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  • Linearity of compact R-analytic groups, (with A. Zozaya), 
    Proceedings of the Edinburgh Mathematical Society (to appear), arXiv:2311.13516

     

  • Pro-C RAAGs (with M. Pintonello and P. Zalesskii),
    Journal of Algebra, 664, Part A, (2025), pp. 177-208, 
    https://doi.org/10.1016/j.jalgebra.2024.09.030., arXiv:2311.13439

     

  • Finitely presented subgroups of direct products of graphs of groups with free abelian vertex groups, (with J. Lopez de Gamiz Zearra), 20 pages, submitted, arXiv:2310.05795 
     

  • On the elementary theory of graph products of groups, (with J. dela Nuez & I.Kazachkov), 
    Dissertationes Mathematicae 595 (2024), 92 pp.,
    DOI: 10.4064/dm850-4-2024, arXiv:2106.03782

     

  • On finitely generated normal subgroups of right-angled Artin groups and graph products of groups, (with J. Lopez de Gamiz Zearra),
    Proceedings of the AMS, DOI: https://doi.org/10.1090/proc/16512, arXiv:2206.12182

     

  • Subgroups of direct products of graphs of groups with free abelian vertex groups, (with J. Lopez de Gamiz Zearra), 25 pages, submitted, arXiv:2010.10414 
     

  • Limit groups over coherent right-angled Artin groups, (with A. Duncan and I. Kazachkov), Publ. Mat. 67(1): 199-257 (2023) DOI: 10.5565/PUBLMAT6712305, arXiv:2009.01899 
     

  • Simple groups with infinite verbal width and the same positive theory as free groups, (with A. Garreta, I. Kazachkov, and J. de la Nuez González),
    Isr. J. Math. 254, 39–56 (2023). https://doi.org/10.1007/s11856-022-2384-5, arXiv:1911.02117 

     

  • On the positive theory of groups acting on trees, (with A. Garreta and J. de la Nuez González),
    Int Math Res Notices 2021 (3), 1837-1918, doi:10.1093/imrn/rnaa164, arXiv:1910.09000 

     

  • Commensurability of Baumslag-Solitar groups, (with I. Kazachkov and A. Zakharov),
    Indiana Univ. Math. J. 70 (2021), 2527-2555, doi:10.1512/iumj.2021.70.9496, arXiv:1910.02117 

     

  • On commensurability of some right-angled Artin groups II: RAAGs defined by paths, (with I. Kazachkov and A. Zakharov),
    Mathematical Proceedings of the Cambridge Mathematical Society, 170, no. 3 (2021): 559–608. doi:10.1017/ S0305004119000537, arXiv:1803.00971 
     

  • Commensurability of some right-angled Artin groups, (with I. Kazachkov and A. Zakharov),
    Revista Matemática Iberoamericana, v. 35 (2), 2019, 521-560 
    DOI:10.4171/rmi/1061, arXiv:1611.01741

     

  • Pro-Hall R-groups and groups discriminated by the free pro-p group, (with I. Kazachkov and V. Remeslennikov),
    Journal of Group Theory, 19(3) (2016), pp. 391-403, 
    DOI:10.1515/jgth-2016-0505, arXiv:1803.00478

     

  • On the quasi-isometric classification of partially commutative groups,
    Algebraic & Geometric Topology 16 (2016) 597 -620,
    DOI: 10.214/agt.2016.16.597, arXiv:1803.00416

     

  • Embeddability and Universal Equivalence of partially commutative groups,
    Internat. Math. Research Notices, (2015) 2015 (24): 13575-13622.
    DOI: 10.1093/imrn/rnv122, arXiv:1506.03261

     

  • Limit Groups over Partially Commutative Groups and Group Actions on Real Cubings, (with I. Kazachkov), 
    Geom. Topol., v.19 (2) (2015),  pp. 725-852, arXiv:1110.0174 

     

  • Embeddings between two partially commutative groups: two counterexamples (with A. Duncan and I. Kazachkov), 
    J. Algebra, v.390 (2013) pp. 87-99, arXiv:1306.3087

     

  • Two remarks on first-order theories of Baumslag-Solitar groups, (with I. Kazachkov), 
    Sib. J. Math., v. 53 (5) (2012), pp. 805-809, arXiv:1002.2658 

     

  • First-order theories and Tarski problems (in Catalan)
    Butlletí de la Societat Catalana de Matemàtiques, v. 28 (1) (2013), pp. 5-49, here

     

  • On systems of equations over free products of groups (with I. Kazachkov), 
    J. Algebra, v. 333 (2011), pp. 368-426, arXiv:0903.2096

     

  • Elementary equivalence of right-angled Coxeter groups and graph products of finite Abelian groups  (with I. Kazachkov and V. Remeslennikov),
    Bull. London Math. Soc., v. 42 (1) (2010), pp.130-136, arXiv:0810.4870

     

  • Elements of Algebraic Geometry and the Positive Theory of Partially Commutative Groups (with I. Kazachkov), 
    Canadian J. Math., v. 62 (3) (2010), pp. 481-519, arXiv:0710.4077

Journal Publications and preprints

PUBLICATIONS

Research Monograph
  • On systems of equation over free partially commutative groups (with I. Kazachkov), 
    Memoirs of the American Mathematical Society, v. 212 (2011), no. 999, viii+153pp
    arXiv:0810.4867

Articles in preparations
  • Real cubings and asymptotic cones of hierarchically hyperbolic groups (with M. Hagen and I. Kazachkov) preprint, 400 pages
     

  • Finite presentations of kernels of rational characters of right-angled Artin groups (with I. Kazachkov and M. Roy)
     

  • Elementary theory of finite dimensional algebras and partially commutative nilpotent groups (with G. Fernández-Alcober, I. Kazachkov, and V. Remeslennikov), 34 pages

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