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Identificação

Identificação pessoal

Nome completo
Ivan Beschastnyi

Nomes de citação

  • Beschastnyi, Ivan

Identificadores de autor

Ciência ID
B012-9DD7-DF94
ORCID iD
0000-0002-4927-7575

Websites

Domínios de atuação

  • Ciências Exatas - Matemática

Idiomas

Idioma Conversação Leitura Escrita Compreensão Peer-review
Russo (Idioma materno)
Inglês Utilizador proficiente (C1) Utilizador proficiente (C1) Utilizador proficiente (C1) Utilizador proficiente (C1) Utilizador proficiente (C1)
Italiano Utilizador proficiente (C2) Utilizador proficiente (C1) Utilizador proficiente (C1) Utilizador proficiente (C2) Utilizador proficiente (C1)
Francês Utilizador independente (B2) Utilizador independente (B2) Utilizador independente (B2) Utilizador proficiente (C1) Utilizador independente (B2)
Português Utilizador independente (B1) Utilizador independente (B1) Utilizador independente (B1) Utilizador independente (B1) Utilizador independente (B1)
Formação
Grau Classificação
2014/10/01 - 2018/09/26
Concluído
 Mathematical Analysis Modelling and Applications (Dottorato di Ricerca)
Scuola Internazionale Superiore di Studi Avanzati Sezione Matematica, Itália
2006/09/01 - 2011/06/27
Concluído
 Automation of industries and technological processes (Laurea Specialistica)
Kaliningradskij gosudarstvennyj tehnicheskij universitet, Rússia
Percurso profissional

Ciência

Categoria Profissional
Instituição de acolhimento 		Empregador
2021/02/01 - 2023/02/01 Pós-doutorado (Investigação) Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2018/10/08 - 2020/11/30 Pós-doutorado (Investigação) Sorbonne Université Campus Pierre et Marie Curie, França
Laboratoire Jacques-Louis Lions, França
2011/10/01 - 2014/09/30 Investigador Contratado (Investigação) Institut Programnih Sistem Rossiyskoy Akademii Nauk, Rússia
Produções

Publicações

Artigo em revista
  1. Ivan Beschastnyi. "Closure of the Laplace-Beltrami Operator on 2D Almost-Riemannian Manifolds and Semi-Fredholm Properties of Differential Operators on Lie Manifolds". Results in Mathematics (2023): https://doi.org/10.1007/s00025-022-01832-z.
    10.1007/s00025-022-01832-z
  2. Ivan Beschastnyi; Karen Habermann; Alexandr Medvedev. "Cartan Connections for Stochastic Developments on sub-Riemannian Manifolds". The Journal of Geometric Analysis 32 1 (2022): https://doi.org/10.1007/s12220-021-00743-9.
    10.1007/s12220-021-00743-9
  3. Andrei Agrachev; Ivan Beschastnyi. "Jacobi fields in optimal control: Morse and Maslov indices". Nonlinear Analysis (2022): https://doi.org/10.1016/j.na.2021.112608.
    10.1016/j.na.2021.112608
  4. Beschastnyi, I.; Boscain, U.; Sigalotti, M.. "An obstruction to small-time controllability of the bilinear Schrödinger equation". Journal of Mathematical Physics 62 3 (2021): http://www.scopus.com/inward/record.url?eid=2-s2.0-85102827378&partnerID=MN8TOARS.
    10.1063/5.0003524
  5. Agrachev, A.; Beschastnyi, I.. "Jacobi Fields in Optimal Control: One-dimensional Variations". Journal of Dynamical and Control Systems 26 4 (2020): 685-732. http://www.scopus.com/inward/record.url?eid=2-s2.0-85078013809&partnerID=MN8TOARS.
    10.1007/s10883-019-09467-0
  6. Barilari, D.; Beschastnyi, I.; Lerario, A.. "Volume of small balls and sub-riemannian curvature in 3d contact manifolds". Journal of Symplectic Geometry 18 2 (2020): 355-384. http://www.scopus.com/inward/record.url?eid=2-s2.0-85090623215&partnerID=MN8TOARS.
    10.4310/JSG.2020.v18.n2.a1
  7. Beschastnyi, I.; Medvedev, A.. "Left-invariant sub-Riemannian Engel structures: Abnormal geodesics and integrability". SIAM Journal on Control and Optimization 56 5 (2018): 3524-3537. http://www.scopus.com/inward/record.url?eid=2-s2.0-85056095878&partnerID=MN8TOARS.
    10.1137/16M1106511
  8. Mashtakov, A.P.; Duits, R.; Sachkov, Y.L.; Bekkers, E.; Beschastnyi, I.Y.. "Sub-Riemannian geodesics in SO(3) with application to vessel tracking in spherical images of retina". Doklady Mathematics 95 2 (2017): 168-171. http://www.scopus.com/inward/record.url?eid=2-s2.0-85019183280&partnerID=MN8TOARS.
    10.1134/S1064562417020181
  9. Mashtakov, A.; Duits, R.; Sachkov, Y.; Bekkers, E.J.; Beschastnyi, I.. "Tracking of Lines in Spherical Images via Sub-Riemannian Geodesics in SO(3)". Journal of Mathematical Imaging and Vision 58 2 (2017): 239-264. http://www.scopus.com/inward/record.url?eid=2-s2.0-85013073139&partnerID=MN8TOARS.
    10.1007/s10851-017-0705-9
  10. Agrachev, A.A.; Beschastnyi, I.Y.. "Symplectic geometry of constrained optimization". Regular and Chaotic Dynamics 22 6 (2017): 750-770. http://www.scopus.com/inward/record.url?eid=2-s2.0-85037614327&partnerID=MN8TOARS.
    10.1134/S1560354717060119
  11. Beschastnyi, I.Yu.; Sachkov, Yu.L.. "Geodesics in the sub-Riemannian problem on the group SO(3)". Sbornik Mathematics 207 7 (2016): 915-941. http://www.scopus.com/inward/record.url?eid=2-s2.0-84991627623&partnerID=MN8TOARS.
    10.1070/SM8555
  12. Beschastnyi, I.Y.. "The optimal rolling of a sphere, with twisting but without slipping". Sbornik Mathematics 205 2 (2014): 157-191. http://www.scopus.com/inward/record.url?eid=2-s2.0-84898971923&partnerID=MN8TOARS.
    10.1070/SM2014v205n02ABEH004370
  13. Beschastnyi, Ivan. "Program to solve the optimal ball reorientation problem (in Russian)". Software & Systems 3 (2013): 252-256. http://www.swsys.ru/index.php?page=article&id=3598&lang=en.
    Publicado
  14. Beschastnyi, Ivan; A. Ardentov; A. Mashtakov; Yu. Sachkov; A. Popov; E. Sachkova. "Algorithms for evaluation position and orientation of UAV (in Russian)". Programmnye sistemy: Teoria i Prilozheniya 3 2 (2012): 23-29. http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=ps&paperid=71&option_lang=rus.
  15. Beschastnyi, Ivan; A. Ardentov; A. Mashtakov; Yu. Sachkov. "Interface for the study of sub-Riemannian geodesics on 3D Lie groups (in Russian)". Software & Systems 4 (2012): 200-203. http://www.swsys.ru/index.php?page=article&id=3342&lang=en.
    Publicado
  16. Beschastnyi, Ivan. "A connection in a fiber bundle associated with a dual plane distribution (in Russian)". Differential geometry of Manifolds and Figures 42 (2011): 12-20.
    Publicado

Outros

Outra produção
  1. Quantum confinement for the curvature Laplacian $-\frac12¿+cK$ on 2D-almost-Riemannian manifolds. 2020. Beschastnyi, Ivan.
Atividades

Apresentação oral de trabalho

Título da apresentação Nome do evento
Anfitrião (Local do evento)
2023/03/15 Stochastic developments on sub-Riemannian manifolds One day workshop in Geometry and Topology
Universidade de Coimbra (Coimbra, Portugal)
2023/01/16 Motion planning via optimal control Seminar of the McTAO team
INRIA Nice (Nice, França)
2022/11/22 Pseudo-differential calculus adapted to Grushin structures Workshop "Singular Perturbations and Geometric Structures"
SISSA (Trieste, Itália)
2022/10/03 "Self-adjoint extensions for the curvature Laplacian on Grushin manifolds" Zero-Range and Point-Like Singular Perturbations: For a Spillover to Analysis, PDE and Differential Geometry
Mathematical Foundation Oberwolfach (Oberwolfach, Alemanha)
2022/07/20 Lie groupoids for sub-Riemannian geometry AMS-SMF-EMS Joint International Meeting
University of Grenoble (Grenoble, França)
2022/03/31 Analysis and Geometry on Almost-Riemannian manifolds Conference "Geometry and Analysis on Non-Compact Manifolds"
CIRM (Luminy, França)
2022/02/16 Constrained variational problems and L-derivatives Conference on Mathematics of Wave Phenomena
(Karlsruhe, Alemanha)
2021/09/23 Quantum confinement on almost-Riemannian manifolds Séminaire Théorie de Lie, Géométrie et Analyse
Université de Lorraine (Metz, França)
2021/06/25 Lie groupoids and the minimal domain of the Laplace operator on almost-Riemannian manifolds Sub-Riemannian seminars (online)
2021/01/25 Strange quantum phenomena on almost-Riemannian manifold Complex and Hypercomplex Analysis Seminar
CIDMA, University of Aveiro (Aveiro, Portugal)
2020/07/07 L-derivatives for optimal control Geometric theory of optimal control
Lomonosov Moscow state University (Moscou, Rússia)
2020/01/16 Symplectic methods in optimisation problems Mathematical colloquia
University of Utrecht (Utrecht, Países Baixos)
2019/12/16 Semi-classical obstructions to small time controllability of the Schroedinger equation Workshop ``Quantum day: analysis and control''
Sorbonne University (Paris, França)
2019/10/09 Semi-classical obstructions to small time controllability of the Schrödinger equation Workshop ``Journée CAGE-McTAO''
INRIA (Sofia Antipolis, França)
2019/03/19 Jacobi fields in optimal control Séminaire GAD
Universite' Nice Sophia Antipolis (Nice, França)
2019/03/09 Semiclassical obstructions to zero time controllability XXVIII International Fall Workshop on Geometry and Physics
ICMAT (Madrid, Espanha)
2018/06/28 L-derivatives and singularities of Jacobi curves Workshop "Sub-Riemannian Geometry and Topolo(gy)"
(Topolo, Itália)
2018/04/15 Almost-Riemannian Geometry of the Two-Sphere International youth conference "Geometry and Control"
Steklov Mathematical Institute of RAS (Moscou, Rússia)
2018/02/14 Monotone curves and Morse-type theorems School-Workshop "Recent advances in Hamiltonian dynamics and symplectic topology"
University of Padova (Padua, Itália)
2017/01/25 Sub-Riemannian Engel models Seminaire de Geometrie sous-Riemannienne
Institut Henri Poincare (Paris, França)
2016/05/10 L-derivatives for optimal control problems Conference "Geometric Analysis in Control and Vision Theory"
(Voss, Noruega)
2014/05/14 Sub-Riemannian problem on the group SO(3) Control Theory Seminar
Lomonosov Moscow State University (Moscou, Rússia)
2013/09/17 Sub-Riemannian problems on SU(2) and SO(3) 34th International Conference on Quantum Probability and Related Topics
(Moscou, Rússia)
2013/07/08 Sub-Riemannian problems on SO(3) and SU(2) International conference on mathematical control theory and mechanics
(Suzdal, Rússia)

Orientação

Título / Tema
Papel desempenhado 		Curso (Tipo)
Instituição / Organização
2023/01/01 - Atual Mean value property in sub-Riemannian geometry
Orientador
 Matemática (Mestrado)
Universidade de Aveiro, Portugal
2023/01/01 - Atual Modeling of videogame economics
Orientador
 Matemática (Mestrado)
Universidade de Aveiro, Portugal
2023/01/01 - Atual Gauss-Bonnet-Chern theorem for almost-Riemannian manifolds
Orientador
 Matemática (Mestrado)
Universidade de Aveiro, Portugal
2018/10/01 - 2022/11/08 Spectral properties of the Second Variation of an optimal control problem
Coorientador
 Mathematical Analysis, Modelling and Applications (Doutoramento)
Scuola Internazionale Superiore di Studi Avanzati Sezione Matematica, Itália

Organização de evento

Nome do evento
Tipo de evento (Tipo de participação) 		Instituição / Organização
2021/02/24 - Atual The online seminar Analysis and Differential Geometry International Seminar (ADGIS@Aveiro) is jointly organized by the research groups CHAG and OGTCG, as well as by the thematic line PICS. It aims to bring together specialists from analysis and geometry with particular emphasis on partial differential equations, differential geometry, analysis on filtered manifolds, singular (differential) operators, spectral theory, and their connections to other fields. (2021/02/24)
Seminário (Coorganizador)
 Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2022/05/05 - 2022/05/05 One day workshop in Differential Geometry. One day workshop dedicated to recent advances in differential geometry in broad spectrum of topics. https://sites.google.com/view/dgaveiro/home (2022/05/05 - 2022/05/05)
Conferência (Presidente da Comissão Organizadora)
 Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal

Curso / Disciplina lecionado

Disciplina Curso (Tipo) Instituição / Organização
2022/10/01 - 2023/01/01 Seminário de Álgebra e Geometria (36 hours) Seminário de Álgebra e Geometria (Mestrado) Universidade de Aveiro, Portugal
2021/10/01 - 2022/01/31 Seminário de Álgebra e Geometria (36 hours) (Mestrado) Universidade de Aveiro, Portugal
2021/10/01 - 2022/01/31 Calculus of variations (36 hours) (Doutoramento)
2020/01/09 - 2020/01/11 Systemes Dynamiques: Analyse et Stabilite (16 hours) (Master) École Nationale Supérieure de Techniques Avancées, França
2019/11/01 - 2020/01/01 Systemes Dynamiques: Analyse et Stabilite (6 hours) (Master) École Nationale Supérieure de Techniques Avancées, França
2019/10/01 - 2019/12/29 Matematiques pour les etudes scientifiques I (52 hours) (Licence) Sorbonne Université Campus Pierre et Marie Curie, França
2018/02/01 - 2018/04/01 Introduction to Probability theory and Statistics (20 hours) (Licence) Università degli Studi di Trieste, Itália
2013/09/01 - 2015/01/20 Teaching assistant for Analysis I-III (132 hours) (Licence) Universitet Pereslavlya-Zalesskogo, Rússia
Distinções

Outra distinção

2021 CIDMA Fellows
Universidade de Aveiro Centro de Investigação e Desenvolvimento em Matemática e Aplicações, Portugal
2018 Inria Fellow
Inria Centre de Recherche de Paris, França