Nikita S. Markaryan
- Associate Professor:Faculty of Mathematics
- Research Fellow:Laboratory of Algebraic Geometry and its Applications
- Nikita S. Markaryan has been at HSE University since 2010.
Education and Degrees
- 1999
Candidate of Sciences* (PhD) in Physical and Mathematical Sciences
Steklov Mathematical Institute of the Russian Academy of Sciences
Thesis Title: Projective structures and Hitchin equations - 1995
Degree
Independent University of Moscow
* 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.
Student Term / Thesis Papers
- Bachelor
I. Perunov «Some Calculations on Coulumb Branch». Faculty of Mathematics, 2017
Courses (2019/2020)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Linear Programming (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Sheaf Theory" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Past Courses
Courses (2018/2019)
- Calculus (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Introduction to Algebraic Topology (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Mathematical Computations (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Eng
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
- Research Seminar "Sheaf Theory" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; 2 year, 3 module)Rus
Courses (2017/2018)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Differential Equations (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus
- Mechanics (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Rus
Courses (2016/2017)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Courses (2015/2016)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-3 module)Rus
- Dynamical Systems (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-3 module)Rus
- Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Mathematical Computations (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Eng
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar "Introduction to Seibery-Witten Invariants" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar of Master’s Programme (Master’s programme; Faculty of Mathematics; 2 year, 1-4 module)Eng
- Research Seminar of Master’s Programme (Master’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Singularity Theory 1 (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Singularity Theory 2 (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Courses (2014/2015)
- Dynamical Systems (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Functional Analysis 1 (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
- Functional Analysis 2 (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Rus
- Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 1 year, 4 module)Rus
- Mathematical Computations (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Eng
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar "Homological Methods in Math. Physics and Representation Theory 1" (Master’s programme; Faculty of Mathematics; 1 year, 1, 2 module)Rus
- Research Seminar "Homological Methods in Math. Physics and Representation Theory 2" (Master’s programme; Faculty of Mathematics; 1 year, 3, 4 module)Rus
- Sheaves and Homological Algebra (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
- Supplementary Geometry 1 (Master’s programme; Faculty of Mathematics; 1 year, 1, 2 module)Eng
- Supplementary Geometry 2 (Master’s programme; Faculty of Mathematics; 1 year, 3, 4 module)Eng
- Topology 1 (Bachelor’s programme; Faculty of Mathematics; 4 year, 1, 2 module)Rus
- Topology 1 (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
Courses (2013/2014)
- Differential Geometry 2 (Bachelor’s programme; Faculty of Mathematics; 4 year, 3, 4 module)Rus
- Differential Geometry 2 (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Rus
- Experimental Mathematics (Master’s programme; Faculty of Mathematics; 1 year, 4 module)Eng
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-3 module)Rus
- Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 1 year, 4 module)Rus
- Mathematical Computations (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Eng
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Courses (2012/2013)
- Advanced Topics in Algebra 3 (Master’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Algebraic Geometry (Bachelor’s programme; Faculty of Mathematics; 4 year, 3, 4 module)Rus
- Algebraic Geometry (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Rus
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-3 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 1" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
Research Seminar "Goresky-MacPherson Cohomology 1" (Master’s programme; Faculty of Mathematics; field of study "010100.68 Математика", field of study "010100.68 Математика"; 1 year, 1, 2 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 1" (Bachelor’s programme; Faculty of Mathematics; 4 year, 1, 2 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 1" (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 1" (Master’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 1" (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 2" (Bachelor’s programme; Faculty of Mathematics; 4 year, 3, 4 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 2" (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Rus
Research Seminar "Goresky-MacPherson Cohomology 2" (Master’s programme; Faculty of Mathematics; field of study "010100.68 Математика", field of study "010100.68 Математика"; 1 year, 3, 4 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 2" (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
- Research Seminar "Goresky-MacPherson Cohomology 2" (Master’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
Courses (2011/2012)
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-3 module)Rus
- Homological Algebra (Master’s programme; Faculty of Mathematics; 1 year, 3, 4 module)Rus
- Homological Algebra (Master’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
- Homological Algebra (Master’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Homological Algebra (Bachelor’s programme; Faculty of Mathematics; 4 year, 3, 4 module)Rus
- Homological Algebra (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Rus
- Homological Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
- Research Seminar of the Laboratory of Algebraic Geometry and its Applications (Master’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar of the Laboratory of Algebraic Geometry and its Applications (Bachelor’s programme; Faculty of Mathematics; 4 year, 1-4 module)Rus
- Research Seminar of the Laboratory of Algebraic Geometry and its Applications (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar of the Laboratory of Algebraic Geometry and its Applications (Bachelor’s programme; Faculty of Mathematics; 3 year, 1-4 module)Rus
- Research Seminar of the Laboratory of Algebraic Geometry and its Applications (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Courses (2010/2011)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Homological Algebra (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Rus
Conferences
- 2016
Special session on “Topology and Physics” (Миннеаполис). Presentation: Factorization homology and the Kontsevich integral.
- 2014Гомологические методы в математической физике и теории представлений (Москва). Presentation: n-алгебры Вейля и инварианты многообразий I
- Гомологические методы в математической физике и теории представлений (Москва). Presentation: n-алгебры Вейля и инварианты многообразий II
- 2013XII международная школа по теоретической и математической физике (Севастополь). Presentation: Теорема Римана-Роха. Введение. Теорема Римана-Роха
Publications8
- Article Nikita Markarian. Weyl n-Algebras // Communications in Mathematical Physics. 2017. Vol. 350. No. 2. P. 421-442. doi
- Article Markaryan N. S. Weyl n-algebras and the Kontsevich integral of the unknot // Journal of Knot Theory and Its Ramifications. 2016. Vol. 26. No. 12 doi
- Chapter Tanaka H. L., Markaryan N. S. Factorization Homology in 3-Dimensional Topology, in: Mathematical Aspects of Quantum Field Theories. Springer, 2015. Ch. 7. P. 213-231.
- Article Khoroshkin, A., Markarian, N., Shadrin, S. Hypercommutative Operad as a Homotopy Quotient of BV // Communications in Mathematical Physics. 2013. Vol. 322. No. 3. P. 697-729. doi
- Preprint Khoroshkin A., Markaryan N. S., Shadrin S. Hypercommutative operad as a homotopy quotient of BV / Cornell University. Series math "arxiv.org". 2012. No. 1206.3749. (in press)
- Preprint Nikita Markarian. Manifoldic homology and Chern-Simons formalism / Cornell University. Series math "arxiv.org". 2012. No. 1106.5352v2.
- Article Markaryan N. S. The Atiyah class, Hochschild cohomology and the Riemann-Roch theorem // Journal of London Mathematical Society. 2009. Vol. 79. No. 79(2). P. 129-143.
