Ekaterina Filimoshina
- Research Assistant, Doctoral Student: Faculty of Economic Sciences / Laboratory for Geometric Algebra and Applications
- Lecturer: Faculty of Economic Sciences / Department of Mathematics
- Ekaterina Filimoshina has been at HSE University since 2024.
Responsibilities
Research Assistant at Laboratory for Geometric Algebra and Applications (2024 – present) and Lecturer at Department of Mathematics at the Faculty of Economic Sciences (2023 – present).
Participant of Research and study group 'Clifford algebras and matrix methods: theory and applications' (2026 – present) and 'Clifford algebras and applications' (2022 – 2025).
Secretary of scientific seminars 'Clifford algebra and matrix methods: theory and applications' and 'Quaternions, geometric algebras, and applications'.
Education
Skolkovo Institute of Science and Technology
HSE University
HSE University
Awards and Accomplishments
- Young Faculty Support Programme (Group of Young Academic Professionals)

Category "New Researchers" (2024–2025)
Postgraduate Studies
Approved topic of thesis: Equivariant Neural Networks Based on Clifford Geometric Algebras
Academic Supervisor: Dmitry Shirokov
Courses (2025/2026)
- Linear Algebra (Bachelor’s programme; Faculty of Economic Sciences field of study Economics; 1 year, 1, 2 module)Rus
- Linear Algebra (Bachelor’s programme; Faculty of Economic Sciences field of study Business Informatics; 1 year, 1, 2 module)Rus
- Past Courses
Courses (2024/2025)
- Linear Algebra (Bachelor’s programme; HSE Graduate School of Business field of study Business Informatics; 1 year, 1, 2 module)Rus
Courses (2023/2024)
- Linear Algebra (Bachelor’s programme; HSE Graduate School of Business field of study Business Informatics; 1 year, 1, 2 module)Rus
Conferences
- 2025
International Joint Conference on Neural Networks (Рим). Presentation: Equivariant Neural Networks with Geometric Algebras: A New Approach
International Conference on Machine Learning (Ванкувер). Presentation: GLGENN: A Novel Parameter-Light Equivariant Neural Networks Architecture Based on Clifford Geometric Algebras
Fall into ML 2025 (Москва). Presentation: GLGENN: A Novel Parameter-Light Equivariant Neural Networks Architecture Based on Clifford Geometric Algebras
III-я научная конференция факультета компьютерных наук НИУ ВШЭ (Вороново). Presentation: GLGENN: A Novel Parameter-Light Equivariant Neural Networks Architecture Based on Clifford Geometric Algebras
- 2024
Empowering Novel Geometric Algebra for Graphics & Engineering, Computer Graphics International (Женева). Presentation: Generalized Degenerate Clifford and Lipschitz Groups
Applied Geometric Algebras in Computer Science and Engineering 2024 (Амстердам). Presentation: On Generalized Degenerate Lipschitz and Spin Groups
- 2023
International Conference on Mathematical Methods in Physics (Марракеш). Presentation: On some Lie groups in degenerate geometric algebras
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
Алгебры Ли, алгебраические группы и теория инвариантов (Москва). Presentation: О некоторых группах и алгебрах Ли в алгебрах Клиффорда
- 2022
International Cоnference of Advanced Computational Applications of Geometric Algebra (Денвер). Presentation: On some Lie groups in degenerate geometric algebras
Grants
Participant of scientific projects:
- Research and Study Group 'Clifford algebras and matrix methods: theory and applications', grant 26-00-017 of the HSE Academic Fund Programme (2026)
- Project 'Quaternions, geometric algebras, and applications' within the competition 'Mirror Laboratories' of HSE University (2024–2026)
- Project 'Algebraic-geometric methods in field theory and other applications', grant 23-71-10028 of the Russian Science Foundation (2023–2026)
- Research and Study Group 'Clifford algebras and applications', grant 24-00-001 of the HSE Academic Fund Programme (2024–2025)
- Research and Study Group 'Clifford algebras and applications', grant 22-00-001 of the HSE Academic Fund Programme (2022–2023)
Head of scientific projects:
- Collective research project of students 'Clifford algebras: computational problems and applications', HSE University, Centre for Student Academic Development (2021)
Employment history
08.2024 - present — Research Assistant, Laboratory for Geometric Algebra and Applications, HSE University
09.2024 - present — Lecturer, Department of Mathematics, Faculty of Economic Sciences, HSE University
10.2023 - 12.2024 — Research Assistant, Department of Mathematics, Faculty of Economic Sciences, HSE University
09.2023 - 12.2023 — Visiting Lecturer, Department of Mathematics, Faculty of Economic Sciences, HSE University
The 18th session of the seminar 'Quaternions, geometric algebras, and applications' took place
Ekaterina Filimoshina continued a talk 'On Degenerate Pseudo-orthogonal Groups and Lipschitz Groups'.
The 17th session of the seminar 'Quaternions, geometric algebras, and applications' took place
Ekaterina Filimoshina gave a talk 'On Degenerate Pseudo-orthogonal Groups and Lipschitz Groups'.
Congratulations to Ekaterina Filimoshina, winner of the Student Research Paper Competition 2025 held by HSE University!
Ekaterina Filimoshina, a doctoral student and research assistant at the Laboratory for Geometric Algebra and Applications and a lecturer at the Department of Mathematics at the Faculty of Economic Sciences at HSE University, won the Student Research Paper Competition 2025 in Computer Science.
The International School for Students and Young Scientists 'Quaternions, Geometric Algebras and Applications' 2025 was held.
From November 14 to 16, 2025, the online school 'Quaternions, Geometric Algebras, and Applications' was held, attended by researchers from Russia, China, Japan, the USA, Peru, and India.
'We View Mathematics as a Universal Language for Natural Sciences, Economics, and Computer Science'
The Laboratory for Geometric Algebra and Applications at the HSE Faculty of Economic Sciences is developing a universal language for mathematics, physics, and other exact and natural sciences. It is creating computational methods that are applied in geometry, physics, machine learning, engineering, computer science, and other fields. The laboratory’s staff, including doctoral students, have published numerous articles in leading scientific journals and have taken part in major international conferences. Dmitry Shirokov, Head of the Laboratory, spoke with the HSE News Service about their work.
Congratulations to laboratory member Ekaterina Filimoshina for winning the best poster prize at the Faculty of Computer Science Scientific Conference 2025!
Ekaterina Filimoshina, a member of the Faculty of Economics's Department of Mathematics and the Laboratory for Geometric Algebra and Applications, received the prize for the best poster at the third Faculty of Computer Science Scientific Conference, which took place from October 26 to 29, 2025, at the HSE Voronovo Educational Center.
HSE Researchers Introduce Novel Symmetry-Aware Neural Network Architecture
Researchers at the HSE Laboratory for Geometric Algebra and Applications have developed a new neural network architecture that can accelerate and streamline data analysis in physics, biology, and engineering. The scientists presented their solution on July 16 in Vancouver at ICML 2025, one of the world's leading conferences on machine learning. Both the paper and the source code are publicly available.
The 11th session of the seminar 'Quaternions, geometric algebras, and applications' took place
Ekaterina Filimoshina (HSE University) presented a talk 'GLGENN: A Novel Parameter-Light Equivariant Neural Networks Architecture Based on Clifford Geometric Algebras'..
Ekaterina Filimoshina presented a talk at the International Conference on Machine Learning (ICML 2025) in Vancouver, Canada
E. Filimoshina presented scientific results at the international conference ICML (A-CONF list).
Ekaterina Filimoshina presented a talk at the International Joint Conference on Neural Networks (Rome, Italy)
E. Filimoshina presented a paper on the application of geometric algebras to neural networks at the IJCNN 2025 conference.
Ekaterina Filimoshina’s Master’s Thesis Recognized as the Best in the Joint HSE–Skoltech Program
Ekaterina’s work has been recognized as the best master’s thesis in the 2025 graduating class of the joint HSE and Skoltech educational program 'Mathematics of Machine Learning'.
Three papers by laboratory staff members are published in international book series
The works of S.V. Rumyantseva, E.R. Filimoshina and D.S. Shirokov are published in Lecture Notes in Computer Science.
Congratulations to Laboratory Staff Member Ekaterina Filimoshina on Winning the Student Research Paper Competition 2024!
Ekaterina Filimoshina, a staff member of the Laboratory for Geometric Algebra and Applications, won the Student Research Paper Competition 2024 in the field of Computer Science.
The School for Students and Young Scientists 'Quaternions, Geometric Algebras, and Applications' was held
From November 15 to 17, 2024, the School 'Quaternions, Geometric Algebras, and Applications' took place, organized as part of the corresponding Mirror Laboratories project.
D. Shirokov and E. Filimoshina took part in the School for Scientific Leaders and the IV Congress of Young Scientists.
D. Shirokov and E. Filimoshina participated in the School for Scientific Leaders (November 24-29, Sochi) and the IV Congress of Young Scientists (November 27-29, Sirius, Sochi).
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).