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Kaledin Dmitry Borisovich
(recent publications)

by years

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2026
1.	D. Kaledin, Enhancement for Categories and Homotopical Algebra, Collected papers, Trudy Mat. Inst. Steklova, 332, Steklov Math. Inst., Moscow, 2026 (to appear)
2.	D. Kaledin, “Enhancement for categories and homotopical algebra. V. Semiexactness”, Enhancement for Categories and Homotopical Algebra, Collected papers, Trudy Mat. Inst. Steklova, 332, Steklov Math. Inst., Moscow, 2026 (to appear)
3.	D. Kaledin, “Enhancement for categories and homotopical algebra. IV. Localization”, Enhancement for Categories and Homotopical Algebra, Collected papers, Trudy Mat. Inst. Steklova, 332, Steklov Math. Inst., Moscow, 2026 (to appear)
4.	D. Kaledin, “Enhancement for categories and homotopical algebra. III. Simplices”, Enhancement for Categories and Homotopical Algebra, Collected papers, Trudy Mat. Inst. Steklova, 332, Steklov Math. Inst., Moscow, 2026 (to appear)
5.	D. Kaledin, “Enhancement for categories and homotopical algebra. II. Orders”, Enhancement for Categories and Homotopical Algebra, Collected papers, Trudy Mat. Inst. Steklova, 332, Steklov Math. Inst., Moscow, 2026 (to appear)
6.	D. Kaledin, “Enhancement for categories and homotopical algebra. I. Category theory”, Enhancement for Categories and Homotopical Algebra, Collected papers, Trudy Mat. Inst. Steklova, 332, Steklov Math. Inst., Moscow, 2026 (to appear)
7.	Sovremennaya algebraicheskaya geometriya, Sbornik statei. K 60-letiyu akademika Dmitriya Olegovicha Orlova, Trudy MIAN, 334, ed. S. O. Gorchinskii, D. B. Kaledin, A. G. Kuznetsov, MIAN, M., 2026

2025
8.	Russian Math. Surveys, 80:2 (2025), 227–298
9.	D. B. Kaledin, “On $2$-categories of extensions”, Sb. Math., 216:12 (2025), 1693–1712

2024
10.	Anton Fonarev, Dmitry Kaledin, “Bökstedt periodicity generator via $K$-theory”, Israel J. Math., 261 (2024), 695–715
11.	D. Kaledin, “Taming large categories”, São Paulo J. Math. Sci., 18 (2024), 773–800	2 ^[x]

2022
12.	D. B. Kaledin, “What do Abelian categories form?”, Russian Math. Surveys, 77:1 (2022), 1–45

2020
13.	D. V. Kaledin, “Adjunction in 2-categories”, Russian Math. Surveys, 75:5 (2020), 883–927

2019
14.	D. Kaledin, “Hochschild-Witt complex”, Adv. Math., 351 (2019), 33–95	1 ^[x]
15.	D. B. Kaledin, A. A. Konovalov, K. O. Magidson, “Spectral Algebras and Non-commutative Hodge-to-de Rham Degeneration”, Proc. Steklov Inst. Math., 307 (2019), 51–64

2018
16.	D. B. Kaledin, “Witt vectors, commutative and non-commutative”, Russian Math. Surveys, 73:1 (2018), 1–30
17.	D. Kaledin, “Bokstein homomorphism as a universal object”, Adv. Math., 324 (2018), 267–325	2 ^[x]
18.	D. Kaledin, “Witt vectors as a polynomial functor”, Selecta Math. (N.S.), 24:1 (2018), 359–402	5 ^[x]
19.	D. Kaledin, “Co-periodic cyclic homology”, Adv. Math., 334 (2018), 81–150	3 ^[x]
20.	D. Kaledin, “How to glue derived categories”, Bull. Math. Sci., 8:3 (2018), 477–602	5 ^[x]

2017
21.	D. Kaledin, “Spectral Sequences for Cyclic Homology”, Algebra, Geometry and Physics in the XXI century (Kontsevich Festschrift), Prog. Math., 324, 2017, 99–129	14 ^[x]

2016
22.	Vladimir Baranovsky, Victor Ginzburg, Dmitry Kaledin, Jeremy Pecharich, “Quantization of line bundles on lagrangian subvarieties”, Selecta Math. (N.S.), 22:1 (2016), 1–25	15 ^[x]

2015
23.	D. Kaledin, W. Lowen, “Cohomology of exact categories and (non-)additive sheaves”, Adv. Math., 272 (2015), 652–698	7 ^[x]
24.	D. Kaledin, “Cartier Isomorphism for Unital Associative Algebras”, Proc. Steklov Inst. Math., 290 (2015), 35–51
25.	D. Kaledin, “Trace theories and localization”, Stacks and categories in geometry, topology, and algebra, Contemp. Math., 643, Amer. Math. Soc., Providence, RI, 2015, 227–262	14 ^[x]
26.	D. Kaledin. A. Kuznetsov, “Refined blowups”, Math. Res. Lett., 22:6 (2015), 1717-1732
27.	D. Kaledin, “$K$-theory as an Eilenberg-Mac Lane spectrum”, Documenta Mathematica, 2015, Extra vol.: Alexander S. Merkurjev's sixtieth birthday, 335–365

2013
28.	D. B. Kaledin, “Cyclotomic complexes”, Izv. Math., 77:5 (2013), 855–916

2012
29.	D. Kaledin, “Universal Witt vectors and the Japanese cocycle”, Moscow Math. J., 12:3 (2012), 593–604	2 ^[x]
30.	D. Kaledin, “Homology of infinite loop spaces”, Derived categories in algebraic geometry (Tokyo, 2011), eds. Yujiro Kawamata, EMS, 2012, 111–121

2011
31.	D. Kaledin, “Derived Mackey functors”, Mosc. Math. J., 11:4 (2011), 723–803, arXiv: 0812.2519	9 ^[x]

Full list of publications