Newcastle University

Research Interests

Geometry and analysis on groups

Buildings

Knot theory

Noncommutative geometry

Geometry of surfaces

• Blok R, Hoffman C, Vdovina A. Expander graphs from Curtis-Tits groups. Journal of Combinatorial Theory, Series A 2012, 119(3), 521-525.
• Kharlampovich O, Vdovina A. Linear estimates for solutions of quadratic equations in free groups. International Journal of Algebra and Computation 2012, 22(1), 1250004.
• 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.
• Barker N, Boston N, Peyerimhoff N, Vdovina A. New examples of Beauville surfaces. Monatshefte fuer Mathematik 2012, (epub ahead of print). In Press.
• 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.
• Carbone L, Kangaslampi R, Vdovina A. Groups acting simply transitively on hyperbolic buildings. LMS Journal of Computation and Mathematics 2012.