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Bilde av Kruglikov, Boris
Professor Institutt for matematikk og statistikk boris.kruglikov@uit.no +4777644779 Tromsø Her finner du meg

Boris Kruglikov

Stillingsbeskrivelse

https://math.uit.no/ansatte/boris

  • E. V. Ferapontov, Boris Kruglikov :
    Involutive Scroll Structures on Solutions of 4D Dispersionless Integrable Hierarchies
    Communications in Mathematical Physics 30. oktober 2025 DOI / ARKIV
  • Boris Kruglikov, Andrea Santi :
    On 3-Nondegenerate CR Manifolds in Dimension 7 (II): the Intransitive Case
    Journal of Geometric Analysis 24. oktober 2025 DOI / ARKIV
  • Boris Kruglikov :
    Conformal geodesics are not variational in higher dimensions
    Nonlinearity 27. oktober 2025 DOI / ARKIV
  • Boris Kruglikov, Matveev, Vladimir S., Wijnand Sebastiaan Steneker :
    Variationality of Conformal Geodesics in dimension 3 | Analysis and Mathematical Physics
    Analysis and Mathematical Physics 02. september 2025 DOI / ARKIV
  • Boris Kruglikov, Eivind Schneider :
    Invariant divisors and equivariant line bundles
    Forum of Mathematics, Sigma 03. april 2025 DOI / ARKIV
  • Boris Kruglikov, Andrea Santi :
    On 3-nondegenerate CR manifolds in dimension 7 (I): The transitive case
    Journal für die Reine und Angewandte Mathematik 2025 DOI / ARKIV
  • Boris Kruglikov :
    On Fractional-Linear Integrals of Geodesics on Surfaces
    Russian journal of mathematical physics 2025 DOI / ARKIV
  • Boris Serafimovich Kruglikov, Andreu Llabrés :
    Realization of Lie superalgebras G(3) and F(4) as symmetries of supergeometries
    Journal of Algebra 10. oktober 2024 DOI / ARKIV
  • Boris Serafimovich Kruglikov, Omid Makhmali :
    Zero-curvature subconformal structures and dispersionless integrability in dimension five
    Journal of the London Mathematical Society 2024 DOI / ARKIV
  • Boris Serafimovich Kruglikov, Eivind Schneider :
    ODEs whose Symmetry Groups are not Fiber-Preserving
    Journal of Lie theory 2023 DOI / ARKIV
  • Boris Kruglikov, Andrea Santi, Dennis The :
    Symmetries of Supergeometries Related to Nonholonomic Superdistributions
    Transformation Groups 2022 DOI / ARKIV
  • Boris Kruglikov, Vladimir S. Matveev :
    Almost every path structure is not variational
    General Relativity and Gravitation 2022 DOI / ARKIV
  • Boris Kruglikov, Wijnand Sebastiaan Steneker :
    Killing tensors in Koutras-McIntosh spacetimes
    Classical and Quantum Gravity 2022 DOI / ARKIV
  • Boris Kruglikov, Andreu Llabrés :
    Differential invariants of curves in G2 flag varieties
    Differential geometry and its applications 2022 DOI / ARKIV
  • S. Berjawi, E.V. Ferapontov, Boris Kruglikov, V.S. Novikov :
    Second-Order PDEs in 3D with Einstein–Weyl Conformal Structure
    Annales Henri Poincaré - A Journal of Theoretical and Mathematical Physics 2021 DOI / ARKIV / ARKIV
  • Boris Kruglikov, Eivind Schneider :
    Differential invariants of Kundt spacetimes
    Classical and Quantum Gravity 07. september 2021 DOI / ARKIV
  • Eugene V. Ferapontov, Boris Kruglikov, Vladimir S Novikov :
    Integrability of Dispersionless Hirota-Type Equations and the Symplectic Monge-Ampère Property
    International Mathematics Research Notices (IMRN) 2021 DOI / ARKIV
  • S. Berjawi, Eugene V. Ferapontov, Boris Kruglikov, Vladimir S Novikov :
    Second-order PDEs in four dimensions with half-flat conformal structure
    Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences 2020 DOI / ARKIV
  • Boris Kruglikov, Andrea Santi, Dennis The :
    G(3)-supergeometry and a supersymmetric extension of the Hilbert–Cartan equation
    Advances in Mathematics 2020 DOI / ARKIV
  • Boris Kruglikov, Henrik Winther :
    Submaximally symmetric quaternion Hermitian structures
    International Journal of Mathematics 2020 DOI / ARKIV
  • David M. J. Calderbank, Boris Kruglikov :
    Integrability via Geometry: Dispersionless Differential Equations in Three and Four Dimensions
    Communications in Mathematical Physics 2020 DOI / ARKIV
  • Boris Kruglikov :
    Blow-ups and infinitesimal automorphisms of CR-manifolds
    Mathematische Zeitschrift 2020 DOI / ARKIV
  • Jørn Olav Jensen, Boris Kruglikov :
    Differential Invariants of Linear Symplectic Actions
    Symmetry 2020 DOI / ARKIV
  • Fredrik Andreassen, Boris Kruglikov :
    Joint Invariants of Linear Symplectic Actions
    Symmetry 2020 DOI / ARKIV
  • Boris Kruglikov, David Duncan McNutt, Eivind Schneider :
    Differential invariants of Kundt waves
    Classical and Quantum Gravity 2019 DOI / ARKIV / ARKIV
  • Evgeny V Ferapontov, Boris Kruglikov :
    Dispersionless integrable hierarchies and GL(2,R) geometry
    Mathematical proceedings of the Cambridge Philosophical Society (Print) 2019 DOI / ARKIV
  • Boris Kruglikov :
    Poincaré function for moduli of differential-geometric structures
    Moscow Mathematical Journal 2019 DOI / ARKIV
  • Boris Doubrov, Evgeny V Ferapontov, Boris Kruglikov, Vladimir S Novikov :
    Integrable Systems in Four Dimensions Associated with Six-Folds in Gr(4, 6)
    International Mathematics Research Notices (IMRN) 2019 DOI / ARKIV
  • Boris Kruglikov :
    Symmetries of second order ODEs
    Journal of Mathematical Analysis and Applications 2018 DOI / ARKIV
  • Boris Kruglikov, Eivind Schneider :
    Differential invariants of Einstein-Weyl structures in 3D
    Journal of Geometry and Physics 2018 DOI / ARKIV
  • Boris Kruglikov :
    Non-existence of orthogonal complex structures on 6-sphere with a metric close to the round one
    Differential geometry and its applications 2018 DOI / ARKIV
  • Boris Doubrov, Evgeny V Ferapontov, Boris Kruglikov, Vladimir S Novikov :
    On integrability in Grassmann geometries: integrable systems associated with fourfolds in Gr(3,5)
    Proceedings of the London Mathematical Society 2018 DOI / ARKIV
  • Sigbjørn Hervik, Boris Kruglikov, Irina Markina, Dennis The :
    Geometry, Lie Theory and Applications: The Abel Symposium 2019
    Springer 2022 ARKIV
  • Boris Serafimovich Kruglikov :
    CR blow-ups and symmetry
    2023 ARKIV
  • Boris Serafimovich Kruglikov :
    Dispersionless integrable systems and parabolic geometry in dimension 5
    2023 ARKIV
  • Boris Serafimovich Kruglikov :
    Revisiting XOX: Dispersionless integrable systems in five dimensions
    2023 ARKIV
  • Boris Serafimovich Kruglikov :
    Large automorphism groups of parabolic geometries
    2023 ARKIV
  • Boris Serafimovich Kruglikov :
    Higher dimensional dispersionless integrable systems
    2023 ARKIV
  • Sigbjørn Hervik, Boris Kruglikov, Irina Markina, Dennis The :
    Geometry, Lie Theory and Applications: The Abel Symposium 2019
    2022 DOI / ARKIV
  • Boris Kruglikov :
    Dispersionless Integrability in Grassmanian Geometry
    2020 ARKIV
  • Boris Kruglikov :
    Relative differential invariants
    2020 ARKIV
  • Boris Kruglikov :
    Blow-ups and Symmetry
    2019 ARKIV
  • Boris Kruglikov :
    Dispersionless Lax pairs: from Zakharov and Penrose to nowadays
    2019 ARKIV
  • Boris Kruglikov, Dennis The :
    The gap phenomenon in symmetry dimensions of geometric structures
    2019 ARKIV
  • Boris Kruglikov :
    On dispersionless integrable equations: from Hirota to general second order equations
    2019 ARKIV
  • Dennis The, Boris Kruglikov, Andrea Santi :
    G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation
    2019 ARKIV
  • Hilja Lisa Huru, Iosif Krasil'shchik, Boris Kruglikov, Vladimir Roubtsov :
    Editors’ preface to the Topical Issue on the Geometry and Algebra of PDEs
    Journal of Geometry and Physics 2019 DOI / ARKIV
  • Boris Kruglikov :
    Blow-ups and infinitesimal automorphisms of CR-manifolds
    2019 ARKIV
  • Boris Kruglikov :
    G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation
    2019 ARKIV
  • Dennis The, Boris Kruglikov, Andrea Santi :
    G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation
    2019 ARKIV

    • De 50 siste resultatene vises på siden. Se alle arbeider i NVA her →

    Forskningsinteresser

    1. Differential Geometry: Local and global analysis of geometric structures on manifolds. Symmetries, equivalences and normal forms. Curvature, involutivity and integrability. Lie theory: pseudogroup actions and differential invariants. Mathematical relativity. Supergeometry and supersymmetry; symmetry breaking.
    2. Differential Equations: Geometric approach to integrability and symmetry analysis. Dispersionless systems. Formal theory of PDEs and symbolic systems. Compatibility and solvability of overdetermined systems. Geometry of jet-spaces and differential algebra.
    3. Dynamical Systems: Hamiltonian dynamics. Topological aspects of integrable systems. Geodesic flows. First integrals (Killing tensors, etc). Entropy of smooth and singular systems. Chaos vs Integrability. Piece-wise affine maps. Evolutionary systems in mathematical physics. Control systems.

    Forskerprofil i NVA
    Registreringer i Munin
    ResearchGate
    ORCID: https://orcid.org/0000-0001-5005-091X

    Medlem i forskningsgruppe / senter

    Geometri og matematisk fysikk   Norsk innhold Geometry and Mathematical Physics   English content MASCOT   English content Geometry and Mathematical Physics   English content

    Medlem i prosjekt

    Pure Mathematics in Norway TFS GRIEG project SCREAM Aurora Center MASCOT Cost Action CALISTA

    CV

    Born: 10 Dec 1970. Kharkov, Ukraine, USSR
    Citizen: Russia & Norway

    Education and Affiliations


    2003 - present:  UiT/University of Tromsø, Department of Mathematics and Statistics. Professor

    1999 - 2003 :  University of Tromsø, Department of Mathematics and Statistics. Associate Professor

    1998 - 1999 : Moscow State Technical University na Baumann, Department of System Analysis. Associate Professor

    1995 - 1998 : Moscow State Technical University na Baumann, Department of Applied Mathematics. Assistant Professor.

    1992-1995 : Moscow State University, Mech-Math Department, Differential Geometry Chair. PhD: thesis "Symplectic geometry of Integrable Hamiltonian Systems", 1 December 1995, Diploma KT 016901

    1985-1992 : Moscow State University, Mech-Math Department, Differential Geometry Chair. Student, Master thesis 25 June 1992, Diploma CV 502285

    Forskningsparken 1 B477


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