Welcome to my Webpage!
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      
|
Papers and preprints:
- ''60 years of cyclic monotonicity: a survey'' (with A. Kausamo, L. De Pascale)
arXiv:2308.07682 (to appear in the JCA special issue in honor of R.T. Rockafellar)
- ''A Sharp Gaussian Tail Bound for Sums of Uniforms'' (with X. He and T. Tkocz)
arXiv:2305.06235 (to appear in the Israel Journal of Mathematics)
- ''Stability of polydisc slicing'' (with N. Glover and T. Tkocz)
arXiv:2303.16896 (Mathematika, volume 66)
- ''A Zoo of Dualities'' (with S. Artstein-Avidan and S. Sadovsky)
arXiv:2110.11308 (Journal of Geometric Analysis, volume 33) - ''A counterexample to a strengthening of a question of V. D. Milman'' (with W. T. Gowers)
arXiv:2110.03023 ( Annales Henri Lebesgue, volume 6 (2023), pp. 427-448.) - ''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:
- A note on my research on mathinstitutes.org titled "Optimal Transport and a Unified Perspective on Set Dualities" available
here.
- A short article about my research featured in
ICERM's Newsletter (Spring 2023, p. 12) titled "A unified perspective on Set Dualities" can be found
here.
- An Oberwolfach Report No. 59/2021 for "Convex Geometry and its Applications" meeting is available
here.