Maxim Kazaryan
- Professor:Faculty of Mathematics / Joint Department with the Steklov Mathematical Institute (RAS)
- Academic Supervisor:Faculty of Mathematics / International Laboratory of Cluster Geometry
- Maxim Kazaryan has been at HSE University since 2008.
Education and Degrees
- 2003
Doctor of Sciences*
- 1988
Degree
Ordzhonikidze Moscow Aviation Institute
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Research interests
Topology, geometry, singularity theory, characteristic classes, moduli spaces:
Application of the methods in singularity theory to enumerative problems of complex geometry and to the study of the stratification of moduli spaces of curves and meromorphic functions
Courses (2023/2024)
- Research Seminar "Combinatorics of Invariants 1" (Optional course (faculty); 1, 2 module)Eng
- Research Seminar "Combinatorics of Invariants 2" (Master’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Eng
- Research Seminar "Combinatorics of Invariants 2" (Optional course (faculty); 3, 4 module)Eng
- Research Seminar "Intersection Theory and Characteristic Classes 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Intersection Theory and Characteristic Classes 2" (Optional course (faculty); 3, 4 module)Rus
- Past Courses
Courses (2022/2023)
- Characteristic Classes and Thom Polynomials (Optional course (faculty); 3, 4 module)Rus
- Critical Points of Functions (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Combinatorics of Invariants 1" (Optional course (faculty); 1, 2 module)Eng
- Research Seminar "Combinatorics of Invariants 2" (Optional course (faculty); 3, 4 module)Eng
Courses (2020/2021)
- Characteristic Classes (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Introduction to Algebraic Topology (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 1 year, 2-4 module)Rus
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
- Research Seminar (Postgraduate course’s programme; 2 year, 1 semester)Rus
- Research Seminar "Combinatorics of Vassiliev Invariants 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Combinatorics of Vassiliev Invariants 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Courses (2019/2020)
- Calculus (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
- Research Seminar "Combinatorics of Vassiliev Invariants 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Combinatorics of Vassiliev Invariants 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Differential Geometry" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Mathematics Practical Training" (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Conferences
- 20165th Workshop on Combinatorics of Moduli Spaces, Hurwitz numbers, and cohomological field theories (Москва). Presentation: Universal cohomological expressions for strata in genus zero Hurwitz spaces
- 2014The Legacy of Vladimir Arnold (Торонто). Presentation: On Salmon's enumeration of tangential singularities
- 4th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion (Москва (Moscow)). Presentation: Enumeration of Grotendieck's dessins 2: Topological recursion
- 2013
Integrable Systems an Moduli Spaces (
Publications25
- Article Bychkov B., Dunin-Barkowski P., Kazaryan M., Shadrin S. Generalised Ordinary vs Fully Simple Duality for n-Point Functions and a Proof of the Borot–Garcia-Failde Conjecture. // Communications in Mathematical Physics. 2023. Vol. 402. P. 665-694. doi
- Article Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian, Shadrin S. Explicit closed algebraic formulas for Orlov–Scherbin n-point functions // Journal de l'Ecole Polytechnique - Mathematiques. 2022. Vol. 9. P. 1121-1158. doi
- Article Dunin-Barkowski P., Kazaryan M., Popolitov A., Shadrin S., Sleptsov A. Topological Recursion for the extended Ooguri–Vafa partition function of colored HOMFLY-PT polynomials of torus knots // Advances in Theoretical and Mathematical Physics. 2022. Vol. 26. No. 4. P. 793-833. doi
- Article Казарян М. Э., Ландо С. К. Весовые системы и инварианты графов и вложенных графов // Успехи математических наук. 2022. Т. 77. № 5(467). С. 131-184. doi
- Article Kazaryan M., Lando S., Zvonkine D. Double Hurwitz Numbers and Multisingularity Loci in Genus 0 // International Mathematics Research Notices. 2021. P. 1-30. doi
- Article Kazaryan M., Lando S., Natanzon S. M. On framed simple purely real Hurwitz numbers // Izvestiya. Mathematics. 2021. Vol. 85. P. 1-30. doi
- Article Maxim Kazarian. Recursion for Masur-Veech volumes of moduli spaces of quadratic differentials // Journal of the Institute of Mathematics of Jussieu. 2021. P. 1-6. doi
- Article Kazaryan M., Uribe-Vargas R. Characteristic points, fundamental cubic form and Euler characteristic of projective surfaces // Moscow Mathematical Journal. 2020. Vol. 20. No. 3. P. 511-530. doi
- Article Chmutov S., Kazaryan M., Lando S. Polynomial graph invariants and the KP hierarchy // Selecta Mathematica, New Series. 2020. Vol. 26. No. 3. P. 1-22. doi
- Book Казарян М. Э., Ландо С. К., Прасолов В. В. Алгебраические кривые. По направлению к пространствам модулей. М. : МЦНМО, 2019.
- Book Kazaryan M., Lando S., Prasolov V. Algebraic curves. Towards moduli spaces / Пер. с рус. Switzerland : Springer, 2018. doi
- Article Zograf P., Kazaryan M. Rationality in map and hypermap enumeration by genus / Пер. с рус. // St Petersburg Mathematical Journal. 2018. Vol. 29. P. 439-445. doi
- Article Kazaryan M., Zvonkine D., Lando S. Universal Cohomological Expressions for Singularities in Families of Genus 0 Stable Maps // International Mathematics Research Notices. 2018. No. 22. P. 6817-6843. doi
- Article Зограф П. Г., Казарян М. Э. Рациональность перечисления карт и гиперкарт по роду // Алгебра и анализ. 2017. Т. 29. № 3. С. 23-33.
- Article Dunin-Barkowski Petr, Kazarian Maxim, Orantin N., Shadrin S., Spitz L. Polynomiality of Hurwitz numbers, Bouchard-Mariño conjecture, and a new proof of the ELSV formula // Advances in Mathematics. 2015. Vol. 279. P. 67-103. doi
- Article Kazaryan M., Zograf P. Virasoro constraints and topological recursion for Grothendieck's dessin counting // Letters in Mathematical Physics. 2015. Vol. 105. No. 8. P. 1057-1084. doi
- Article Казарян М. Э., Ландо С. К. Комбинаторные решения интегрируемых иерархий // Успехи математических наук. 2015. Т. 70. № 3. С. 70-106. doi
- Article Kazaryan M., Lando S. Topological Relations on Witten–Kontsevich and Hodge Potentials // Moscow Mathematical Journal. 2012. Vol. 12. No. 2. P. 397-411.
- Chapter Ландо С. К., Казарян М. Э. Приложение: Алгебро-геометрическое доказательство гипотезы Виттена // В кн.: Графы на поверхностях и их приложения. М. : МЦНМО, 2010.
- Article Kazaryan M. KP hierarchy for Hodge integrals // Advances in Mathematics. 2009. No. 221 (1). P. 1-21.
- Article Lando S., Kazaryan M. An algebro-geometric proof of Witten's conjecture // Journal of the American Mathematical Society. 2007. Vol. 20. No. 4. P. 1079-1089.
- Article Kazaryan M., Shapiro B. Giambelli formula for subbundles in the tangent bundle // Pacific Journal of Mathematics. 2007. No. 1(230). P. 233-255.
- Article Казарян М. Э., Ландо С. К. К теории пересечения на пространствах Гурвица // Известия РАН. Серия математическая. 2004. Т. 68. № 5
- Article Lando S., Kazaryan M., Habsieger L. On the second number of Plutarch // American Mathematical Monthly. 1998. Vol. 105. No. 5
After Turning Down Offers in New York and Berlin, Chinese Student Pursues Mathematics Training at HSE
For DaoDao Yang, a native of Dali, China, choosing a programme in mathematics came down to the decision of where he felt most challenged and most comfortable. This ultimately meant turning down offers at New York University and the Berlin Mathematical School to accept an offer from the Master’s programme at the Higher School of Economics. In an extensive interview with the HSE news service, Dao Dao recently spoke about what led him to choose HSE for his postgraduate study; his impressions of the programme, its professors and his fellow students; and his future plans.