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Mostovoy, Jacob

Co-Author Distance
Author ID: mostovoy.jacob Recent zbMATH articles by "Mostovoy, Jacob"
Published as: Mostovoy, Jacob; Mostovoy, J.; Mostovoi, Ya.
External Links: MGP
Documents Indexed: 41 Publications since 1998, including 1 Book and 5 Additional arXiv Preprints
Co-Authors: 15 Co-Authors with 22 Joint Publications
425 Co-Co-Authors
all top 5

Co-Authors

19 single-authored
7 Pérez-Izquierdo, José María
4 Shestakov, Ivan Pavlovich
3 Sadykov, Rustam
2 Duzhin, Sergeĭ Vasil’evich
2 Stanford, Theodore B.
1 Chmutov, Sergei V.
1 Conant, James
1 Leznov, Andreĭ Nikolaevich
1 Maya, Joaquin
1 Munguía-Villanueva, Eréndira
1 Polyak, Michael
1 Rincón-Prat, Andrea
1 Roque-Márquez, Christopher
1 Stanford, Ted
1 Willerton, Simon
all top 5

Serials

3 Journal of Knot Theory and its Ramifications
2 Communications in Algebra
2 Topology
2 The Quarterly Journal of Mathematics
2 Communications in Mathematics
1 American Mathematical Monthly
1 Israel Journal of Mathematics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Fundamenta Mathematicae
1 Geometriae Dedicata
1 Journal of Algebra
1 Proceedings of the American Mathematical Society
1 Revista Colombiana de Matemáticas
1 Transactions of the American Mathematical Society
1 Topology and its Applications
1 Forum Mathematicum
1 IMRN. International Mathematics Research Notices
1 Journal of Physics A: Mathematical and General
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 Transformation Groups
1 Homology, Homotopy and Applications
1 Moscow Mathematical Journal
1 Bulletin of Mathematical Sciences
1 Arnold Mathematical Journal
all top 5

Fields

11 Group theory and generalizations (20-XX)
11 Manifolds and cell complexes (57-XX)
10 Nonassociative rings and algebras (17-XX)
7 Algebraic topology (55-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Combinatorics (05-XX)
4 Algebraic geometry (14-XX)
2 Associative rings and algebras (16-XX)
2 Topological groups, Lie groups (22-XX)
2 Real functions (26-XX)
2 Differential geometry (53-XX)
2 General topology (54-XX)
1 Number theory (11-XX)
1 Category theory; homological algebra (18-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Mechanics of particles and systems (70-XX)
1 Quantum theory (81-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

29 Publications have been cited 266 times in 205 Documents Cited by ▼ Year ▼
Introduction to Vassiliev knot invariants. Zbl 1245.57003
Chmutov, S.; Duzhin, S.; Mostovoy, J.
113
2012
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
15
2014
Formal multiplications, bialgebras of distributions and nonassociative Lie theory. Zbl 1227.17010
Mostovoy, J.; Pérez-Izquierdo, J. M.
14
2010
Planar pure braids on six strands. Zbl 1512.20120
Mostovoy, Jacob; Roque-Márquez, Christopher
10
2020
Spaces of rational maps and the Stone-Weierstrass theorem. Zbl 1086.58005
Mostovoy, Jacob
10
2006
Nilpotency and dimension series for loops. Zbl 1151.20052
Mostovoy, Jacob
10
2008
Lattices in \(\mathbb C\) and finite subsets of a circle. Zbl 1138.54307
Mostovoy, Jacob
10
2004
A comment on the integration of Leibniz algebras. Zbl 1376.17005
Mostovoy, J.
8
2013
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
7
2017
Truncated simplicial resolutions and spaces of rational maps. Zbl 1237.58012
Mostovoy, Jacob
7
2012
The notion of lower central series for loops. Zbl 1288.20097
Mostovoy, Jacob
7
2006
Spaces of morphisms from a projective space to a toric variety. Zbl 1350.14037
Mostovoy, Jacob; Munguía-Villanueva, Eréndira
7
2014
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
6
2014
Dimension filtration on loops. Zbl 1146.20052
Mostovoy, J.; Pérez-Izquierdo, J. M.
6
2007
On a map from pure braids to knots. Zbl 1053.57006
Mostovoy, Jacob; Stanford, Theodore
5
2003
Spaces of rational loops on a real projective space. Zbl 0979.55008
Mostovoy, Jacob
4
2001
Free groups and finite-type invariants of pure braids. Zbl 1002.57028
Mostovoy, Jacob; Willerton, Simon
4
2002
Ideals in non-associative universal enveloping algebras of Lie triple systems. Zbl 1208.17006
Mostovoy, Jacob; Pérez-Izquierdo, José M.
4
2010
Short ropes and long knots. Zbl 1031.57011
Mostovoy, Jacob
3
2002
The pure cactus group is residually nilpotent. Zbl 1512.20122
Mostovoy, Jacob
2
2019
Partial monoids and Dold-Thom functors. Zbl 1334.55002
Mostovoy, Jacob
2
2014
Racks as multiplicative graphs. Zbl 1391.05278
Mostovoy, Jacob
2
2018
Differential graded Lie algebras and Leibniz algebra cohomology. Zbl 1510.17028
Mostovoy, Jacob
2
2022
A toy theory of Vassiliev invariants. Zbl 1137.57012
Duzhin, S.; Mostovoy, J.
2
2006
On torsion-free nilpotent loops. Zbl 1454.20121
Mostovoy, Jacob; Pérez-Izquierdo, José M.; Shestakov, Ivan P.
2
2019
Geometry of truncated symmetric products and real roots of real polynomials. Zbl 0928.54008
Mostovoy, Jacob
1
1998
Classical dynamics in deformed spaces. Zbl 1042.70009
Leznov, A.; Mostovoy, J.
1
2003
Algebraic cycles and antiholomorphic involutions on projective spaces. Zbl 1072.14507
Mostovoy, Jacob
1
2000
Finite-type knot invariants based on the band-pass and doubled-delta moves. Zbl 1193.57005
Conant, James; Mostovoy, Jacob; Stanford, Ted
1
2010
Differential graded Lie algebras and Leibniz algebra cohomology. Zbl 1510.17028
Mostovoy, Jacob
2
2022
Planar pure braids on six strands. Zbl 1512.20120
Mostovoy, Jacob; Roque-Márquez, Christopher
10
2020
The pure cactus group is residually nilpotent. Zbl 1512.20122
Mostovoy, Jacob
2
2019
On torsion-free nilpotent loops. Zbl 1454.20121
Mostovoy, Jacob; Pérez-Izquierdo, José M.; Shestakov, Ivan P.
2
2019
Racks as multiplicative graphs. Zbl 1391.05278
Mostovoy, Jacob
2
2018
A non-associative Baker-Campbell-Hausdorff formula. Zbl 1428.17002
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
7
2017
Hopf algebras in non-associative Lie theory. Zbl 1393.17001
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
15
2014
Spaces of morphisms from a projective space to a toric variety. Zbl 1350.14037
Mostovoy, Jacob; Munguía-Villanueva, Eréndira
7
2014
Nilpotent Sabinin algebras. Zbl 1362.17007
Mostovoy, J.; Pérez-Izquierdo, J. M.; Shestakov, I. P.
6
2014
Partial monoids and Dold-Thom functors. Zbl 1334.55002
Mostovoy, Jacob
2
2014
A comment on the integration of Leibniz algebras. Zbl 1376.17005
Mostovoy, J.
8
2013
Introduction to Vassiliev knot invariants. Zbl 1245.57003
Chmutov, S.; Duzhin, S.; Mostovoy, J.
113
2012
Truncated simplicial resolutions and spaces of rational maps. Zbl 1237.58012
Mostovoy, Jacob
7
2012
Formal multiplications, bialgebras of distributions and nonassociative Lie theory. Zbl 1227.17010
Mostovoy, J.; Pérez-Izquierdo, J. M.
14
2010
Ideals in non-associative universal enveloping algebras of Lie triple systems. Zbl 1208.17006
Mostovoy, Jacob; Pérez-Izquierdo, José M.
4
2010
Finite-type knot invariants based on the band-pass and doubled-delta moves. Zbl 1193.57005
Conant, James; Mostovoy, Jacob; Stanford, Ted
1
2010
Nilpotency and dimension series for loops. Zbl 1151.20052
Mostovoy, Jacob
10
2008
Dimension filtration on loops. Zbl 1146.20052
Mostovoy, J.; Pérez-Izquierdo, J. M.
6
2007
Spaces of rational maps and the Stone-Weierstrass theorem. Zbl 1086.58005
Mostovoy, Jacob
10
2006
The notion of lower central series for loops. Zbl 1288.20097
Mostovoy, Jacob
7
2006
A toy theory of Vassiliev invariants. Zbl 1137.57012
Duzhin, S.; Mostovoy, J.
2
2006
Lattices in \(\mathbb C\) and finite subsets of a circle. Zbl 1138.54307
Mostovoy, Jacob
10
2004
On a map from pure braids to knots. Zbl 1053.57006
Mostovoy, Jacob; Stanford, Theodore
5
2003
Classical dynamics in deformed spaces. Zbl 1042.70009
Leznov, A.; Mostovoy, J.
1
2003
Free groups and finite-type invariants of pure braids. Zbl 1002.57028
Mostovoy, Jacob; Willerton, Simon
4
2002
Short ropes and long knots. Zbl 1031.57011
Mostovoy, Jacob
3
2002
Spaces of rational loops on a real projective space. Zbl 0979.55008
Mostovoy, Jacob
4
2001
Algebraic cycles and antiholomorphic involutions on projective spaces. Zbl 1072.14507
Mostovoy, Jacob
1
2000
Geometry of truncated symmetric products and real roots of real polynomials. Zbl 0928.54008
Mostovoy, Jacob
1
1998
all cited Publications top 5 cited Publications
all top 5

Cited by 237 Authors

11 Pérez-Izquierdo, José María
10 Mostovoy, Jacob
9 Shestakov, Ivan Pavlovich
9 Yamaguchi, Kohhei
8 Kozlowski, Andrzej
8 Singh, Mahender
7 Mironov, Andrei D.
7 Naik, Tushar Kanta
6 Kauffman, Louis Hirsch
6 Nanda, Neha
5 Chmutov, Sergei V.
5 Morozov, Alexei Yurievich
4 Duzhin, Sergeĭ Vasil’evich
4 Il’yutko, Denis Petrovich
4 Karev, Maksim V.
4 Lando, Sergei K.
4 Mishnyakov, Victor
4 Schrijver, Alexander
3 Alonso Álvarez, José Nicanor
3 Even-Zohar, Chaim
3 Kaygorodov, Ivan
3 Regts, Guus
3 Salazar-Díaz, Olga Patricia
3 Sevenster, Bart
3 Sleptsov, Alexey
3 Sosinskiĭ, Alekseĭ Bronislavovich
3 Turchin, Victor Éduardovich
3 Velásquez, Raúl
3 Yang, Zhuoke
3 Zinova, Polina Aleksandrovna
2 Acan, Hüseyin
2 Bar-Natan, Dror
2 Conant, James
2 Ducoulombier, Julien
2 Fernández Vilaboa, José Manuel
2 Gómez-Gonzáles, Claudio
2 González Rodríguez, Ramón
2 Grishkov, Alexander Nikolaevich
2 Kharchenko, Vladislav K.
2 Khovanskiĭ, Askold Georgievich
2 Kohno, Toshitake
2 Komendarczyk, Rafal
2 Kozlov, Roman A.
2 Krasil’shchik, Joseph
2 Kumar, Pravin
2 Manturov, Vassiliĭ Olegovich
2 Markarian, Nikita
2 Mkrtchyan, Ruben L.
2 Mnëv, Nikolai Evgen’evich
2 Moltmaker, Wout
2 Morozov, Al’bert Dmitrievich
2 Panina, Gaiane Yu.
2 Polyak, Michael
2 Rodríguez-Nieto, José Gregorio
2 Scherbak, Inna
2 Smirnov, Andrey V.
2 Tselousov, N. S.
2 Tuffley, Christopher P.
2 Varchenko, Alexander Nikolaevich
2 Vasil’ev, Viktor Anatol’evich
2 Vershik, Anatoliĭ Moiseevich
2 Volkov, Yuriĭ S.
1 Abdurasulov, Kobiljon K.
1 Akofor, Earnest
1 Alexandre, Charles
1 Asaulko, K. S.
1 Bahturin, Yuri
1 Bandklayder, Lauren
1 Bellingeri, Paolo
1 Berger, Clemens
1 Bigeni, Ange
1 Biswas, Indranil
1 Bordemann, Martin
1 Borovikova, Marina
1 Bourn, Dominique
1 Brandenbursky, Michael
1 Brochier, Adrien
1 Brooks, Robyn
1 Castañeda Alvarado, Enrique
1 Chang, Hsien-Chih
1 Chemin, Hugo
1 Chew, Lock Yue
1 Chrisman, Micah Whitney
1 Cisneros De La Cruz, Bruno Aarón
1 Collari, Carlo
1 Corfield, David
1 Dogra, Rakesh
1 dos Santos, Pedro F.
1 Dunin-Barkovskiĭ, Petr Igorevich
1 Dupays, Léonce
1 Dyckerhoff, Tobias
1 Erickson, Jeff
1 Fiedler, Thomas
1 Figula, Ágota
1 Flores, Marcelo
1 Frabetti, Alessandra
1 Frolova, Anastasia
1 Furusho, Hidekazu
1 Galuppi, Francesco
1 Gammelgaard, Niels Leth
...and 137 more Authors
all top 5

Cited in 90 Serials

23 Journal of Knot Theory and its Ramifications
11 Topology and its Applications
7 Journal of Algebra
7 Journal of High Energy Physics
6 Communications in Algebra
6 Algebraic & Geometric Topology
5 European Journal of Combinatorics
4 Journal of Combinatorial Theory. Series B
4 Forum Mathematicum
4 Communications in Mathematics
3 Communications in Mathematical Physics
3 Discrete Mathematics
3 Nuclear Physics. B
3 Physics Letters. B
3 Advances in Mathematics
3 Functional Analysis and its Applications
3 Linear Algebra and its Applications
3 Journal of Algebraic Combinatorics
3 Journal of Mathematical Sciences (New York)
3 Sbornik: Mathematics
3 Arnold Mathematical Journal
2 International Journal of Modern Physics A
2 Israel Journal of Mathematics
2 Letters in Mathematical Physics
2 Linear and Multilinear Algebra
2 Journal of Functional Analysis
2 Journal of the Mathematical Society of Japan
2 Journal of Pure and Applied Algebra
2 Monatshefte für Mathematik
2 Publications of the Research Institute for Mathematical Sciences, Kyoto University
2 Transactions of the American Mathematical Society
2 Discrete & Computational Geometry
2 International Journal of Mathematics
2 Bulletin of the American Mathematical Society. New Series
2 The New York Journal of Mathematics
2 Journal of Group Theory
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Homotopy and Related Structures
2 São Paulo Journal of Mathematical Sciences
2 Research in the Mathematical Sciences
2 European Journal of Mathematics
1 American Mathematical Monthly
1 Bulletin of the Australian Mathematical Society
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Fluid Mechanics
1 Mathematical Notes
1 Moscow University Mathematics Bulletin
1 Chaos, Solitons and Fractals
1 Journal of Geometry and Physics
1 Algebra and Logic
1 Canadian Mathematical Bulletin
1 Geometriae Dedicata
1 Journal of Combinatorial Theory. Series A
1 Manuscripta Mathematica
1 Proceedings of the American Mathematical Society
1 Proceedings of the London Mathematical Society. Third Series
1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste
1 Results in Mathematics
1 Semigroup Forum
1 Random Structures & Algorithms
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 St. Petersburg Mathematical Journal
1 Advances in Applied Clifford Algebras
1 The Electronic Journal of Combinatorics
1 Journal of Lie Theory
1 Electronic Journal of Probability
1 Izvestiya: Mathematics
1 Algebras and Representation Theory
1 Lobachevskii Journal of Mathematics
1 Annales Henri Poincaré
1 Qualitative Theory of Dynamical Systems
1 The Quarterly Journal of Mathematics
1 Moscow Mathematical Journal
1 Computational Methods and Function Theory
1 Algebra and Discrete Mathematics
1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V
1 Journal of Topology
1 Journal of Geometric Mechanics
1 Quantum Topology
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM
1 Bulletin of Mathematical Sciences
1 Forum of Mathematics, Sigma
1 Algebra
1 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions
1 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal
1 Winter Braids Lecture Notes
1 Journal of Applied and Computational Topology
1 Graduate Journal of Mathematics
all top 5

Cited in 37 Fields

102 Manifolds and cell complexes (57-XX)
48 Group theory and generalizations (20-XX)
45 Nonassociative rings and algebras (17-XX)
31 Combinatorics (05-XX)
28 Algebraic topology (55-XX)
21 Associative rings and algebras (16-XX)
21 Quantum theory (81-XX)
18 Algebraic geometry (14-XX)
15 Category theory; homological algebra (18-XX)
9 Differential geometry (53-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Several complex variables and analytic spaces (32-XX)
6 Topological groups, Lie groups (22-XX)
6 General topology (54-XX)
5 Dynamical systems and ergodic theory (37-XX)
4 History and biography (01-XX)
4 Number theory (11-XX)
3 Probability theory and stochastic processes (60-XX)
2 General and overarching topics; collections (00-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 \(K\)-theory (19-XX)
2 Functions of a complex variable (30-XX)
2 Mechanics of particles and systems (70-XX)
2 Fluid mechanics (76-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Measure and integration (28-XX)
1 Ordinary differential equations (34-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Convex and discrete geometry (52-XX)
1 Computer science (68-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year