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PhD Theses

  • Problems in Geometric Functional Analysis
    Nikos Skarmogiannis, University of Athens, October 2020 (in Greek, pdf)

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

  • Geometric Problems in Non-Linear Functional Analysis
    Giorgos Chasapis, University of Athens, September 2018 (in Greek, pdf)

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

  • Probabilistic Methods in Convex Geometric Analysis
    Labrini Hioni, University of Athens, June 2017 (in Greek, pdf)

  • Classical positions of convex bodies
    Eleftherios Markessinis, University of Athens, May 2015 (in Greek, pdf)

  • Geometry of the L_q Centroid Bodies
    Pantelis Stavrakakis, University of Athens, February 2014 (in Greek, pdf)

  • Geometry of isotropic log-concave measures
    Beatrice-Helen Vritsiou, University of Athens, June 2013 (in Greek, pdf)

  • Problems in Asymptotic Geometric Analysis
    Petros Valettas, University of Athens, May 2012 (in Greek, pdf)

  • Probabilistic Methods in Asymptotic Geometric Analysis
    Nikos Dafnis, University of Athens, January 2010 (in Greek, pdf)

  • Random Polytopes
    Nikos Markoulakis, University of Crete, November 2006 (in Greek, pdf)

  • Volume Inequalities for Sections and Projections of Convex Bodies
    Grigoris Paouris, University of Crete, January 2004 (in Greek, pdf)

  • Probabilistic Methods in the Theory of Convex Bodies
    Marianna Hartzoulaki, University of Crete, March 2003 (in Greek, pdf)

MSc Theses

  • Bourgain's slicing problem and Kannan-Lovasz-Simonovits isoperimetry up to polylog
    Sotiris Armeniakos, University of Athens, in progress.

  • Hadwiger's covering problem
    Natalia Tziotziou, University of Athens, in progress.

  • Improved Holder and inverse Holder inequalities for Gaussian random vectors
    Elisavet Dimoula, University of Athens, in progress.

  • Quantitative versions of Roth's theorem on arithmetic progressions
    Christos Falaras, University of Athens, September 2021 (in Greek, pdf)

  • Ergodic theory of actions on locally compact groups
    Alexandros Vlandos, University of Athens, July 2021 (in Greek, pdf)

  • Borsuk-Ulam theorem and applications to combinatorics, geometry and analysis
    Despina Stamataki, University of Athens, June 2021 (in Greek, pdf)

  • Fourier multipliers and Littlewood-Paley theory
    Vassiliki Balidou, University of Athens, June 2021 (in Greek, pdf)

  • Banach spaces of continuous functions
    Panagiotis Gasparis, University of Athens, May 2021 (in Greek, pdf)

  • Approaches to the hyperplane conjecture on the volume of sections of convex bodies
    Konstantinos Patsalos, University of Athens, March 2021 (in Greek, pdf)

  • Consistency of the generalized continuum hypothesis with the ZFC axioms
    George Maraggelis, University of Athens (co-advisor: C. Dimitrakopoulos), March 2021 (in Greek, pdf)

  • Unital quantum channels, majorization and Nielsen's theorem
    Argiro Karimali, University of Athens (co-advisor: M. Anoussis), March 2021 (in Greek, pdf)

  • Entropy, hypercontractivity and Talagrand's inequalities
    Minas Pafis, University of Athens, October 2020 (in Greek, pdf)

  • Ergodic structure theorems and applications to multiplicative functions
    Konstantinos Tsinas, University of Athens, September 2019 (co-advisors: N. Frantzikinakis and D. Gatzouras, in Greek, pdf)

  • Topics in Additive Number Theory
    Alexandros Iliopoulos, University of Athens, September 2019 (in Greek, pdf)

  • Random Fourier Series
    Ioannis Smyth, University of Athens, June 2019 (in Greek, pdf)

  • Ricci curvature of Markov chains in metric spaces
    George Papadakis, University of Athens, January 2019 (in Greek, pdf)

  • Geometric analysis of Sobolev inequalities
    Athanasios Zacharopoulos, University of Athens, November 2018 (in Greek, pdf)

  • Rearrangement inequalities and applications to convex geometric analysis
    Panagiota Chatziantoni, University of Athens, October 2018 (in Greek, pdf)

  • Isoperimetric inequalities for the Gaussian measure
    Maria Mastrotheodorou, University of Athens, January 2018 (in Greek, pdf)

  • Type-cotype and the Maurey-Pisier theorem
    Vasilis Sterios, University of Athens, June 2017 (in Greek, pdf)

  • Logarithmic Brunn-Minkowski inequality and the logarithmic Minkowski problem
    Pavlos Kalantzopoulos, University of Athens, June 2017 (in Greek, pdf)

  • Bourgain discretization theorem and quantitative differentiation
    Stelios Botsis, University of Athens, June 2017 (in Greek, pdf)

  • Pointwise convergence of Fourier series: Carleson's theorem
    Nikos Skarmogiannis, University of Athens, July 2016 (in Greek, pdf)

  • High dimensional maximal functions associated to convex bodies
    Nikolaos Panagiotakos, University of Athens, June 2016 (in Greek, pdf)

  • The best constant in Grothendieck's inequality
    Alexandros Georgakopoulos, University of Athens, June 2016 (in Greek, pdf)

  • Spectral sparsification and the Kadison-Singer problem
    Konstantinos Stoumpos, University of Athens, July 2015 (in Greek, pdf)

  • Optimal Transportation and Geometric Inequalities
    Tania Papanikolaou, University of Athens, November 2014 (in Greek, pdf)

  • The Bernoulli conjecture
    Dimitris-Marios Liakopoulos, University of Athens, July 2014 (in Greek, pdf)

  • Metric type and cotype
    George Chasapis, National Technical University of Athens, March 2014 (in Greek, pdf)

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

  • The central limit problem for log-concave probability measures
    Labrini Hioni, University of Athens, February 2013 (in Greek, pdf)

  • The approximation property and the basis problem in Banach spaces
    Andreas Mitropoulos, University of Athens, February 2012 (in Greek, pdf)

  • Arithmetic progressions in the primes: the Green-Tao theorem
    Beatrice-Helen Vritsiou, University of Athens, October 2010 (in Greek, pdf)

  • Invertibility of large matrices and the Kadison-Singer problem
    Lefteris Markessinis, University of Athens, September 2010 (in Greek, pdf)

  • Functional inequalities and concentration of measure
    Pantelis Stavrakakis, University of Athens, June 2009 (in Greek, pdf)

  • Finite dimensional subspaces of L_p
    Petros Valettas, University of Athens, May 2009 (in Greek, pdf)

  • Embeddings of finite metric spaces into normed spaces
    Tasos Tsesmetzis, National Technical University of Athens, April 2005 (in Greek, pdf)

  • Majorizing measures
    Nikos Dafnis, University of Crete, November 2002 (in Greek, pdf)

  • Concentration of measure in product spaces
    Nikos Markoulakis, University of Crete, September 2001 (in Greek, pdf)

  • Mahler's conjecture and the inverse Santalo inequality
    George Tzibragos, University of Crete, September 2001 (in Greek, pdf)

  • The theorems of Dvoretzky and Krivine
    Marianna Hartzoulaki, University of Crete, April 1999 (in Greek, pdf)

  • The hyperplane conjecture for convex bodies
    Grigoris Paouris, University of Crete, April 1999 (in Greek, pdf)