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 ]
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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.