Dimitris-Marios Liakopoulos
Postdoctoral Fellow, University of Athens
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).
pdfOn 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.
pdfReverse Brascamp-Lieb inequality and the dual Bollobas-Thomason inequality
Archiv der Mathematik 112 (2019), 293-304.
pdfExtensions of Grinberg's inequality and of its functional form
with Giorgos Chasapis, Preprint.
pdfUniform 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.
pdfEstimates 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)