My primary interests lie in the field of functional analysis:

• Banach spaces, and their interplay with descriptive set theory;
• Banach lattices;
• Operator spaces, with applications to quantum information;
• Operator theory;
• Approximation theory (greedy algorithms in particular).

Recent papers and preprints.

• Order extreme points and solid convex hulls (with M.A. Tursi). V.~Lomonosov Memorial Volume, to appear.
• Lebesgue inequalities for Chebyshev Thresholding Greedy Algorithms (with P Berna, O. Blasco, G. Garrigos, and E. Hernandez). Rev. Mat. Complut., to appear.
• The weighted Property (A) and the greedy algorithm (with P Berna, S. Dilworth, D. Kutzarova, and B. Wallis). J. Approx. Theory 248 (2019), 105300
• Separable universal Banach lattices (with D. Leung, L. Li, and M.A. Tursi). Israel J. Math. 230 (2019), 141-152.
• On the stability of some preservers. Linear Algebra Appl. 563 (2019), 494-526.
• Injectivity and projectivity in p-multinormed spaces. Positivity 22 (2018), 1023-1037.
• Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces (with P Berna, O. Blasco, G. Garrigos, and E. Hernandez). Constr. Approx. 48 (2018), 415-451.
• Greedy algorithm with gaps. J. Approx. Theory 225 (2018), 176-190.
• Almost band preservers (with P. Tradacete), Positivity 21 (2017), no. 4, 1393-1423.
• Large sublattices in subsets of Banach lattices. Arch. Math. (Basel) 109 (2017), 245-253.
• Multi-norms and Banach lattices (with G. Dales, N. Laustsen, and V. Troitsky), Multi-norms and Banach lattices. Dissertationes Math. 524 (2017), 115 pp.
• Almost disjointness preservers (with P. Tradacete), Canad. J. Math. 69 (2017), 650-686.
• A note on latticeability and algebrability. J. Math. Anal. Appl. 434 (2016), no. 1, 523-537.
• Reducing the number of inputs in nonlocal games (with M. Junge and C. Palazuelos), J. Math. Phys. 57 (2016), no. 10, 102203, 15 pp.
• A note on universal operators, Ordered structures and applications, 339-347, Birkhauser/Springer, Cham, 2016.
• Lebesgue constants for the weak greedy algorithm (with S. Dilworth and D. Kutzarova), Rev. Mat. Complut. 28 (2015), 393–409.
  
• Some notions of transitivity for operator spaces (with A. Chavez-Dominguez), Contemporary Math. 643 (2015), 49–61.
  
• Subprojective Banach spaces (with E. Spinu), J. Math. Anal. Appl. 424 (2015), 613–635.
  
• Ideals of operators on C*-algebras and their preduals (with E. Spinu), Bull. Lond. Math. Soc. 47 (2015), no. 1, 156-170.
• 2-local triple derivations on von Neumann algebrbras (with K. Kudaybergenov, A. Peralta, and B. Russo), Illinois J. Math. 58 (2014), 1055-1069.
• Operator ideals on non-commutative function spaces (with E. Spinu), Integr. Equ. Oper. Theory (2014) 79:507-532.