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## Tan, Ser Peow

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 Author ID: tan.ser-peow Published as: Tan, Ser Peow; Tan, Ser-Peow; Ser Peow Tan; Tan, Ser P. Homepage: http://www.math.nus.edu.sg/~mattansp/ External Links: MGP
 Documents Indexed: 44 Publications since 1992, including 2 Books Reviewing Activity: 33 Reviews
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#### Co-Authors

 7 single-authored 10 Zhang, Ying 9 Lang, Mong Lung 6 Lim, Chong-Hai 3 Hu, Hengnan 3 Kojima, Sadayoshi 3 Mizushima, Shigeru 2 Bridgeman, Martin J. 2 Chan, Shih-Ping 2 Goldman, William M. 2 Kim, YoungJu 2 Series, Caroline 1 Kamishima, Yoshinobu 1 Kim, Inkang 1 Kim, Joonhyung 1 Labourie, François 1 Luo, Feng 1 Maloni, Sara 1 McShane, Greg 1 Ng, Shawn Pheng Keong 1 Palesi, Frédéric 1 Stantchev, George 1 Tan, Eng-Chye 1 Yamashita, Yasushi
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#### Serials

 5 Geometriae Dedicata 4 Journal of Differential Geometry 3 Advances in Mathematics 2 Journal of the Korean Mathematical Society 2 Pacific Journal of Mathematics 2 Proceedings of the American Mathematical Society 2 International Journal of Mathematics 1 Linear and Multilinear Algebra 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Journal of the Australian Mathematical Society. Series A 1 Communications in Analysis and Geometry 1 Mathematical Research Letters 1 Electronic Research Announcements of the American Mathematical Society 1 Geometry & Topology 1 Algebraic & Geometric Topology 1 Lecture Notes Series. Institute for Mathematical Sciences. National University of Singapore 1 Groups, Geometry, and Dynamics
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#### Fields

 23 Manifolds and cell complexes (57-XX) 17 Functions of a complex variable (30-XX) 14 Group theory and generalizations (20-XX) 11 Several complex variables and analytic spaces (32-XX) 11 Differential geometry (53-XX) 10 Number theory (11-XX) 4 Convex and discrete geometry (52-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 Algebraic geometry (14-XX) 2 Geometry (51-XX) 2 Global analysis, analysis on manifolds (58-XX) 1 General and overarching topics; collections (00-XX) 1 Relativity and gravitational theory (83-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 235 times in 148 Documents Cited by Year
Deformation spaces on geometric structures. Zbl 0798.53030
Kamishima, Yoshinobu; Tan, Ser P.
1992
Generalizations of McShane’s identity to hyperbolic cone-surfaces. Zbl 1097.53031
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2006
Generalized Markoff maps and McShane’s identity. Zbl 1158.57023
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2008
Complex Fenchel-Nielsen coordinates for quasi-fuchsian structures. Zbl 0816.32017
Tan, Ser Peow
1994
Principal congruence subgroups of the Hecke groups. Zbl 0964.11023
Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
2000
End invariants for $$\mathrm{SL}(2,\mathbb C)$$ characters of the one-holed torus. Zbl 1158.57003
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2008
Necessary and sufficient conditions for McShane’s identity and variations. Zbl 1109.57011
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2006
Independent generators for congruence subgroups of Hecke groups. Zbl 0845.11017
Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1995
McShane’s identity for classical Schottky groups. Zbl 1165.30025
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2008
Branched $$\mathbb{C} P^ 1$$-structures on surfaces with prescribed real holonomy. Zbl 0833.53054
Tan, Ser Peow
1994
The $${\text{SL}(2,{\mathbb C})}$$ character variety of a one-holed torus. Zbl 1113.57005
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2005
On the character variety of the four-holed sphere. Zbl 1330.57025
Maloni, Sara; Palesi, Frédéric; Tan, Ser Peow
2015
A dilogarithm identity on moduli spaces of curves. Zbl 1293.30082
Luo, Feng; Tan, Ser Peow
2014
An algorithm for determining if a subgroup of the modular group is congruence. Zbl 0831.20065
Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1995
Delambre-Gauss formulas for augmented, right-angled hexagons in hyperbolic 4-space. Zbl 1246.52019
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2012
Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane. Zbl 1450.57007
Goldman, William; McShane, Greg; Stantchev, George; Tan, Ser Peow
2019
Special polygons for subgroups of the modular group and applications. Zbl 0785.11024
Chan, Shih-Ping; Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1993
Deformations of flat conformal structures on a hyperbolic 3-manifold. Zbl 0785.53035
Tan, Ser Peow
1993
The diagonal slice of Schottky space. Zbl 1386.30045
Series, Caroline; Tan, Ser Peow; Yamashita, Yasushi
2017
Polynomial automorphisms of $$\mathbb {C}^n$$ preserving the Markoff-Hurwitz polynomial. Zbl 1387.32027
Hu, Hengnan; Tan, Ser Peow; Zhang, Ying
2018
Quadratic diophantine equations and two generator Möbius groups. Zbl 0872.11020
Tan, Eng-Chye; Tan, Ser-Peow
1996
Self-intersections of curves on surfaces. Zbl 0977.53037
Tan, Ser Peow
1996
The complement of the Bowditch space in the $$SL(2, \mathbb C)$$ character variety. Zbl 1149.57011
Ng, Shawn Pheng Keong; Tan, Ser Peow
2007
Circle packings on surfaces with projective structures. Zbl 1075.52509
Kojima, Sadayoshi; Mizushima, Shigeru; Tan, Ser Peow
2003
Subgroups of the Hecke groups with small index. Zbl 0784.20022
Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1993
A simple proof of the Markoff conjecture for prime powers. Zbl 1133.11023
Lang, Mong Lung; Tan, Ser Peow
2007
A new identity for $$\text{SL}(2,\mathbf{C})$$-characters of the once punctured torus group. Zbl 1318.57002
Hu, Hengnan; Tan, Ser Peow; Zhang, Ying
2015
Identities on hyperbolic manifolds. Zbl 1344.30034
Bridgeman, Martin; Tan, Ser Peow
2016
Normalizers of the congruence subgroups of the Hecke group $$G_{5}$$. II. Zbl 0972.11028
Lang, Mong-Lung; Tan, Ser-Peow
2000
Corrigendum to “Generalized Markoff maps and McShane’s identity” [Adv. Math. 217 (2008) 761-813]. Zbl 1176.57023
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2009
Moments of the boundary hitting function for the geodesic flow on a hyperbolic manifold. Zbl 1290.32028
Bridgeman, Martin; Tan, Ser Peow
2014
Singular pleated surfaces and $$\mathbb{C}\mathbb{P}^ 1$$-structures. Zbl 0855.32012
Tan, Ser Peow
1995
Conformally flat 3-manifolds and Euclidean polyhedra. Zbl 0851.58050
Tan, Ser Peow
1994
The invariants of the congruence subgroups $$G_ 0(\mathcal P)$$ of the Hecke group $$G_ 5$$. Zbl 0817.20052
Chan, Shih-Ping; Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1994
Normalizers of the congruence subgroups of the Hecke group $$G_{5}$$. Zbl 0926.11027
Lang, Mong-Lung; Tan, Ser-Peow
1999
New identities for small hyperbolic surfaces. Zbl 1300.30084
Hu, Hengnan; Tan, Ser Peow
2014
Automorphisms of two-generator free groups and spaces of isometric actions on the hyperbolic plane. Zbl 1450.57007
Goldman, William; McShane, Greg; Stantchev, George; Tan, Ser Peow
2019
Polynomial automorphisms of $$\mathbb {C}^n$$ preserving the Markoff-Hurwitz polynomial. Zbl 1387.32027
Hu, Hengnan; Tan, Ser Peow; Zhang, Ying
2018
The diagonal slice of Schottky space. Zbl 1386.30045
Series, Caroline; Tan, Ser Peow; Yamashita, Yasushi
2017
Identities on hyperbolic manifolds. Zbl 1344.30034
Bridgeman, Martin; Tan, Ser Peow
2016
On the character variety of the four-holed sphere. Zbl 1330.57025
Maloni, Sara; Palesi, Frédéric; Tan, Ser Peow
2015
A new identity for $$\text{SL}(2,\mathbf{C})$$-characters of the once punctured torus group. Zbl 1318.57002
Hu, Hengnan; Tan, Ser Peow; Zhang, Ying
2015
A dilogarithm identity on moduli spaces of curves. Zbl 1293.30082
Luo, Feng; Tan, Ser Peow
2014
Moments of the boundary hitting function for the geodesic flow on a hyperbolic manifold. Zbl 1290.32028
Bridgeman, Martin; Tan, Ser Peow
2014
New identities for small hyperbolic surfaces. Zbl 1300.30084
Hu, Hengnan; Tan, Ser Peow
2014
Delambre-Gauss formulas for augmented, right-angled hexagons in hyperbolic 4-space. Zbl 1246.52019
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2012
Corrigendum to “Generalized Markoff maps and McShane’s identity” [Adv. Math. 217 (2008) 761-813]. Zbl 1176.57023
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2009
Generalized Markoff maps and McShane’s identity. Zbl 1158.57023
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2008
End invariants for $$\mathrm{SL}(2,\mathbb C)$$ characters of the one-holed torus. Zbl 1158.57003
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2008
McShane’s identity for classical Schottky groups. Zbl 1165.30025
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2008
The complement of the Bowditch space in the $$SL(2, \mathbb C)$$ character variety. Zbl 1149.57011
Ng, Shawn Pheng Keong; Tan, Ser Peow
2007
A simple proof of the Markoff conjecture for prime powers. Zbl 1133.11023
Lang, Mong Lung; Tan, Ser Peow
2007
Generalizations of McShane’s identity to hyperbolic cone-surfaces. Zbl 1097.53031
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2006
Necessary and sufficient conditions for McShane’s identity and variations. Zbl 1109.57011
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2006
The $${\text{SL}(2,{\mathbb C})}$$ character variety of a one-holed torus. Zbl 1113.57005
Tan, Ser Peow; Wong, Yan Loi; Zhang, Ying
2005
Circle packings on surfaces with projective structures. Zbl 1075.52509
Kojima, Sadayoshi; Mizushima, Shigeru; Tan, Ser Peow
2003
Principal congruence subgroups of the Hecke groups. Zbl 0964.11023
Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
2000
Normalizers of the congruence subgroups of the Hecke group $$G_{5}$$. II. Zbl 0972.11028
Lang, Mong-Lung; Tan, Ser-Peow
2000
Normalizers of the congruence subgroups of the Hecke group $$G_{5}$$. Zbl 0926.11027
Lang, Mong-Lung; Tan, Ser-Peow
1999
Quadratic diophantine equations and two generator Möbius groups. Zbl 0872.11020
Tan, Eng-Chye; Tan, Ser-Peow
1996
Self-intersections of curves on surfaces. Zbl 0977.53037
Tan, Ser Peow
1996
Independent generators for congruence subgroups of Hecke groups. Zbl 0845.11017
Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1995
An algorithm for determining if a subgroup of the modular group is congruence. Zbl 0831.20065
Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1995
Singular pleated surfaces and $$\mathbb{C}\mathbb{P}^ 1$$-structures. Zbl 0855.32012
Tan, Ser Peow
1995
Complex Fenchel-Nielsen coordinates for quasi-fuchsian structures. Zbl 0816.32017
Tan, Ser Peow
1994
Branched $$\mathbb{C} P^ 1$$-structures on surfaces with prescribed real holonomy. Zbl 0833.53054
Tan, Ser Peow
1994
Conformally flat 3-manifolds and Euclidean polyhedra. Zbl 0851.58050
Tan, Ser Peow
1994
The invariants of the congruence subgroups $$G_ 0(\mathcal P)$$ of the Hecke group $$G_ 5$$. Zbl 0817.20052
Chan, Shih-Ping; Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1994
Special polygons for subgroups of the modular group and applications. Zbl 0785.11024
Chan, Shih-Ping; Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1993
Deformations of flat conformal structures on a hyperbolic 3-manifold. Zbl 0785.53035
Tan, Ser Peow
1993
Subgroups of the Hecke groups with small index. Zbl 0784.20022
Lang, Mong-Lung; Lim, Chong-Hai; Tan, Ser-Peow
1993
Deformation spaces on geometric structures. Zbl 0798.53030
Kamishima, Yoshinobu; Tan, Ser P.
1992
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#### Cited by 152 Authors

 18 Tan, Ser Peow 8 Lang, Mong Lung 6 Gupta, Subhojoy 6 Sahin, Recep 6 Zhang, Ying 5 Goldman, William M. 5 Ikikardes, Sebahattin 4 Baba, Shinpei 4 Koruoglu, Ozden 4 Scannell, Kevin P. 4 Yamashita, Yasushi 3 Akiyoshi, Hirotaka 3 Ito, Kentaro 3 Labourie, François 3 Maloni, Sara 3 McShane, Greg 3 Norbury, Paul T. 3 Schmidt, Thomas A. 2 Benoist, Yves 2 Charette, Virginie 2 Díaz, Raquel Gómez 2 Dumas, David 2 Fanoni, Federica 2 Gongopadhyay, Krishnendu 2 Hollands, Lotte 2 Hu, Hengnan 2 Hulin, Dominique 2 Kahn, Jeremy Adam 2 Kim, Inkang 2 Kim, YoungJu 2 Lang, Cheng-Lien 2 Lim, Chong-Hai 2 Markovic, Vladimir 2 Martín-Morales, Jorge 2 Mathews, Daniel V. 2 Mj, Mahan 2 Neitzke, Andrew 2 Oller-Marcén, Antonio M. 2 Palesi, Frédéric 2 Parlier, Hugo 2 Rivin, Igor 2 Sakuma, Makoto 2 Schlenker, Jean-Marc 2 Series, Caroline 2 Singerman, David 2 Wolf, Michael 2 Yuan, Pingzhi 1 Andersson, Lars Åke 1 Ashley, Caleb 1 Barbot, Thierry 1 Bart, Anneke 1 Benedetti, Riccardo 1 Bonsante, Francesco 1 Bridgeman, Martin J. 1 Brock, Jeffrey F. 1 Bromberg, Kenneth W. 1 Calsamiglia-Mendlewicz, Gabriel 1 Calta, Kariane 1 Cangul, Ismail Naci 1 Chen, Qiyu 1 Chua, Kok Seng 1 Clark, Peter Louis 1 Cotler, Jordan S. 1 Deroin, Bertrand 1 Dimofte, Tudor Dan 1 Do, Norman 1 Dooms, Ann 1 Drumm, Todd A. 1 Faraco, Gianluca 1 Francaviglia, Stefano 1 Funar, Louis 1 Furokawa, Mikio 1 Gamburd, Alexander 1 Gaster, Jonah 1 Gilman, Jane P. 1 Glasner, Yair 1 Goodman-Strauss, Chaim 1 Guérin, Clément 1 Guéritaud, François 1 Gukov, Sergei 1 Hensel, Sebastian Wolfgang 1 Ho, Son Lam 1 Hsu, Tim 1 Huang, Yi 1 Humphries, Stephen P. 1 Ibrahimou, Boubakari 1 Ivrissimtzis, Ioannis P. 1 Jang, Wonyong 1 Jensen, Kristan 1 Jespers, Eric 1 Kabaya, Yuichi 1 Kalane, Sagar B. 1 Kapovich, Ilya 1 Kapovich, Michael 1 Kim, Joonhyung 1 Kim, KyeongRo 1 Komori, Yohei 1 Konovalov, Alexander B. 1 Krebs, Mike 1 Kudlinska, Monika ...and 52 more Authors
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#### Cited in 59 Serials

 30 Geometriae Dedicata 8 Geometry & Topology 7 Transactions of the American Mathematical Society 6 Advances in Mathematics 6 Duke Mathematical Journal 5 Journal of Algebra 5 Topology and its Applications 5 Conformal Geometry and Dynamics 3 Journal of High Energy Physics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Annales de l’Institut Fourier 2 Bulletin of the London Mathematical Society 2 Journal of the Korean Mathematical Society 2 Mathematische Annalen 2 Mathematische Zeitschrift 2 Michigan Mathematical Journal 2 Proceedings of the American Mathematical Society 2 European Journal of Combinatorics 2 Journal of the American Mathematical Society 2 International Journal of Algebra and Computation 2 Geometric and Functional Analysis. GAFA 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Algebra Colloquium 2 Transformation Groups 2 Annals of Mathematics. Second Series 2 Acta Mathematica Sinica. English Series 2 Algebraic & Geometric Topology 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Letters in Mathematical Physics 1 Archiv der Mathematik 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of Number Theory 1 Kybernetika 1 Memoirs of the American Mathematical Society 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 L’Enseignement Mathématique. 2e Série 1 Bulletin of the American Mathematical Society. New Series 1 Journal of Knot Theory and its Ramifications 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Turkish Journal of Mathematics 1 Electronic Research Announcements of the American Mathematical Society 1 The Ramanujan Journal 1 Journal of the European Mathematical Society (JEMS) 1 Advances in Geometry 1 Computational Methods and Function Theory 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Complex Variables and Elliptic Equations 1 Groups, Geometry, and Dynamics 1 Journal of Modern Dynamics 1 Journal of Topology 1 Journal of $$K$$-Theory 1 Forum of Mathematics, Sigma 1 Journal de l’École Polytechnique – Mathématiques 1 Actes des Rencontres du C.I.R.M.
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#### Cited in 23 Fields

 76 Manifolds and cell complexes (57-XX) 63 Functions of a complex variable (30-XX) 45 Group theory and generalizations (20-XX) 27 Several complex variables and analytic spaces (32-XX) 27 Differential geometry (53-XX) 26 Number theory (11-XX) 12 Algebraic geometry (14-XX) 9 Dynamical systems and ergodic theory (37-XX) 8 Topological groups, Lie groups (22-XX) 8 Geometry (51-XX) 7 Global analysis, analysis on manifolds (58-XX) 5 Convex and discrete geometry (52-XX) 5 Quantum theory (81-XX) 5 Relativity and gravitational theory (83-XX) 3 Ordinary differential equations (34-XX) 2 Combinatorics (05-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Special functions (33-XX) 1 General topology (54-XX) 1 Numerical analysis (65-XX)