Welcome to my Webpage!

 

 

I am a postdoctoral fellow affiliated with Carnegie Mellon University.

During the Fall Semester 2022, I was affiliated with ICERM and Brown 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 research interests include Asymptotic Geometric Analysis, Convex Geometry and aspects of Optimal Transport Theory. 

email:   kwycz (at) cmu.edu       [ or kasiawycz (at) outlook.com ]

Math genealogy

Research Gate

ORCID

mathscinet

Google Scholar

teaching in spring 2023

 

 

Papers and preprints:

 

• ''A Zoo of Dualities'' (with S. Artstein-Avidan and S. Sadovsky)
  arXiv:2110.11308 (submitted)
  
• ''A counterexample to a strengthening of a question of V. Milman'' (with W. T. Gowers)
  arXiv:2110.03023 (to appear in the Annales Henri Lebesgue)
  
• ''Optimal measure transportation with respect to non-traditional costs'' (with S. Artstein-Avidan and S. Sadovsky)
  arXiv:2104.04838 (Calculus of Variations and Partial Differential Equations, volume 62)
  
• ''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)
  

 

PhD Thesis:

 

• My PhD thesis titled "Topics in high-dimensional geometry and optimal transport" can be found here.

 

See also:

 

• An Oberwolfach Report No. 59/2021 for "Convex Geometry and its Applications" meeting is available here.
  
• A note on my research titled "Optimal Transport and a Unified Perspective on Set Dualities" available here.