Edit Profile (opens in new tab) Nikolov, Nikolay M. Compute Distance To: Compute Author ID: nikolov.nikolay-m Published as: Nikolov, Nikolay M.; Nikolov, N. M. External Links: ResearchGate Documents Indexed: 31 Publications since 2001 Co-Authors: 7 Co-Authors with 20 Joint Publications 174 Co-Co-Authors all top 5 Co-Authors 10 single-authored 16 Todorov, Ivan T. 6 Rehren, Karl-Henning 5 Bakalov, Bojko 4 Stanev, Yassen S. 2 Stora, Raymond 1 Loday, Jean-Louis 1 Zahariev, Svetoslav all top 5 Serials 5 Communications in Mathematical Physics 5 Bulgarian Journal of Physics 3 Nuclear Physics. B 2 Reviews in Mathematical Physics 1 International Journal of Modern Physics A 1 Journal of Mathematical Physics 1 Theoretical and Mathematical Physics 1 International Journal of Algebra and Computation 1 Journal of Physics A: Mathematical and General 1 New Zealand Journal of Mathematics 1 Pure and Applied Mathematics Quarterly 1 Journal of Physics A: Mathematical and Theoretical all top 5 Fields 26 Quantum theory (81-XX) 8 Nonassociative rings and algebras (17-XX) 4 Category theory; homological algebra (18-XX) 2 Group theory and generalizations (20-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 143 times in 51 Documents Cited by ▼ Year ▼ Renormalization of massless Feynman amplitudes in configuration space. Zbl 1303.81126Nikolov, Nikolay M.; Stora, Raymond; Todorov, Ivan 21 2014 Rationality of conformally invariant local correlation functions on compactified Minkowski space. Zbl 0985.81055Nikolov, Nikolay M.; Todorov, Ivan T. 19 2001 Vertex algebras in higher dimensions and globally conformal invariant quantum field theory. Zbl 1125.17010Nikolov, Nikolay M. 13 2005 Four-dimensional conformal field theory models with rational correlation functions. Zbl 1041.81097Nikolov, N. M.; Stanev, Ya. S.; Todorov, I. T. 12 2002 Jacobi identity for vertex algebras in higher dimensions. Zbl 1111.17014Bakalov, Bojko; Nikolov, Nikolay M. 11 2006 Globally conformal invariant gauge field theory with rational correlation functions. Zbl 1058.81054Nikolov, N. M.; Stanev, Ya. S.; Todorov, I. T. 10 2003 Partial wave expansion and Wightman positivity in conformal field theory. Zbl 1128.81320Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan T. 10 2005 Elliptic thermal correlation functions and modular forms in a globally conformal invariant QFT. Zbl 1111.81112Nikolov, Nikolay M.; Todorov, Ivan T. 6 2005 Talk on anomalies in quantum field theory and cohomologies of configuration spaces. Zbl 1202.81196Nikolov, N. M. 5 2009 Infinite-dimensional Lie algebras in 4D conformal quantum field theory. Zbl 1139.81052Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 5 2008 Unitary positive-energy representations of scalar bilocal quantum fields. Zbl 1156.81422Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 4 2007 Harmonic bilocal fields generated by globally conformal invariant scalar fields. Zbl 1144.81028Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 4 2008 Conformal invariance and rationality in an even dimensional quantum field theory. Zbl 1065.81587Nikolov, N. M.; Todorov, I. T. 4 2004 Conformal quantum field theory in two and four dimensions. Zbl 1274.81202Nikolov, N. M.; Todorov, I. T. 3 2002 Cohomologies of configuration spaces and higher-dimensional polylogarithms in renormalization group problems. Zbl 1210.81076Nikolov, Nikolay M. 2 2010 Euclidean configuration space renormalization, residues and dilation anomaly. Zbl 1269.81076Nikolov, Nikolay M.; Stora, Raymond; Todorov, Ivan 2 2013 Operadic construction of the renormalization group. Zbl 1269.81091Loday, Jean-Louis; Nikolov, Nikolay M. 2 2013 Renormalization of massive Feynman amplitudes and homogeneity (based on a joint work with Raymond Stora). Zbl 1349.81008Nikolov, Nikolay M. 2 2016 Operadic bridge between renormalization theory and vertex algebras. Zbl 1317.81208Nikolov, Nikolay M. 2 2014 Constructing models of vertex algebras in higher dimensions. Zbl 1202.17012Bakalov, Bojko; Nikolov, Nikolay M. 1 2008 Pole structure and biharmonic fields in conformal QFT in four dimensions. Zbl 1202.81178Rehren, Karl-Henning; Nikolov, Nikolay M.; Todorov, Ivan 1 2008 Rational conformal correlation functions of gauge invariant local fields in four dimensions. Zbl 1229.81167Nikolov, N. M.; Stanev, Y. S.; Todorov, I. T. 1 2005 Vertex algebras in higher dimensions are homotopy equivalent to vertex algebras in two dimensions. Zbl 1394.55009Nikolov, Nikolay M. 1 2016 Curved \(A_{\infty}\)-algebras and Chern classes. Zbl 1295.57031Nikolov, Nikolay M.; Zahariev, Svetoslav 1 2013 Constructing uncountably many groups with the same profinite completion. Zbl 07469698Nikolov, Nikolay; Segal, Dan 1 2021 Constructing uncountably many groups with the same profinite completion. Zbl 07469698Nikolov, Nikolay; Segal, Dan 1 2021 Renormalization of massive Feynman amplitudes and homogeneity (based on a joint work with Raymond Stora). Zbl 1349.81008Nikolov, Nikolay M. 2 2016 Vertex algebras in higher dimensions are homotopy equivalent to vertex algebras in two dimensions. Zbl 1394.55009Nikolov, Nikolay M. 1 2016 Renormalization of massless Feynman amplitudes in configuration space. Zbl 1303.81126Nikolov, Nikolay M.; Stora, Raymond; Todorov, Ivan 21 2014 Operadic bridge between renormalization theory and vertex algebras. Zbl 1317.81208Nikolov, Nikolay M. 2 2014 Euclidean configuration space renormalization, residues and dilation anomaly. Zbl 1269.81076Nikolov, Nikolay M.; Stora, Raymond; Todorov, Ivan 2 2013 Operadic construction of the renormalization group. Zbl 1269.81091Loday, Jean-Louis; Nikolov, Nikolay M. 2 2013 Curved \(A_{\infty}\)-algebras and Chern classes. Zbl 1295.57031Nikolov, Nikolay M.; Zahariev, Svetoslav 1 2013 Cohomologies of configuration spaces and higher-dimensional polylogarithms in renormalization group problems. Zbl 1210.81076Nikolov, Nikolay M. 2 2010 Talk on anomalies in quantum field theory and cohomologies of configuration spaces. Zbl 1202.81196Nikolov, N. M. 5 2009 Infinite-dimensional Lie algebras in 4D conformal quantum field theory. Zbl 1139.81052Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 5 2008 Harmonic bilocal fields generated by globally conformal invariant scalar fields. Zbl 1144.81028Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 4 2008 Constructing models of vertex algebras in higher dimensions. Zbl 1202.17012Bakalov, Bojko; Nikolov, Nikolay M. 1 2008 Pole structure and biharmonic fields in conformal QFT in four dimensions. Zbl 1202.81178Rehren, Karl-Henning; Nikolov, Nikolay M.; Todorov, Ivan 1 2008 Unitary positive-energy representations of scalar bilocal quantum fields. Zbl 1156.81422Bakalov, Bojko; Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan 4 2007 Jacobi identity for vertex algebras in higher dimensions. Zbl 1111.17014Bakalov, Bojko; Nikolov, Nikolay M. 11 2006 Vertex algebras in higher dimensions and globally conformal invariant quantum field theory. Zbl 1125.17010Nikolov, Nikolay M. 13 2005 Partial wave expansion and Wightman positivity in conformal field theory. Zbl 1128.81320Nikolov, Nikolay M.; Rehren, Karl-Henning; Todorov, Ivan T. 10 2005 Elliptic thermal correlation functions and modular forms in a globally conformal invariant QFT. Zbl 1111.81112Nikolov, Nikolay M.; Todorov, Ivan T. 6 2005 Rational conformal correlation functions of gauge invariant local fields in four dimensions. Zbl 1229.81167Nikolov, N. M.; Stanev, Y. S.; Todorov, I. T. 1 2005 Conformal invariance and rationality in an even dimensional quantum field theory. Zbl 1065.81587Nikolov, N. M.; Todorov, I. T. 4 2004 Globally conformal invariant gauge field theory with rational correlation functions. Zbl 1058.81054Nikolov, N. M.; Stanev, Ya. S.; Todorov, I. T. 10 2003 Four-dimensional conformal field theory models with rational correlation functions. Zbl 1041.81097Nikolov, N. M.; Stanev, Ya. S.; Todorov, I. T. 12 2002 Conformal quantum field theory in two and four dimensions. Zbl 1274.81202Nikolov, N. M.; Todorov, I. T. 3 2002 Rationality of conformally invariant local correlation functions on compactified Minkowski space. Zbl 0985.81055Nikolov, Nikolay M.; Todorov, Ivan T. 19 2001 all cited Publications top 5 cited Publications all top 5 Cited by 42 Authors 13 Nikolov, Nikolay M. 9 Todorov, Ivan T. 4 Bakalov, Bojko 4 Rehren, Karl-Henning 3 Gracia-Bondía, José M. 3 Rejzner, Katarzyna 3 Stanev, Yassen S. 2 Dang, Nguyen Viet 2 Dütsch, Michael 2 Estrada, Ricardo 2 Mund, Jens 2 Schroer, Bert 2 Várilly, Joseph C. 1 Bahns, Dorothea 1 Blaschke, Daniel N. 1 de Oliveira, Erichardson T. 1 Fredenhagen, Klaus 1 Gieres, François 1 Giraudo, Samuele 1 Herscovich, Estanislao 1 Hollands, Stefan 1 Jadczyk, Arkadiusz 1 Keller, Kai Johannes 1 Knuth, Holger 1 Kounchev, Ognyan Ivanov 1 Kreimer, Dirk 1 Li, Haisheng 1 Mencattini, Igor 1 Milanov, Todor E. 1 Nedanovski, Dimitar 1 Neeb, Karl-Hermann 1 Nguyen Viet Dang 1 Olbermann, Heiner 1 Reboud, Méril 1 Render, Hermann 1 Schweda, Manfred 1 Stora, Raymond 1 Tan, Shao Bin 1 Tanimoto, Yoh 1 Vindas, Jasson 1 Yang, Yunyun 1 Zahariev, Svetoslav all top 5 Cited in 22 Serials 8 Communications in Mathematical Physics 8 Nuclear Physics. B 4 Journal of Mathematical Physics 3 Reviews in Mathematical Physics 3 Annales Henri Poincaré 2 International Journal of Modern Physics A 1 Modern Physics Letters A 1 Discrete Mathematics 1 Physics Letters. B 1 Annales de l’Institut Fourier 1 Compositio Mathematica 1 Journal of Algebra 1 Results in Mathematics 1 Advances in Applied Clifford Algebras 1 Journal of the European Mathematical Society (JEMS) 1 Analysis and Applications (Singapore) 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 International Journal of Geometric Methods in Modern Physics 1 Foundations of Physics 1 Journal of Homotopy and Related Structures 1 Advances in Mathematical Physics 1 Forum of Mathematics, Sigma all top 5 Cited in 23 Fields 42 Quantum theory (81-XX) 11 Nonassociative rings and algebras (17-XX) 6 Category theory; homological algebra (18-XX) 6 Functional analysis (46-XX) 3 History and biography (01-XX) 3 Number theory (11-XX) 3 Approximations and expansions (41-XX) 2 Associative rings and algebras (16-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Mechanics of particles and systems (70-XX) 1 Combinatorics (05-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Operator theory (47-XX) 1 Algebraic topology (55-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year