daniel.fresen@up.ac.za


Lecturer, Mathematics, University of Pretoria



PhD, University of Missouri, 2012. Gibbs Assistant Professor, Yale, 2012-2015. Postdoc, Weizmann Institute of Science, 2015-2016.


Probability and high dimensional geometry

  • The floating body and the hyperplane conjecture. Arch. Math. (Basel) 98 (4), 389-397 (2012)
  • A multivariate Gnedenko law of large numbers. Ann. Probab. 41 (5), 3051-3080 (2013)
  • (with Vitale) Concentration of random polytopes around the expected convex hull. Electron. Commun. Probab. 19 (59), 1-8 (2014)
  • Explicit Euclidean embeddings in permutation invariant normed spaces. Adv. Math. 266, 1-16 (2014)
  • Euclidean arrangements in Banach spaces. Studia Math. 227 (1), 55-76 (2015)
  • A simplified proof of CLT for convex bodies. Proc. Amer. Math. Soc. 149, 345-354 (2021)
  • Random Euclidean embeddings in finite-dimensional Lorentz spaces. Studia Math. 269 (2), 121-138 (2023)
  • Variations and extensions of the Gaussian concentration inequality, Part I. To appear in Quaest. Math.
  • Variations and extensions of the Gaussian concentration inequality, Part II.
  • Order statistics and convex subsets of non-convex Lorentz balls.
  • Optimal tail comparison under convex majorization.
  • Moment free deviation inequalities for linear combinations of independent random variables with power-type tails.
  • Exponential and Gaussian behavior in the tails of multivariate functions.