Staff Profile
Dr Alina Vdovina
Senior Lecturer in Pure Mathematics
- Email: alina.vdovina@ncl.ac.uk
- Telephone: +44 (0) 191 208 7314
- Fax: +44 (0) 191 208 8020
- Personal Website: http://www.staff.ncl.ac.uk/alina.vdovina/
- Address: School of Mathematics and Statistics
Herschel Building
University of Newcastle
Newcastle upon Tyne
NE1 7RU
Research
Research Interests
Geometry and analysis on groups
Buildings
Knot theory
Noncommutative geometry
Geometry of surfaces
Publications
- 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 Fq (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(Fp) 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.