Publications:

1. Simple stable homogeneous groups..

(J. Symbolic Logic 68
(2003), no. 4, 1145--1162. ) .

pdf

2. Simple Stable expansions of Hilbert spaces. (with S.
Buechler).

(Ann. Pure Appl. Logic 128 (2004), no. 1-3,
75--101.).

pdf

3. Imaginaries in Hilbert spaces. (with Itay Ben-Yaacov).

(Arch.
Math. Logic 43 (2004), no. 4, 459--466.) .

pdf

4. Dividing in the algebra of Compact Operators.

( J. Symbolic
Logic 69 (2004), no. 3, 817--829.).

pdf.

5. Hilbert spaces with generic groups of automorphisms.

(Arch.
Math. Logic, vol 46 (2007) no. 3, 289--299) Mathematics
arXiv math.LO/0411625

6. Invariant version of cardinality quantifiers in stable
theories. (with Ziv Shami)

(Dame Journal of Formal Logic 47
(2006), n. 3, 343--351).

pdf

7. Definable subgroups of measure algebras.

(Mathematical
Logic Quarterly 52 (2006), no. 4, 367--374).

pdf

8. Thorn independence in the field of
real numbers with a small multiplicative subgroup (with Clifton Ealy
and Ayhan Gunaydin), Annals of Pure and Applied
Logic, vol 155 (2007), 1--18.

pdf

pdf.

10. Hilbert spaces with Unitary operators (with Camilo Argoty),
Math. Logic Quarterly, vol 55 (2009), no. 1, 37--50

pdf.

11. On perturbations of Hilbert spaces and probability algebras with a generic automorphism (with Itai Ben Yaacov), Journal of Logic and Analysis, volume 1:7 (2009), 1-18.

12. Independence in the Banach lattices Lp(mu) (with Itai Ben Yaacov and C. Ward Henson), Israel Journal of Mathematics, 2011, Volume 183, Number 1, Pages 285-320.pdf.

13. Reflexive representability and stable metrics (with Itai Ben Yaacov and
Stefano Ferri), Mathematische Zeitschrift, 2011, Volume 267, Numbers 1-2, Pages 129-138.

pdf.

pdf. 15. The independence property in generalized dense pairs of structures (with Alf Dolich and Alf Onshuus), Journal of Symbolic Logic, 76 (2), 2011, pages 391-404.

pdf. 16. Weakly 1-based geometric theories (with Evgueni Vassiliev). Journal of Symbolic Logic, Volume 77, Issue 2 (2012), 369-728.

pdf. 17. Polish Topometric Groups (with Itai Ben Yaacov and Julien Melleray), Transactions of the American Mathematical Society 365 (2013), 3877-3897.

pdf. 18. Almost indiscernible sequences and convergence of canonical bases (with Itai Ben Yaacov and Ward Henson), Journal of Symbolic Logic, Volume 79, Issue 02, june 2014, pp 460 - 484.

pdf. 19. Generic trivializations of geometric theories (with Evgueni Vassiliev), Mathematical Logic Quarterly, Volume 60, Issue 4-5, 2014, pp 243–371.

pdf.

20. Geometric Theories with a dense independent subset, (with Evgueni Vassiliev), Selecta Mathematica, Volume 22, Issue 1, 2016, pp 191–225.

pdf.

21. Dense codense predicates and NTP2, (with Hyeungjoon Kim), Mathematical Logic Quarterly, Volume 62, Issue 1-2, 2016, pages 16–24.

pdf.

22. Supersimple theories with a dense independent subset, (with Juan Felipe Carmona and Evgueni Vassiliev), Mathematical Logic Quarterly, Volume 63, Issue 6, December 2017
pages 552–573.

pdf.

23. Hilbert spaces with random predicates (with Andres
Villaveces and Tapani Hyttinen). Revista Colombiana de Matemáticas, volumen 52, número 1, 2018, pages 107-130.

pdf.

24. Fields with a dense-codense linearly independent multiplicative subgroup (with Evgueni Vassiliev), to be published in Archive for Mathematical Logic.

pdf.

25. Definable connectedness of randomizations of groups (with Jorge Daniel Muñoz), Archive for Mathematical Logic, 60, pages 1019--1041 (2021).

26. Definable groups in dense pairs of geometric structures (with Evgueni Vassiliev), available online in Archive for Mathematical Logic.

Submitted and under revisions:

A. Model theory of Probability spaces with an automorphism. (with
C. Ward Henson).

Mathematics
arXiv math.LO/0405360..

B. Definable groups and imaginaries in dense pairs of geometric structures (with Evgueni Vassiliev).

pdf.

C. Randomization of Definable Groups (with Jorge Daniel Muñoz).

pdf.

D. Isometry group of Borel Randomizations (with Rafael Zamora).

pdf.

Some notes:

E. Banach lattices with a convolution are not stable.

pdf.

F. Characterizing U-thorn rank one theories, (with David Lippel)

pdf.

La página de Alexander Berenstein.