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Efimov Alexander Ivanovich
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2026
1.	A. I. Efimov, “Some remarks on Quillen's Dévissage theorem”, Modern Algebraic Geometry, Collected papers. Dedicated to Academician Dmitri Orlov on the occasion of his 60th birthday, Trudy Mat. Inst. Steklova, 334, Steklov Math. Inst., Moscow, 2026 (to appear)

2025
2.	Russian Math. Surveys, 80:4 (2025), 723–725

2020
3.	Alexander I. Efimov, “Categorical smooth compactifications and generalized Hodge-to-de Rham degeneration”, Invent. Math., 222:2 (2020), 667-694, arXiv: 1805.09283	6 ^[x]
4.	A. I. Efimov, “Homotopy finiteness of some DG categories from algebraic geometry”, J. Eur. Math. Soc. (JEMS), 22:9 (2020), 2879-2942, arXiv: 1308.0135	10 ^[x]

2019
5.	A. I. Efimov, “On the homotopy finiteness of DG categories”, Russian Math. Surveys, 74:3 (2019), 431–460

2018
6.	Alexander I. Efimov, “Cyclic homology of categories of matrix factorizations”, Int. Math. Res. Not. IMRN, 2018:12 (2018), 3834–3869	20 ^[x]
7.	Alexander I. Efimov, “Some remarks on $L$-equivalence of algebraic varieties”, Selecta Math. (N.S.), 24:4 (2018), 3753–3762	6 ^[x]

2017
8.	Alexander I. Efimov, “Derived categories of Grassmannians over integers and modular representation theory”, Adv. Math., 304 (2017), 179–226	7 ^[x]
9.	Alexander I. Efimov, Categorical formal punctured neighborhood of infinity, I, 2017, 45 pp., arXiv: 1711.00756

2016
10.	Alexander I. Efimov, “Mac Lane (co)homology of the second kind and Wieferich primes”, J. Algebra, 467 (2016), 80–154, arXiv: 1506.00257

2015
11.	Alexander I. Efimov, Leonid Positselski, “Coherent analogues of matrix factorizations and relative singularity categories”, Algebra Number Theory, 9:5 (2015), 1159–1292	60 ^[x]
12.	A. I. Efimov, “Generalized Non-commutative Degeneration Conjecture”, Proc. Steklov Inst. Math., 290 (2015), 1–10

2014
13.	A. I. Efimov, “Maximal lengths of exceptional collections of line bundles”, J. London Math. Soc., 90:2 (2014), 350–372	17 ^[x]

2013
14.	M. Abouzaid, D. Auroux, A. I. Efimov, L. Katzarkov, D. Orlov, “Homological mirror symmetry for punctured spheres”, J. Amer. Math. Soc., 26:4 (2013), 1051–1083, arXiv: 1103.4322	37 ^[x]
15.	A. I. Efimov, Homotopy finiteness of some DG categories from algebraic geometry, 2013, 58 pp., arXiv: 1308.0135

2012
16.	A. I. Efimov, “Cohomological Hall algebra of a symmetric quiver”, Compos. Math., 148:4 (2012), 1133–1146	54 ^[x]
17.	A. I. Efimov, “Homological mirror symmetry for curves of higher genus”, Adv. Math., 230:2 (2012), 493–530	29 ^[x]

2011
18.	A. I. Efimov, “A proof of the Kontsevich-Soǐbel'man conjecture”, Sb. Math., 202:4 (2011), 527–546
19.	A. I. Efimov, V. A. Lunts, D. O. Orlov, “Deformation theory of objects in homotopy and derived categories III: Abelian categories”, Adv. Math., 226:5 (2011), 3857–3911	8 ^[x]
20.	A. I. Efimov, Quantum cluster variables via vanishing cycles, 2011, 46 pp., arXiv: 1112.3601

2010
21.	A. I. Efimov, “A note on mirror symmetry for curves”, Russian Math. Surveys, 65:5 (2010), 987–988
22.	A.I. Efimov, V. A. Lunts, D. O. Orlov, “Deformation theory of objects in homotopy and derived categories. II. Pro-representability of the deformation functor”, Adv. Math., 224:1 (2010), 45–102	12 ^[x]
23.	A. I. Efimov, Formal completion of a category along a subcategory, 2010, 27 pp., arXiv: 1006.4721
24.	A. I. Efimov, Maximal lengths of exceptional collections of line bundles, 2010, 27 pp., arXiv: 1010.3755

Full list of publications