Research
Recent talks
On dense/codense expansions of geometric theories (online)
Erlagol-2023 (Altai, Russia, June 2023)
On dense/codense expansions of geometric structures (online)
Fields Model Theory Seminar (Fields Institute, Toronto, September 2021)
Publications / preprints
17. Vector spaces with a dense-codense generic submodule
(with Alexander Berenstein and Christian d'Elbée)
Annals of Pure and Applied Logic (2024) https://doi.org/10.1016/j.apal.2024.103442
16. Definable groups in dense pairs of geometric structures
(with Alexander Berenstein)
Archive for Mathematical Logic, vol. 61 (2022), 234-372. PDF SharedIt link
15. Fields with a dense-codense linearly independent multiplicative subgroup
(with Alexander Berenstein)
Archive for Mathematical Logic, vol. 59 (2020),197–228. PDF SharedIt link
14. On the Vamos matroid, homogeneous pregeometries and dense pairs
(with Malhar Mukhopadhyay)
Australasian Journal of Combinatorics, vol. 75(1) (2019), 158–170.
13. Supersimple structures with a dense independent subset
(with Alexander Berenstein and Juan Felipe Carmona)
Mathematical Logic Quarterly, vol. 63(6)(2017), 552-573. arXiv
12. Geometric structures with a dense independent subset
(with Alexander Berenstein)
Selecta Mathematica - New Series, vol. 22 (1) (2016), 191-225.
11. Generic trivializations of geometric theories
(with Alexander Berenstein)
Mathematical Logic Quarterly, vol. 60 (4-5)(2014), 289-303.
10. Weakly one-based geometric theories
(with Alexander Berenstein)
Journal of Symbolic Logic, vol. 77 (2) (2012), 392-422.
9. On lovely pairs of geometric structures
(with Alexander Berenstein)
Annals of Pure and Applied Logic, vol. 161 (7)(2010), 866-878. PDF
8. On pseudolinearity and generic pairs,
Mathematical Logic Quarterly, vol. 56(1)(2010), 35-41. PDF
7. On lovely pairs and the $\exists\in P$ quantifier
(with Anand Pillay)
Notre Dame Journal of Formal Logic, vol. 46(4) (2005), 491-501. PDF
6. On the weak non-finite cover property and the n-tuples of simple structures
Journal of Symbolic Logic, vol.70(1) (2005), 235-251. PDF
5. Imaginaries in beautiful pairs
(with Anand Pillay)
Illinois Journal of Mathematics, vol.48(3) (2004), 759-768. PDF
(with Itai Ben-Yaacov and Anand Pillay)
Annals of Pure and Applied Logic , vol.122 (2003), 235-261. PDF
3. Generic pairs of SU-rank 1 structures
Annals of Pure and Applied Logic, vol.120 (2003), 103-149. PDF
2. Countably categorical structures with n-degenerate algebraic closure
Mathematical Logic Quarterly, vol.45 (1)(1999), 85-94. PDF
1. Universal unoid theories unique in power
( Универсальные теории уноидов уникальные в мощности )
Siberian Mathematical Journal, vol.37 (2)(1996), 221-231.