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8 Gubkina St. Moscow,
119991, 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 of RAS, Head of Department
office: 525; tel.: +7 (499) 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

Doctor Phys.-Math. Sci., Science Deputy Director, Leading Scientific Researcher
office: 409; tel.: +7 (499) 941 01 79, +7 (495) 984 81 41 * 35 33; 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 Victor Stepanovich

Doctor Phys.-Math. Sci., Professor, Leading Scientific Rsearcher
office: 524; tel.: +7 (499) 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 Victor Stepanovich
Nikulin Vyacheslav Valentinovich

Doctor Phys.-Math. Sci., Leading Scientific Researcher
office: 523; e-mail: nikulin@mi-ras.ru
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: 523; tel.: +7 (499) 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, Corresponding Member of RAS, Chief Scientific Researcher
office: 524; tel.: +7 (499) 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
Trepalin Andrey Sergeevich

Candidate Phys.-Math. Sci., Scientific Researcher
office: 409; e-mail: trepalin@mi-ras.ru

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
Shafarevich Igor Rostislavovich (03.06.1923 – 19.02.2017)

Doctor Phys.-Math. Sci., Academician of RAS

Personal page: https://homepage.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 (03.06.1923 – 19.02.2017)
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
Shafarevich Seminar
Steklov Mathematical Institute, room 540 (Gubkina 8)
Arithmetic geometry seminar
Steklov Mathematical Institute, Room. 303 (8 Gubkina) + Zoom
BeijingMoscow Mathematics Colloquium
online

Seminar by Algebra Department
Seminar organizers: I. R. Shafarevich; A. N. Parshin
Seminar on Arithmetic Algebraic Geometry
Seminar organizer: A. N. Parshin
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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 |


1. D. V. Osipov, “Central extensions and Riemann-Roch theorem on algebraic surfaces”, Mat. Sb. (to appear)  mathnet
2. Vik. S. Kulikov, Mat. Sb. (to appear)  mathnet

   2021
3. V. A. Alexeev, C. Birkar, F. A. Bogomolov, Yu. G. Zarhin, V. V. Nikulin, D. O. Orlov, A. N. Parshin, Yu. G. Prokhorov, M. Reid, A. S. Tikhomirov, I. A. Cheltsov, “Vyacheslav Vladimirovich Shokurov (on his 70th birthday)”, Russian Math. Surveys, 76:3 (2021), 553–556  mathnet  crossref  crossref  isi
4. D. V. Osipov, Central extensions and Riemann-Roch theorem on algebraic surfaces, 2021 , 23 pp., arXiv: 2105.14626
5. Vik. S. Kulikov, Mat. Sb.  mathnet  crossref

   2021
6. Vladimir L. Popov, “Algebraic groups whose orbit closures contain only finitely many orbits”, Transform. Groups, 26:2 (2021), 671–689 , arXiv: 1707.06914v2  mathnet  crossref  isi  scopus
7. Vladimir L. Popov, On algebraic group varieties, 2021 , 5 pp., arXiv: 2102.08032
8. Vladimir L. Popov, Yuri G. Zarhin, “Root systems in number fields”, Indiana Univ. Math. J., 70:1 (2021), 285–300 , arXiv: 1808.01136  mathnet  crossref  isi  scopus
9. Vladimir L. Popov, Underlying varieties and group structures, 2021 , 19 pp., arXiv: 2105.12861
10. Vladimir L. Popov, Embeddings of groups $\mathrm{Aut}(F_n)$ into automorphism groups of algebraic varieties, 2021 , 15 pp., arXiv: 2106.02072
11. V. L. Popov, Lektsii o diskretnykh gruppakh, porozhdennykh kompleksnymi otrazheniyami, Tri lektsii na shkole-konferentsii “Algebry Li, algebraicheskie gruppy i teoriya invariantov” (Samara 21–26 avgusta 2021 g.), 2021 (Published online) www.researchgate.net/publication/354052172_Lekcii_o_diskretnyh_gruppah_porozdennyh_kompleksnymi_otrazeniami}
12. V. L. Popov, “Gruppovye struktury na algebraicheskikh mnogoobraziyakh”, Dokl. RAN. Mat. inform. prots. upr., 500:1 (2021) (to appear)
13. D. Bergh, S. Gorchinskiy, M. Larsen, V. Lunts, “Categorical measures for finite group actions”, Journal of Algebraic Geometry, 30 (2021), 685–757

   2020
14. Viacheslav V. Nikulin, Some examples of K3 surfaces with infinite automorphism group which preserves an elliptic pencil, 2020 , 12 pp., arXiv: 2006.03942
15. Math. Notes, 108:4 (2020), 542–549  mathnet  crossref  mathscinet  isi  elib  scopus
16. D. V. Osipov, A. N. Parshin, “Harmonic analysis on the rank-$2$ value group of a two-dimensional local field”, Sb. Math., 211:1 (2020), 115–160 , arXiv: 1911.09718  mathnet  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus (cited: 1)
17. S. O. Gorchinskiy, D. V. Osipov, “The higher-dimensional Contou-Carrère symbol and commutative group schemes”, Russian Math. Surveys, 75:3 (2020), 572–574  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  scopus (cited: 1)
18. S. O. Gorchinskiy, D. V. Osipov, “Iterated Laurent series over rings and the Contou-Carrère symbol”, Russian Math. Surveys, 75:6 (2020), 995–1066  mathnet  crossref  crossref  mathscinet  isi  scopus
19. Vik. S. Kulikov, “On rigid germs of finite morphisms of smooth surfaces”, Sb. Math., 211:10 (2020), 1354–1381  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
20. Viktor S. Kulikov, “On the almost generic covers of the projective plane”, Pure Appl. Math. Q., 16:4 (2020), 1067–1082 , arXiv: 1812.01313  mathnet  crossref  isi  scopus;
21. S. I. Adian, V. M. Buchstaber, E. I. Zelmanov, S. V. Kislyakov, V. V. Kozlov, Yu. V. Matiyasevich, S. P. Novikov, D. O. Orlov, A. N. Parshin, V. L. Popov, D. V. Treschev, “Vladimir Petrovich Platonov (on his 80th birthday)”, Russian Math. Surveys, 75:2 (2020), 387–391  mathnet  crossref  crossref  isi
22. Vladimir L. Popov, “Variations on the theme of Zariski${}^{,}$s Cancellation Problem”, Polynomial Rings and Affine Algebraic Geometru, PRAAG 2018, Tokyo, Japan, February 12–16, 2018, Springer Proc. Math. Statist., 319, eds. S. Kuroda et al., Springer, Cham, 2020, 233–250 , arXiv: 1901.07030  mathnet  crossref  scopus;
23. V. L. Popov, Yu. G. Zarhin, “Rings of integers in number fields, and root lattices”, Dokl. Math., 101:3 (2020), 221–223  mathnet  crossref  crossref  isi  elib  scopus
24. Vladimir L. Popov, Yuri G. Zarhin, “Root lattices in number fields”, Bull. Math. Sci., 2020, 1–22 (Published online) , arXiv: 2002.04641  mathnet  crossref  scopus
25. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya : uchebnik i praktikum dlya vuzov, 2-e izd., pererab. i dop., Yurait, Moskva, 2020 , 232 pp. http://urait.ru/bcode/451230
26. L. D. Beklemishev, A. V. Vasil'ev, E. P. Vdovin, S. S. Goncharov, V. V. Kozlov, P. S. Kolesnikov, V. D. Mazurov, Yu. V. Matiyasevich, A. S. Morozov, A. N. Parshin, V. G. Puzarenko, M. V. Schwidefsky, “Yurii Leonidovich Ershov (on his 80th birthday)”, Russian Math. Surveys, 75:3 (2020), 581–585  mathnet  crossref  crossref  mathscinet  isi
27. Math. Notes, 107:3 (2020), 425–434  mathnet  crossref  mathscinet  isi  elib  scopus
28. Andrey Trepalin, “Del Pezzo surfaces over finite fields”, Finite Fields Appl., 68 (2020), 101741 , 32 pp., arXiv: 1803.07421  mathnet  crossref  mathscinet  isi  scopus;
29. Daniel Loughran, Andrey Trepalin, “Inverse Galois problem for del Pezzo surfaces over finite fields”, Math. Res. Lett., 27:3 (2020), 845–853 , arXiv: 1811.06785  mathnet  crossref  mathscinet  isi (cited: 1)  scopus (cited: 1);

   2019
30. V. V. Nikulin, “Classification of degenerations and Picard lattices of Kählerian K3 surfaces with symplectic automorphism group $D_6$”, Izv. Math., 83:6 (2019), 1201–1233  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus (cited: 1)
31. Viacheslav V. Nikulin, “Classification of Degenerations and Picard Lattices of Kählerian K3 Surfaces with Symplectic Automorphism Group $C_4$”, Proc. Steklov Inst. Math., 307 (2019), 130–161  mathnet  crossref  crossref  isi  elib  scopus
32. A. B. Zheglov, D. V. Osipov, “Lax pairs for linear Hamiltonian systems”, Siberian Mathematical Journal, 60:4 (2019), 592–604 https://rdcu.be/bON6F, arXiv: 1901.11130  mathnet  crossref  crossref  zmath  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
33. D. V. Osipov, “Grothendieck–Serre duality and theta-invariants on arithmetic surfaces”, Doklady Mathematics, 100:1 (2019), 385–388  mathnet  crossref  crossref  zmath  isi  elib  scopus
34. V. A. Artamonov, V. M. Buchstaber, È. B. Vinberg, L. V. Kuz'min, V. S. Kulikov, V. N. Latyshev, A. V. Mikhalev, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, “Evgenii Solomonovich Golod (obituary)”, Russian Math. Surveys, 74:5 (2019), 927–933  mathnet  crossref  crossref  mathscinet  adsnasa  isi
35. Vik. S. Kulikov, “On the variety of the inflection points of plane cubic curves”, Izv. Math., 83:4 (2019), 770–795  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
36. Algebra, teoriya chisel i algebraicheskaya geometriya, Sbornik statei. Posvyaschaetsya pamyati akademika Igorya Rostislavovicha Shafarevicha, Trudy MIAN, 307, ed. A. N. Parshin, V. L. Popov, S. O. Gorchinskii, Vik. S. Kulikov, MIAN, M., 2019 , 328 pp.  mathnet
37. Vik. S. Kulikov, “On Germs of Finite Morphisms of Smooth Surfaces”, Proc. Steklov Inst. Math., 307 (2019), 85–114  mathnet  crossref  crossref  mathscinet  mathscinet  isi  elib  scopus
38. S. O. Gorchinskiy, Vik. S. Kulikov, A. N. Parshin, V. L. Popov, “Igor Rostislavovich Shafarevich and His Mathematical Heritage”, Proc. Steklov Inst. Math., 307 (2019), 1–21  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
39. V. L. Popov, “Three plots about the Cremona groups”, Izv. Math., 83:4 (2019), 830–859  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 2)  elib  scopus (cited: 1)  scopus (cited: 1)  scopus (cited: 1)
40. Vladimir L. Popov, “On conjugacy of stabilizers of reductive group actions”, Mathematical Notes, 105:4 (2019), 580–581 , arXiv: 1901.10858  mathnet  crossref  crossref  crossref  mathscinet  zmath  isi  elib  scopus  scopus  scopus
41. V. L. Popov, “Orbit closures of the Witt group actions”, Proc. Steklov Inst. Math., 307, Algebra, Number Theory, and Algebraic Geometry. Collected papers. In Memory of Academician Igor Rostislavovich Sharafevich (2019), 193–197  mathnet  crossref  crossref  isi (cited: 1)  elib  scopus (cited: 1)
42. V. L. Popov, “Rational differential forms on the variety of flexes of plane cubics”, Russian Math. Surveys, 74:3 (2019), 543–545  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib  scopus
43. V. L. Popov, “Sistemy kornei i reshetki kornei v chislovykh polyakh”, Algebra, teoriya chisel i diskretnaya geometriya: sovremennye problemy, prilozheniya i problemy istorii. Materialy XVII Mezhdunarodnoi konferentsii, posvyaschennoi stoletiyu so dnya rozhdeniya professora N. I. Feldmana i devyanostoletiyu so dnya rozhdeniya professorov A. I. Vinogradova, A. V. Malysheva i B. F. Skubenko (Tula, 2328 sentyabrya 2019 g.), ISBN 5879543889, Biblioteka Chebyshevskogo sbornika, Tulskii gosudarstvennyi pedagogichekii universitet im. L. N. Tolstogo, Tula, 2019, 223–226
44. A. N. Parshin, “The Mellin Transform and the Plancherel Theorem for the Discrete Heisenberg Group”, Proc. Steklov Inst. Math., 307 (2019), 174–192  mathnet  crossref  crossref  mathscinet  isi  elib  scopus
45. V. A. Alexandrov, L. D. Beklemishev, V. M. Buchstaber, A. Yu. Vesnin, A. A. Gaifullin, N. P. Dolbilin, N. Yu. Erokhovets, M. D. Kovalev, V. S. Makarov, S. P. Novikov, D. O. Orlov, A. N. Parshin, I. Kh. Sabitov, D. V. Treschev, O. K. Sheinman, E. V. Shchepin, “Mikhail Ivanovich Shtogrin (on his 80th birthday)”, Russian Math. Surveys, 74:6 (2019), 1159–1162  mathnet  crossref  crossref  mathscinet  adsnasa  isi
46. A. N. Parshin, “Sudba nauki (neskolko zamechanii k nesostoyavshimsya lektsiyam F. Daisona i I. R. Shafarevicha)”, Voprosy filosofii, 2019, no. 9, 98–107  crossref  isi  scopus
47. A. N. Parshin, “Ot «bezumnoi» geometrii Lobachevskogo do GPS-navigatorov”, Matematicheskaya sostavlyayuschaya, 2-e izd., rassh. i dop., eds. N. N. Andreev, S. P. Konovalov, N. M. Panyunin, Matematicheskie etyudy, M., 2019, 12 https://book.etudes.ru/toc/glonass
48. A. Trepalin, “Quotients of del Pezzo surfaces”, International Journal of Mathematics, 30:11 (2019), 1950068 , 40 pp., arXiv: https://arxiv.org/abs/1906.04030  crossref  mathscinet  zmath  isi  scopus

   2018
49. V. V. Nikulin, “Classification of Picard lattices of K3 surfaces”, Izv. Math., 82:4 (2018), 752–816  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 4)  elib  scopus (cited: 3)
50. Valery Gritsenko, Viacheslav V. Nikulin, “Lorentzian Kac–Moody algebras with Weyl groups of 2-reflections”, Proceedings of London Mathematical Society, 116:3 (2018), 485–533  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 10)  scopus (cited: 6)
51. Viacheslav V. Nikulin, Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with small finite symplectic automorphism groups, 2018 , 39 pp., arXiv: 1804.00991

   2019
52. D. V. Osipov, “Adelic quotient group for algebraic surfaces”, St. Petersburg Mathematical Journal, 30 (2019), 111–122 , arXiv: 1706.09826  mathnet  mathnet  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   2018
53. D. V. Osipov, “Arithmetic surfaces and adelic quotient groups”, Izv. Math., 82:4 (2018), 817–836 , arXiv: 1801.02282  mathnet  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)
54. A. B. Zheglov, D. V. Osipov, “On first integrals of linear Hamiltonian systems”, Dokl. Math., 98:3 (2018), 616–618  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  scopus (cited: 4)
55. Vik. S. Kulikov, “On divisors of small canonical degree on Godeaux surfaces”, Sb. Math., 209:8 (2018), 1155–1163  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 1)  elib  scopus (cited: 1)
56. Vik. S. Kulikov, G. B. Shabat, “Igor Rostislavovich Shafarevich – velikii matematik i Uchitel”, Matematicheskoe prosveschenie, 2018, Tretya seriya, no. 22, 37–63  mathnet (cited: 1)
57. Vik. S. Kulikov, On the variety of the inflection points of plane cubic curves, 2018 , 27 pp., arXiv: 1810.01705
58. I. V. Arzhantsev, V. M. Buchstaber, L. V. Kuz'min, V. S. Kulikov, A. Yu. Ol'shanskii, D. O. Orlov, A. N. Parshin, D. I. Piontkovskii, Yu. G. Prokhorov, “Evgenii Solomonovich Golod”, Chebyshevskii Sb., 19:2 (2018), 542–545  mathnet  crossref
59. Vladimir L. Popov, “The Jordan property for Lie groups and automorphism groups of complex spaces”, Math. Notes, 103:5 (2018), 811–819  mathnet  crossref  mathscinet  isi (cited: 5)  elib  scopus (cited: 5)
60. Vladimir L. Popov, Three plots about the Cremona groups, 2018 , 27 pp., arXiv: 1810.00824
61. Victor G. Kac, Vladimir L. Popov, Editors, Lie Groups, Geometry, and Representation Theory. A Tribute to the Life and Work of Bertram Kostant, Series ISSN 0743-1643, ISBN 978-3-030-02191-7, Progress in Mathematics, 326, First Edition, Birkhäuser Basel (Copyright Holder: Springer Nature Switzerland AG), Basel, 2018 , X, 538 pp. www.springer.com/us/book/9783030021900  crossref  mathscinet  zmath
62. Vladimir L. Popov, Yuri G. Zarhin, Root symstems in number fields, Preprint MPIM 18-38, Max-Planck-Institut für Mathematik, Bonn, 2018 , 19 pp. www.mpim-bonn.mpg.de/preblob/5898
63. Vladimir L. Popov, “Modality of representations, and packets for $\theta$-groups”, Lie Groups, Geometry, and Representation Theory. A Tribute to the Life and Work of Bertram Kostant, Prog. Math., 326, Birkhäuser Basel (Copyright Holder: Springer Nature Switzerland AG), Basel, 2018, 459–479 , arXiv: 1707.07720  mathnet  crossref  mathscinet  zmath  scopus (cited: 2)
64. V. L. Popov, “Compressible finite groups of birational automorphisms”, Dokl. Math., 98:2 (2018), 413–415  mathnet  crossref  crossref  zmath  isi  elib  scopus
65. V. L. Popov, Yu. G. Zarhin, “Types of root systems in number fields”, Dokl. Math., 98:3 (2018), 600–602  mathnet  crossref  crossref  isi  elib  scopus
66. A. N. Parshin, Vestnik RAN, 88:11 (2018), 982–984  mathnet  crossref  elib
67. S. Gorchinskiy, V. Guletskiǐ, “Positive model structures for abstract symmetric spectra”, Appl. Categ. Struct., 26:1 (2018), 29–46 , arXiv: 1108.3509v3  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 4)
68. S. O. Gorchinskiy, D. M. Krekov, “An explicit formula for the norm in the theory of fields of norms”, Russian Math. Surveys, 73:2 (2018), 369–371  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 1)  elib  scopus
69. S. O. Gorchinskiy, D. N. Tyurin, “Relative Milnor $K$-groups and differential forms of split nilpotent extensions”, Izv. Math., 82:5 (2018), 880–913  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  elib  scopus (cited: 1)
70. S.Gorchinskiy, C.Shramov, Unramified Brauer group and its applications, Translations of Mathematical Monographs, 246, American Mathematical Society, Providence, 2018 , xvii+179 pp.  crossref  mathscinet  zmath
71. S.O.Gorchinskii, K.A.Shramov, Nerazvetvlennaya gruppa Brauera i ee prilozheniya, MTsNMO, Moskva, 2018 , 200 pp.
72. Andrey Trepalin, “Quotients of del Pezzo surfaces of high degree”, Transactions of the American Mathematical Society, 370:9 (2018), 6097–6124 , arXiv: https://arxiv.org/abs/1312.6904  mathscinet  zmath  adsnasa
73. Andrey Trepalin, “Quotients of del Pezzo surfaces of degree $2$”, Moscow Mathematical Journal, 18:3 (2018), 557–597 , arXiv: https://arxiv.org/abs/1709.02006  mathnet (cited: 1)  crossref  mathscinet  zmath  isi (cited: 1)  scopus (cited: 1)

   2017
74. Valery Gritsenko, Viacheslav V. Nikulin, Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras, 2017 , 15 pp., arXiv: 1702.07551
75. V. V. Nikulin, “Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III”, Izv. Math., 81:5 (2017), 985–1029  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 3)  elib  scopus (cited: 3)
76. Viacheslav V. Nikulin, Classification of Picard lattices of K3 surfaces, 2017 , 68 pp., arXiv: 1707.05677
77. V. A. Gritsenko, V. V. Nikulin, “Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac–Moody algebras”, Trans. Moscow Math. Soc., 78 (2017), 75–83  mathnet  crossref  mathscinet  mathscinet  elib  elib  scopus
78. Denis V. Osipov, “Second Chern numbers of vector bundles and higher adeles”, Bull. Korean Math. Soc., 54:5 (2017), 1699–1718 , arXiv: 1706.07354  mathnet  crossref  mathscinet  isi (cited: 2)  scopus (cited: 2)
79. Vik. S. Kulikov, E. I. Shustin, “On $G$-Rigid Surfaces”, Proc. Steklov Inst. Math., 298 (2017), 133–151  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  scopus (cited: 3)
80. Vik. S. Kulikov, “The Hesse curve of a Lefschetz pencil of plane curves”, Russian Math. Surveys, 72:3 (2017), 574–576  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 2)  elib  scopus (cited: 2)
81. Vladimir L. Popov, “Do we create mathematics or do we gradually discover theories which exist somewhere independently of us?”, Eur. Math. Soc. Newsl., 103 (2017), 37  mathnet
82. V. L. Popov, “Borel subgroups of Cremona groups”, Mathematical Notes, 102:1 (2017), 60-67  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 4)  elib  elib  scopus (cited: 3)
83. Vladimir L. Popov, Algebraic groups whose orbit closures contain only finitely many orbits, 2017 , 12 pp., arXiv: 1707.06914v1
84. Vladimir L. Popov, “Bass' triangulability problem”, Algebraic varieties and automorphism groups, Adv. Stud. Pure Math., 75, Math. Soc. Japan, Kinokuniya, Tokyo, 2017, 425–441 bookstore.ams.org/aspm-75/, arXiv: 1504.03867  mathnet  mathscinet  isi
85. Vladimir L. Popov, “Discrete groups generated by complex reflections”, VI-th conference on algebraic geometry and complex analysis for young mathematicians of Russia (Northern (Arctic) Federal University named after M. V. Lomonosov, Koryazhma, Arkhangelsk region, Russia, August 2530, 2017), Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, 2017, 13–14 www.mathnet.ru/php/conference.phtml?confid=1006&option_lang=eng
86. Gene Freudenburg, Algebraic Theory of Locally Nilpotent Derivations, Subseries: Invariant Theory and Algebraic Transformation Groups, Encyclopaedia of Mathematical Sciences, 136, no. VII, 2nd ed., eds. Revaz V. Gamkrelidze, Vladimir L. Popov, Springer, Berlin, 2017 , 316+i-xxii pp. https://link.springer.com/content/pdf/bfm  crossref  zmath
87. V. L. Popov, “On modality of representations”, Dokl. Math., 96:1 (2017), 312–314  mathnet  crossref  mathscinet  isi  elib  elib  scopus (cited: 1)
88. L. A. Bokut', E. I. Zelmanov, P. Zusmanovich, V. G. Kac, L. G. Makar-Limanov, Yu. I. Manin, S. P. Novikov, A. N. Parshin, V. P. Platonov, I. A. Taimanov, U. U. Umirbaev, I. P. Shestakov, “Askar Serkulovich Dzhumadil'daev (on his 60th birthday)”, Russian Math. Surveys, 72:4 (2017), 777–781  mathnet  crossref  crossref  mathscinet  mathscinet  adsnasa  isi  elib
89. Sergey Gorchinskiy, “Integral Chow motives of threefolds with $K$-motives of unit type”, Bull. Korean Math. Soc., 54:5 (2017), 1827–1849 , arXiv: 1703.06977  mathnet  crossref  mathscinet  isi (cited: 3)  scopus (cited: 3)
90. S. Yu. Rybakov, A. S. Trepalin, “Minimal cubic surfaces over finite fields”, Sb. Math., 208:9 (2017), 1399–1419  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi (cited: 5)  elib  scopus (cited: 4)
91. Andrey Trepalin, “Minimal del Pezzo surfaces of degree $2$ over finite fields”, Bull. Korean Math. Soc., 54:5 (2017), 1779–1801 , arXiv: https://arxiv.org/abs/1611.02832  mathscinet  zmath  adsnasa

   2016
92. 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  zmath  adsnasa  isi (cited: 4)  elib  elib  scopus (cited: 3)
93. Valery Gritsenko, Viacheslav V. Nikulin, Lorentzian Kac–Moody algebras with Weyl groups of 2-reflection, 2016 , 73 pp., arXiv: 1602.08359
94. Viacheslav V. Nikulin, “Kählerian K3 surfaces and Niemeier lattices, II”, Adv. Stud. Pure Math., 69, 2016, 421–471  mathnet  mathscinet  isi (cited: 4)
95. 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  mathscinet  zmath  isi (cited: 8)  elib  scopus (cited: 8)
96. 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  mathscinet  zmath  isi (cited: 3)  elib  elib  scopus (cited: 2)
97. Sergey O. Gorchinskiy, Denis V. Osipov, “Continuous homomorphisms between algebras of iterated Laurent series over a ring”, Proc. Steklov Inst. Math., 294 (2016), 47–66  mathnet  crossref  crossref  mathscinet  isi (cited: 8)  elib  elib  scopus (cited: 4)
98. S. O. Gorchinskiy, D. V. Osipov, “Higher-dimensional Contou-Carrère symbol and continuous automorphisms”, Funct. Anal. Appl., 50:4 (2016), 268–280  mathnet  crossref  crossref  mathscinet  isi (cited: 11)  elib  elib  scopus (cited: 9)
99. Viktor S. Kulikov, Eugenii Shustin, “On rigid plane curves”, Eur. J. Math., 2:1 (2016), 208–226 , arXiv: 1501.03777  mathnet  crossref  mathscinet  zmath  isi (cited: 3)  elib  scopus (cited: 4)
100. Vik. S. Kulikov, “Plane rational quartics and K3 surfaces”, Proc. Steklov Inst. Math., 294 (2016), 95–128  mathnet  crossref  crossref  mathscinet  isi (cited: 4)  elib  elib  scopus (cited: 1)
101. Vik. S. Kulikov, “K3 poverkhnosti s deistviyami gruppy $S_4$ i ratsionalnye kvartiki”, Mezhdunarodnaya konferentsiya po algebraicheskoi geometrii, kompleksnomu analizu i kompyuternoi algebre (Filial S(A)FU im. M. V. Lomonosova, g. Koryazhma Arkhangelskoi oblasti, Rossiya, 3–9 avgusta 2016 g.), Matematicheskii institut im. V.A. Steklova Rossiiskoi akademii nauk, Moskva, 2016, 40–42 http://www.mathnet.ru/ConfLogos/805/thesis.pdf
102. Vik.S. Kulikov, “A remark on classical Pluecker's formulae”, Ann. Fac. Sci. Toulouse. Math., 25:5 (2016), 959–967 , arXiv: 1101.5042  mathnet  crossref  mathscinet
103. Vladimir L. Popov, “Birational splitting and algebraic group actions”, Eur. J. Math., 2:1 (2016), 283–290 https://www.math.uni-bielefeld.de/LAG/man/552.pdf, arXiv: 1502.02167  mathnet  crossref  mathscinet  zmath  isi (cited: 7)  elib  scopus (cited: 6)
104. V. L. Popov, G. V. Sukhotskii, Analiticheskaya geometriya. Uchebnik i praktikum, Bakalavr. Akademicheskii kurs, 2-e izd., per. i dop., Yurait, Moskva, 2016 , 232 pp. http://urait.ru/catalog/388730
105. V. L. Popov, “Algebras of General Type: Rational Parametrization and Normal Forms”, Proc. Steklov Inst. Math., 292:1 (2016), 202–215  mathnet  crossref  crossref  mathscinet  isi (cited: 1)  elib  elib  scopus (cited: 1)
106. V. L. Popov, “Subgroups of the Cremona groups: Bass' problem”, Dokl. Math., 93:3 (2016), 307–309  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus
107. V. L. Popov, “Rationality of (co)adjoint orbits”, International conference on algebraic geometry, complex analysis and computer algebra (Northern (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 http://www.mathnet.ru/ConfLogos/805/thesis.pdf
108. L. A. Bokut', E. S. Golod, R. I. Grigorchuk, V. N. Zhelyabin, V. G. Kats, A. R. Kemer, V. V. Kirichenko, P. S. Kolesnikov, S. S. Kutateladze, V. N. Latyshev, Yu. N. Maltsev, 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. Romanovskii, I. A. Taimanov, O. G. Kharlampovich, V. K. Kharchenko, L. N. Shevrin, I. P. Shestakov, A. V. Yakovlev, “Efim Isaakovich Zelmanov is 60 years old”, Russian Math. Surveys, 71:4 (2016), 793–800  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
109. 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: 3)  elib  elib  scopus (cited: 1)
110. S. Gorchinskiy, V. Guletskiǐ, “Symmetric powers in abstract homotopy categories”, Adv. Math., 292 (2016), 707–754  mathnet  crossref  mathscinet  zmath  isi (cited: 6)  elib  scopus (cited: 5)
111. Andrey Trepalin, “Quotients of conic bundles”, Transformation Groups, 21:1 (2016), 275–295 , arXiv: https://arxiv.org/abs/1312.6867  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 3)
112. Andrey Trepalin, “Quotients of cubic surfaces”, European Journal of Mathematics, 2:1 (2016), 333–359 , arXiv: https://arxiv.org/abs/1506.05138  crossref  mathscinet  zmath  adsnasa  isi (cited: 4)  scopus (cited: 4)

   2015
113. V. V. Nikulin, Degenerations of Kahlerian K3 surfaces with finite symplectic automorphism groups, II, 2015 , 55 pp., arXiv: 1504.00326v4
114. 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: 6)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
115. 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/  mathscinet
116. 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: 8)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 3)
117. 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: 13)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 8)
118. 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: 5)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 5)
119. 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 (cited: 7)  elib (cited: 1)  elib (cited: 1)  scopus (cited: 5)
120. 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  elib  scopus (cited: 2)
121. Vik. S. Kulikov, “Dualizing coverings of the plane”, Izv. Math., 79:5 (2015), 1013–1042  mathnet  crossref  crossref  mathscinet  adsnasa  isi (cited: 6)  elib  elib  scopus (cited: 5)
122. 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 (cited: 1)
123. 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
124. I. R. Shafarevich, Collected mathematical papers, Reprint of the 1989 edition, Springer Collect. Works Math., Springer, Heidelberg, 2015 , x+769 pp.  mathscinet  zmath
125. Vladimir L. Popov, “Around the Abhyankar–Sathaye conjecture”, Documenta Mathematica, 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 (ISSN 1431-0643 (INTERNET), 1431-0635 (PRINT))  mathnet  mathscinet  zmath
126. V. L. Popov, “Finite subgroups of diffeomorphism groups”, Proc. Steklov Inst. Math., 289 (2015), 221–226 , arXiv: 1310.6548v2  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 12)  elib  elib  scopus (cited: 9)
127. 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 http://www.mathnet.ru/ConfLogos/604/thesis-Koryazhma.pdf
128. V. L. Popov, “Number of components of the nullcone”, Proc. Steklov Inst. of Math., 290 (2015), 84–90 , arXiv: 1503.08303  mathnet  crossref  crossref  mathscinet  zmath  isi (cited: 2)  elib  elib  scopus (cited: 2)
129. 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  zmath  isi  scopus (cited: 1)
130. 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 , 387 pp.  crossref  mathscinet  zmath  isi
131. Vladimir L. Popov, “Stratification of the nullcone”, Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries Invariant Theory and Algebraic Transformation Groups, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 323–344 www.springer.com/gp/book/9783662484203  mathscinet  isi
132. Norbert A'Campo, Vladimir L. Popov, “The source code of HNC”, Addendum to Appendix C in: H. Derksen, G. Kemper, Computational Invariant Theory, Subseries Invariant Theory and Algebraic Transformation Groups, no. VIII, Encyclopaedia of Mathematical Sciences, 130, 2nd Enlarged Ed. with two Appendices by V. L. Popov, and an Addendum by N. A. Campo and V. L. Popov, Springer, Berlin, 2015, 345–358 www.springer.com/gp/book/9783662484203  mathscinet  isi
133. 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: 2)  elib  scopus (cited: 6)
134. 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 (cited: 1)  elib  elib  scopus
135. 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
136. 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
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