Silouanos Brazitikos
Assistant Professor, University of Crete
PhD, November 2017
Department of Mathematics
University of Athens
Research:
Analysis
Geometry of isotropic convex bodies
Publications

On some integralgeometric quantities related to transversality, curvature and visibility
with Anthony Carbery and Finlay McIntyre, Preprint.
pdf

Threshold for the expected measure of random polytopes
with Apostolos Giannopoulos and Minas Pafis, Mathematische Annalen (to appear).
pdf

Halfspace depth of logconcave probability measures
with Apostolos Giannopoulos and Minas Pafis, Probability Theory and Related Fields 188 (2024), 309336.
pdf

On a version of the slicing problem for the surface area of convex bodies
with DimitrisMarios Liakopoulos, Transactions of the American Mathematical Society 375 (2022), 55615586.
pdf

VectorValued 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 AlonsoGutierrez, International Mathematics Research Notices (2023), No.1, 243297.
pdf

Continuous version of the approximate geometric BrascampLieb inequalities
with Apostolos Giannopoulos, Journal of Geometric Analysis 32 (2022), no. 6, 174.
pdf

On affine invariant and local LoomisWhitney type inequalities
with David AlonsoGutierrez, Julio Bernues and Anthony Carbery,
Journal of the London Mathematical Society 103 (2021), no. 4, 13771401.
pdf

Reverse LoomisWhitney inequalities via isotropicity
with David AlonsoGutierrez, Proceedings of the American Mathematical Society 149 (2021), no. 2, 817828.
pdf

Polynomial estimates towards a sharp Hellytype theorem for the diameter of convex sets
Bulletin of the Hellenic Mathematical Society 62 (2018), 1925.
pdf

An algorithmic regularity lemma for L_{p} regular sparse matrices
with Thodoris Karageorgos, SIAM Journal on Discrete Mathematics 31 No.4 (2017), 23012313.
pdf

On the average volume of sections of convex bodies
with Susanna Dann, Apostolos Giannopoulos and Alexander Koldobsky, Israel Journal of Mathematics 222 (2017), 921947.
pdf

Uniform cover inequalities for the volume of coordinate sections and projections of convex bodies
with Apostolos Giannopoulos and DimitrisMarios Liakopoulos, Advances in Geometry 18 (2018), 345354.
pdf

Random approximation and the vertex index of convex bodies
with Giorgos Chasapis and Labrini Hioni, Archiv der Mathematik 108 (2017), 209221.
pdf

Quantitative Hellytype theorem for the diameter of convex sets
Discrete and Computational Geometry 57 (2017), 494505.
pdf

BrascampLieb inequality and quantitative versions of Helly's theorem
Mathematika 63 (2017), 272291.
pdf

SubGaussian directions of isotropic convex bodies
with Labrini Hioni, Journal of Mathematical Analysis and Applications 425 (2015), 919927.
pdf

On the intersection of random rotations of a symmetric convex body
with Pantelis Stavrakakis, Math. Proc. Cambridge Philos. Soc. 157 (2014), 1330.
pdf
PhD Thesis
 Geometric Functional Analysis and Applications to Combinatorics
University of Athens, November 2017
(in Greek,
pdf)
MSc Thesis
 KannanLovaszSimonovits conjecture
University of Athens, February 2014
(in Greek,
pdf)