Monographs

Ramsey Theory for Product Spaces, with V. Kanellopoulos, Mathematical Surveys and Monographs, Vol. 212, American Mathematical Society, 2016 [ pdf | Link

Banach Spaces and Descriptive Set Theory: Selected Topics, Lecture Notes in Mathematics, Vol. 1993, Springer, 2010 [ pdf | Link ]

Surveys

Density Hales–Jewett numbers—where do we stand?  in "Proceedings of the 16th Panhellenic Conference on Mathematical Analysis", 2018, 11–17 [ pdf ]

Some recent results in Ramsey theory, in "Selected Topics in Combinatorial Analysis", Zbornik Radova 17 (2015), 81–91 [ pdf ]

Banach spaces and Ramsey theory: some open problems, with J. Lopez-Abad and S. Todorcevic, Rev. R. Acad. Cien. Serie A Mathemáticas 104 (2010), 435–450 [ pdf | arxiv ]

Papers & preprints

Forbidden sparse intersections, with M. Karamanlis, preprint [ pdf | arxiv ]

Decompositions of finite high-dimensional random arrays, with K. Tyros and P. Valettas, preprint [ pdf | arxiv ]

Concentration estimates for functions of finite high-dimensional random arrays, with K. Tyros and P. Valettas, Random Structures & Algorithms 63 (2023), 997–1053 [ pdf | arxiv ]

Anticoncentration and Berry–Esseen bounds for random tensors, with K. Tyros, Probability Theory and Related Fields 187 (2023), 317–383 [ pdf | arxiv ]

Uniformity norms, their weaker versions, and applications, with V. Kanellopoulos, Acta Arithmetica 203 (2022), 251–270 [ pdf | arxiv ]

A structure theorem for stochastic processes indexed by the discrete hypercube, with K. Tyros, Forum of Mathematics, Sigma Vol. 9 (2021), e8, 1–30 [ pdf | arxiv ]

Subgaussianity is hereditarily determined, with K. Tyros, Proceedings of the American Mathematical Society 148 (2020), 29152930 [ pdf | arxiv ]

Lp regular sparse hypergraphs: box norms, with V. Kanellopoulos and Th. Karageorgos, Fundamenta Mathematicae 248 (2020), 49–77 [ pdf | arxiv ]

Lp regular sparse hypergraphs, with V. Kanellopoulos and Th. Karageorgos, Fundamenta Mathematicae 240 (2018), 265–299 [ pdf | arxiv ]

Szemerédi's regularity lemma via martingales, with V. Kanellopoulos and Th. Karageorgos, Electronic Journal of Combinatorics 23 (2016), Research Paper P3.11, 1–24 [ pdf | arxiv ]

A concentration inequality for product spaces, with V. Kanellopoulos and K. Tyros, Journal of Functional Analysis 270 (2016), 609–620 [ pdf | arxiv ]

A density version of the Carlson–Simpson theorem, with V. Kanellopoulos and K. Tyros, Journal of the European Mathematical Society 16 (2014), 2097–2164 [ pdf | arxiv ]

A simple proof of the density Hales–Jewett theorem, with V. Kanellopoulos and K. Tyros, International Mathematics Research Notices 12 (2014), 3340–3352 [ pdf | arxiv ]

Measurable events indexed by words, with V. Kanellopoulos and K. Tyros, Journal of Combinatorial Theory, Series A 127 (2014), 176–223 [ pdf | arxiv ]

Measurable events indexed by products of trees, with V. Kanellopoulos and K. Tyros, Combinatorica 34 (2014), 427–470 [ pdf | arxiv ]

A density version of the Halpern–Läuchli theorem, with V. Kanellopoulos and N. Karagiannis, Advances in Mathematics 244 (2013), 955–978 [ pdf | arxiv ]

Dense subsets of products of finite trees, with V. Kanellopoulos and K. Tyros, International Mathematics Research Notices 4 (2013), 924–970 [ pdf | arxiv ]

Measurable events indexed by trees, with V. Kanellopoulos and K. Tyros, Combinatorics, Probability and Computing 21 (2012), 374–411 [ pdf | arxiv ]

Partition ideals below aleph omega, with J. Lopez-Abad and S. Todorcevic, Fundamenta Mathematicae 217 (2012), 21–34 [ pdf ]

Operators whose dual has non-separable range, Journal of Functional Analysis 260 (2011), 1285–1303 [ pdf | arxiv ]

Unconditional basic sequences in spaces of large density, with J. Lopez-Abad and S. Todorcevic, Advances in Mathematics 226 (2011), 3297–3308 [ pdf ]

On strictly singular operators between separable Banach spaces, with K. Beanland, Mathematika 56 (2010), 285–304 [ pdf | arxiv ]

Quotients of Banach spaces and surjectively universal spaces, Studia Mathematica 197 (2010), 171–194 [ pdf | arxiv ]

On antichains of spreading models of Banach spaces, Canadian Mathematical Bulletin 53 (2010), 64–76 [ pdf | arxiv ]

Definability under duality, Houston Journal of Mathematics 36 (2010), 781–792 [ pdf | arxiv ]

On classes of Banach spaces admitting "small" universal spaces, Transactions of the American Mathematical Society 361 (2009), 6407–6428 [ pdf | arxiv

The Steinhaus property and Haar-null sets, Bulletin of the London Mathematical Society 41 (2009), 377–384 [ pdf | arxiv ]

Classes of strictly singular operators and their products, with G. Androulakis, G. Sirotkin and V. G. Troitsky, Israel Journal of Mathematics 169 (2009), 221–250 [ pdf | arxiv

On pairs of definable orthogonal families, with V. Kanellopoulos, Illinois Journal of Mathematics 52 (2008), 181–201 [ pdf | arxiv ]

On unconditionally saturated Banach spaces, with J. Lopez-Abad, Studia Mathematica 188 (2008), 175–191 [ pdf | arxiv ]

On filling families of finite subsets of the Cantor set, with V. Kanellopoulos, Mathematical Proceedings of the Cambridge Philosophical Society 145 (2008), 165–175 [ pdf | arxiv ]

Unconditional families in Banach spaces, with S. A. Argyros and V. Kanellopoulos, Mathematische Annalen 341 (2008), 15–38 [ pdf ]

A strong boundedness result for separable Rosenthal compacta, Fundamenta Mathematicae 198 (2008), 177–189 [ pdf | arxiv ]

A classification of separable Rosenthal compacta and its applications, with S. A. Argyros and V. Kanellopoulos, Dissertationes Mathematicae 449 (2008), 1–52 [ pdf | arxiv

Some strongly bounded classes of Banach spaces, with V. Ferenczi, Fundamenta Mathematicae 193 (2007), 171–179 [ pdf | arxiv ]

Genericity and amalgamation of classes of Banach spaces, with S. A. Argyros, Advances in Mathematics 209 (2007), 666–748 [ pdf ]

Codings of separable compact subsets of the first Baire class, Annals of Pure and Applied Logic 142 (2006), 425–441 [ pdf | arxiv

Tree structures associated to a family of functions, with S. A. Argyros and V. Kanellopoulos, Journal of Symbolic Logic 70 (2005), 681–695 [ pdf

Dichotomies of the set of test measures of a Haar-null set, Israel Journal of Mathematics 144 (2004), 15–28 [ pdf | arxiv ]

On certain regularity properties of Haar-null sets, Fundamenta Mathematicae 181 (2004), 97–109 [ pdf ]

Generalized gradients of monotone type, Nonlinear Analysis 56 (2004), 201–212

Stable families of analytic sets, Colloquium Mathematicum 98 (2003), 277–281 [ pdf ]

Ranks for Baire multifunctions, Colloquium Mathematicum 95 (2003), 63–77

On continuity and selections of multifunctions, Bulletin of the Australian Mathematical Society 65 (2002), 407–42