Elena Novikova
- Professor:HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE) / School of Applied Mathematics
- Elena Novikova has been at HSE University since 2012.
Education, Degrees and Academic Titles
- 2024
Doctor of Sciences*
HSE University
Thesis Title: Coherent states for quantum models with non-Lie symmetry algebras - 2000Associate Professor
- 1997
Candidate of Sciences* (PhD) in Mathematical Physics
Moscow State Institute of Electronics and Mathematics
Thesis Title: Integral representations of exact and semiclassical solutions. Method of averaging and coherent states. - 1992
Degree in Applied mathematics
Moscow Institute of Electronic Engineering, Department of Applied 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.
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.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Courses (2023/2024)
- Equations of Mathematical Physics (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 3, 4 module)Rus
- Symmetries, Representations and Complex Analysis (Mago-Lego; 1, 2 module)Rus
- Past Courses
Courses (2022/2023)
- Equations of Mathematical Physics (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 3, 4 module)Rus
- Mathematical methods and computer technology (mentor seminar) (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
Operator and Geometric Methods of Dynamics (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); field of study "01.04.04. Прикладная математика", field of study "01.04.04. Прикладная математика", field of study "01.04.02. Прикладная математика и информатика", field of study "01.04.02. Прикладная математика и информатика"; 2 year, 1, 2 module)Rus
- Symmetries, Representations and Complex Analysis (Mago-Lego; 1, 2 module)Rus
- Symmetries, Representations and Complex Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1, 2 module)Rus
Courses (2021/2022)
- Equations of Mathematical Physics (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 3, 4 module)Rus
- Mathematical methods and computer technology (mentor seminar) (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1-4 module)Rus
Symmetries, Representations and Complex Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); field of study "01.04.02. Прикладная математика и информатика", field of study "01.04.04. Прикладная математика"; 1 year, 1, 2 module)Rus
Courses (2020/2021)
- Equations of Mathematical Physics (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 3, 4 module)Rus
- Symmetries, Representations and Complex Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1, 2 module)Rus
Courses (2019/2020)
- Equations of Mathematical Physics (Bachelor’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 3 year, 3, 4 module)Rus
- Research Seminar (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 2 year, 1-3 module)Rus
- Symmetries, Representations and Complex Analysis (Master’s programme; HSE Tikhonov Moscow Institute of Electronics and Mathematics (MIEM HSE); 1 year, 1, 2 module)Rus
Publications16
- Article Novikova E. Three-Dimensional Analog of the Zero-Order Hankel Transform // Mathematical notes. 2023. Vol. 114. No. 5. P. 1072-1078. doi
- Article Novikova E. Coherent Schwartz distributions of the Heisenberg algebra and inverted oscillator // Journal of Mathematical Physics. 2022. Vol. 63. No. 12. Article 123507. doi
- Article Novikova E. On calculating the coefficients in the quantum averaging procedure for the Hamiltonian of the resonance harmonic oscillator perturbed by a differential operator with polynomial coefficients // Russian Journal of Mathematical Physics. 2021. Vol. 28. No. 3. P. 406-410. doi
- Article Novikova E. Algebra of Symmetries of Three-Frequency Hyperbolic Resonance // Mathematical notes. 2019. Vol. 106. No. 6. P. 940-956. doi
- Article Karasev M., Novikova E. Algebra of Symmetries of Three-Frequency Resonance: Reduction of a Reducible Case to an Irreducible Case // Mathematical notes. 2018. Vol. 104. No. 5-6. P. 833-847. doi
- Article Karasev M., Novikova E., Vybornyi E. Bi-states and 2-level systems in rectangular Penning traps // Russian Journal of Mathematical Physics. 2017. Vol. 24. No. 4. P. 454-464. doi
- Article Karasev M., Novikova E., Vybornyi E. Instantons via breaking geometric symmetry in hyperbolic traps // Mathematical notes. 2017. Vol. 102. No. 5-6. P. 776-786. doi
- Article Karasev M., Novikova E., Vybornyi E. Non-Lie Top tunneling and Quantum bilocalization in Planar Penning Trap // Mathematical notes. 2016. Vol. 100. No. 6. P. 807-819. doi
- Article M.V.Karasev, E.M.Novikova. Planar Penning trap with combined resonance and top dynamics on quadratic algebra // Russian Journal of Mathematical Physics. 2015. Vol. 22. No. 4. P. 463-468.
- Article M.V. Karasev, E.M. Novikova. Eigenstates of the quantum Penning-Ioffe nanotrap at resonance / Пер. с рус. // Theoretical and Mathematical Physics. 2014. Vol. 179. No. 3. P. 729-746. doi
- Article Karasev M., Novikova E. Inserted perturbations generating asymptotical integrability // Mathematical notes. 2014. Vol. 96. No. 6. P. 965-970. doi
- Article M.V. Karasev, E.M. Novikova. Secondary Resonances in Penning Traps. Non-Lie Symmetry Algebras and Quantum States // Russian Journal of Mathematical Physics. 2013. Vol. 20. No. 3. P. 283-294. doi
- Article Blagodyreva O. V., Karasev M., Novikova E. Cubic Algebra and Averaged Hamiltonian for the Resonance 3:(-1) Penning-Ioffe Trap // Russian Journal of Mathematical Physics. 2012. Vol. 19. No. 4. P. 441-450. doi
- Article Новикова Е. М. Аналитическое моделирование наблюдаемых и состояний водородоподобного центра. I. Квадратичная алгебра. // Наноструктуры. Математическая физика и моделирование. 2012. Т. 7. № 1. С. 107-124.
- Article Karasev M., Novikova E. Algebra and quantum geometry of multifrequency resonance // Izvestiya. Mathematics. 2010. Vol. 74. No. 6. P. 1155-1204.
- Article Novikova E. Minimal basis of the symmetry algebra for three-frequency resonance // Russian Journal of Mathematical Physics. 2009. Vol. 16. No. 4. P. 518-528. doi