Широков Дмитрий Сергеевич

Responsibilities

Head of Laboratory for Geometric Algebra and Applications (2024–present).

Head of Research working group "Algebro-geometric methods in applied sciences" (2023–present) at the Faculty of Economic Sciences.

Head of Research and study group "Clifford algebra and applications'' (2022–present) and organizer of Scientific seminar "Clifford algebra and applications'' (2021–present).

If you would like to take part in our projects, please write to dm.shirokov2021@gmail.com.

Education and Degrees

2023

Doctor of Sciences*
HSE University

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.

* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.

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, and scientific seminars in Russia, Azerbaijan, Belgium, Benin, Brazil, Bulgaria, Czech Republic, Chile, China, Estonia, France, Germany, India, Israel, Morocco, Netherlands, Portugal, Romania, Switzerland, UK (see file with CV).

Professional Interests

applied mathematics algebro-geometric methods linear algebra Clifford algebra field theory mathematical physics

CV_eng (156 Кб)

Awards and Accomplishments

Best Teacher — 2016–2024
Winner of the HSE University Best Russian Research Paper Competition – 2023, 2022
Young Faculty Support Programme (Group of Young Academic Professionals)
Category "Future Professoriate" (2018–2019)
Category "New Lecturers under 30" (2016–2017)

Courses (2024/2025)

Linear Algebra (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 1, 2 module)Rus
Linear Algebra (Bachelor’s programme; Graduate School of Business; 1 year, 1, 2 module)Rus
Past Courses

Timetable for today

Full timetable

Editorial board membership

2023: Member of the Editorial Board , Advances in Applied Clifford Algebras.

2022: Member of the Editorial Board (Review Editor), Frontiers in Physics.

2021: Member of the Editorial Board , Journal of Geometry and Symmetry in Physics.

Grants

Head of the projects:

grant 24-00-001 of the HSE Academic Fund Programme, Research and Study Group "Clifford algebras and applications", 2024,
grant 23-71-10028 of the Russian Science Foundation "Algebraic and geometric methods in field theory and other applications", 2023–2026,
grant 22-00-001 of the HSE Academic Fund Programme, Research and Study Group "Clifford algebras and applications", 2022–2023,
grant 21-71-00043 of the Russian Science Foundation "Algebraic and geometric methods in theory of Yang–Mills equations", 2021–2023,
grant MK-404.2020.1 of the President of the Russian Federation "Some problems of the theory of Clifford algebras arising in mathematical physics", 2020–2021,
grant 20-01-003 of the Academic Fund Program at the HSE University, Individual Research Project "Computational problems in Clifford algebra theory", 2020–2021,
grant 20-11-00009 of the Russian Foundation for Basic Research for publishing the book "Theory of Clifford algebras and spinors", 2020,
grant 18-71-00010 of the Russian Science Foundation "Algebraic and geometric methods in the theory of nonlinear equations of mathematical physics", 2018–2020,
grant 17-01-0009 of the Academic Fund Program at the HSE University, Individual Research Project "Lie groups and Lie algebras in Clifford algebras", 2017–2018,
grant 16-31-00347 of the Russian Foundation for Basic Research "Algebraic and geometric methods in field theory", 2016–2017.

Scientific consultant of the projects:

collective research project of HSE students “Clifford Algebras: computational problems and applications”, 2021.

Performer of the projects:

grant 14-11-00687 of the Russian Science Foundation, 2014–2016,
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.

Dissertation for a degree of Doctor of Science

2023
D. Shirokov Некоторые алгебро-геометрические методы в теории поля и других приложениях

Conferences

2024
International conference “Modern computational technologies of mathematical modeling” dedicated to the 75th anniversary of Professor V.I. Vasil’ev (Якутск). Presentation: On singular value decomposition in Clifford algebras

2023
International Conference on Mathematical Methods in Physics (Маракеш). Presentation: On some Lie groups in degenerate geometric algebras
The 13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (Холон). Presentation: On constant solutions of the Yang–Mills–Dirac equations
The 13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (Холон). Presentation: On some Lie groups in degenerate and non-degenerate Clifford algebras
The 13th International Conference on Clifford Algebras and Their Applications in Mathematical Physics (Холон). Presentation: Basis-Free Formulas for Characteristic Polynomial Coefficients in Clifford Algebras
III International Conference “Mathematical Physics, Dynamical Systems, Infinite-Dimensional Analysis” (Долгопрудный). Presentation: Classification of all constant solutions of SU(2) Yang–Mills equations
The Second International Conference on W.K. Clifford’s Geometric Algebra and Geographic Information Science (Нанкин). Presentation: On singular value decomposition and its modifications in geometric algebras
Computer Graphics International 2023 (Шанхай). Presentation: On Singular Value Decomposition and Polar Decomposition in Geometric Algebras

2022
Computer Graphics International 2022 (Женева). Presentation: On Noncommutative Vieta Theorem in Geometric Algebras
International Conference of Advanced Computational Applications of Geometric Algebra (Денвер). Presentation: On some Lie groups in degenerate geometric algebras,

2021
Математическая физика, динамические системы и бесконечномерный анализ 2021 (Долгопрудный). Presentation: On constant solutions of the Yang--Mills--Dirac equations
Computer Graphics International 2021 (Женева). Presentation: On explicit formulas for characteristic polynomial coefficients in geometric algebras
The 8th Conference on Applied Geometric Algebras in Computer Science and Engineering (Брно). Presentation: On Lie groups defining inner automorphisms that leave invariant fundamental subspaces of geometric algebra
International Conference ''Marchuk Scientific Readings 2021'' (Новосибирск). Presentation: Hyperbolic SVD for obtaining solutions of SU(2) Yang--Mills equations

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

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

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).

9

Sep

2024

Three staff members of the laboratory presented talks at the international conference AGACSE 2024

Shirokov D., Rumiantseva S., and Filimoshina E. gave talks at the conference Applied Geometric Algebras in Computer Science and Engineering 2024 (Amsterdam, Netherlands).

17

Jul

2023

Russian Science Foundation Supports 15 Projects by HSE’s Early-Career Researchers

The Russian Science Foundation has announced the results of the youth contests of the Presidential Programme. HSE University’s early-career researchers are receiving grants for research projects in economics, psychology, sociology, political science, law, mathematics, information science, optics, engineering, and ocean studies.

Dmitrii Shirokov