Viacheslav V. Nikulin

Viacheslav V. Nikulin's AcademicInfluence.com Rankings

Mathematics

#4921

World Rank

#6952

Historical Rank

Algebraic Geometry

#133

World Rank

#140

Historical Rank

Group Theory

#171

World Rank

#203

Historical Rank

Geometry

#155

World Rank

#227

Historical Rank

mathematics Degrees

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Mathematics

Why Is Viacheslav V. Nikulin Influential?

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According to Wikipedia, Viacheslav Valentinovich Nikulin is a Russian mathematician working in the algebraic geometry of K3 surfaces and Calabi–Yau threefoldss, mirror symmetry, the arithmetic of quadratic forms, and hyperbolic Kac–Moody algebras. He is a professor of mathematics at the University of Liverpool. A third chair of mathematics was established for Nikulin in 1999, the second chair having been established in 1964 for C. T. C. Wall and the first having been established in 1882. Nikulin has made contributions towards the solution of Hilbert's 16th problem.

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Viacheslav V. Nikulin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Integral Symmetric Bilinear Forms and Some of Their Applications (1980) (755)
ON KUMMER SURFACES (1975) (192)
Siegel automorphic form corrections of some Lorentzian Kac-Moody Lie algebras (1995) (170)
Factor groups of groups of automorphisms of hyperbolic forms with respect to subgroups generated by 2-reflections. Algebrogeometric applications (1983) (165)
Automorphic Forms and Lorentzian Kac--Moody Algebras. Part I (1996) (114)
Discrete Reflection Groups in Lobachevsky Spaces and Algebraic Surfaces (2010) (88)
ON THE CLASSIFICATION OF ARITHMETIC GROUPS GENERATED BY REFLECTIONS IN LOBACHEVSKY SPACES (1982) (84)
del Pezzo and K3 Surfaces (2006) (82)
Igusa modular forms and 'the simplest' Lorentzian Kac-Moody algebras (1996) (76)
ON ARITHMETIC GROUPS GENERATED BY REFLECTIONS IN LOBACHEVSKY SPACES (1981) (56)
K3 surfaces, Lorentzian Kac--Moody algebras and Mirror Symmetry (1995) (55)
DEL PEZZO SURFACES WITH LOG-TERMINAL SINGULARITIES. I (1990) (51)
INVOLUTIONS OF INTEGRAL QUADRATIC FORMS AND THEIR APPLICATIONS TO REAL ALGEBRAIC GEOMETRY (1984) (49)
Automorphic Forms and Lorentzian Kac-Moody Algebras. Part II (1996) (48)
On classification of Lorentzian Kac-Moody algebras (2002) (47)
Geometries and Groups (1989) (45)
On the Brauer Group of Real Algebraic Surfaces (1993) (41)
Weil Linear Systems on Singular K3 Surfaces (1991) (40)
Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces (2006) (33)
On a classical correspondence between K3 surfaces (2002) (30)
On the classification of hyperbolic root systems of rank three (2000) (27)
A lecture on Kac--Moody Lie algebras of the arithmetic type (1994) (25)
Lorentzian Kac–Moody algebras with Weyl groups of 2‐reflections (2016) (23)
K3 surfaces with interesting groups of automorphisms (1997) (23)
Elliptic Fibrations on K3 Surfaces (2010) (22)
The Remark on Discriminants of K3 Surfaces Moduli as Sets of Zeros of Automorphic Forms (1995) (22)
ON RATIONAL MAPS BETWEEN K3 SURFACES (1991) (21)
DEL PEZZO SURFACES WITH LOG-TERMINAL SINGULARITIES. II (1989) (20)
AN ANALOGUE OF THE TORELLI THEOREM FOR KUMMER SURFACES OF JACOBIANS (1974) (20)
On Brauer groups of real Enriques surfaces. (1993) (19)
Reflection groups in Lobachevskii spaces and the denominator identity for Lorentzian Kac-Moody algebras (1995) (19)
On Correspondences of a K3 Surface with itself, II (2003) (18)
Classification of log del Pezzo surfaces of index $\le 2$ (2004) (18)
On a classical correspondence between K3 surfaces II (2003) (18)
A remark on algebraic surfaces with polyhedral Mori cone (1998) (18)
Модулярные формы Игузы и “самые простые” лоренцевы алгебры Каца - Муди@@@Igusa modular forms and 'the simplest' Lorentzian Kac - Moody algebras (1996) (16)
ON CORRESPONDENCES BETWEEN K3 SURFACES (1988) (16)
BASIS OF THE DIAGRAM METHOD FOR GENERALIZED REFLECTION GROUPS IN LOBACHEVSKY SPACES AND ALGEBRAIC SURFACES WITH NEF ANTICANONICAL CLASS (1996) (15)
New composite sorbents of water and methanol “salt in anodic alumina”: Evaluation for adsorption heat transformation (2016) (15)
On the Topological Classification of Real Enriques Surfaces. I (1993) (15)
Real K3 Surfaces with Non‐Symplectic Involution and Applications (2005) (15)
Tetrazoles: XLVIII. 3H-Naphtho[2,1-e]-and 3H-Naphtho[1,2-e][1,2,4]triazepines from 5-Aryltetrazoles. Physical and Chemical Properties (2005) (13)
Nikulin Integral symmetric bilinear forms and some of their applications (2018) (11)
A Theory of Lorentzian Kac--Moody Algebras (1998) (11)
The Diagram Method for 3-folds and its application to the Kähler cone and Picard number of Calabi-Yau 3-folds. I (1996) (11)
Tetrazoles: XLVI. 3H-1,3,4-Benzo- and Pyrido[6,7-b][1,3,4]triazepines from 5-Aryltetrazoles. Synthesis and Chemical Properties (2003) (10)
Real K3 surfaces with non‐symplectic involution and applications. II (2003) (9)
Группы отражений в пространствах Лобачевского и тождество для знаменателя лоренцевых алгебр Каца - Муди@@@Reflection groups in Lobachevskii spaces and the denominator identity for Lorentzian Kac - Moody algebras (1996) (9)
On the classification of hyperbolic root systems of the rank three. Part III (1997) (8)
On ground fields of arithmetic hyperbolic reflection groups. III (2007) (8)
On the connected components of moduli of real polarized $ \mathrm K3$-surfaces (2008) (8)
Explicit correspondences of a K3 surface with itself (2008) (7)
Remarks on connected components of moduli of real polarized K3 surfaces (2005) (7)
О компонентах связности модулей вещественных поляризованных K3-поверхностей@@@On the connected components of moduli of real polarized K3-surfaces (2008) (7)
Enthalpy of formation of platinum hexafluoride (1986) (7)
Кэлеровы К3-поверхности и решетки Нимейера. I@@@Kählerian K3 surfaces and Niemeier lattices. I (2013) (6)
О классификации лоренцевых алгебр Каца - Муди@@@On classification of Lorentzian Kac - Moody algebras (2002) (6)
Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. III (2014) (6)
3H-Pyrido[6,7-b]-1,3,4-triazepines from 5-Aryltetrazoles (2003) (5)
Self-Correspondences of K3 Surfaces via Moduli of Sheaves (2008) (5)
Kählerian K3 surfaces and Niemeier lattices, II (2016) (5)
On the Picard number of Fano 3-folds with terminal singularities (1993) (5)
Automorphic correction of a Lorentzian Kac-Moody algebra (1995) (4)
Diagram Method for 3-Folds and its Application to Kahler Cone and Picard Number of Calabi-Yau 3-Folds, I. with Appendix by Vyacheslav V. Shokurov: (1994) (4)
Algebraic Surfaces with Log-Terminal Singularities and nef Anticanonical Class and Reflection Groups in Lobachevsky Spaces. I (Basics of the Diagram Method) (1994) (4)
3H-naphtho[2,3-e]-1,2,4-triazepines (2004) (4)
SYNTHESIS OF COBALT TRIFLUORIDE WITH THE USE OF XENON DIFLUORIDE, ENTHALPY OF SUBLIMATION AND VAPOR-PRESSURE OF COF3 (1984) (3)
Some Examples of K3 Surfaces with Infinite Automorphism Group which Preserves an Elliptic Pencil (2020) (3)
On algebraic varieties with finite polyhedral Mori cone (2003) (3)
A Lecture about classification of Lorentzian Kac-Moody algebras of the rank three (2000) (2)
Self-correspondences of K3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups (2008) (2)
Contactless asynchronized synchronous motor (1999) (2)
Chapter 2. General Theory of DPN surfaces and K3 surfaces with non-symplectic involution (2006) (2)
ALGEBRAIC 3-FOLDS AND THE DIAGRAM METHOD (1991) (2)
Ju n 20 05 ON CORRESPONDENCES OF A K 3 SURFACE WITH ITSELF (2005) (2)
Геометрии и группы (1983) (2)
Классификация вырождений и решеток Пикара кэлеровых K3-поверхностей с симплектической группой автоморфизмов $C_4$ (2019) (1)
Local invariants of four-dimensional pseudo-Riemannian manifolds with Lorentz metric (1987) (1)
Examples of lattice-polarized K3 surfaces with automorphic discriminant, and Lorentzian Kac--Moody algebras (2017) (1)
Correspondences of a K3 surface with itself via moduli of sheaves. I (2006) (1)
FILTRATIONS OF 2-ELEMENTARY FORMS AND INVOLUTIONS OF INTEGRAL SYMMETRIC AND SKEW-SYMMETRIC BILINEAR FORMS (1986) (1)
List of Notations (2021) (1)
Явные соответствия K3-поверхности с собой@@@Explicit correspondences of a K3 surface with itself (2008) (1)
Классификация решеток Пикара К3-поверхностей (2018) (1)
Классификация вырождений и решеток Пикара кэлеровых К3-поверхностей с симплектической группой автоморфизмов $D_6$ (2019) (1)
О классификации гиперболических систем корней ранга три (2000) (1)
Chapter 1. Log del Pezzo surfaces of index $\leq 2$ and Smooth Divisor Theorem (2006) (0)
Forming geometrical intuition; statement of the main problem (1994) (0)
Vyacheslav Vladimirovich Shokurov (2021) (0)
0 Ju n 20 06 On correspondences of a K 3 surface with itself . III (2008) (0)
The talk "Kahlerian K3 surfaces and Niemeier lattices" at 3 October 2012 (2012) (0)
ON AUTOMORPHISMS OF NODAL ENRIQUES SURFACES BY F. COSSEC AND I. DOLGACHEV (2007) (0)
Se p 19 94 DIAGRAM METHOD FOR 3-FOLDS AND ITS APPLICATION TO KÄHLER CONE AND PICARD NUMBER OF CALABI-YAU 3-FOLDS (2008) (0)
Fe b 19 97 THE ARITHMETIC MIRROR SYMMETRY AND CALABI – YAU MANIFOLDS (1997) (0)
Talk "Kahlerian K3 surfaces and Niemeier lattices", 27 September 2013 (2013) (0)
ay 2 00 6 On a classical correspondence between K 3 surfaces III (0)
eb 2 00 5 ON CORRESPONDENCES OF A K 3 SURFACE WITH ITSELF , II (2005) (0)
Enthalpy of Formation of Platinum Hexafluoride. (1986) (0)
1 2 Ju n 20 06 On correspondences of a K 3 surface with itself . IV (2008) (0)
The theory of 2-dimensional locally Euclidean geometries (1994) (0)
3H-Pyrido[6,7-b]-1,3,4-triazepines from 5-Aryltetrazoles. (2004) (0)
Chapter 4. Classification of log del Pezzo surfaces of index $\leq 2$ and applications (2006) (0)
On classification of arithmetic hyperbolic reflection groups. Talk on conference "Arithmetic groups vs Mapping Class Groups. Analogies and Differences" at 5 June (2011) (0)
A G ] 1 O ct 1 99 8 A THEORY OF LORENTZIAN KAC – MOODY ALGEBRAS (1998) (0)
Geometries on the torus, complex numbers and Lobachevsky geometry (1994) (0)
Chapter 3. DPN surfaces of elliptic type (2006) (0)
Classification of degenerations and Picard lattices of Kählerian K3 surfaces with symplectic automorphism group (2018) (0)
Андрей Николаевич Тюрин (некролог)@@@Andrei Nikolaevich Tyurin (obituary) (2003) (0)
Виктор Степанович Куликов (к семидесятилетию со дня рождения) (2022) (0)
Василий Алексеевич Исковских (некролог)@@@Vasilii Alekseevich Iskovskikh (obituary) (2009) (0)
A G ] 2 N ov 2 00 8 Self-correspondences of K 3 surfaces via moduli of sheaves and arithmetic hyperbolic reflection groups (2008) (0)
3H‐Naphtho[2,3‐e]‐1,2,4‐triazepines. (2005) (0)
Tetrazoles. Part 48. 3H-Naphtho[2,1-e]- and 3H-Naphtho[1,2-e][1,2,4]triazepines from 5-Aryltetrazoles. Physical and Chemical Properties. (2005) (0)
Вячеслав Владимирович Шокуров (к 60-летию со дня рождения)@@@Vyacheslav Vladimirovich Shokurov (on his 60th birthday) (2010) (0)
Василий Алексеевич Исковских (к шестидесятилетию со дня рождения)@@@Vasilii Alekseevich Iskovskikh (on his 60th birthday) (1999) (0)
Generalisations and applications (1994) (0)
Вячеслав Владимирович Шокуров (к семидесятилетию со дня рождения) (2021) (0)
Enthalpies of formation of the gaseous platinum fluorides, PtF2 and PtF4. A quasi-equilibrium model of the Pt-F2 system (1983) (0)
Dmitrii Andreevich Gudkov (on his seventieth birthday) (1989) (0)
Viktor Stepanovich Kulikov (on the occasion of his sixtieth birthday) (2013) (0)
Tetrazoles. Part 46. 3H‐1,3,4‐Benzo‐ and Pyrido[6,7‐b][1,3,4]triazepines from 5‐Aryltetrazoles. Synthesis and Chemical Properties. (2004) (0)
A G ] 1 0 Ju n 20 06 CLASSIFICATION OF LOG DEL PEZZO SURFACES OF INDEX (2004) (0)
Finiteness and classification of arithmetic hyperbolic reflection groups (2008) (0)
Algebraic geometry seminar lecture "Self-correspondences of K3 surfaces via moduli of sheaves" at Deparamento de Mathematicas (2012) (0)

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Viacheslav V. Nikulin's AcademicInfluence.com Rankings