Polish Academy of Sciences.

CV

About Me

My journey in mathematics began at the IV High School in Toruń, Poland, where I first discovered a deeper fascination with the subject through my involvement in the Mathematical Olympiad. This early spark led me to pursue both a Bachelor’s and Master’s degree in Mathematics at the University of Warsaw, where I graduated with honors. During my master’s studies, I took part in the Erasmus+ program and spent a summer semester in Bonn, Germany, enriching my academic experience in an international setting. Currently, I am continuing this path as a PhD student at the Doctoral School of Exact and Natural Sciences, a joint program between the University of Warsaw and the Polish Academy of Sciences.

My current academic interests in the field of Partial Differential Equations include:

  1. Non-Newtonian fluids with general stress tensors (electrorheological fluids, viscoelastic fluids, etc.)
  2. Measure or measure-valued solutions
  3. Hydrodynamical limits
  4. Cell growth models
  5. Non-local PDEs
  6. Kinetic models with connection to fluid models

Experience

PhD student - UW and PAN
Oct 2022 - present
I am currently a PhD student working under the supervision of professor Piotr Gwiazda from Polish Academy of Sciences. During the work I had a pleasure to visit the scientists in Czechia, Germany, and The United Kingdom, such as Miroslav Bulicek, Endre Suli, Emil Wiedemann, Ewelina Zatorska.
Hopefully more to come - TBD
soon

Education

2022 - present
PhD in Mathematics
University of Warsaw, Polish Academy of Scienes, Warsaw, Poland
During my PhD studies I was able to publish three peer-reviewed papers and five more as pre-prints. My work mostly focused on the theory of non-Newtonian fluids: PDEs with non-standard growth, viscoelastic fluids, but I also had an opportunity to work on vanishing viscosity limit from Navier-Stokes to Euler equations, Euler alignment equations, and cell growth models.
2020 - 2022
Master's degree in Mathematics
University of Warsaw, Warsaw, Poland
GPA: 4.96 out of 5.0
During my Master’s I have mostly focused on the research work. I was able to publish one paper, and submit one as a pre-print. My thesis was a combination of both papers and focused on the existence of measure solutions to a particular equation describing non-homogeneous, non-Newtonian fluids, as well as the high-friction limit of measure-valued solutions to strong solutions of certain limiting systems via a relative entropy method.
2017 - 2020
Bachelor of Science in Mathematics
University of Warsaw, Warsaw, Poland
GPA: 4.78 out of 5.0
During my Bachelor’s I have completed many mandatory courses such as four courses in Mathematical Analysis, Algebra, Topology etc., as well as extracurricular ones such as Introduction to PDE’s or Functional Analysis. I have written my thesis on the use of Young measures in evolutionary PDEs. This thesis resulted in the publication of my first single author paper during my Master’s.