- Academic Supervisor:International Laboratory for Mirror Symmetry and Automorphic Forms
- Ludmil Katzarkov has been at HSE University since 2017.
Education and Degrees
Pennsylvania State University
Degree in Mathematics
Lomonosov Moscow State University
- Research Seminar "Birational Invariants from Symplectic Topology 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Birational Invariants from Symplectic Topology 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Article Katzarkov L., Sheshmani A., Borisov D. Shifted symplectic structures on derived Quot-stacks I – Differential graded manifolds – // Advances in Mathematics. 2022. Vol. 403. Article 108369. doi
- Article Katzarkov L., Pandit P., Spaide T. Calabi-Yau structures, spherical functors, and shifted symplectic structures // Advances in Mathematics. 2021. Vol. 392. Article 108037. doi
- Article Katzarkov L., Lupercio E., Meersseman L., Verjovsky A. Quantum (non-commutative) toric geometry: Foundations // Advances in Mathematics. 2021. Vol. 391. Article 107945. doi
- Article Katzarkov L., Akhmedov A. Symplectic surgeries along certain singularities and new Lefschetz fibrations // Advances in Mathematics. 2020. Vol. 360. P. 1-23. doi
- Article Katzarkov L., Dimitrov G. Bridgeland stability conditions on wild Kronecker quivers // Advances in Mathematics. 2019. Vol. 352. P. 27-55. doi
- Article Harder A., Katzarkov L. Perverse sheaves of categories and some applications // Advances in Mathematics. 2019. Vol. 352. P. 1155-1205. doi
- Article Katzarkov L., Soriani L. Homological Mirror Symmetry, coisotropic branes and P = W // European Journal of Mathematics. 2018. Vol. 4. P. 1141-1160. doi
- Article Katzarkov L. On the derived categories of degree d hypersurface fibrations // Mathematische Annalen. 2018. Vol. 371. No. 1-2. P. 337-370. doi
- Book Algebra, Geometry, and Physics in the 21st Century / Ed. by D. Auroux, L. Katzarkov, T. Pantev, Y. Soibelman, Y. Tschinkel. Birkhäuser, 2017. doi
- Article Katzarkov L., Kontsevich M., Pantev T. Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models // Journal of Differential Geometry. 2017. Vol. 105. No. 1. P. 55-117. doi
- Article Ballard M., Deliu D., Favero D., Isik M. U., Katzarkov L. Homological projective duality via variation of geometric invariant theory quotients // Journal of the European Mathematical Society. 2017. Vol. 19. No. 4. P. 1127-1158. doi
- Article Katzarkov L., Gross M., Ruddat H. Towards mirror symmetry for varieties of general type // Advances in Mathematics. 2017. Vol. 308. P. 208-275. doi
- Article Katzarkov L., Dimitrov G. Bridgeland Stability Conditions on the Acyclic Triangular Quiver // Advances in Mathematics. 2016. Vol. 288. P. 825-886. doi
- Article Katzarkov L., Abouzaid M., Auroux D. Lagrangian Fibrations on Blowups of Toric Varieties and Mirror Symmetry for Hypersurfaces // Publications Mathématiques de l'IHÉS. 2016. Vol. 123. No. 1. P. 199-282. doi
- Chapter Katzarkov L., Harder A., Liu Y. Perverse sheaves of categories and non-rationality, in: Geometry Over Nonclosed Fields. Springer, 2016. P. 53-96. doi
- Article Galkin S., Katzarkov L., Mellit A., Shinder E. Derived categories of Keum's fake projective planes // Advances in Mathematics. 2015. Vol. 278. P. 238-253. doi
- Book The Influence of Solomon Lefschetz in Geometry and Topology: 50 Years of Mathematics at CINVESTAV / Ed. by L. Katzarkov, E. Lupercio, F. J. Turrubiates. Vol. 621. American Mathematical Society, 2014. doi
- Article Przyjalkowski V., Katzarkov L. Generalized Homological Mirror Symmetry and cubics // Proceedings of the Steklov Institute of Mathematics. 2009. No. 264. P. 87-95.
- Article Katzarkov L., Yotov M., Orlov D. O., Kapustin A. Homological mirror symmetry for manifolds of general type // Central European Journal of Mathematics. 2009. No. 7:4
- Article Orlov D. O., Katzarkov L., Auroux D. Mirror symmetry for weighted projective planes and their noncommutative deformations // Annals of Mathematics. 2008. No. 167:3. P. 867-943.
Alexander Efimov, a research fellow at the International Laboratory for Mirror Symmetry and Automorphic Forms of HSE University, has been awarded the European Mathematical Society’s prestigious Prize.
Mirror symmetry is a relatively new field of mathematics which came into being in the 1990s. In 2017, HSE opened the International Laboratory for Mirror Symmetry and Automorphic Forms. The December conference, ‘Mirror Symmetry and Applications’, was a commemoration of its first year of operation.
‘Mirror Symmetry Was Discovered by Physicists, But Very Quickly Got the Attention of Mathematicians…’
The HSE International Laboratory for Mirror Symmetry and Automorphic Forms, which is among several international laboratories to recently open within the Higher School of Economics, was created in December 2016 as part of the Russian government’s mega-grants program. Below, the lab’s academic supervisor, Ludmil Katzarkov, along with deputy heads Valery Gritsenko and Viktor Przyjalkowski, explain why the laboratory is fully capable of becoming a unique multidisciplinary unit dedicated to the study of mirror symmetry, automorphic forms, and number theory.