Jacek Cyranka http://ww2.ii.uj.edu.pl/~cyranka/img/Jacek_Cyranka.JPG

Jacek Cyranka

postdoc in mathematical sciences

skype: jdzako
tel: +1 (848) 228 1824
office: 269, Hill center
current affiliation:
Rutgers -- The State University of New Jersey, Department of Mathematics, Hill Center-Busch Campus
and (on leave)
, Poland, Jagiellonian University, Department of Mathematics and Computer Science
Division of Computational Mathematics

Research statement

I have been working on

  • Topological methods analysis of data from convection flow simulations/experiments.
  • Topological data analysis
  • Persistence homology
  • Computer assisted proofs for dissipative partial differential equations.
  • Efficient algorithms dedicated (mostly) for rigorous integration of partial differential equations.
  • Nonuniqueness in fluid dynamics models
  • Various algorithms and numerical methods.
  • Navier-Stokes equations.
I am especially interested in
  • Partial Differential Equations
  • Fluid dynamics
  • Numerical Methods
  • Application of PDEs to other fields (e.g. biology, image processing etc.)