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Gubkina str. 8,
119991, Moscow, Russia
Tel.: +7(495) 984 81 41
Fax: +7(495) 984 81 39
Web site: www.mi.ras.ru
E-mail: steklov@mi.ras.ru

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Department of Algebra

| Seminars | History of the Department | Areas of Research | Main Results | Awards | International Relations | Publications |
Staff
Parshin Aleksei Nikolaevich

Doctor Phys.-Math. Sci., Academician, Head of Department
office: 525; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 39 33; e-mail: parshin@mi.ras.ru
Principal fields of research: lgebraic number theory and Galois theory. Algebraic geometry and n-dimensional local fields and their applications to arithmetics, geometry of manifolds, integrable systems, and quatum field theory. History of mathematics.
Parshin Aleksei Nikolaevich
Gorchinskiy Sergey Olegovich

Candidate Phys.-Math. Sci., Senior Scientific Researcher
office: 540; tel.: +7 (499) 941 01 79, +7 (495) 984 81 41 * 39 32; e-mail: gorchins@mi.ras.ru
Principal fields of research: Algebraic geometry, arithmetic geometry, higher-dimensional adeles, K-theory, algebraic cycles.
Gorchinskiy Sergey Olegovich
Kulikov Viktor Stepanovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Rsearcher
office: 524; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 36 70; e-mail: kulikov@mi.ras.ru
Principal fields of research: Algebraic geometry and topology of algebraical manifolds.
Kulikov Viktor Stepanovich
Nikulin Vyacheslav Valentinovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
e-mail: nikulin@mi.ras.ru
Personal page: http://vnikulin.com/
Principal fields of research: Algebraic Geometry. Integer-valued quadratic forms generated by reflections in hyperbolic spaces. Automorphic forms. Lorentzian Kac-Moody algebras.
Nikulin Vyacheslav Valentinovich
Osipov Denis Vasil'evich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 540; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 39 32; e-mail: d_osipov@mi.ras.ru
Principal fields of research: Algebraic geometry. Algebraical number theory. Integrable systems.
Osipov Denis Vasil'evich
Popov Vladimir Leonidovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Researcher
office: 524; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 36 70; e-mail: popovvl@mi.ras.ru
Principal fields of research: Algebraic transformation groups. Invariant theory. Algebraic groups and their representation theory. Homogeneous spaces. Lie groups and Lie algebras. Algebro-geometric aspects of algebraic transformation group theory. Affine algebraic geometry. Automorphism groups of algebraic varieties. Discrete reflection groups.
Popov Vladimir Leonidovich
Shafarevich Igor Rostislavovich

Doctor Phys.-Math. Sci., Academician, Chief Scientific Researcher
office: 523; tel.: +7 (495) 941 01 79, +7 (495) 984 81 41 * 39 32; e-mail: shafarev@mi.ras.ru
Personal page: http://www.mi.ras.ru/~shafarev
Principal fields of research: Algebraic number theory. Algebraic geometry. Theory of Lie groups and Lie algebras. Commutative and associative algebras.
Shafarevich Igor Rostislavovich

Abrashkin Viktor Aleksandrovich

Doctor Phys.-Math. Sci., Out-Of-Staff Member
e-mail: victor.abrashkin@durham.ac.uk
Personal page: http://maths.dur.ac.uk/~dma0va/
Principal fields of research: Galois moduli of finite group schemes. $p$-Adic representations for the Galois group of local fields. The Iwasawa theory. Theory of $p$-extensions of local and global fields. Highest theory of branching.
Mikhailov Roman Valer'evich

Doctor Phys.-Math. Sci., Out-Of-Staff Member
e-mail: rmikhailov@mail.ru
Principal fields of research: Group theory, topology, category theory, algebraic K-theory.

Kostrikin Aleksei Ivanovich (12.02.1929 – 22.09.2000)

Doctor Phys.-Math. Sci., Corresponding Member of USSR Academy of Sciences
Tyurin Andrei Nikolaevich (24.02.1940 – 27.10.2002)

Doctor Phys.-Math. Sci., Corresponding Member of RAS
Voronin Sergei Mikhailovich (11.03.1948 – 18.10.1997)

Doctor Phys.-Math. Sci.
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Seminars
Seminar of the Department of Algebra and Number Theory and of the Department of Algebraic Geometry (Shafarevich Seminar)
Seminar on Arithmetic Algebraic Geometry
Seminar Chairman: A. N. Parshin
Steklov Mathematical Institute, Room 540 (8 Gubkina)
Arithmetic geometry seminar

Seminar of the Department of Algebra
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History of the Department

The Department of Algebra was created in the middle of 1930's. B. N. Delone was the first head. The list of people working at the department in the late 1930's and 1940's includes: O. Yu. Schmidt, S. A. Chunikhin, I. M. Gelfand, A. I. Malcev.

Starting from 1946 I. R. Shafarevich is working at the department, being its head from 1960 to 1995. Many people in the department are his pupils: A. I. Lapin (1950 and 1957–1969), A. I. Kostrikin (1956–2000; starting from 1977 he was also the head of the Chair of Algebra at the Moscow State University), S. P. Demushkin (1959–1975), A. B. Zhizhchenko (1959–1965), Yu. I. Manin (since 1960), A. N. Tyurin (1963–2002), V. A. Demyanenko (1967–1969), A. N. Parshin (since 1968, starting from 1995 he is the head of the department), S. Yu. Arakelov (PhD student from 1971 to 1974), V. V. Nikulin (1987–2002, out-of-staff member since 2002), V. A. Kolyvagin (1988–2004, out-of-staff member from 2004 to 2011), V. A. Abrashkin (1996–2002, out-of-staff member since 2002), Vik. S. Kulikov (PhD student from 1974 to 1977, then a member since 1997).

The following people have been working at the department: S. P. Novikov (1960–1975), F. A. Bogomolov (PhD student from 1970 to 1973, employee from 1973 to 1993, out-of-staff member until 2011), M. M. Kapranov (1986–1990), S. A. Stepanov (1987–2000), A. T. Fomenko (1998–2001).

Now the following people also work at the department: A. I. Bondal (since 1994), D. O. Orlov (since 1996), D. V. Osipov (since 1999), V. L. Popov (since 2002), D. B. Kaledin (since 2002), A. G. Kuznetsov (since 2002), R. V. Mikhailov (since 2004), V. V. Shokurov (since 2004), S. O. Gorchinskiy (since 2007), C. A. Shramov (since 2008), I. D. Shkredov (since 2010), A. I. Efimov (since 2010).

In 2009 the Department of Algebra was united with the Department of Number Theory. The following people have thus entered the department: G. I. Arkhipov, M. M. Grinenko (out-of-staff member since 2011), M. A. Korolev, V. V. Przyjalkowski, A. V. Pukhlikov, I. S. Rezvyakova.

In 2012 the Department of Algebraic Geometry was created on the base of the Department of Algebra and Number Theory. The following people are the members of the new department: D. O. Orlov (head of the department), A. I. Bondal, M. M. Grinenko, A. I. Efimov, D. B. Kaledin, A. G. Kuznetsov, V. V. Przyjalkowski, A. V. Pukhlikov, V. V. Shokurov, C. A. Shramov.

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Areas of Research

Algebraic number theory, Galois theory, Lie groups and Lie algebras, theory of algebraic groups, algebraic geometry (especially the category theory of coherent sheaves, birational geometry, invariant theory), arithmetic of algebraic varieties, algebraic and differential topology, mathematical physics, combinatorial group theory, homological algebra, representations of groups, mirror symmetry, theory of adeles.

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Main Results
1. Algebraic number theory and Galois theory
  • Construction of a general reciprocity law (I. R. Shafarevich, A. I. Lapin), solution of the inverse problem of the Galois theory for solvable groups (I. R. Shafarevich).
  • Description of p-extensions of local and global fields (I. R. Shafarevich, S. P.  Demushkin, H. Koch), solution of the problem of class field tower (E. S. Golod and I. R. Shafarevich), the structure of the Galois group for local fields (V. A. Abrashkin).
  • Theory of Euler systems (V. A. Kolyvagin).
2. Lie groups and Lie algebras
  • Semi-simple subgroups of Lie groups, nilmanifolds (A. I. Malcev).
  • Theory of infinite-dimensional representations of classical Lie groups (I. M. Gelfand and M. A. Naimark).
  • Solution of the weak Burnside problem for an arbitrary prime exponent (A. I. Kostrikin).
  • Classification of simple Lie algebras in the positive characteristic (A. I. Kostrikin and I. R. Shafarevich).
  • Integral lattices and orthogonal decompositions of Lie algebras (A. I. Kostrikin).
  • Theory of Kac–Moody Lorentz algebras (V. A. Gritsenko, V. V. Nikulin).
3. Algebraic geometry
  • Geometry of algebraic varieties: pencils of elliptic curves (I. R. Shafarevich), the Gauss–Manin connection (Yu. I. Manin), finiteness theorems for families of curves (A. N. Parshin and S. Yu. Arakelov).
  • Theory of vector bundles: classification and Torelli type theorems for vector bundles over algebraic curves, the problem of a bundle of quadrics, vector bundles over an infinite-dimensional projective space (A. N. Tyurin).
  • Theory of algebraic K3 surfaces and manifolds with a trivial canonical class: Torelli theorem (I. I. Piatetski-Shapiro, I. R. Shafarevich), structure of K3 surfaces in positive characteristic (A. N. Rudakov, I. R. Shafarevich), group of automorphisms, topological classification (V. V. Nikulin), surjectivity of the period map (V. S. Kulikov), classification of complex manifolds with trivial canonical class (F. A. Bogomolov).
  • Solution of three-dimensional Lroth problem (V. A. Iskovskikh, Yu. I. Manin).
  • Flat and projective structures on Riemann surfaces (A. N. Tyurin).
  • Theory of stable vector bundles on algebraic varieties (F. A. Bogomolov).
  • Arithmetic groups in hyperbolic spaces and integral lattices (V. V. Nikulin).
  • Smooth invariants of algebraic surfaces (V. Y. Pidstrigach, A. N. Tyurin).
  • Derived categories of coherent sheaves on algebraic varieties and equivalences between them for varieties with ample and anti-ample canonical class, as well as for abelian varieties (M. M. Kapranov, A. I. Bondal, D. O. Orlov).
  • Derived categories of coherent sheaves on a symplectic resolution of an arbitrary singularity (D. B. Kaledin).
  • Theorem on integral kernel for an equivalence between derived categories of coherent sheaves on possibly singular projective varieties (D. O. Orlov, V. A. Lunts).
  • Theory of homological projective duality (A. Kuznetsov).
  • Derived categories of coherent sheaves on isotropic Grassmannians (A. G. Kuznetsov, A. E. Polishchuk).
  • Prym varieties, their difference with Jacobians, and applications to the three-dimensional birational geometry (V. V. Shokurov).
  • Minimal model program and its applications to higher-dimensional geometry. Moduli of polarized log pairs and positivity of the module part in the adjunction formula (V. V. Shokurov).
  • Application of unramified Brauer group to the unirationality problem for algebraic varieties (F. A. Bogomolov).
  • Topology of algebraic surfaces: Chisini conjecture for generic projections of algebraic surfaces onto projective plane, counterexamples in deformation theory, description of components of the Hurwitz spaces of coverings of algebraic curves (Vik. S. Kulikov).
  • Birational geometry of Fano varieties: description of the structures of a rationally connected fibration on Fano double spaces of index 2 and dimension 5 and above, computation of the group of birational automorphisms and the proof of non-rationality (A. V. Pukhlikov).
  • Invariant theory: algebraic groups as groups of automorphisms of algebras, solution of the problem of rationality of the function field on a connected semisimple algebraic group over the subfield of central functions, description of Cayley groups (V. L. Popov).
  • Applications of algebraic geometry and Tannakian categories to the differential Galois theory, parametrized Picard–Vessiot extensions (S. O. Gorchinskiy, A. I. Ovchinnikov).
  • Deformation quantization of algebraic varieties over a field of positive characteristic. Noncommutative analogues of the Cartier morphism and the Frobenius map for cyclic homology (D. B. Kaledin).
4. Arithmetic of algebraic varieties
  • Diophantine equations of degree three (B. N. Delone and D. K. Faddeev).
  • Arithmetic of elliptic curves and abelian varieties: theory of principal homogeneous spaces (I. R. Shafarevich), unboundedness of rank over function fields (A. I. Lapin), boundedness of p-torsion of elliptic curves (Yu. I. Manin), estimates for the torsion of elliptic curves (V. A. Demyanenko), canonical heights of abelian varieties (A. N. Parshin), l-adic representations of Galois groups associated with abelian varieties, the group of points of finite order (F. A. Bogomolov), proof of the nonexistence of smooth abelian schemes over Z (V. A. Abrashkin).
  • Finiteness theorems in Diophantine geometry: proof of the Mordell conjecture on rational points over function fields (Yu. I. Manin), method of ramified coverings (A. N. Parshin), finiteness of the Tate–Shafarevich group for modular curves (V. A. Kolyvagin).
  • Arithmetic surfaces (Arakelov geometry).
  • Arithmetic of rational and cubic surfaces (Yu. I. Manin, V. A. Iskovskikh).
  • Theory of p-adic L-functions and modular forms (Yu. I. Manin).
  • Theory of n-dimensional local fields and its applications to class field theory, vector bundles and the theory of algebraic groups (A. N. Parshin).
  • Theory of adeles: measure theory and harmonic analysis on adelic spaces of two-dimensional schemes (D. V. Osipov, A. N. Parshin), symbols and reciprocity laws (D. V. Osipov), adelic resolutions for sheaves (S. O. Gorchinskiy, D. V. Osipov).
5. Algebraic and differential topology
  • Theory of cohomological operations. Description of complex cobordisms. Classification of simply connected smooth manifolds of dimension ≷ 4. Proof of topological invariance of Pontryagin classes. Theory of foliations on smooth manifolds. Foundations of Hermitian K-theory (S. P. Novikov).
  • Theory of derived functors for non-additive functors (R. V. Mikhailov, L. Breen).
  • Functorial methods in the unstable homotopy theory (R. V. Mikhailov).
6. Mathematical physics
  • Solution of the periodic problem for the KdV equation by methods of algebraic geometry (S. P. Novikov).
  • Classification of instantons (V. G. Drinfeld, Yu. I. Manin).
  • Models of classical field theory: supergeometry, the Yang–Mills theory, and string theory (Yu. I. Manin, M. M. Kapranov).
  • Description of instantons on noncommutative spaces and noncommutative twistor transform (A. Kapustin, A. G. Kuznetsov, D. O. Orlov).
  • Homological mirror symmetry and the category of D-branes for Landau–Ginzburg models (D. O. Orlov). Homological mirror symmetry for curves of genus greater than one (A. I. Efimov) and del Pezzo surfaces (D. O. Orlov).
7. Combinatorial group theory and applications
  • Theory of central series for groups (R. V. Mikhailov).
  • Description of homotopy groups of spheres in terms of group theory (R. V. Mikhailov, J. Wu).
8. Representation theory
  • Moduli space of representations of Lie algebras in positive characteristic (I. R. Shafarevich, A. N. Rudakov).
  • Classification and character theory for irreducible representations with finite weight of discrete Heisenberg groups (A. N. Parshin, S. A. Arnal).
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Awards

Among the members of the department there are recipients of the Fields Medal (S. P. Novikov), the Lenin Prize (I. R. Shafarevich, Yu. I. Manin, S. P. Novikov), the State USSR Prize (A. I. Kostrikin, S. A. Stepanov), the Lomonosov Prize (A. I. Kostrikin), the Alexander von Humboldt Prize (A. N. Parshin), the European Mathematical Society Prize (A. G. Kuznetsov), Russian Federation President Prize in Science and Innovation for Young Scientists (A. G. Kuznetsov) and others.

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International Relations
Department members have been repeatedly invited to the International Congresses of Mathematicians as speakers:
I.R.Shafarevich (Stokholm,1962; Nice,1970),
A.I.Kostrikin (Stokholm,1962; Nice,1970),
S.P.Novikov (Stokholm,1962; Moscow,1966; Nice,1970),
Yu.I.Manin (Stokholm,1962; Nice,1970; Helsinki,1978; Berkeley,1986),
A.N.Parshin (Nice,1970),
S.Yu.Arakelov (Vancouver,1974),
F. A. Bogomolov (Helsinki, 1978),
V. V. Nikulin (Berkeley, 1986),
V. L. Popov (Berkeley, 1986),
V. A. Kolyvagin (Kioto, 1990),
A. I. Bondal (Pekin, 2002),
D. O. Orlov (Pekin, 2002),
D. B. Kaledin (Hyderabad, 2010).
The Department of Algebra and Number Theory has many relations with Russian and foreign mathematicians. Department visitors include:
V. Alexeev, A. N. Andrianov, R. V. Bezrukavnikov, A. A. Beilinson, N. A. Vavilov, B. B. Venkov, A. M. Vershik, V. A. Voevodsky, V. E. Voskresensky, S. V. Vostokov, V. Ginzburg, V. A. Gritsenko, V. I. Guletskii, A. S. Dzhumadildaev, N. V. Durov, Yu. L. Ershov, Yu. G. Zarhin, M. M. Kapranov, A. A. Klyachko, M. L. Kontsevich, V. A. Lunts, S. A. Merkulov, I. A. Panin, A. A. Panchishkin, F. V. Petrov, V. P. Platonov, A. E. Polishchuk, Yu. G. Prokhorov, A. A. Rosly, A. N. Skorobogatov, A. L. Smirnov, S. G. Tankeev, A. S. Tikhomirov, N. A. Tyurin, L. D. Faddeev, V. M. Kharlamov, I. A. Cheltsov, V. I. Janchevsky, W. Baily, L. Bers, L. Breen, F. Campana, J. W. S. Cassels, A. Corti, P. Deligne, H. Esnault, G. van der Geer, D. Gieseker, Ph. Griffiths, M. Harris, M. Hazewinkel, F. Hirzebruch, R. Holzapfel, E. Kaehler, E. Kani, L. Katzarkov, B. Keller, H. Koch, S. Lang, R. P. Langlands, R. MacPherson, Y. Miyaoka, D. Mumford, M. S. Narasimhan, A. Neeman, H. Opolka, T. Pantev, I. B. Passi, G. Prasad, M. Raghunathan, M. Reid, N. Schappacher, T. Shioda, J.-P. Serre, C. S. Seshadri, J. Tate, A. Todorov, J.-L. Verdier, E. Vieweg, M. Wodzicki, G. Wuestholz, D. Zagier, E.-W. Zink, T. Zink, and many others.
The department actively cooperates with many institutes and universities, including:
Moscow State University, Novosibirsk State University, Independent University of Moscow, St. Petersburg Department of the Steklov Mathematical Institute, St. Petersburg State University, Yaroslavl State Pedagogical University, ETH (Switzerland), Harish-Chandra Research Institute (India), IAS (U.S.A.), IHES (France), IPMU (Japan), ICTP (Italy), London Imperial College (UK), MPIM (Germany), POSTECH (South Korea), Punjab University (India), RIMS (Japan), TIFR (India), University of Durham (UK), University of Edinburgh (UK), University of Liverpool (UK), University of Warwick (UK), University of Vienna (Austria).
Recent publications

Steklov Mathematical Institute staff Steklov Mathematical Institute staff and out-of-staff employees
| by years | scientific publications | by types |



   2016
1. V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II”, Izv. Math., 80:2 (2016), 359–402  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
2. V. A. Gritsenko, V. V. Nikulin, Lorentzian Kac–Moody algebras with Weyl groups of 2-reflection, 2016 , 73 pp., arXiv: 1602.08359
3. Viacheslav V. Nikulin, Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups. III, 2016 , 49 pp., arXiv: 1608.04373
4. Viacheslav V. Nikulin, “Kählerian K3 surfaces and Niemeier lattices, II”, Development of Moduli Theory — Kyoto 2013, Adv. Stud. Pure Math., 69, 2016, 421–471  mathnet
5. Denis Osipov, Xinwen Zhu, “The two-dimensional Contou-Carrère symbol and reciprocity laws”, J. Algebraic Geom., 25 (2016), 703–774 , arXiv: 1305.6032  mathnet  crossref  scopus
6. S. O. Gorchinskiy, D. V. Osipov, “Higher-dimensional Contou-Carrère symbol and continuous automorphisms”, Funct. Anal. Appl., 2016 (to appear) , arXiv: 1604.08049
7. D. V. Osipov, A. N. Parshin, “Representations of the Discrete Heisenberg Group on Distribution Spaces of Two-Dimensional Local Fields”, Proc. Steklov Inst. Math., 292 (2016), 185–201 , arXiv: 1510.02423  mathnet  crossref  crossref  isi  elib  scopus
8. S. O. Gorchinskiy, D. V. Osipov, Modern problems of mathematics, mechanics, and mathematical physics. Part II, Collected papers, Tr. Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 54–75  mathnet  crossref  elib
9. Viktor S. Kulikov, Eugenii Shustin, “On rigid plane curves”, Eur. J. Math., 2:1 (2016), 208–226  mathnet  crossref  mathscinet  zmath  scopus
10. Vik. S. Kulikov, Modern problems of mathematics, mechanics, and mathematical physics. Part II, Collected papers, Tr. Mat. Inst. Steklova, 294, MAIK Nauka/Interperiodica, Moscow, 2016, 105–140  mathnet  crossref  elib
11. Vladimir L. Popov, “Birational splitting and algebraic group actions”, Eur. J. Math., 2:1 (2016), 283–290 , Published online: 16 May 2015 https://www.math.uni-bielefeld.de/LAG/man/552.pdf, arXiv: 1502.02167  mathnet  crossref  mathscinet  zmath  scopus
12. Vladimir L. Popov, “Bass' triangulability problem”, Advanced Studies in Pure Mathematics, Mathematical Society of Japan, 2016 (to appear) https://www.math.uni-bielefeld.de/LAG/man/553.pdf, arXiv: 1504.03867
13. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya. Uchebnik i praktikum, Bakalavr. Akademicheskii kurs, 2-e izd., per. i dop., Yurait, Moskva, 2016, ISBN: 978-5-9916-6395-3 , 232 pp. http://urait.ru/catalog/388730
14. V. L. Popov, “Algebras of General Type: Rational Parametrization and Normal Forms”, Proc. Steklov Inst. Math., 292:1 (2016), 202–215  mathnet  crossref  crossref  isi  elib  scopus
15. V. L. Popov, “Subgroups of the Cremona groups: Bass' problem”, Dokl. Math., 93:3 (2016), 307–309  mathnet  crossref  crossref  isi  elib  scopus
16. V. L. Popov, “Rationality of (co)adjoint orbits”, International conference on algebraic geometry, complex analysis and computer algebra (Nothern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 03–09, 2016), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2016, 84–85, ISBN: 978-5-906619-08-02 http://www.mathnet.ru/ConfLogos/805/thesis.pdf
17. L. A. Bokut', E. S. Golod, R. I. Grigorchuk, V. N. Zhelyabin, V. G. Kac, A. R. Kemer, V. V. Kirichenko, P. S. Kolesnikov, S. S. Kutateladze, V. N. Latyshev, Yu. N. Mal'tsev, G. A. Margulis, A. V. Mikhalev, A. G. Myasnikov, S. P. Novikov, A. Yu. Ol'shanskii, A. N. Parshin, V. P. Platonov, Yu. G. Reshetnyak, N. S. Romanovskiy, I. A. Taimanov, O. G. Kharlampovich, V. K. Kharchenko, L. N. Shevrin, I. P. Shestakov, A. V. Yakovlev, “Efim Izaakovich Zelmanov has turned 60 years old”, Uspekhi Mat. Nauk, 71:4(430) (2016), 193–199  mathnet  crossref  elib
18. I. V. Beloshapka, S. O. Gorchinskiy, “Irreducible representations of finitely generated nilpotent groups”, Sb. Math., 207:1 (2016), 41–64  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus
19. S. Gorchinskiy, V. Guletskiǐ, “Symmetric powers in abstract homotopy categories”, Adv. Math., 292 (2016), 707–754  mathnet  crossref  mathscinet  zmath  isi  scopus

   2015
20. V. V. Nikulin, Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, II, 2015 , 55 pp., arXiv: 1504.00326v4
21. V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups”, Izv. Math., 79:4 (2015), 740–794  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1)  elib (cited: 1)  scopus
22. V. V. Nikulin, “Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups.”, Conference on K3 surfaces and related topics (KIAS, Seoul, Korea, 16–20 November), 2015 , 1 pp. http://home.kias.re.kr/MKG/h/K3surfaces/
23. S. O. Gorchinskiy, D. V. Osipov, “Explicit formula for the higher-dimensional Contou-Carrère symbol”, Russian Math. Surveys, 70:1 (2015), 171–173  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1)  elib (cited: 1)  scopus
24. S. O. Gorchinskiy, D. V. Osipov, “A higher-dimensional Contou-Carrère symbol: local theory”, Sb. Math., 206:9 (2015), 1191–1259 , arXiv: 1505.03829  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2 \citnumescopus 1)  elib  elib  scopus
25. D. V. Osipov, “The Discrete Heisenberg Group and Its Automorphism Group”, Math. Notes, 98:1 (2015), 185–188 , arXiv: 1505.00348  mathnet  crossref  crossref  mathscinet  isi (cited: 2 \citnumescopus 1)  elib  elib  scopus
26. S. O. Gorchinskiy, D. V. Osipov, “Tangent Space to Milnor $K$-Groups of Rings”, Proc. Steklov Inst. Math., 290 (2015), 26–34 , arXiv: 1505.03780  mathnet  crossref  crossref  isi  elib (cited: 1)  elib (cited: 1)  scopus
27. F. A. Bogomolov, Vik. S. Kulikov, “The ambiguity index of an equipped finite group”, Eur. J. Math., 1:2 (2015), 260–278 , arXiv: 1404.5763  mathnet  crossref  mathscinet  zmath  scopus
28. Vik. S. Kulikov, “Dualizing coverings of the plane”, Izv. Math., 79:5 (2015), 1013–1042  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  elib  scopus
29. Viktor S. Kulikov, Eugenii Shustin, “Duality of planar and spacial curves: new insight”, Eur. J. Math., 1:3 (2015), 462–482 , arXiv: 1412.1944  mathnet  crossref  mathscinet  zmath  scopus
30. Vik. S. Kulikov, “O klassicheskikh formulakh Plyukkera”, V Shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh matematikov Rossii. Tezisy dokladov. (g. Koryazhma Arkhangelskoi oblasti, Filial S(A)FU im. M.V. Lomonosova, 17–22 avgusta 2015 g.), MIAN, M., 2015, 50–54 http://www.mathnet.ru/ConfLogos/604/thesis-Koryazhma.pdf
31. I. R. Shafarevich, Collected mathematical papers, Reprint of the 1989 edition, Springer Collect. Works Math., Springer, Heidelberg, 2015, ISBN: 978-3-662-47153-1, 978-3-540-13618-7, x+769 pp.  mathscinet
32. Vladimir L. Popov, “Around the Abhyankar–Sathaye conjecture”, Doc. Math., 2015, Extra Volume:Alexander S. Merkurjev's Sixtieth Birthday (The Book Series, Vol. 7), 513–528 https://www.math.uni-bielefeld.de/documenta/vol-merkurjev/popov.html, arXiv: 1409.6330  mathnet  mathscinet
33. V. L. Popov, “Finite subgroups of diffeomorphism groups”, Proc. Steklov Inst. Math., 289 (2015), 221–226 , arXiv: 1310.6548v2  mathnet  crossref  crossref  isi  elib  elib  scopus
34. V. L. Popov, “Problema Bassa o trianguliruemosti podgrupp grupp Kremony”, V shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh matematikov Rossii (g. Koryazhma Arkhangelskoi oblasti, Filial Severnogo (Arkticheskogo) federalnogo universiteta im. M. V. Lomonosova, 17–22 avgusta 2015 g.), Matematicheskii institut im. V.A. Steklova Rossiiskoi akademii nauk, Moskva, 2015, 83–87, ISBN: 978-5-98419-062-6 http://www.mathnet.ru/ConfLogos/604/thesis-Koryazhma.pdf
35. Vladimir L. Popov, “Is one of the two orbits in the closure of the other?”, Appendix B in: H. Derksen, G. Kemper, Computational Invariant Theory, Encyclopaedia of Mathematical Sciences, 130, Subseries “Invariant Theory and Algebraic Transformation Groups”, no. VIII, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 309–322, ISBN: 978-3-662-48420-3 DOI: 10.1007/978-3-662-48422-7  crossref
36. V. L. Popov, “Number of components of the nullcone”, Proc. Steklov Inst. of Math., 290 (2015), 84–90 , arXiv: 1503.08303  mathnet  crossref  crossref  isi  elib  elib  scopus
37. Vladimir L. Popov, “On the equations defining affine algebraic groups”, Pacific J. Math., 279:1-2, Special issue. In memoriam: Robert Steinberg (2015), 423–446 http://msp.org/pjm/2015/279-1/p19.xhtml, arXiv: 1508.02860  mathnet  crossref  mathscinet  isi  scopus
38. H. Derksen, G. Kemper, Computational Invariant Theory, with two Appendices by Vladimir L. Popov, and an Addendum by Norbert A'Campo and Vladimir L. Popov, Encyclopaedia of Mathematical Sciences, subseries “Invariant Theory and Algebraic Transformation Groups”, 130, no. VIII, Second Enlarged Edition, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, Heidelberg, 2015, ISBN: 978-3-662-48420-3 , 387 pp. DOI:10.1007/978-3-662-48422-7
39. S. I. Adian, V. V. Benyash-Krivets, V. M. Buchstaber, E. I. Zelmanov, V. V. Kozlov, G. A. Margulis, S. P. Novikov, A. N. Parshin, G. Prasad, A. S. Rapinchuk, L. D. Faddeev, V. I. Chernousov, “Vladimir Petrovich Platonov (on his 75th birthday)”, Russian Math. Surveys, 70:1 (2015), 197–201  mathnet  crossref  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus
40. A. N. Parshin, “On the direct image conjecture in the relative Langlands programme”, Russian Math. Surveys, 70:5 (2015), 961–963  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
41. S. I. Adian, V. V. Benyash-Krivets, V. M. Buchstaber, E. I. Zel'manov, V. V. Kozlov, G. A. Margulis, S. P. Novikov, A. N. Parshin, G. Prasad, A. S. Rapinchuk, L. D. Faddeev, V. I. Chernousov, “Vladimir Petrovich Platonov (to the 75 anniversary since the birth of)”, Chebyshevskii Sb., 16:4 (2015), 6–10  mathnet
42. Sergey Gorchinskiy, Alexei Rosly, “A polar complex for locally free sheaves”, Int. Math. Res. Not. IMRN, 2015:10 (2015), 2784–2829  mathnet  crossref  mathscinet  zmath  isi  elib  scopus

   2014
43. V. V. Nikulin, “Elliptic fibrations on K3 surfaces”, Proc. Edinb. Math. Soc. (2), 57:1 (2014), 253–267  crossref  mathscinet  zmath  isi  scopus
44. V. V. Nikulin, Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, 2014 , 70 pp., arXiv: 1403.6061v3
45. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, Workshop: Automorphic forms, Lie algebras and String theory (Lille University II, March 3–6), Lille, France, 2014 , 28 pp. http://www.ihes.fr/~vanhove/Lille2014/index.html
46. V. V. Nikulin, “Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups”, Conference: Moduli spaces of real and complex varieties (Angers University, June 2–6), Angers, France, 2014 , 1 pp. http://www.math.univ-angers.fr/~mangolte/Angers-2014-abstracts.pdf
47. H. Kurke, D. Osipov, A. Zheglov, “Commuting differential operators and higher-dimensional algebraic varieties”, Selecta Math. (N.S.), 20:4 (2014), 1159–1195 , arXiv: 1211.0976  crossref  mathscinet  isi (cited: 1)  elib (cited: 1)  scopus
48. Vik. S. Kulikov, V. M. Kharlamov, “On numerically pluricanonical cyclic coverings”, Izv. Math., 78:5 (2014), 986–1005  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
49. Vik.S. Kulikov, On the Galois groups of the dualizing coverings for plane curves, 2014 , 10 pp., arXiv: 1403.1426
50. V. S. Kulikov, “Chislenno kratnokanonicheskie tsiklicheskie nakrytiya”, V Rossiisko-armyanskoe soveschanie po matematicheskoi fizike, kompleksnomu analizu i smezhnym voprosam (28 sentyabrya – 3 oktyabrya 2014 g., Erevan), Erevan, 2014, 32–33
51. V. L. Popov, “Quotients by conjugation action, cross-sections, singularities,and representation rings”, Representation Theory and Analysis of Reductive Groups: Spherical Spaces and Hecke Algebras (Mathematisches Forschungsinstitut Oberwolfach, 19 January – 25 January 2014), Oberwolfach Reports, 11, no. 1, European Mathematical Society, 2014, 156–159
52. V. L. Popov, “On infinite dimensional algebraic transformation groups”, Transform. Groups, 19:2, special issue dedicated to E. B. Dynkin's 90th anniversary (2014), 549–568 https://www.math.uni-bielefeld.de/LAG/man/523.pdf, arXiv: 1401.0278  crossref  mathscinet  zmath  isi (cited: 1 \citnumescopus 1)  elib  scopus
53. V. L. Popov, “Jordan groups and automorphism groups of algebraic varieties”, Automorphisms in birational and affine geometry, Springer Proceedings in Mathematics & Statistics, 79, Springer, 2014, 185–213 https://www.math.uni-bielefeld.de/LAG/man/508.pdf, arXiv: 1307.5522 \citnumescopus 1  crossref  scopus
54. N. A. Vavilov, È. B. Vinberg, I. A. Panin, A. N. Panov, A. N. Parshin, V. P. Platonov, V. L. Popov, “Valentin Evgen'evich Voskresenskii (obituary)”, Russian Math. Surveys, 69:4 (2014), 753–754  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
55. V. L. Popov, “Jordaness of the automorphism groups of varieties and manifolds”, Modern Problems of Mathematics and Natural Sciences (Koryazhma, September 15–18, 2014), Northern (Arctic) Federal M. V. Lomonosov University, Koryazhma, 2014, 66–70
56. N. N. Andreev, V. M. Buchstaber, A. I. Garber, V. V. Kozlov, S. P. Konovalov, A. A. Mal'tsev, Yu. V. Nesterenko, S. P. Novikov, A. N. Parshin, I. Kh. Sabitov, A. L. Semenov, A. G. Sergeev, O. K. Sheinman, M. I. Shtogrin, E. V. Shchepin, “Nikolai Petrovich Dolbilin (on his 70th birthday)”, Russian Math. Surveys, 69:1 (2014), 181–182  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
57. A. N. Parshin, “A holomorphic version of the Tate-Iwasawa method for unramified $L$-functions. I”, Sb. Math., 205:10 (2014), 1473–1491  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
58. V. A. Lektorskii, A. A. Guseinov, A. L. Nikiforov, A. N. Parshin, A. V. Dybo, S. A. Krylov, A. F. Yakovleva, E. O. Trufanova, S. V. Pirozhkova, I. V. Usoltseva, D. A. Kibalchich, “Mozhno li izmeryat nauchnoe tvorchestvo? (Materialy «kruglogo stola»)”, Voprosy filosofii, 2014, no. 4, 50–74  elib (cited: 9)
59. V. A. Lektorskii, A. A. Guseinov, A. N. Parshin, S. V. Pirozhkova, V. V. Pirozhkov, “Mozhno li izmeryat nauchnoe tvorchestvo?”, Sotsiologiya, 2014, no. 2, 85–90  elib
60. S. Gorchinskiy, A. Ovchinnikov, “Isomonodromic differential equations and differential categories”, J. Math. Pures Appl. (9), 102:1 (2014), 48–78 , arXiv: 1202.0927  crossref  mathscinet (cited: 4)  zmath  isi (cited: 4)  elib (cited: 4 \citnumescopus 7)  scopus

   2013
61. F. A. Bogomolov, F. Kataneze, Yu. I. Manin, S. Yu. Nemirovskii, V. V. Nikulin, A. N. Parshin, V. V. Przhiyalkovskii, Yu. G. Prokhorov, M. Teikher, A. S. Tikhomirov, V. M. Kharlamov, I. A. Cheltsov, I. R. Shafarevich, V. V. Shokurov, “Viktor Stepanovich Kulikov (k shestidesyatiletiyu so dnya rozhdeniya)”, UMN, 68:2(410) (2013), 205–207  mathnet  crossref  mathscinet  zmath  adsnasa  elib
62. V. V. Nikulin, “Kählerian K3 surfaces and Niemeier lattices. I”, Izv. Math., 77:5 (2013), 954–997  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3 \citnumescopus 2)  elib  scopus
63. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, The 6th MSJ-SI-Development of Moduli Theory, Conference dedicated to 60th birthday of Mukai (Kyoto, RIMS, 17–21 June 2013), Research Institute of Mathematical Sciences (RIMS), Kyoto University, Japan, 2013, 1
64. V. V. Nikulin, “Kahlerian K3 surfaces and Niemeier lattices”, Project: Mock modular forms, Moonshine and String Theory, 2013 (New York State, USA, 25 September 2013), Simons Center for Geomery and Physics, Stony Brook University, 2013, 1–1
65. S. V. Vostokov, S. O. Gorchinskiy, A. B. Zheglov, Yu. G. Zarkhin, Yu. V. Nesterenko, D. O. Orlov, D. V. Osipov, V. L. Popov, A. G. Sergeev, I. R. Shafarevich, “Aleksei Nikolaevich Parshin (on his 70th birthday)”, Russian Math. Surveys, 68:1 (2013), 189–197  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
66. D. V. Osipov, “The unramified two-dimensional Langlands correspondence”, Izv. Math., 77:4 (2013), 714–741 , arXiv: 1210.3780  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1 \citnumescopus 2)  elib (cited: 1 \citnumescopus 2)  scopus
67. D. V. Osipov, “Noncommutative reciprocity laws on algebraic surfaces: the case of tame ramification”, Sb. Math., 204:12 (2013), 1797–1810 , arXiv: 1307.1995  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
68. D. V. Osipov, “Dvumernoe sootvetstvie Lenglendsa”, Algebra i teoriya chisel: sovremennye problemy i prilozheniya: Tezisy dokladov XI Mezhdunarodnoi konferentsii (Saratov, 9–14 sentyabrya 2013 g.), ISBN 978-5-292-04189-4, Izdatelstvo Saratovskogo universiteta, Saratov, 2013, 64–65 old.sgu.ru/files/nodes2013/67438/Tezis.pdf
69. D. V. Osipov, “Vvedenie v teoriyu vysshikh adelei”, programma lektsii, Letnyaya shkola-konferentsiya po algebraicheskoi geometrii i kompleksnomu analizu dlya molodykh uchenykh Rossii (Yaroslavl, YaGPU, 20–25 maya 2013 g.), Matematicheskii institut im. V. A. Steklova RAN, Moskva, 2013, 8–9
70. D. V. Osipov, Kategornye metody v teorii vysshikh adelei i ikh primenenie, Diss. … dokt. fiz.-matem. nauk, Matematicheskii institut im. V. A. Steklova RAN, Moskva, 2013 , 195 pp. avtoreferat dissertatsii
71. Vik. S. Kulikov, “Factorizations in finite groups”, Sb. Math., 204:2 (2013), 237–263 \citnumescopus 1  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
72. Vik. S. Kulikov, V. M. Kharlamov, “Covering semigroups”, Izv. Math., 77:3 (2013), 594–626  mathnet  crossref  crossref  mathscinet  zmath  zmath  adsnasa  isi (cited: 2 \citnumescopus 1)  elib  elib  scopus
73. F. Bogomolov, V. S. Kulikov, “On the irreducibility of Hilbert scheme of surfaces of minimal degree”, Cent. Eur. J. Math., 11:2 (2013), 254–263  crossref  mathscinet  zmath  isi (cited: 1)  elib (cited: 1 \citnumescopus 1)  scopus
74. Vik. S. Kulikov, “Covering semigroups”, Complex Algebraic Geometry (Mathematisches Forschungsinstitut Oberwolfach, 26 May – 1 June 2013), Oberwolfach Reports, Report No. 27/2013, 10, no. 2, European Mathematical Society, 2013, 1595–1598 http://www.mfo.de/occasion/1322/www_view  crossref
75. I. R. Shafarevich, “A problem about the tenth discriminant”, Algebra i analiz, 25:4 (2013), 260–277  mathnet  mathscinet  zmath  elib; I. R. Shafarevich, “A problem about the tenth discriminant”, St. Petersburg Math. J., 25:4 (2014), 699–711  crossref  mathscinet  zmath  isi (cited: 1)  elib  scopus
76. V. L. Popov, “Tori in the Cremona groups”, Izv. Math., 77:4, special issue on the occasion of I. R. Shafarevich's 90th anniversary (2013), 742–771 https://www.math.uni-bielefeld.de/LAG/man/474.pdf  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 1 \citnumescopus 2)  elib (cited: 1 \citnumescopus 2)  scopus
77. V. L. Popov, “Some subgroups of the Cremona groups”, Affine algebraic geometry, Proceedings of the conference on the occasion of M. Miyanishi's 70th birthday (Osaka, Japan, 3–6 March 2011), World Scientific Publishing Co., Singapore, 2013, 213–242 https://www.math.uni-bielefeld.de/LAG/man/448.pdf  crossref  isi (cited: 3)
78. V. L. Popov, “Algebraic groups and the Cremona group”, Algebraic groups (Mathematisches Forschungsinstitut Oberwolfach, 7 April – 13 April 2013), Oberwolfach Reports, 10, no. 2, European Mathematical Society, 2013, 1053–1055
79. V. L. Popov, “Rationality and the FML invariant”, Journal of the Ramanujan Mathematical Society, 28A (2013), 409–415 http://www.mathjournals.org/jrms/2013-028-000/2013-28A-SPL-017.html, https://www.math.uni-bielefeld.de/LAG/man/485.pdf (special Issue-2013 dedicated to C. S. Seshadri's 80th birthday)  mathscinet (cited: 1)  zmath  isi (cited: 2)
80. A. N. Parshin, “Generalizations of the Langlands program”, Lecture course, The Langlands program and adelic theory (June 1–8, 2013, SPb), Euler Mathematical Institute, 2013 , http://www.pdmi.ras.ru/EIMI/2013/Lpat/schedule.html
81. A. N. Parshin, “Base change and automorphic induction in relative dimension 1”, The Langlands program and adelic theory (June 10–14, 2013, SPb), Euler Mathematical Institute, 2013 , http://www.pdmi.ras.ru/EIMI/2013/Lpat/abstracts.pdf
82. A. N. Parshin, “Teoriya predstavlenii i algebraicheskaya geometriya (novyi vzglyad na starye zadachi)”, I. M. Gelfand i sovremennaya matematika (17–19 dekabrya 2013 g.), MGU, 2013 , http://gelfand100.mech.math.msu.su/cgi-bin/gelfand100.fcgi?lang=ru&page=abstracts
83. A. N. Parshin, O tak nazyvaemykh reformakh (intervyu), Expert-online, 2 iyulya, 2013 http://expert.ru/2013/07/2/uchenyie-o-reforme-ran-chast-3/
84. A. N. Parshin (sost.), Rossiiskaya Akademiya nauk. Khronika protesta. Iyun-iyul 2013, Nauka, M., 2013 , 368 pp. http://www.mi.ras.ru/news/13/RANprotest2013_2ed-1.pdf
85. A. N. Parshin, Kak izmeryat uchenykh?, Russkii reporter, 22 oktyabrya, 2013 http://rusrep.ru/article/2013/10/22/ran/
86. A. N. Parshin, Urok angliiskogo dlya ministra obrazovaniya, Ekho Moskvy, 23 oktyabrya, 2013 http://echo.msk.ru/blog/parshin_a/1183156-echo/
87. A. N. Parshin, Akademiya dolzhna govorit o sebe gromko: RAN = S-300, Ekho Moskvy, 16 noyabrya, 2013 http://echo.msk.ru/blog/parshin_a/1199317-echo/
88. S. Gorchinskiy, V. Guletskii, “Non-trivial elements in the Abel–Jacobi kernels of higher-dimensional varieties”, Adv. Math., 241 (2013), 162–191 , arXiv: 1009.1431  crossref  mathscinet  isi  elib  scopus
89. H. Gillet, S. Gorchinskiy, A. Ovchinnikov, “Parameterized Picard–Vessiot extensions and Atiyah extensions”, Adv. Math., 238 (2013), 322–411 , arXiv: 1110.3526  crossref  mathscinet (cited: 12)  isi (cited: 12)  elib (cited: 12 \citnumescopus 15)  scopus
90. S. Gorchinskiy, D. Orlov, “Geometric phantom categories”, Publ. Math. Inst. Hautes Études Sci., 117:1 (2013), 329–349 , arXiv: 1209.6183  crossref  mathscinet (cited: 6)  zmath  adsnasa  isi (cited: 9)  elib (cited: 5 \citnumescopus 7)  scopus
91. S. O. Gorchinskiy, “Generation of modules and transcendence degree of zero-cycles”, Izv. Math., 77:4 (2013), 696–699  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
92. R. Ya. Budylin, S. O. Gorchinskiy, “Intersections of adelic groups on a surface”, Sb. Math., 204:12 (2013), 1701–1711  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2012
93. Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space. II”, Izv. Math., 76:2 (2012), 356–364  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 3)  elib (cited: 3 \citnumescopus 2)  elib (cited: 3 \citnumescopus 2)  scopus
94. F. Bogomolov, V. S. Kulikov, “On the diffeomorphic type of the complement to a line arrangement in a projective plane”, Cent. Eur. J. Math., 10:2 (2012), 521–529  crossref  mathscinet  isi  elib  scopus
95. Vik. S. Kulikov, “Appendix to the paper: Yu. G. Zarhin, ‘Polynomials in one variable and ranks of certain tangent maps’”, Math. Notes, 91:4 (2012), 514–516  mathnet  crossref  crossref  isi (cited: 2 \citnumescopus 3)  scopus
96. V. S. Kulikov, Yu. G. Prokhorov, I. A. Cheltsov, “Predislovie”, Iskovskikh, Vasilii Alekseevich. Algebraicheskie poverkhnosti: geometriya i arifmetika, MTsNMO, M., 2012
97. D. V. Anosov, V. A. Vassiliev, V. S. Vladimirov, R. V. Gamkrelidze, A. A. Gonchar, V. A. Il'in, V. V. Kozlov, A. V. Kryazhimskiy, S. M. Nikol'skii, A. N. Parshin, V. M. Filippov, I. R. Shafarevich, “Lev Dmitrievich Kudryavtsev (obituary)”, Russian Math. Surveys, 67:3 (2012), 569–571  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
98. I. R. Shafarevich, A. Remizov, Linear algebra and geometry, Springer-Verlag, Berlin, 2012, ISBN: 978-3642309939  mathscinet (cited: 4)
99. V. L. Popov, Editor's preface to the Russian translation of the book: D. A. Cox, S. Katz, Mirror symmetry and algebraic geometry, ed. V. L. Popov, MCCME, Moscow, 2012, 5, ISBN: 978-5-4439-0206-7
100. V. L. Popov, “Problems for the problem session”, International conference “Groups of Automorphisms in Birational and Affine Geometry” (Levico Terme (Trento), October 29th – November 3rd, 2012), 2012 , 2 pp. http://www.science.unitn.it/cirm/Trento_postersession.html
101. Teoriya chisel, algebra i analiz, Sbornik statei. K 75-letiyu so dnya rozhdeniya professora Anatoliya Alekseevicha Karatsuby, Tr. MIAN, 276, ed. A. N. Parshin, A. G. Sergeev, MAIK, M., 2012 , 288 pp.  mathnet
102. A. N. Parshin, “Questions and remarks to the Langlands programme”, Russian Math. Surveys, 67:3 (2012), 509–539  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib (cited: 2 \citnumescopus 2)  elib (cited: 2 \citnumescopus 2)  scopus
103. S. A. Arnal', A. N. Parshin, “On irreducible representations of discrete Heisenberg groups”, Math. Notes, 92:3 (2012), 295–301  mathnet  crossref  crossref  zmath  isi (cited: 3)  elib (cited: 3 \citnumescopus 3)  elib (cited: 3 \citnumescopus 3)  scopus
104. S. Gorchinskiy, V. Guletskii, “Motives and representability of algebraic cycles on threefolds over a field”, J. Algebraic Geom., 21:2 (2012), 347–373 , arXiv: 0806.0173v2  crossref  mathscinet (cited: 7)  zmath  isi (cited: 7)  elib (cited: 6 \citnumescopus 8)  scopus
105. S. Gorchinskiy, V. Guletskii, “Transcendence degree of zero-cycles and the structure of Chow motives”, Cent. Eur. J. Math., 10:2 (2012), 559–568 , arXiv: 1009.1434  crossref  mathscinet (cited: 1)  zmath  isi (cited: 1)  elib (cited: 1 \citnumescopus 1)  scopus

   2011
106. V. V. Nikulin, “The transition constant for arithmetic hyperbolic reflection groups”, Izv. Math., 75:5 (2011), 971–1005  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib (cited: 1 \citnumescopus 1)  elib (cited: 1 \citnumescopus 1)  scopus
107. Viacheslav V. Nikulin, “Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups”, Proc. Steklov Inst. Math., 273 (2011), 229–237  mathnet  crossref  mathscinet  zmath  isi (cited: 1)  elib
108. D. V. Osipov, A. N. Parshin, “Harmonic analysis on local fields and adelic spaces. II”, Izv. Math., 75:4 (2011), 749–814 , arXiv: 0912.1577  mathnet  mathnet  crossref  crossref  mathscinet (cited: 3)  zmath  adsnasa  isi (cited: 8)  elib (cited: 3 \citnumescopus 2)  elib (cited: 3 \citnumescopus 2)  scopus
109. Denis Osipov, Xinwen Zhu, “A categorical proof of the Parshin reciprocity laws on algebraic surfaces”, Algebra Number Theory, 5:3 (2011), 289–337 , arXiv: 1002.4848  crossref  mathscinet (cited: 7)  zmath  isi (cited: 5 \citnumescopus 7)  scopus
110. D. V. Osipov, A. N. Parshin, “Harmonic analisys and the Riemann-Roch theorem”, Dokl. Math., 84:3 (2011), 826–829 , arXiv: 1107.0408  crossref  mathscinet  zmath  isi (cited: 2)  elib (cited: 3 \citnumescopus 2)  elib (cited: 3 \citnumescopus 2)  scopus
111. Vik. S. Kulikov, “Factorization semigroups and irreducible components of the Hurwitz space”, Izv. Math., 75:4 (2011), 711–748  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib (cited: 6 \citnumescopus 4)  elib (cited: 6 \citnumescopus 4)  scopus
112. Vik.S. Kulikov, A Remark on Classical Pluecker's formulae, 2011 , 8 pp., arXiv: 1101.5042
113. J.-L. Colliot-Thélène, B. Kunyavskiĭ, V. L. Popov, Z. Reichstein, “Is the function field of a reductive Lie algebra purely transcendental over the field of invariants for the adjoint action?”, Compos. Math., 147:2 (2011), 428–466  crossref  mathscinet (cited: 9)  zmath  isi (cited: 7 \citnumescopus 5)  scopus
114. V. L. Popov, “Cross-sections, quotients, and representation rings of semisimple algebraic groups”, Transform. Groups, 16:3, special issue dedicated to Tonny Springer on the occasion of his 85th birthday (2011), 827–856  crossref  mathscinet (cited: 3)  zmath  isi (cited: 4)  elib (cited: 3 \citnumescopus 4)  scopus
115. V. L. Popov, “On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties”, Affine algebraic geometry: the Russell Festschrift, CRM Proceedings and Lecture Notes, 54, Amer. Math. Soc., 2011, 289–311 https://www.math.uni-bielefeld.de/LAG/man/375.pdf  mathscinet (cited: 10)  zmath  isi (cited: 11)
116. V. L. Popov, “Invariant rational functions on semisimple Lie algebras and the Gelfand–Kirillov conjecture”, Algebra and Mathematical Logic, International conference commemorating $100$th birthday of professor V. V. Morozov (Kazan, September 25–30, 2011), Kazan Federal Univ., Kazan, 2011, 19
117. D. A. Timashev, Homogeneous spaces and equivariant embeddings, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, VIII, 138, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011, ISBN: 978-3-642-18398-0 , 253 pp.  crossref  mathscinet (cited: 22)  zmath
118. H. E. A. E. Campbell, D. L. Wehlau, Modular invariant theory, Encyclopaedia of Mathematical Sciences, Subseries Invariant Theory and Algebraic Transformation Groups, IX, 139, eds. R. V. Gamkrelidze, V. L. Popov, Springer, Berlin, 2011, ISBN: 978-3-642-17403-2 , 233 pp.  crossref  mathscinet (cited: 13)
119. A. N. Parshin, “Notes on the Poisson formula”, Algebra i analiz, 23:5 (2011), 1–54  mathnet (cited: 3)  mathscinet (cited: 1)  elib (cited: 4); A. N. Parshin, “Notes on the Poisson formula”, St. Petersburg Math. J., 23:5 (2012), 781–818  crossref  mathscinet  isi (cited: 2)  elib (cited: 3 \citnumescopus 2)  scopus
120. A. N. Parshin, “Mathematics in Moscow: we had a great epoch”, Istor.-Mat. Issled. (2), 2011, no. 14(49), 11–25  mathscinet
121. A. N. Parshin (sost., red.), Igra v tsyfir ili kak teper otsenivayut trud uchenogo, MTsNMO, M., 2011 http://www.mccme.ru/free-books/bibliometric.pdf
122. S. Gorchinskiy, V. Guletskii, Positive model structures for abstract symmetric spectra, 2011 , 24 pp., arXiv: 1108.3509
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