Bilde av Kruglikov, Boris
Bilde av Kruglikov, Boris
Professor Department of Mathematics and Statistics boris.kruglikov@uit.no +4777644779 You can find me here

Boris Kruglikov


  • Boris Serafimovich Kruglikov, Omid Makhmali :
    Zero-curvature subconformal structures and dispersionless integrability in dimension five
    Journal of the London Mathematical Society 2024 DOI
  • Boris Serafimovich Kruglikov, Eivind Schneider :
    ODEs whose Symmetry Groups are not Fiber-Preserving
    Journal of Lie theory 2023 ARKIV / DOI
  • Boris Kruglikov, Andrea Santi, Dennis The :
    Symmetries of Supergeometries Related to Nonholonomic Superdistributions
    Transformation Groups 2022 ARKIV / DOI
  • Boris Kruglikov, Andreu Llabrés :
    Differential invariants of curves in G2 flag varieties
    Differential geometry and its applications 2022 ARKIV / DOI
  • Boris Kruglikov, Wijnand Sebastiaan Steneker :
    Killing tensors in Koutras-McIntosh spacetimes
    Classical and Quantum Gravity 2022 ARKIV / DOI
  • Boris Kruglikov, Vladimir S. Matveev :
    Almost every path structure is not variational
    General Relativity and Gravitation 2022 ARKIV / DOI
  • 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
  • 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 ARKIV / DOI
  • Boris Kruglikov, Eivind Schneider :
    Differential invariants of Kundt spacetimes
    Classical and Quantum Gravity 07. September 2021 ARKIV / DOI
  • Boris Kruglikov :
    Blow-ups and infinitesimal automorphisms of CR-manifolds
    Mathematische Zeitschrift 2020 ARKIV / DOI
  • Boris Kruglikov, Henrik Winther :
    Submaximally symmetric quaternion Hermitian structures
    International Journal of Mathematics 2020 DOI
  • David M. J. Calderbank, Boris Kruglikov :
    Integrability via Geometry: Dispersionless Differential Equations in Three and Four Dimensions
    Communications in Mathematical Physics 2020 ARKIV / DOI
  • Fredrik Andreassen, Boris Kruglikov :
    Joint Invariants of Linear Symplectic Actions
    Symmetry 2020 ARKIV / DOI
  • Boris Kruglikov, Andrea Santi, Dennis The :
    G(3)-supergeometry and a supersymmetric extension of the Hilbert–Cartan equation
    Advances in Mathematics 2020 ARKIV / DOI
  • Jørn Olav Jensen, Boris Kruglikov :
    Differential Invariants of Linear Symplectic Actions
    Symmetry 2020 ARKIV / DOI
  • 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 ARKIV / DOI
  • Boris Kruglikov :
    Poincaré function for moduli of differential-geometric structures
    Moscow Mathematical Journal 2019 ARKIV / DOI
  • Evgeny V Ferapontov, Boris Kruglikov :
    Dispersionless integrable hierarchies and GL(2,R) geometry
    Mathematical proceedings of the Cambridge Philosophical Society (Print) 2019 ARKIV / DOI
  • Boris Kruglikov, David Duncan McNutt, Eivind Schneider :
    Differential invariants of Kundt waves
    Classical and Quantum Gravity 2019 ARKIV / DOI
  • 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 ARKIV / DOI
  • Boris Kruglikov :
    Symmetries of second order ODEs
    Journal of Mathematical Analysis and Applications 2018 DOI
  • 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
  • Boris Kruglikov, Eivind Schneider :
    Differential invariants of Einstein-Weyl structures in 3D
    Journal of Geometry and Physics 2018 FULLTEKST / DATA / ARKIV / DOI
  • Boris Kruglikov, Kentaro Tomoda :
    A criterion for the existence of Killing vectors in 3D
    Classical and Quantum Gravity 2018 DOI
  • 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
  • Boris Kruglikov, Dennis The :
    The gap phenomenon in parabolic geometries
    Journal für die Reine und Angewandte Mathematik 2017 ARKIV / DOI
  • Boris Kruglikov, Henrik Winther :
    Erratum to: Almost complex structures in 6D with nondegenerate Nijenhuis tensors and large symmetry groups
    Annals of Global Analysis and Geometry 2017 ARKIV / DOI
  • Boris Kruglikov, Henrik Winther :
    Non-degenerate para-complex structures in 6D with large symmetry groups
    Annals of Global Analysis and Geometry 2017 ARKIV / DOI
  • Sigbjørn Hervik, Boris Kruglikov, Irina Markina, Dennis The :
    Geometry, Lie Theory and Applications: The Abel Symposium 2019
    Springer 2022
  • Boris Serafimovich Kruglikov :
    Higher dimensional dispersionless integrable systems
    2023 DATA
  • Boris Serafimovich Kruglikov :
    Large automorphism groups of parabolic geometries
    2023 DATA
  • Boris Serafimovich Kruglikov :
    Dispersionless integrable systems and parabolic geometry in dimension 5
    2023 DATA
  • Boris Serafimovich Kruglikov :
    CR blow-ups and symmetry
    2023 DATA
  • Boris Serafimovich Kruglikov :
    Revisiting XOX: Dispersionless integrable systems in five dimensions
    2023 DATA
  • Sigbjørn Hervik, Boris Kruglikov, Irina Markina, Dennis The :
    Geometry, Lie Theory and Applications: The Abel Symposium 2019
    Springer 2022 DOI
  • Boris Kruglikov :
    Relative differential invariants
    2020
  • Boris Kruglikov :
    Dispersionless Integrability in Grassmanian Geometry
    2020
  • Boris Kruglikov :
    On dispersionless integrable equations: from Hirota to general second order equations
    2019
  • Boris Kruglikov :
    G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation
    2019
  • Boris Kruglikov :
    Blow-ups and Symmetry
    2019
  • Boris Kruglikov :
    Dispersionless Lax pairs: from Zakharov and Penrose to nowadays
    2019
  • Dennis The, Boris Kruglikov, Andrea Santi :
    G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation
    2019
  • Dennis The, Boris Kruglikov, Andrea Santi :
    G(3)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation
    2019
  • Boris Kruglikov, Dennis The :
    The gap phenomenon in symmetry dimensions of geometric structures
    2019
  • Boris Kruglikov :
    Blow-ups and infinitesimal automorphisms of CR-manifolds
    2019
  • 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
  • Boris Kruglikov :
    Differential Invariants: Calculus and Count
    2017
  • Boris Kruglikov :
    Orthogonal complex structures near the round S^6
    2017
  • Boris Kruglikov :
    Integrable dispersionless systems via the geometry of solutions and the solutions spaces
    2017
  • Boris Kruglikov :
    Rigidity of 2-step Carnot algebras
    2017

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    Research interests

    Differential-geometric structures, differential invariants of pseudogroup actions, geometry of differential equations, integrability of equations of mathematical physics, Lie theory and mathematical relativity, supersymmetry and symmetry breaking.