Bondal Aleksei Igorevich

Total publications: 36 (33)
in MathSciNet: 18 (18)
in zbMATH: 14 (14)
in Web of Science: 11 (11)
in Scopus: 9 (9)
Cited articles: 18
Citations in Math-Net.Ru: 510
Citations in MathSciNet (by Sep 2017): 906
Citations in Web of Science: 392
Citations in Scopus: 224
Presentations: 23

Number of views:
This page:6035
Abstract pages:8253
Full texts:2669
Doctor of physico-mathematical sciences (2005)

Full list of publications:
| by years | by types | by times cited | scientific publications | common list |

1. A. I. Bondal, M. Van den Bergh, “Generators and representability of functors in commutative and noncommutative geometry”, Mosc. Math. J., 3:1 (2003), 1–36  mathnet (cited: 192)  mathscinet (cited: 175)  zmath  elib (cited: 66)
2. A. I. Bondal, M. M. Kapranov, “Representable functors, Serre functors, and mutations”, Math. USSR-Izv., 35:3 (1990), 519–541  mathnet  crossref  mathscinet  zmath  isi (cited: 34)  scopus (cited: 79)
3. A. I. Bondal, “Representation of associative algebras and coherent sheaves”, Math. USSR-Izv., 34:1 (1990), 23–42  mathnet  crossref  mathscinet  zmath
4. A. I. Bondal, M. M. Kapranov, “Enhanced triangulated categories”, Math. USSR-Sb., 70:1 (1991), 93–107  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 123)
5. A. Bondal, D. Orlov, “Reconstruction of a variety from the derived category and groups of autoequivalences”, Compositio Math., 125:3 (2001), 327–344  crossref  mathscinet (cited: 90)  zmath  isi (cited: 103)  elib (cited: 72)  scopus (cited: 94)
6. A. I. Bondal, A. E. Polishchuk, “Homological properties of associative algebras: the method of helices”, Russian Acad. Sci. Izv. Math., 42:2 (1994), 219–260  mathnet  crossref  mathscinet  zmath  adsnasa  isi (cited: 55)
7. A. Bondal, D. Orlov, “Derived categories of coherent sheaves”, Proceedings of the International Congress of Mathematicians (Beijing, 2002), v. II, Higher Ed. Press, Beijing, 2002, 47–56  mathscinet (cited: 50)  zmath
8. A. I. Bondal, M. Larsen, V. A. Lunts, “Grothendieck ring of pretriangulated categories”, Int. Math. Res. Not., 2004, no. 29, 1461–1495  crossref  mathscinet (cited: 35)  zmath  isi (cited: 40)  elib (cited: 21)  scopus (cited: 43)
9. A. I. Bondal, M. M. Kapranov, “Homogeneous bundles”, Helices and vector bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 45–55  mathscinet (cited: 14)  isi (cited: 28)
10. A. I. Bondal, “Helices, representations of quivers and Koszul algebras”, Helices and vector bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 75–95  mathscinet (cited: 20)  isi
11. A. I. Bondal, A. I. Kostrikin, Pham Huu Tiep, “Invariant lattices, the Leech lattice and its even unimodular analogues in the Lie algebras $A_{p-1}$”, Math. USSR-Sb., 58:2 (1987), 435–465  mathnet  crossref  mathscinet  zmath
12. A. I. Bondal, “A symplectic groupoid of triangular bilinear forms and the braid group”, Izv. Math., 68:4 (2004), 659–708  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 7)  elib (cited: 5)  scopus (cited: 6)
13. A. I. Bondal, “Symplectic Groupoids Related to Poisson–Lie Groups”, Proc. Steklov Inst. Math., 246 (2004), 34–53  mathnet  mathscinet  zmath
14. A. I. Bondal, “Operations on $t$-structures and perverse coherent sheaves”, Izv. Math., 77:4 (2013), 651–674  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus
15. A. I. Bondal, A. L. Gorodentsev, “On the functors $\mathrm{Ext}^{\bullet}$ applied to exceptional bundles on $\mathbf P^2$”, Helices and vector bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 39–44  mathscinet (cited: 1)
16. A. I. Bondal, “Invariantnye reshetki tipa $A_{p-1}$”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1986, no. 1, 52–54  mathscinet (cited: 1)  zmath
17. Alexey Bondal, Mikhail Kapranov, Vadim Schechtman, “Perverse schobers and birational geometry”, Selecta Math. (N.S.), 24:1 (2018), 85–143  mathnet  crossref  isi  scopus
18. Agnieszka Bodzenta, Alexey Bondal, “Canonical tilting relative generators”, Adv. Math., 323 (2018), 226–278  mathnet  crossref  isi  scopus
19. Alexey Bondal, Ilya Zhdanovskiy, “Coherence of relatively quasi-free algebras”, Eur. J. Math., 1:4 (2015), 695–703  mathnet  crossref  mathscinet  zmath  scopus (cited: 1)
20. J. Math. Sci. (N. Y.), 216:1 (2016), 23–40  mathnet  crossref  mathscinet  elib  scopus (cited: 1)
21. A. Bondal, A. Bodzenta, Flops and spherical functors, 2015 , 92 pp., arXiv: 1511.00665
22. A. Bondal, I. Zhdanovskiy, Symplectic geometry of unbiasedness and critical points of a potential, 2015 , 14 pp., to appear in: Advanced Studies in Pure Mathematics Advanced Studies in Pure Mathematics Book Series. Japan, Tokyo: the Mathematical Society of Japan by Kinokuniya, Tokyo, 2016, arXiv: 1507.00081
23. A. Bondal, I. Zhdanovskiy, Orthogonal pairs for Lie algebra sl(6), IPMU14-0296, IPMU, Kashiwa, Japan, 2014 , 89 pp.
24. A. Bondal, I. Zhdanovskiy, Representation theory for system of projectors and discrete Laplace operators, IPMU13-0001, IPMU, Kashiwa, Japan, 2013 , 48 pp.
25. A. Bondal, I. Zhdanovskiy, Coherence of relatively quasi-free algebras, IPMU13-0053, IPMU, Kashiwa, Japan, 2013 , 6 pp.
26. A. Bondal, “From algebras to varieties”, IPMU News, 2011, no. 14, 4–9
27. A. Bondal, A. Rosly, Derived categories for complex-analytic manifolds, IPMU11-0117, IPMU, Kashiwa, Japan, 2011 , 16 pp.
28. A. I. Bondal, I. Yu. Zhdanovskiy, “Orthogonal decompositions of the Lie algebra $sl(n)$ and harmonic analysis on graphs”, International Algebraic Conference dedicated to 100-th anniversary of D. K. Faddeev (St.-Petersburg, September 24–29, 2007), Abstracts, St. Petersburg Department of the V. A. Steklov Institute of Mathematics of RAS, St.-Petersburg, 2007, 93–97
29. A. Bondal, “Derived categories of toric varieties”, Convex and algebraic geometry, Oberwolfach Report 5/2006, EMS Publishing House, 2006, 284–286
30. A. I. Bondal, Triangulirovannye kategorii v kommutativnoi i nekommutativnoi geometrii, Diss. … dokt. fiz.-matem. nauk, MIAN, M., 2005 , 153 pp.
31. A. Bondal, D. Orlov, Semiorthogonal decompositions for algebraic varieties, 1995 , 56 pp., arXiv: alg-geom/9506012  adsnasa
32. A. Bondal, Non-commutative deformations and Poisson brackets on projective spaces, Preprint 93-67, Max-Planck-Institut, Bonn, 1993 , 14 pp.
33. A. I. Bondal, V. A. Ufnarovskii, “O konechnoi predstavimosti algebr Li kartanovskogo tipa”, Tezisy 16-i Vsesoyuznoi Algebraicheskoi Konferentsii (Leningrad), Nauka, 1981, 22
34. A. I. Bondal, “Geometriya i deistvitelnye chisla v fizike”, Matematicheskoe obrazovanie, 2009, no. 3(51), 2–6

Presentations in Math-Net.Ru
1. Perverse sheaves on orbifolds and associated schobers
A. I. Bondal
International conference ''Algebra, algebraic geometry and number theory'' dedicated to the memory of academician Igor Rostislavovich Shafarevich
June 13, 2018 15:00   
2. Несмешанные базисы и симплектическая геометрия
A. I. Bondal

April 12, 2018 18:30
3. Флопы относительной размерности 1 и группа Sl(2, Z/4)
A. Bondal
One-day conference dedicated to the memory of Vladimir A. Voevodsky
December 28, 2017 15:10   
4. Schobers for Grothendieck resolutions
A. Bondal
Conference: Mirror symmetry and applications
December 14, 2017 15:15   
5. Т-структуры и относительные тилтинг-генераторы, связанные с морфизмами гладких многообразий
A. I. Bondal
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
January 10, 2017 15:00
6. Orthogonal pairs and mutually unbiased bases
A. I. Bondal
5th Workshop on Combinatorics of Moduli Spaces, Hurwitz Spaces and Cohomological Field Theories
June 6, 2016 15:00   
7. Флопы, сферические функторы и шоберы
A. I. Bondal
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
September 22, 2015 15:00
8. Симплектическая геометрия несмешанных базисов и критические точки потенциала
A. I. Bondal
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
May 12, 2015 15:00
9. Оснащение дбар-суперсвязностями производной категории когерентных пучков на гладком компактном и некомпактном многообазии
A. I. Bondal
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
March 10, 2015 15:00
10. Бирациональные морфизмы относительной размерности 1 и гомотопа
A. I. Bondal
Traditional winter session MIAN–POMI
December 18, 2014 15:15
11. Langton's ant's period
A. I. Bondal
Random geometry and physics
September 12, 2014 10:00   
12. Scheme support and t-structures in categories related to birational transformations
A. I. Bondal
One-day conference dedicated to 50-anniversary of Yu. G. Prokhorov
April 4, 2014 16:00   
13. Гармонический анализ на графах и теория представлений
A. I. Bondal
Seminar of the Department of Algebra and of the Department of Algebraic Geometry (Shafarevich Seminar)
April 2, 2013 15:00
14. Kummer surfaces and Barth-Nieto quintic
A. I. Bondal
International conference "KUL!FEST" dedicated to the 60th anniversary of Vik. S. Kulikov
December 3, 2012 16:00   
15. Orthogonal decompositions of $\mathrm{sl}(n)$ and mutually unbiased bases
Alexei Bondal
Derived categories in Algebraic Geometry
September 5, 2011 17:00   
16. Coherent sheaves on minuscule varieties
Alexei Bondal
Instantons in complex geometry
March 17, 2011 11:50   
17. Микровесовые многообразия
A. I. Bondal
Seminar of the Department of Algebra
October 12, 2010 15:00
18. Del Pezzo surfaces, types of branes in physical theories and the geometry of homogeneous spaces
A. I. Bondal
International conference "ALGEBRAIC GEOMETRY: Methods, Relations, and Applications" dedicated to the 70th birthday anniversary of Andrei Nikolaevich Tyurin
February 24, 2010 10:30   
19. Производные категории комплексно-аналитических многообразий и суперсвязности
A. I. Bondal
Seminar on Geometry of Algebraic Varieties
January 11, 2008 15:00
20. Множительные идеалы и теоремы о занулении
A. I. Bondal
A. Bondal Seminar
September 21, 2006
21. Скобки Пуассона и пуассоновы пары
A. I. Bondal
A. Bondal Seminar
March 3, 2005
22. Поиск исключительных наборов на многообразиях: торический случай
A. I. Bondal
Seminar of the Department of Algebra
October 26, 2004
23. Derived categories of coherent sheaves
A. I. Bondal, D. O. Orlov
Steklov Mathematical Institute Seminar
March 20, 2003

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