Boris Kruglikov's Homepage


	Welcome to the homepage of BORIS KRUGLIKOV!
	Teaching Here the information about the courses I have taught is stored. Birth 10.XII.1970. Kharkov (previous USSR, now Ukraine). Education 1985-1992: Student at Moscow State University, Mech-Math. Department, Differential Geometry Chair. 25 June 1992: Diploma of Moscow State University (CV 502285). 1992-1995: Post-graduate student at Moscow State University, Mech-Math. Department, Differential Geometry Chair. 1 December 1995: PhD thesis "Symplectic geometry of Integrable Hamiltonian Systems". Diploma KT 016901. Positions 1995 - 1998 : Moscow State Technical University, Applied Mathematics Department. Assistant Professor. 1998 - 1999 : Moscow State Technical University, System Analysis Department. Associate Professor. 1999 - 2003 : University of Tromso, Mathematical Department. Associate Professor. 2003 - now : University of Tromso, Mathematical Department. Professor. Research Interests Differential Equations. Geometrical approach and Symmetries. Compatibility and solvability of overdetermined systems. Homogeneous models. Classification of PDEs via Cartan forms. Differential invariants. Integrability methods. Differential Geometry. Structures on manifolds. Equivalences and normal form of geometrical structures. Classification of operator fields and distributions (differential systems). Dynamical systems. Hamiltonian dynamics. Topological aspects of Integrable Systems. Problem of conjugacy. Entropy of smooth and singular systems. Chaos vs. Integrability. Piece-wise affine maps. Dynamical models of self-organized criticality. Almost Complex Geometry. Nijenhuis tensor and its higher analogs. Kobayashi pseudodistance and Royden pseudometric. Almost complex structures on distributions, tangent and normal bundles. Symplectic and Contact Geometry. Pseudoholomorphic curves. Lagrangian foliations. Homogeneous symplectic and contact manifolds. Publications Look here for the list. Scientific Activity a member of Moscow Mathematical Society a member of Arnold seminar in Moscow a member and a secretary of Sophus Lie seminar in Tromsø Some other information about me You can find it here (there are 5 pages; the group Z₅). You can drop me an e-mail: kruglikov @ math.uit.no
	Faculty of Science, Department of Mathematics and Statistics University of Tromso, 9037 Tromso, tlf. (+47) 776 44031, fax. (+47) 776 44765