Dimitris-Marios Liakopoulos

PhD, June 2019
Department of Mathematics
University of Athens

Research: Asymptotic Geometric Analysis

Publications

• Inequalities for the quermassintegrals of sections of convex bodies
  Indiana University Mathematics Journal (to appear).
  pdf

• On a version of the slicing problem for the surface area of convex bodies
  with Silouanos Brazitikos, Transactions of the American Mathematical Society 375 (2022), 5561-5586.
  pdf

• Reverse Brascamp-Lieb inequality and the dual Bollobas-Thomason inequality
  Archiv der Mathematik 112 (2019), 293-304.
  pdf

• Extensions of Grinberg's inequality and of its functional form
  with Giorgos Chasapis, Preprint.
  pdf

• Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies
  with Silouanos Brazitikos and Apostolos Giannopoulos, Advances in Geometry 18 (2018), 345-354.
  pdf

• Estimates for measures of lower dimensional sections of convex bodies
  with Giorgos Chasapis and Apostolos Giannopoulos, Advances in Mathematics 306 (2017), 880-904.
  pdf

PhD Thesis

• Functional inequalities and applications to convex and stochastic geometry
  University of Athens, June 2019
  (in Greek, pdf)

MSc Thesis

• The Bernoulli conjecture
  University of Athens, July 2014
  (in Greek, pdf)