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Dmitrii Shirokov

  • Dmitrii Shirokov has been at HSE University since 2015.

Education and Degrees

  • 2013

    Candidate of Sciences* (PhD) in Mathematical physics, Steklov Mathematical Institute of Russian Academy of Sciences

  • 2009

    Degree
    Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

* Candidate of Sciences
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.

Continuing education / Professional retraining / Internships / Study abroad experience

Scientific visits:

  • University College London (London, UK), April 1 - May 15, 2018;
  • Chinese Academy of Sciences, Academy of Mathematics and Systems Science (Beijing, China), April 9 - May 23, 2019.

Participated with talks and lectures at international conferences / symposia / summer schools / scientific seminars in Russia, Azerbaijan, Belgium, Brazil, Bulgaria, Chile, China, Estonia, France, Germany, India, Morocco, Romania, Switzerland, UK (see file with CV).

Awards and Accomplishments

Best Teacher – 2020, 2019, 2018, 2017, 2016

Young Faculty Support Program (Group of Young Academic Professionals)
Category "Future Professoriate" (2018-2019)
Category "New Lecturers under 30" (2016-2017)

Courses (2020/2021)

Courses (2019/2020)

Courses (2018/2019)

Courses (2017/2018)

Courses (2016/2017)

Grants

Head of the projects:

  • grant 16-31-00347 "Algebraic and geometric methods in field theory" of the Russian Foundation for Basic Research, 2016 - 2017,
  • grant 17-01-0009 "Lie groups and Lie algebras in Clifford algebras" of the Academic Fund Program at the HSE University, 2017 - 2018,
  • grant 18-71-00010 "Algebraic and geometric methods in the theory of nonlinear equations of mathematical physics" of the Russian Science Foundation, 2018 - 2020,
  • grant 20-11-00009 of the Russian Foundation for Basic Research for publishing the book "Theory of Clifford algebras and spinors", 2020,
  • grant 20-01-003 "Computational problems in Clifford algebra theory" of the Academic Fund Program at the HSE University, 2020 - 2021,
  • grant MK-404.2020.1 "Some problems of the theory of Clifford algebras arising in mathematical physics" of the President of the Russian Federation, 2020 - 2021.

Performer of the projects:

  • grant 11-01-00828-a of the Russian Foundation for Basic Research, 2011 - 2013,
  • grant NSh-2928.2012.1 of the President of RF for the Leading Scientific Schools, 2012 - 2013,
  • grant 8215 of the Ministry of Education and Science of the Russian Federation, 2012 - 2013,
  • grant 14-11-00687 of the Russian Science Foundation, 2014 - 2016.

 Scientific consultant of the projects:

  • initiative collective research project of HSE students "Clifford algebras: computational problems and applications", 2021.

Editorial board membership

2019: Guest Editor, Advances in Applied Clifford Algebras.

Publications

20212

20205

20191

Article Shirokov D. Calculation of elements of spin groups using method of averaging in Clifford`s geometric algebra // Advances in Applied Clifford Algebras. 2019. Vol. 29. No. 50. P. 1-12. doi

20183

20171

Article Shirokov D. Method of averaging in Clifford algebras // Advances in Applied Clifford Algebras. 2017. Vol. 27. No. 1. P. 149-163. doi

20164

20153

20133

20124

20113

20101

Article Shirokov D. A classification of Lie algebras of pseudo-unitary groups in the techniques of Clifford algebras // Advances in Applied Clifford Algebras. 2010. Vol. 20. No. 2. P. 411-425.

20091

Article Широков Д. С. Классификация элементов алгебр Клиффорда по кватернионным типам // Доклады Академии Наук. Математика. 2009. Т. 427. № 6. С. 758-760.

20081

Article Shirokov D., Marchuk N. Unitary spaces on Clifford algebras // Advances in Applied Clifford Algebras. 2008. Vol. 18. No. 2. P. 237-254. doi

Conferences

  • 2020
    9th International Conference on Mathematical Modeling (Якутск). Presentation: On determinant and inverses in Clifford algebras
  • The 12th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA12) (Хэфэй). Presentation: On determinant, other characteristic polynomial coefficients, and inverses in Clifford algebras
  • Computer Graphics International (CGI) 2020 (Женева). Presentation: On basis-free solution to Sylvester equation in geometric algebra
  • International Conference on Mathematical Physics in Memory of Academic V. S. Vladimirov (Москва). Presentation: On some equations modeling the Yang-Mills equations
  • 2019
    International Conference on Mathematical Methods in Physics (Марракеш). Presentation: Method of averaging in Clifford algebras and applications
  • International Symposium on Wen-Tsun Wu's Academic Thought and Mathematics Mechanization (Пекин). Presentation: SVD and hyperbolic SVD for obtaining solutions of SU(2) Yang-Mills equations
  • The 2nd JNMP Conference on Nonlinear Mathematical Physics (Сантьяго). Presentation: On constant solutions of SU(2) Yang-Mills equations
  • International Conference "Mathematical Physics, Dynamical Systems and Infinite-Dimensional Analysis" (Долгопрудный). Presentation: On constant solutions of SU(2) Yang-Mills equations
  • 4th Alterman Conference on Computational and Geometric Algebra-cum-Workshop on Kahler Calculus (Манипал). Presentation: Method of averaging in Clifford algebras and applications
  • IX-th International Conference "Solitons, Collapses and Turbulence: Achievements, Developments and Perspectives" (SCT-19) in honor of Vladimir Zakharov's 80th birthday (Ярославль). Presentation: Classiffcation of all constant solutions of SU(2) Yang-Mills equations with arbitrary current
  • International Bogolyubov Conference "Problems of theoretical and mathematical physics" (Москва - Дубна). Presentation: On constant solutions of SU(2) Yang-Mills equations
  • 2018
    Operators, Functions, and Systems of Mathematical Physics Conference (Баку). Presentation: On some solutions of Yang-Mills equations with SU(2) gauge symmetry
  • The 7th Conference on Applied Geometric Algebras in Computer Science and Engineering (AGACSE) (Кампинас). Presentation: Calculation of elements of spin groups using method of averaging in Clifford’s geometric algebra
  • International conference ``Modern Mathematical Physics. Vladimirov-95'' (Москва). Presentation: On some solutions of Yang-Mills equations with SU(2) gauge symmetry
  • 2017
    International Summer School “Hypercomplex Numbers, Lie Groups, and Applications” (Варна). Presentation: Introduction to the theory of Clifford algebras (5 лекций)
  • International Conference on Mathematical Modeling (Якутск). Presentation: Local generalized Pauli’s theorem and one field equation
  • The 11th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (ICCA11) (Гент). Presentation: Yang-Mills equations and Clifford algebras
  • 2016
    Alterman Conference on Geometric Algebra and Summer School on Kahler Calculus (Брашов). Presentation: On some Lie groups containing Spin groups in Clifford algebra
  • VI Russian-Armenian Conference on Mathematical Analysis, Mathematical Physics and Analytical Mechanics (Ростов-на-Дону). Presentation: Covariantly constant solutions of the Yang-Mills equations
  • New trends in Mathematical and Theoretical Physics (Москва). Presentation: Covariantly constant solutions of the Yang-Mills equations
  • The 2nd French-Russian Conference ``Random Geometry and Physics'' (Париж). Presentation: On connection between two sets of higher-dimensional gamma matrices and a primitive field equation
  • 2014
    International Scientific Conference PHYSICAL AND MATHEMATICAL PROBLEMS OF ADVANCED TECHNOLOGY DEVELOPMENT (PhysMathTech-2014) (Москва). Presentation: New class of gauge invariant solutions of Yang-Mills equations
  • The Fourth International Conference on Mathematical Physics and Its Applications (Самара). Presentation: Method of contractions in Clifford algebras with applications to the field theory equations
  • The 10th International Conference on Clifford Algebras and their Applications (ICCA10) (Тарту). Presentation: The method of contractions in Clifford algebras
  • International conference “Representations, Dynamics, Combinatorics: in the Limit and Beyond” in honor of Anatoly Vershik’s 80th birthday (Санкт-Петербург). Presentation: Vershik’s combinatorial approach and phase transitions in the classical thermodynamics
  • 2012
    The Third International Conference on Mathematical Physics and Its Applications (Самара). Presentation: Generalization of Pauli’s theorem on the case of Clifford algebras
  • Взаимодействие математики и физики: новые перспективы (Москва). Presentation: Generalization of Pauli’s theorem on the case of Clifford algebra
  • The 5th conference on Applied Geometric Algebras in Computer Science and Engineering (AGACSE), (La Rochelle). Presentation: Calculation of elements of spin groups using Generalized Pauli’s theorem
  • 2011
    8th International ISAAC Congress (Москва). Presentation: Pauli’s fundamental theorem for Clifford algebras
  • The 9th International Conference on Clifford Algebras and their Applications (ICCA9) (Weimar). Presentation: Quaternion types of Clifford algebra elements, basis-free approach
  • 2010
    The Second International Conference on Mathematical Physics and Its Applications (Самара). Presentation: Structure of Euclidean and unitary space on hypercomplex number systems
  • 2008
    Ломоносовские чтения (Москва). Presentation: Method of quaternion typification of Clifford algebra elements

Employment history

2014 - present: Kharkevich Institute for Information Transmission Problems of Russian Academy of Sciences, Moscow, Researcher in Laboratory 7 (2014 - 2015), Senior Researcher in M.S.Pinsker Laboratory 1 (2015 - present);

2014 - 2016: Bauman Moscow State Technical University, Faculty of Fundamental Sciences, Department of Higher Mathematics, Moscow, Assistant (2014), Associate Professor (2014 - 2016);

2015 - present: HSE University, Faculty of Economic Sciences, Department of Mathematics, Moscow, Senior Lecturer (2015-2016), Associate Professor (2016 - present).

 

Lecturer of special courses in Research and Education Center of Steklov Mathematical Institute of Russian Academy of Sciences:

  •  "Clifford algebra and spinors" (lectures), 2011,
  •  "Clifford algebras and field theory equations", 2014,
  •  "Foundations of the theory of Clifford algebras and spinors" (lectures), 2021;

 Lectuter and seminarist of courses in Bauman Moscow State Technical University:

  •  "Analytic geometry", 2014 - 2015,
  •  "Mathematical analysis", 2015,
  •  "Integrals and differential equations", 2014, 2016,

Seminarist of courses in Bauman Moscow State Technical University:

  •  "Linear algebra and multivariable functions", 2014,
  •  "Theory of probability and mathematical statistics", 2015,
  •  "Theory of functions of a complex variable and operational calculus", 2015;

Lecturer and seminarist of courses in HSE University:

  •  "Algebra and geometry" (Faculty of Business and Management), 2015 - 2020,
  •  "Linear algebra" (Graduate School of Business), 2020 - present,
  •  "Linear algebra" (Faculty of Economic Sciences), 2015 - present,
  •  "Foundation of the theory of Clifford algebras" (for master students), 2019 - 2020,
  •  "Foundations of the theory of Clifford algebras and spinors'' (Open optional course), 2020 - 2021;

Seminarist of courses in HSE University:

  •  "Mathematical analysis-2" (Faculty of Computer Science), 2015,
  •  "Linear algebra and geometry" (Faculty of Computer Science), 2015;

Lecturer of course at the International Summer School "Hypercomplex numbers, Lie groups, and Applications":

  •  "Clifford algebras and their applications to Lie groups and spinors"  (lectures), 2017.

Timetable for today

Full timetable