Dmitry Kaledin
- Laboratory Head:Laboratory of Algebraic Geometry and Its Applications
- Leading Research Fellow:Faculty of Mathematics
- Dmitry Kaledin has been at HSE University since 2009.
Education, Degrees and Academic Titles
- 2015Professor of the Russian Academy of Sciences
- 2008
Doctor of Sciences* in Mathematical Logic, Algebra and Number Theory
- 2002
Degree
Independent University of Moscow - 1995
PhD
Массачусетский технологический университет
* 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 (2022/2023)
- Research Seminar "Geometric Structures on Manifolds 1" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Geometric Structures on Manifolds 2" (Optional course (faculty); 3, 4 module)Rus
- Research Seminar "Homotopical Algebra and Topos Theory" (Optional course (faculty); 3, 4 module)Eng
Editorial board membership
1994: Member of the Editorial Board, International Mathematical Research Notes.
Conferences
- 2022Dynamics in Siberia 2022 (Новосибирск). Presentation: Homotopy types and higher symmetries
- Геометрические структуры на многообразиях 2022 (Москва). Presentation: Что образуют абелевы категории
- 2021
Семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Абелевы категории и некоммутативная геометрия
- Primorye Mathematical Fair (Владивосток). Presentation: Representability theorems and homotopy types
Multidimensional Residues and Tropical Geometry (Сочи). Presentation: Witt vectors ring and the residue map
- Summer Geometry Fest (Moscow). Presentation: Bokstedt, Bokstein and Bott
- 2017Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Brown representability for groupoids
Interactions between Representation Theory and Algebraic Geometry (Чикаго). Presentation: Witt vectors, commutative and non-commutative
- 2016Еженедельный семинар Лаборатории алгебраической геометрии (Москва). Presentation: Hodge-to-de Rham degeneration
Hochschild Cohomology in Algebra, Geometry, and Topology (Обервольфах). Presentation: Witt vectors as a polynomial functor
Congreso Latinoamericanо de Matematicos (Баранкилья). Presentation: TQFT in the context of homotopical algebra
COMSA 2016 (Антофагаста). Presentation: Witt vectors, commutative and non-commutative
VI Latin American Conference on Lie Groups & Geometry (Антафагаста). Presentation: Roots of unity, positive characteristic, and deformation quantization
- 2015Homological Mirror Symmetry and Geometry (Coral Gables). Presentation: "Different kinds of cyclic homology" ("Циклические гомологии другого рода")
- Hyperkachler Manofolds and Related Structures in Algebraic and Differential Geometry (Тренто). Presentation: Quantization and Rozansky-Witten invariants
- 2014Conference on Homological Mirror Symmetry (Coral Gables). Presentation: Cyclic homology of a different kind
- Interactions between Algebraic Geometry and Noncommutative Algebra (Обервольфах (Oberwolfach)). Presentation: Cyclotomic Mackey Functors
- First Caucasian Mathematics Conference (CMC I) (Тбилиси). Presentation: "Hochschild-Witt homology and syntomic K-theory"
- V Annual Conference of the Georgian Mathematical Union (Батуми). Presentation: On p-typical curves in algebraic K-theory
- Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: О p-типических кривых в алгебраической K- теории
- Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Квантование алгебраических многообразий по Федосову
- Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Обобщенные комплексные структуры в смысле Хитчина и поверхности Дель Пеццо
- Еженедельный семинар "Геометрические структуры на многообразиях" (Москва (Moscow)). Presentation: Теория деформаций и уравнение Маурера-Картана
- Курс лекций "Motivic structures in non-commutative geometry" (Пхохан (Pohang)). Presentation: De Rham cohomology in char p and Dieudonne modules
- Курс лекций "Motivic structures in non-commutative geometry" (Пхохан (Pohang)). Presentation: Cyclic homology, mixed complexes, and cyclic category $\Lambda$
- Курс лекций "Motivic structures in non-commutative geometry" (Пхохан (Pohang)). Presentation: Mackey functors
- Курс лекций "Motivic structures in non-commutative geometry" (Пхохан (Pohang)). Presentation: Cyclotomic Mackey functors and cyclotomic complexes
- 2013Conference on Homological Mirror Symmetry (Майами). Presentation: Beilinson-Kato conjecture for finite-dimensional algebras
- Third Latin Congress on Symmetries in Geometry and Physics (São Luís, Maranhão). Presentation: Introduction to homological non-commutative geometry
- Workshop on Birational Geometry and Geometric Invariant Theory (Вена). Presentation: Hochschild-Witt homology
- Workshop "DT-invariants in Paris" (Париж). Presentation: Hochschild-Witt homology
- Representation Theory and applications to Combinatorics, Geometry and Quantum Physics (Moscow). Presentation: Cyclic homology of a different kind
- Workshop "Quantum and motivic cohomology, Fano varieties and mirror symmetry" (Санкт-Петербург (Saint-Petersburg)). Presentation: Hochschild-Witt homology
- Workshop on Group actions and homotopy theory (Копенгаген). Presentation: Trace functors and localization
- Workshop ”Symplectic Algebraic Geometry” (Киото). Presentation: Hyperkaehler metrics and mixed Hodge structures
- Летняя школа "Современная математика" (Дубна). Presentation: Суммы квадратов, простые числа, конечные поля и алгебраическая геометрия (3 лекции)
- 2012Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва (Moscow)). Presentation: Вектора Витта, от Тейхмюллера до наших дней
Publications37
- Article Kaledin D. Adjunction in 2-categories // Russian Mathematical Surveys. 2020. Vol. 75. No. 5. P. 883-927. doi
- Article Kaledin D. Hochschild-Witt complex // Advances in Mathematics. 2019. Vol. 351. P. 33-95. doi
- Preprint Kaledin D., Konovalov A., Magidson K. Spectral algebras and non-commutative Hodge-to-de Rham degeneration / Cornell University. Series arXiv "math". 2019.
- Article Kaledin D., Konovalov A., Magidson K. Спектральные алгебры и вырождение некоммутативной спектральной последовательности Ходжа–де Рама // Proceedings of the Steklov Institute of Mathematics. 2019. Vol. 307. P. 63-77. doi
- Article Kaledin D. Bokstein homomorphism as a universal object // Advances in Mathematics. 2018. Vol. 324. P. 267-325. doi
- Article Kaledin D. Co-periodic cyclic homology // Advances in Mathematics. 2018. Vol. 334. P. 81-150. doi
- Article Kaledin D. Witt vectors as a polynomial functor // Selecta Mathematica, New Series. 2018. Vol. 24. No. 1. P. 359-402. doi
- Article Каледин Д. Б. Вектора Витта, коммутативные и некоммутативные // Успехи математических наук. 2018. Т. 73. № 1. С. 3-34. doi
- Chapter Kaledin D. Spectral Sequences for Cyclic Homology, in: Algebra, Geometry, and Physics in the 21st Century / Ed. by D. Auroux, L. V. Katzarkov, T. Pantev, Y. Soibelman, Y. Tschinkel. Birkhäuser, 2017. doi P. 99-129. doi
- Article Baranovsky V., Ginzburg V., Kaledin D., Pecharich J. Quantization of line bundles on lagrangian subvarieties // Selecta Mathematica, New Series. 2016. Vol. 22. No. 1. P. 1-25. doi
- Preprint Kaledin D. Witt vectors as a polynomial functor / Cornell University. Series arXiv "math". 2016.
- Preprint Kaledin D. Bokstein homomorphism as a universal object / Cornell University. Series math "arxiv.org". 2015.
- Preprint Kaledin D. Co-periodic cyclic homology / Cornell University. Series math "arxiv.org". 2015.
- Article Kaledin D., Lowen W. Cohomology of exact categories and (non-)additive sheaves // Advances in Mathematics. 2015. Vol. 272. P. 652-698. doi
- Article Kaledin D., Kuznetsov A. Refined blowups // Mathematical Research Letters. 2015. Vol. 22. No. 6. P. 1717-1732. doi
- Chapter Kaledin D. Trace theories and localization, in: Contemprorary Mathematics Vol. 643: Stacks and Categories in Geometry, Topology, and Algebra. American Mathematical Society, 2015. doi doi
- Article Каледин Д. Б. Изоморфизм Картье для ассоциативных алгебр с единицей // Труды Математического института им. В.А. Стеклова РАН. 2015. Т. 290. С. 43-60. doi
- Article Kaledin D. Appendix to "Holography principle for twistor spaces" // Pure and Applied Mathematics Quarterly. 2014. Vol. 10. No. 2. P. 348-354. doi
- Chapter Kaledin D. Beilinson Conjecture for Finite-dimensional Associative Algebras, in: The Influence of Solomon Lefschetz in Geometry and Topology: 50 Years of Mathematics at CINVESTAV / Ed. by L. V. Katzarkov, E. Lupercio, F. J. Turrubiates. Vol. 621. American Mathematical Society, 2014. doi Ch. 6. P. 77-89. doi
- Preprint D. Kaledin, A. Kuznetsov. Refined blowups / Cornell University. Series math "arxiv.org". 2014.
- Article Kaledin D. Beilinson conjecture for finite-dimensional associative algebras // Contemporary Mathematics Series. 2013
- Preprint D. Kaledin. Beilinson conjecture for finite-dimensional associative algebras / Cornell University. Series math "arxiv.org". 2013.
- Preprint D. Kaledin. Trace theories and localization / Cornell University. Series math "arxiv.org". 2013.
- Article Каледин Д. Б. Циклотомические комплексы // Известия РАН. Серия математическая. 2013. Т. 77. № 5. С. 3-70.
- Chapter Dmitry Kaledin. Homology of infinite loop spaces, in: Derived Categories in Algebraic Geometry: Tokyo 2011. Zürich : European Mathematical Society Publishing house, 2012. P. 111-121.
- Article Kaledin D. Universal Witt Vectors and the “Japanese Cocycle” // Moscow Mathematical Journal. 2012. Vol. 12. No. 3. P. 593-604.
- Article Kaledin D. Derived Mackey functors // Moscow Mathematical Journal. 2011. Vol. 11. No. 4. P. 723-803.
- Chapter Kaledin D. Motivic Structures in Non-commutative Geometry, in: Proceedings of the International Congress of Mathematicians 2010 (ICM 2010) Vol. 2. New Delhi : Hindustan Book Agency, 2010. P. 461-496.
- Article Ilyashenko Y., Gusein-Zade S., Kaledin D. A tribute to Pierre Deligne // Moscow Mathematical Journal. 2009. No. 9:1
- Article Kaledin D. Cyclic homology with coefficients // Progress in Mathematics. 2009. No. 270. P. 23-47.
- Article Kaledin D. Geometry and topology of symplectic resolutions // Proceedings of Symposia in Pure Mathematics. 2009. Vol. 80. No. 2. P. 595-628.
- Article Каледин Д. Б. Normalization of a Poisson algebra is Poisson // Труды Математического института им. В.А. Стеклова РАН. 2009. № 264:1. С. 70-73.
- Article Kaledin D. Derived equivalences by quantization // Geometric and Functional Analysis. 2008. No. 17:6. P. 1968-2004.
- Article Kaledin D. Non-commutative Hodge-to-de Rham degeneration via the method of Deligne-Illusie // Pure and Applied Mathematics Quarterly. 2008. No. 4:3. P. 785-875.
- Article Kaledin D. Some remarks on formality in families // Moscow Mathematical Journal. 2007. No. 7:4. P. 643-652.
- Book Kaledin D., Verbitsky M. Hyperkahler manifolds Vol. 12. Somerville : International Press, 1999.
‘We Managed to Create Another Centre of Mathematical Life in Moscow’
In celebration of Russia’s Year of Science and Technology, we continue our series about HSE University’s international laboratories, which are headed by world-class scientists and scholars. The first of these, the Laboratory of Algebraic Geometry and Its Applications, was established in October 2010. Below, Laboratory Head Dmitry Kaledin discusses the Lab’s history, research, achievements, and current activities.
Laboratory researchers won the grant competitions of the "BASIS" Foundation
Dmitry Kaledin, Konstantin Shramov and Nikon Kurnosov won research grant competitions of the "BASIS" Foundation