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

• The method of random projections and applications
  Kimon-Aggelos Makrinakis, National Technical University of Athens, June 2024 (in Greek, pdf). 

• Bourgain's slicing problem and Kannan-Lovasz-Simonovits isoperimetry up to polylog
  Sotiris Armeniakos, University of Athens, April 2023 (in Greek, pdf). 

• Hadwiger's covering problem
  Natalia Tziotziou, University of Athens, March 2023 (in Greek, pdf). 

• Improved Holder and inverse Holder inequalities for Gaussian random vectors
  Elisavet Dimoula, University of Athens, September 2022 (in Greek, pdf) 

• 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)

BSc Theses

• The Thue-Siegel-Roth theorem
  Vassiliki Laina, University of Athens, June 2010 (in Greek, pdf)

• Geometry of numbers
  Eleni Tzanaki, University of Crete, May 2000 (in Greek, pdf)

• The Komlos conjecture
  Nikos Dafnis, University of Crete, May 2000 (in Greek, pdf)

• The diameter of the Banach-Mazur compactum
  Dimitris Mitsotakis, University of Crete, April 2000 (in Greek, pdf)

• Isoperimetric inequalities and concentration of measure
  Marisa Zimonopoulou, University of Crete, March 1998 (in Greek, pdf)