Education:
1997 Doctor Phys.-Math. Science (habilitation), Dissertation Classification of Local Minimal Planar Networks with Convex Boundaries.
1990 Candidate Phys.-Math. Science (PhD), Dissertation Morse's Indices of Minimal Surfaces. Sci. Advisor Prof. A. Fomenko.
Positions:
From 2009 Member of Academic Council of Faculty of Mechanics and Mathematics, Moscow State University
From 2007 Member of Experts Council of Superior Certification Commission
From 2006 Head of Laboratory of Computer Methods in Humanities and Natural Sciences, Faculty of Mechanics and Mathematics, Moscow State University
From 2000 Lomonosov Moscow State University, Faculty of Mechanics and Mathematics, department of Differential geometry and applications, professor; Moscow Institute of Physics and Technology, professor.
Research interests: topological and geometrical variational problems, extreme networks theory, in particular, branching geodesics and Steiner problem on Riemannian manifolds and Alexandrov surfaces, Steiner ratio and Gilbert-Pollak conjecture, graph theory, computer geometry, metric geometry, mathematical biology.
Current research:
Minimal fillings (in the sense of M.Gromov) for finite metric spaces by weighted graphs. Some general properties described, minimal fillings constructed for some special cases (generalized additive spaces), a general formula for the weight of minimal filling is conjectured, relations between minimal fillings and shortest networks are obtained.
Interior spanning trees for plane polygons and plane immersed polygons. There investigated a generalization of Voronoi diagram and Delaunay triangulation concepts for these cases. Description of possible Delaunay cells is obtained.
Pedagogical activities:
Lecture Courses on High Geometry and Topology (Moscow Institute of Physics and Technology), Visual Geometry (MSU); Special Lecture Courses on Geometrical Graph Theory, Metric Geometry, Extreme Networks Theory; Practical training: Computer geometry.
Current scientific advising:
1 third year student, 1 fourth year students, 3 fifth year (graduate) students, 1 post-graduate students. Three of my post graduate students obtained their PhD degrees.
Publications:
I have more than 100 scientific publications including 5 monographs and 2 textbooks.
Ten recent publications:
Contacts:
Department of Differential Geometry and Applications
Faculty of Mechanics and Mathematics,
Moscow State University named for M.V.Lomonosov,
Leninskie Gory 1,
Moscow, 199991, Russia
+7(495)9393940 office
+7(495)3342870 home