Dmitry Kaledin (sometimes transliterated as Dmitri) is a Russian mathematician.
Kaledin has proved some cases of the degeneration conjecture of Maxim Kontsevich.
D. Kaledin, Tokyo lectures “Homological methods in non-commutative geometry”, pdf, TeX; and related but different Seoul lectures
D. Kaledin, Cartier isomorphism and Hodge theory in the non-commutative case, Arithmetic geometry, 537–562, Clay Math. Proc. 8, Amer. Math. Soc. 2009, arxiv/0708.1574
D. Kaledin, Cyclic homology with coefficients, math.KT/0702068, to appear in Yu. Manin’s 70th anniversary volume.
Non-commutative Hodge-to-de Rham degeneration via the method of Deligne-Illusie, Pure Appl. Math. Quat. 4 (2008), 785–875.
Spectral sequences for cyclic homology, in Algebra, Geometry and Physics in the 21st Century (Kontsevich Festschrift), Birkhäuser, Progress in Math. 324 (2017), 99–129
D. Kaledin, A. Konovalov, K. Magidson, Spectral algebras and non-commutative Hodge-to-de Rham degeneration, arxiv/1906.09518
Dmitri Kaledin, Misha Verbitsky, Hyperkahler manifolds
2000; International Press of Boston