Silouanos Brazitikos

Assistant Professor, University of Crete

PhD, November 2017
Department of Mathematics
University of Athens

Research: Analysis

Geometry of isotropic convex bodies

Geometry of isotropic convex bodies
with Apostolos Giannopoulos, Petros Valettas and Beatrice-Helen Vritsiou
AMS-Mathematical Surveys and Monographs 196 (2014).

Publications

Sharp estimates for the Cramer transform of log-concave measures and geometric applications
with Giorgos Chasapis, Preprint.
pdf
On some integral-geometric quantities related to transversality, curvature and visibility
with Anthony Carbery and Finlay McIntyre, Indiana University Mathematics Journal (to appear).
pdf
Threshold for the expected measure of random polytopes
with Apostolos Giannopoulos and Minas Pafis, Mathematische Annalen 388 (2024), no. 3, 2991-3024.
pdf
Half-space depth of log-concave probability measures
with Apostolos Giannopoulos and Minas Pafis, Probability Theory and Related Fields 188 (2024), 309-336.
pdf
On a version of the slicing problem for the surface area of convex bodies
with Dimitris-Marios Liakopoulos, Transactions of the American Mathematical Society 375 (2022), 5561-5586.
pdf
Vector-Valued Maclaurin Inequalities
with Finlay McIntyre, Communications in Contemporary Mathematics 24 (2022), no. 6, Paper No. 2150044, 24 pp.
pdf
Sections of convex bodies in John's and minimal surface area position
with David Alonso-Gutierrez, International Mathematics Research Notices (2023), No.1, 243-297.
pdf
Continuous version of the approximate geometric Brascamp-Lieb inequalities
with Apostolos Giannopoulos, Journal of Geometric Analysis 32 (2022), no. 6, 174.
pdf
On affine invariant and local Loomis-Whitney type inequalities
with David Alonso-Gutierrez, Julio Bernues and Anthony Carbery, Journal of the London Mathematical Society 103 (2021), no. 4, 1377-1401.
pdf
Reverse Loomis-Whitney inequalities via isotropicity
with David Alonso-Gutierrez, Proceedings of the American Mathematical Society 149 (2021), no. 2, 817-828.
pdf
Polynomial estimates towards a sharp Helly-type theorem for the diameter of convex sets
Bulletin of the Hellenic Mathematical Society 62 (2018), 19-25.
pdf
An algorithmic regularity lemma for L_p regular sparse matrices
with Thodoris Karageorgos, SIAM Journal on Discrete Mathematics 31 No.4 (2017), 2301-2313.
pdf
On the average volume of sections of convex bodies
with Susanna Dann, Apostolos Giannopoulos and Alexander Koldobsky, Israel Journal of Mathematics 222 (2017), 921-947.
pdf
Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies
with Apostolos Giannopoulos and Dimitris-Marios Liakopoulos, Advances in Geometry 18 (2018), 345-354.
pdf
Random approximation and the vertex index of convex bodies
with Giorgos Chasapis and Labrini Hioni, Archiv der Mathematik 108 (2017), 209-221.
pdf
Quantitative Helly-type theorem for the diameter of convex sets
Discrete and Computational Geometry 57 (2017), 494-505.
pdf
Brascamp-Lieb inequality and quantitative versions of Helly's theorem
Mathematika 63 (2017), 272-291.
pdf
Sub-Gaussian directions of isotropic convex bodies
with Labrini Hioni, Journal of Mathematical Analysis and Applications 425 (2015), 919-927.
pdf
On the intersection of random rotations of a symmetric convex body
with Pantelis Stavrakakis, Math. Proc. Cambridge Philos. Soc. 157 (2014), 13-30.
pdf

PhD Thesis

Geometric Functional Analysis and Applications to Combinatorics
University of Athens, November 2017
(in Greek, pdf)

MSc Thesis

Kannan-Lovasz-Simonovits conjecture
University of Athens, February 2014
(in Greek, pdf)