Algebraic and symplectic geometry, moduli spaces of coherent sheaves, homological and homotopical algebra, geometric quantization, mathematical physics, Diophantine approximations.
Main publications:
A. L. Gorodentsev, “Perestroiki isklyuchitelnykh rassloenii na $\mathbf P^n$”, Izv. AN SSSR. Ser. matem., 52:1 (1988), 3–15; Math. USSR-Izv., 32:1 (1989), 1–13
A. L. Gorodentsev, “Isklyuchitelnye rassloeniya na poverkhnostyakh s podvizhnym antikanonicheskim klassom”, Izv. AN SSSR. Ser. matem., 52:4 (1988), 740–757; Math. USSR-Izv., 33:1 (1989), 67–83
A. L. Gorodentsev, “Exceptional objects and mutations in derived categories”, Helices and vector bundles, London Math. Soc. Lecture Note Ser., 148, Cambridge Univ. Press, Cambridge, 1990, 57–73
A. L. Gorodentsev, “Helix theory and nonsymmetrical bilinear forms”, Algebraic geometry and its applications, Proceedings of the 8th algebraic geometry conference (Yaroslavl' 1992), Aspects of Math., E25, Vieweg, Braunschweig, 1994, 47–59
A. L. Gorodentsev, A. N. Tyurin, “Abeleva lagranzheva algebraicheskaya geometriya”, Izv. RAN. Ser. matem., 65:3 (2001), 15–50; Izv. Math., 65:3 (2001), 437–467
A. L. Gorodentsev, S. A. Kuleshov, “Helix theory”, Mosc. Math. J., 4:2 (2004), 377–440
A. L. Gorodentsev, S. A. Kuleshov, A. N. Rudakov, “t-stabilnosti i t-struktury na triangulirovannykh kategoriyakh”, Izv. RAN. Ser. matem., 68:4 (2004), 117–150; Izv. Math., 68:4 (2004), 749–781
A. L. Gorodentsev, A. S. Khoroshkin, A. N. Rudakov, “On syzygies of highest weight orbits”, Moscow Seminar on Mathematical Physics, II, Amer. Math. Soc. Transl. Ser. 2, 221, Amer. Math. Soc., Providence, RI, 2007, 79–120
A. G. Kuznetsov, D. O. Orlov, N. A. Tyurin, A. L. Gorodentsev, V. M. Imaykin, S. I. Komarov, “Collective obituary. Sergey A. Kuleshov (24.12.1962 – 15.05.2021)”, Math. Ed., 2021, no. 2(98), 2–4
2004
2.
A. L. Gorodentsev, S. A. Kuleshov, A. N. Rudakov, “t-stabilities and t-structures on triangulated categories”, Izv. RAN. Ser. Mat., 68:4 (2004), 117–150; Izv. Math., 68:4 (2004), 749–781
A. L. Gorodentsev, “Top Chern classes of universal bundles on the complex projective plane and correlation functions of asymptotically free SYM $N=2$ QFT”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 70 (2001), 7–33; J. Math. Sci. (New York), 106:5 (2001), 3240–3257
A. L. Gorodentsev, M. I. Leenson, “How to calculate the correlation function in twisted SYM $N=2$, N_f=4$ QFT on a projective plane”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 34 (2001), 67–97; J. Math. Sci., 82:1 (1996), 3165–3183
1988
7.
A. L. Gorodentsev, “Exceptional bundles on surfaces with a moving anticanonical class”, Izv. Akad. Nauk SSSR Ser. Mat., 52:4 (1988), 740–757; Math. USSR-Izv., 33:1 (1989), 67–83
A. L. Gorodentsev, “Transformations of exceptional bundles on $\mathbf P^n$”, Izv. Akad. Nauk SSSR Ser. Mat., 52:1 (1988), 3–15; Math. USSR-Izv., 32:1 (1989), 1–13
V. L. Arlazarov, A. Ya. Belov, V. O. Bugaenko, V. A. Vassiliev, A. L. Gorodentsev, S. A. Dorichenko, Yu. S. Ilyashenko, V. M. Imaykin, S. I. Komarov, A. G. Kushnirenko, Yu. P. Lysov, A. L. Semenov, V. M. Tikhomirov, A. K. Tolpygo, A. G. Khovanskii, P. A. Yakushkin, I. V. Yaschenko, “Nikolai Nikolaevich Konstantinov (obituary)”, Uspekhi Mat. Nauk, 77:3(465) (2022), 161–170; Russian Math. Surveys, 77:3 (2022), 531–541
A. Gorodentsev, “Открылся новый математический факультет”, Kvant, 2008, no. 6, 60
2003
11.
F. A. Bogomolov, A. L. Gorodentsev, V. A. Iskovskikh, Yu. I. Manin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, V. Ya. Pidstrigach, A. S. Tikhomirov, N. A. Tyurin, I. R. Shafarevich, “Andrei Nikolaevich Tyurin (obituary)”, Uspekhi Mat. Nauk, 58:3(351) (2003), 176–182; Russian Math. Surveys, 58:3 (2003), 597–605
2002
12.
A. L. Gorodentsev, “Calculus for High School Students, finished”, Math. Ed., 2002, no. 3(22), 2–20
13.
A. L. Gorodentsev, “Calculus for High School Students”, Math. Ed., 2002, no. 2(21), 28–43
2000
14.
A. L. Gorodentsev, “Calculus for 15 Years Aged Students”, Math. Ed., 2000, no. 2(13), 34–72
1999
15.
I. V. Artamkin, A. L. Gorodentsev, A. G. Kulakov, М. А. Прохоров, S. M. Khoroshkin, А. В. Хохлов, “Numbers and Sums. Optional Course in Mathematics for 13-15 years old students”, Math. Ed., 1999, no. 2-3(9-10), 2–57
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