Research Interests

Google Scholar

Geometry and analysis on groups

Buildings

Knot theory

Noncommutative geometry

Geometry of surfaces

• Lawson MV, Vdovina A. Higher dimensional generalizations of the Thompson groups. Advances in Mathematics 2020, 369, 07191.
• Lawson M, Vdovina A. The universal Boolean inverse semigroup presented by the abstract Cuntz-Krieger relations. Journal of Noncommutative Geometry 2020, 15(1), 279-304.
• Ivrissimzis I, Peyerimhoff N, Vdovina A. Trivalent expanders, (\delta-Y)-transformations, and hyperbolic surfaces. Groups, Geometry, and Dynamics 2019, 13(3), 1103-1131.
• Daskalipoulos G, Mese C, Sanders A, Vdovina A. Surface groups acting on CAT(-1) spaces. Ergodic Theory and Dynamical Systems 2019, 39(7), 1843-1856.
• Rungtanapirom N, Stix J, Vdovina A. Infinite series of quaternionic 1-vertex cube complexes, the doubling construction, and explicit cubical Ramanujan complexes. International Journal of Algebra and Computation 2019, 29(6), 951-1007.
• Kharlampovich O, Vdovina A. Low complexity algorithms in knot theory. International Journal of Algebra and Computation 2019, 29(2), 245-262.
• Norledge W, Thomas A, Vdovina A. Maximal torsion-free subgroups of certain lattices of hyperbolic buildings and Davis complexes. Geometriae Dedicata 2018, 193(1), 121-143.
• Kharlampovich O, Mohajeri A, Taam A, Vdovina A. Quadratic Equations in Hyperbolic Groups are NP-complete. Transactions of the American Mathematical Society 2017, 369, 6207-6238.
• Stix J, Vdovina A. Simply transitive quaternionic lattices of rank 2 over F_q (t) and a non-classical fake quadric. Mathematical Proceedings of the Cambridge Philosophical Society 2017, 163(3), 453-498.
• Bromberg L, Shpilrain V, Vdovina A. Navigating in the Cayley graph of SL₂(F_p) and applications to hashing. Semigroup Forum 2017, 94(2), 314–324.
• Kangaslampi R, Vdovina A. Hyperbolic Triangular Buildings Without Periodic Planes of Genus 2. Experimental Mathematics 2017, 26(1), 54-61.
• Stix J, Vdovina A. Series of p-groups with Beauville structure. Monatshefte für Mathematik 2016, 181(1), 177-186.
• Barker N, Boston N, Peyerimhoff N, Vdovina A. An infinite family of 2-groups with mixed Beauville structure. International Mathematical Research Notices 2015, 2015(11), 3598-3618.
• Konter J, Vdovina A. Classifying polygonal algebras by their K_0 group. Proceedings of the Edinburgh Mathematical Society (Series 2) 2015, 58(02), 485-497.
• Blok R, Hoffman C, Vdovina A. Expander graphs from Curtis-Tits groups. Journal of Combinatorial Theory, Series A 2012, 119(3), 521-525.
• Barker N, Boston N, Peyerimhoff N, Vdovina A. New examples of Beauville surfaces. Monatshefte für Mathematik 2012, 166(3-4), 319-327.
• Kharlampovich O, Vdovina A. Linear estimates for solutions of quadratic equations in free groups. International Journal of Algebra and Computation 2012, 22(1), 1250004.
• Carbone L, Kangaslampi R, Vdovina A. Groups acting simply transitively on vertex sets of hyperbolic triangular buildings. LMS Journal of Computation and Mathematics 2012, 15, 101-112.
• Daskalopoulus G, Mese C, Vdovina A. Superrigidity of Hyperbolic Buildings. Geometric and Functional Analysis 2011, 21(4), 905-919.
• Peyerimhoff N, Vdovina A. Cayley graph expanders and groups of finite width. Journal of Pure and Applied Algebra 2011, 215(11), 2780-2788.
• Kangaslampi R, Vdovina A. Cocompact actions on hyperbolic buildings. International Journal of Algebra and Computation 2010, 20(4), 591-603.
• Edjvet M, Vdovina A. On the SQ-universality of groups with special presentations. Journal of Group Theory 2010, 13(6), 923-931.
• Duncan A, Vdovina A. Square-free words as products of commutators. Groups, Geometry, and Dynamics 2009, 3(3), 379-387.
• Vdovina A. On the number of optimal surfaces. Geometry and Topology Monographs 2008, 14, 557-567.
• Cornelissen G, Marcolli M, Reihani K, Vdovina A. Noncommutative Geometry on trees and buildings. Aspects of Mathematics E 2008, 38, 73-98.
• Kangaslampi R, Vdovina A. Triangular hyperbolic buildings. Comptes Rendus Mathematique 2006, 342(2), 125-128.
• Stoimenow A, Vdovina A. Counting alternating knots by genus. Mathematische Annalen 2005, 333(1), 1-27.
• Vdovina A. Groups, periodic planes and hyperbolic buildings. Journal of Group Theory 2005, 8(6), 755-765.
• Vdovina A. Polyhedra with specified links. In: Théorie spectrale et géométrie. 2003, Institut Fourier, Universite Grenoble I, France.
• Vdovina A. Combinatorial structure of some hyperbolic buildings. Mathematische Zeitschrift 2002, 241(3), 471-478.
• Bacher R, Vdovina A. Counting 1-vertex triangulations of oriented surfaces. Discrete Mathematics 2002, 246(1-3), 13-27.
• Stoimenow A, Tchernov V, Vdovina A. The canonical genus of a classical and virtual knot. Geometriae Dedicata 2002, 95(1), 215-225.
• Selivanova E, Vdovina A. Locally minimal networkson surfaces of constant negative curvature. Moscow University Mathematics Bulletin 1997, 52(6), 8-10.
• Vdovina A. Products of commutators in free products. International Journal of Algebra and Computation 1997, 7(4), 471-485.
• Vdovina A. On the number of nonorientable Wicks forms in a free group. Proceedings of the Royal Society of Edinburgh, Section: A Mathematics 1996, 126(1), 113-116.
• Vdovina A. Constructing of orientable Wicks forms and estimation of their number. Communications in Algebra 1995, 23(9), 3205-3222.
• Vdovina A. Products of squares in a free group. Moscow University Mathematics Bulletin 1994, 1, 21-24.
• Knyazeva IS, Makarenko NG, Makarenko I, Vdovina A, Urtiev FA. Analysis of the Solar magnetograms evolution using a spectral gap of critical nets. In: 5th International Conference on Mathematical Modeling in Physical Sciences (IC-MSquare 2016). 2016, Athens, Greece: Institute of Physics Publishing.
• Bauer I, Garion S, Vdovina A. Beauville Surfaces and Groups. In: Springer Proceedings in Mathematics and Statistics. 2015, Springer New York LLC.