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## Gelca, Răzvan

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 Author ID: gelca.razvan Published as: Gelca, Răzvan; Gelca, Razvan; Gelca, Rǎzvan
 Documents Indexed: 33 Publications since 1988, including 5 Books Reviewing Activity: 30 Reviews
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#### Co-Authors

 15 single-authored 4 Andreescu, Titu 3 Uribe, Alejandro 2 Frohman, Charles D. 2 Hamilton, Alastair 2 Sain, Jeremy 1 Cho, Jea-Pil 1 Dunbar, Steven R. 1 Feng, Zuming 1 Funar, Louis 1 Le, Ian 1 Lofaro, Walter F. 1 Nagasato, Fumikazu 1 Roeger, Lih-Ing Wu
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#### Serials

 4 Journal of Knot Theory and its Ramifications 2 Journal of Geometry and Physics 2 Fundamenta Mathematicae 2 Integral Equations and Operator Theory 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 1 American Mathematical Monthly 1 Communications in Mathematical Physics 1 Houston Journal of Mathematics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Mathematics Magazine 1 Analele Universităţii din Timişoara. Ştiinţe Matematice 1 Commentarii Mathematici Helvetici 1 Topology and its Applications 1 Journal of Mathematical Sciences. University of Tokyo 1 The New York Journal of Mathematics 1 Discrete and Continuous Dynamical Systems
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#### Fields

 19 Manifolds and cell complexes (57-XX) 10 Quantum theory (81-XX) 7 Algebraic geometry (14-XX) 5 Functional analysis (46-XX) 5 Mathematics education (97-XX) 4 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Nonassociative rings and algebras (17-XX) 2 Functions of a complex variable (30-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Numerical analysis (65-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

27 Publications have been cited 207 times in 138 Documents Cited by Year
Skein modules and the noncommutative torus. Zbl 0951.57007
Frohman, Charles; Gelca, Razvan
2000
The A-polynomial from the noncommutative viewpoint. Zbl 0980.57002
Frohman, Charles; Gelca, Razvan; LoFaro, Walter
2002
On the relation between the A-polynomial and the Jones polynomial. Zbl 0994.57014
Gelca, Razvan
2002
The noncommutative A-ideal of a $$(2,2p+1)$$-torus knot determines its Jones polynomial. Zbl 1034.57005
Gelca, Răzvan; Sain, Jeremy
2003
Non-commutative trigonometry and the A-polynomial of the trefoil knot. Zbl 1017.57002
Gelca, Răzvan
2002
Dynamically consistent discrete-time Lotka-Volterra competition models. Zbl 1184.92057
Roeger, Lih-Ing W.; Gelca, Razvan
2009
Rings with topologies induced by spaces of functions. Zbl 0849.46036
Gelca, Răzvan
1995
On the groupoid of transformations of rigid structures on surfaces. Zbl 0959.57027
Funar, Louis; Gelca, Răzvan
1999
The computation of the non-commutative generalization of the A-polynomial of the figure-eight knot. Zbl 1079.57008
Gelca, Răzvan; Sain, Jeremy
2004
A short proof of a result on polynomials. Zbl 0875.26027
Gelca, Răzvan
1993
The Weyl quantization and the quantum group quantization of the moduli space of flat $$SU(2)$$-connections on the torus are the same. Zbl 1027.53113
Gelca, Răzvan; Uribe, Alejandro
2003
Topological quantum field theory with corners based on the Kauffman bracket. Zbl 0893.57002
Gelca, Răzvan
1997
Some results about the Kauffman bracket skein module of the twist knot exterior. Zbl 1131.57014
Gelca, Răzvan; Nagasato, Fumikazu
2006
Theta functions and knots. Zbl 1311.57001
Gelca, Răzvan
2014
$$sl(2,\mathbb{C})$$-topological quantum field theory with corners. Zbl 0971.57037
Gelca, Răzvan
1998
Compact perturbations of Fredholm $$n$$-tuples. Zbl 0814.47015
Gelca, Răzvan
1994
On the holomorphic point of view in the theory of quantum knot invariants. Zbl 1100.81037
Gelca, Răzvan
2006
Topological Hilbert Nullstellensatz for Bergman spaces. Zbl 0905.47004
Gelca, Răzvan
1997
From classical theta functions to topological quantum field theory. Zbl 1330.14074
Gelca, Răzvan; Uribe, Alejandro
2014
Mathematical olympiad challenges. With a foreword by Mark Saul. 2nd ed. Zbl 1211.00001
Andreescu, Titu; Gelca, Răzvan
2009
Compact perturbations of Fredholm $$n$$-tuples. II. Zbl 0820.47011
Gelca, Răzvan
1994
Mathematical Olympiad challenges. With a foreword by Mark Saul. Zbl 0958.00004
Andreescu, Titu; Gelca, Răzvan
2000
The quantum invariant of the complement of a regular neighborhood of a link. Zbl 0892.57004
Gelca, Rǎzvan
1997
Putnam and beyond. Zbl 1122.00008
Gelca, Răzvan; Andreescu, Titu
2007
Representations of the Kauffman bracket skein algebra of the punctured torus. Zbl 1291.81197
Cho, Jea-Pil; Gelca, Răzvan
2014
Quantum mechanics and nonabelian theta functions for the gauge group $$\mathop{SU}(2)$$. Zbl 1327.81240
Gelca, Răzvan; Uribe, Alejandro
2015
Classical theta functions from a quantum group perspective. Zbl 1310.81095
Gelca, Răzvan; Hamilton, Alastair
2015
Quantum mechanics and nonabelian theta functions for the gauge group $$\mathop{SU}(2)$$. Zbl 1327.81240
Gelca, Răzvan; Uribe, Alejandro
2015
Classical theta functions from a quantum group perspective. Zbl 1310.81095
Gelca, Răzvan; Hamilton, Alastair
2015
Theta functions and knots. Zbl 1311.57001
Gelca, Răzvan
2014
From classical theta functions to topological quantum field theory. Zbl 1330.14074
Gelca, Răzvan; Uribe, Alejandro
2014
Representations of the Kauffman bracket skein algebra of the punctured torus. Zbl 1291.81197
Cho, Jea-Pil; Gelca, Răzvan
2014
Dynamically consistent discrete-time Lotka-Volterra competition models. Zbl 1184.92057
Roeger, Lih-Ing W.; Gelca, Razvan
2009
Mathematical olympiad challenges. With a foreword by Mark Saul. 2nd ed. Zbl 1211.00001
Andreescu, Titu; Gelca, Răzvan
2009
Putnam and beyond. Zbl 1122.00008
Gelca, Răzvan; Andreescu, Titu
2007
Some results about the Kauffman bracket skein module of the twist knot exterior. Zbl 1131.57014
Gelca, Răzvan; Nagasato, Fumikazu
2006
On the holomorphic point of view in the theory of quantum knot invariants. Zbl 1100.81037
Gelca, Răzvan
2006
The computation of the non-commutative generalization of the A-polynomial of the figure-eight knot. Zbl 1079.57008
Gelca, Răzvan; Sain, Jeremy
2004
The noncommutative A-ideal of a $$(2,2p+1)$$-torus knot determines its Jones polynomial. Zbl 1034.57005
Gelca, Răzvan; Sain, Jeremy
2003
The Weyl quantization and the quantum group quantization of the moduli space of flat $$SU(2)$$-connections on the torus are the same. Zbl 1027.53113
Gelca, Răzvan; Uribe, Alejandro
2003
The A-polynomial from the noncommutative viewpoint. Zbl 0980.57002
Frohman, Charles; Gelca, Razvan; LoFaro, Walter
2002
On the relation between the A-polynomial and the Jones polynomial. Zbl 0994.57014
Gelca, Razvan
2002
Non-commutative trigonometry and the A-polynomial of the trefoil knot. Zbl 1017.57002
Gelca, Răzvan
2002
Skein modules and the noncommutative torus. Zbl 0951.57007
Frohman, Charles; Gelca, Razvan
2000
Mathematical Olympiad challenges. With a foreword by Mark Saul. Zbl 0958.00004
Andreescu, Titu; Gelca, Răzvan
2000
On the groupoid of transformations of rigid structures on surfaces. Zbl 0959.57027
Funar, Louis; Gelca, Răzvan
1999
$$sl(2,\mathbb{C})$$-topological quantum field theory with corners. Zbl 0971.57037
Gelca, Răzvan
1998
Topological quantum field theory with corners based on the Kauffman bracket. Zbl 0893.57002
Gelca, Răzvan
1997
Topological Hilbert Nullstellensatz for Bergman spaces. Zbl 0905.47004
Gelca, Răzvan
1997
The quantum invariant of the complement of a regular neighborhood of a link. Zbl 0892.57004
Gelca, Rǎzvan
1997
Rings with topologies induced by spaces of functions. Zbl 0849.46036
Gelca, Răzvan
1995
Compact perturbations of Fredholm $$n$$-tuples. Zbl 0814.47015
Gelca, Răzvan
1994
Compact perturbations of Fredholm $$n$$-tuples. II. Zbl 0820.47011
Gelca, Răzvan
1994
A short proof of a result on polynomials. Zbl 0875.26027
Gelca, Răzvan
1993
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#### Cited by 141 Authors

 12 Gelca, Răzvan 10 Mironov, Andrei D. 10 Morozov, Alexei Yurievich 8 Tran, Anh Tuan 7 Frohman, Charles D. 7 Le, Thang Tu Quoc 6 Garoufalidis, Stavros 6 Sikora, Adam S. 5 Hoang, Manh Tuan 5 Morozov, Andreĭ Alekseevich 4 Marché, Julien 4 Nagasato, Fumikazu 4 Samuelson, Peter 3 Berest, Yuri Yu. 3 Dabkowski, Mieczysław K. 3 Dang Quang A 3 Douglas, Ronald George 3 Guo, Kunyu 3 Hikami, Kazuhiro 3 Jordan, David Andrew 3 Kania-Bartoszyńska, Joanna 3 Przytycki, Józef H. 2 Abdiel, Nel 2 Anokhina, A. S. 2 Benvenuti, Silvia 2 Bonahon, Francis 2 Brochier, Adrien 2 Egbelowo, Oluwaseun Francis 2 Funar, Louis 2 Gukov, Sergei 2 Hajja, Mowaffaq 2 Hayajneh, Mostafa 2 Itoyama, Hiroshi 2 Kapoudjian, Christophe 2 Knese, Greg 2 Kosiński, Łukasz 2 Koutschan, Christoph 2 Li, Changsong 2 Lofaro, Walter F. 2 McLendon, Michael 2 Piergallini, Riccardo 2 Queffelec, Hoel 2 Sain, Jeremy 2 Sola, Alan A. 1 Allegretti, Dylan Gregory Lucasi 1 Arthamonov, Semeon 1 Bakalov, Bojko 1 Balagović, Martina 1 Ben-Zvi, David 1 Bénéteau, Catherine 1 Bullock, Doug 1 Carrega, Alessio 1 Charles, Laurent 1 Chavan, Sameer Laxman 1 Chen, Yuming 1 Choo, Sangmok 1 Corvaja, Pietro 1 Curto, Raúl Enrique 1 de Villiers, Michael D. 1 Dimofte, Tudor Dan 1 Ding, Deqiong 1 Ding, Xiaohua 1 Fuchs, Jürgen 1 Gabella, Maxime 1 Galakhov, D. V. 1 Galasso, Andrea 1 Gallagher, Joseph E. 1 Geiller, Marc 1 Gilmer, Patrick M. 1 Golitsyna, Mayya 1 Goncharov, Alexander Borisovich 1 Grove, Jakob 1 Guo, Hongpeng 1 Guo, Zhiming 1 Hamilton, Alastair 1 Hammoudeh, Ismail 1 Han, Muxin 1 Han, Young Min 1 Hoang Manh Tuan 1 Jai-akson, Puttarak 1 Kassabov, Martin 1 Kholodenko, Arkady L. 1 Kim, An-Hyun 1 Kim, Hyun Kyu 1 Kim, Jungsoo 1 Kirillov, Alexander A. jun. 1 Kojouharov, Hristo V. 1 Kong, Liang 1 Kotek, Tomer 1 Lee, Christine Ruey Shan 1 Li, Qin 1 Liaw, Constanze 1 Liu, Xiaobo 1 Makowsky, Johann-Andreas 1 Masbaum, Gregor 1 Morozov, Al’bert Dmitrievich 1 Morton, Hugh R. 1 Mroczkowski, Maciej 1 Murakami, Hitoshi 1 Musiker, Gregg ...and 41 more Authors
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#### Cited in 57 Serials

 17 Journal of Knot Theory and its Ramifications 10 Algebraic & Geometric Topology 9 Journal of High Energy Physics 8 Topology and its Applications 6 Transactions of the American Mathematical Society 5 Advances in Mathematics 4 Communications in Mathematical Physics 4 Theoretical and Mathematical Physics 4 Proceedings of the American Mathematical Society 3 Journal of Mathematical Analysis and Applications 3 Compositio Mathematica 3 Integral Equations and Operator Theory 3 Journal of Algebra 3 Journal of Functional Analysis 3 International Journal of Mathematics 3 Geometry & Topology 3 Quantum Topology 2 International Journal of Modern Physics A 2 Letters in Mathematical Physics 2 Journal of Geometry and Physics 2 Acta Mathematica Vietnamica 2 Fundamenta Mathematicae 2 Inventiones Mathematicae 2 European Journal of Combinatorics 1 Modern Physics Letters A 1 Journal d’Analyse Mathématique 1 The Mathematical Gazette 1 Nuclear Physics. B 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Publications Mathématiques 1 Journal of Computational and Applied Mathematics 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Applied Mathematics Letters 1 Proceedings of the National Academy of Sciences of the United States of America 1 Experimental Mathematics 1 Selecta Mathematica. New Series 1 Journal of Difference Equations and Applications 1 Transformation Groups 1 Vietnam Journal of Mathematics 1 Acta Mathematica Sinica. English Series 1 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Geometric Methods in Modern Physics 1 Advances in Difference Equations 1 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche 1 Journal of Noncommutative Geometry 1 Journal of Physics A: Mathematical and Theoretical 1 Advances in High Energy Physics 1 Research in the Mathematical Sciences 1 European Journal of Mathematics
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#### Cited in 35 Fields

 93 Manifolds and cell complexes (57-XX) 28 Quantum theory (81-XX) 14 Operator theory (47-XX) 10 Group theory and generalizations (20-XX) 9 Functional analysis (46-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Differential geometry (53-XX) 7 Numerical analysis (65-XX) 6 Algebraic geometry (14-XX) 6 Nonassociative rings and algebras (17-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Combinatorics (05-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 4 Associative rings and algebras (16-XX) 4 Functions of a complex variable (30-XX) 4 Relativity and gravitational theory (83-XX) 3 Commutative algebra (13-XX) 3 Category theory; homological algebra (18-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Geometry (51-XX) 3 Biology and other natural sciences (92-XX) 2 Number theory (11-XX) 2 Real functions (26-XX) 2 Convex and discrete geometry (52-XX) 1 Partial differential equations (35-XX) 1 Sequences, series, summability (40-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX)