Welcome to my Webpage!

 

I am a Lecturer in Pure Mathematics at the University of Leeds.

Before, I was a Zeev Nehari visiting assistant professor in the Department of Mathematical Sciences at Carnegie Mellon University, where I worked with Prof. Tomasz Tkocz. During the Fall Semester 2022, I was affiliated with ICERM and Brown University. Between 2020 and 2022 I was a postdoc at Tel Aviv University hosted by Prof. Shiri Artstein-Avidan.

I received 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:  k.b.wyczesany (at) leeds.ac.uk      

Math genealogy

Research Gate

ORCID

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Papers and preprints:

 

• A Renyi entropy interpretation of anti-concentration and noncentral sections of convex bodies
  (with J. Melbourne and T. Tkocz)
  arXiv:2406.04200 (Communications in Contemporary Mathematics (2025))
  
• 60 years of cyclic monotonicity: a survey (with A. Kausamo and L. De Pascale)
  arXiv:2308.07682 (Journal of Convex Analysis volume 32 (2025); 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 (Israel Journal of Mathematics (2025))
  
• Stability of polydisc slicing (with N. Glover and T. Tkocz)
  arXiv:2303.16896 (Mathematika, volume 66 (2023))
  
• A Zoo of Dualities (with S. Artstein-Avidan and S. Sadovsky)
  arXiv:2110.11308 (Journal of Geometric Analysis, volume 33 (2023))
  
• 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 (2022))
  
• A Rockafellar-type theorem for non-traditional costs (with S. Artstein-Avidan and S. Sadovsky)
  arXiv:2011.13263 (Advances in Mathematics, volume 395 (2022))
  
• Corrigendum to “A Rockafellar-type theorem for non-traditional costs” (with S. Artstein-Avidan and S. Sadovsky)
  Advances in Mathematics, 2025
  
• High-dimensional tennis balls (with W. T. Gowers)
  arXiv:1912.10679 (Combinatorial Theory, volume 2 (2022))
  

 

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.