Welcome to my Webpage!

 

 

During the Fall Semester 2022, I am a postdoctoral fellow affiliated with ICERM and Brown University. From January 2023, I will be affiliated with Carnegie Mellon University.

Before, I was a postdoc at  Tel Aviv University hosted by Prof. Shiri Artstein-Avidan. I obtained my PhD degree in 2021 from the University of Cambridge, where I worked under the supervision of Prof. Timothy Gowers. (My PhD thesis entitled "Topics in high-dimensional geometry and optimal transport" can be found here).

My research interests include Asymptotic Geometric Analysis, Convex Geometry and aspects of Optimal Transport Theory. 

email:  kasiawycz (at) outlook.com

 

Papers and preprints:

 

• ''A Zoo of Dualities’’ (with S. Artstein-Avidan and S. Sadovsky)
  arXiv:2110.11308
  
• ''A counterexample to a strengthening of a question of Milman’’ (with W. T. Gowers)
  arXiv:2110.03023 (submitted)
  
• "Optimal measure transportation with respect to non-traditional costs’’ (with S. Artstein-Avidan and S. Sadovsky)
  arXiv:2104.04838 (submitted)
  
• "A Rockafellar-type theorem for non-traditional costs’’ (with S. Artstein-Avidan and S. Sadovsky)
  arXiv:2011.13263 (Advances in Mathematics, volume 395)
  
• "High-dimensional tennis balls’’ (with W. T. Gowers)
  arXiv:1912.10679 (Combinatorial Theory, volume 2)