- B.A. (Hons) Oxford University, England. (Jesus College)
- Ph.D., Univ. of California, Los
Angeles, USA. (Advisors, John
Millson and William Goldman )

·
Geometric structures on manifolds

·
Circle packings on
projective surfaces

·
Identities on hyperbolic manifolds

·
Dynamics of group actions

**Curriculum Vitae**

A copy of my recent CV can be downloaded here: CV (pdf file).

**Conferences and Workshops**

§
Co-chair, with Bill Goldman and Caroline Series, Program on
Geometry, Topology and Dynamics of Character Varieties at the Institute for Mathematical Sciences, NUS
in the summer of 2010.

§
Member of the
Scientific Committee, “Aspects
of hyperbolicity in Geometry, Topology and Dynamics",
Jul 2011, Warwick, UK.

§
Member of organizing
committee (with Bill Goldman and Anna Wienhard)
"Workshop
on Moduli Spaces of Representations", Feb 6-10, 2012, part of the
trimester on Geometry and analysis of surface groups representations at the Institute Henri
Poincare, Paris, France.

§
Organizer, the Inaugural Singapore
Summer Lectures in Geometry in the summer of 2012.

§
Member of the organizing committee of the topology
session, Asian Mathematical Conference 2013, Jun/Jul 2013, Busan, Korea.

**Recent Papers and Preprints**

§ Ser Peow Tan, Yan Loi Wong and Ying Zhang, Generalized Delambre-Gauss formulas for oriented, augmented,
right-angled hexagons in hyperbolic 4-space, Adv. Math. 230, (2012), 927–956.

§ Geometry, Topology And Dynamics Of Character Varieties, Lecture Notes
Series, Institute for Mathematical Sciences, National University of Singapore
Vol. 23, Eds. William Goldman, Caroline
Series, Ser Peow Tan.

§ Martin Bridgeman, and Ser Peow Tan, Moments of the
boundary hitting function for the geodesic flow
on a hyperbolic manifold, Geometry and
Topology, 18 (2014), 491--520. arXiv:1302.0527

§ Feng Luo, and Ser Peow
Tan, A dilogarithm identity on moduli spaces of
curves, arXiv:1102.2133, to appear, J. Differential Geom.

§ Sara Maloni, Frederic Palesi, and Ser Peow Tan, On the character variety of the four-holed
sphere, eprint arXiv:1304.5770, submitted for publication.

§ Inkang Kim, Joonhyung Kim, and Ser Peow Tan, McShane's
Identity in Rank One Symmetric Spaces, Math. Proceedings of
the Cambridge Philosophical Society, 157 (2014), 113--137. eprint arXiv:1203.5901.

§ Martin Bridgeman, and Ser Peow
Tan, Identities on hyperbolic manifolds, eprint arXiv:1309.3578,
to appear, The Handbook on Teichmueller Theory Vol 5.

§ Hengnan Hu, and Ser Peow
Tan, New
identities for small hyperbolic surfaces, to appear, Bull. London
Math. Soc. eprint arXiv:1402.1573.

§
Hengnan Hu, Ser Peow Tan, and Ying Zhang, A new identity for SL(2,C)-characters of
the once punctured torus group, eprint arXiv:1402.3904.

**List of Selected Publications (
click here
for full list of publications)**

1. Yoshinobu
Kamishima and Ser Peow Tan,
Deformation spaces on geometric structures, Advanced Studies in Pure
Mathematics. 20, pp 263-299, 1992.

2. Ser Peow Tan, Deformations of flat conformal structures on a hyperbolic
3-manifold, *J. Differential Geom*. 37, pp 161-176, 1993.

3. Ser Peow Tan, Complex Fenchel-Nielsen
Coordinates for Quasi-Fuchsian Structures,
International Journal of Mathematics, 5-2, pp 239-251, 1994.

4. Ser Peow Tan, Branched $CP^1$-structures on surfaces with prescribed
real holonomy, Mathematische
Annalen, 300, pp 649-667, 1994.

5. Mong Lung Lang, Chong-Hai Lim and Ser Peow Tan, Independent generators for Congruence subgroups
of the Hecke Groups, Mathematische
Zeitschrift, 220, pp 569-594, 1995.

6. Mong Lung Lang, Chong-Hai Lim and Ser Peow Tan, Principal congruence subgroups of the Hecke groups. *J. Number
Theory* **85
**(2000), no. 2, 220--230.

7. Sadayoshi
Kojima, Shigeru Mizushima and Ser
Peow Tan, Circle packings
on surfaces with projective structures. *J.
Differential Geom. * **63
**(2003), no. 3, 349—397.

8. Ser Peow Tan, Yan Loi Wong and Ying Zhang, Generalizations of McShane's identity to hyperbolic cone-surfaces, *J. Differential Geom. * **72
**(2006), no. 1, 73--112.

9. Ser Peow Tan, Yan Loi Wong and Ying Zhang, Generalized Markoff maps and McShane's
identity. Adv. Math. 217 (2008), no. 2, 761--813.

10. Ser Peow Tan, Yan Loi Wong and Ying Zhang, End invariants for ${\rm SL}(2,\mathbf
C)$ characters of the one-holed torus.
Amer. J. Math. 130 (2008), no. 2, 385--412.

**Collaborators
(Past and Present)**

- Martin Bridgeman
- Shih-Ping Chan
- Bill Goldman
- Hengnan Hu
- Yoshinobu
Kamishima
- Inkang Kim
- Joonhyung Kim
- Sadayoshi
Kojima
- Mong Lung Lang
- Chong Hai Lim
- Feng Luo
- Sara Maloni
- Greg McShane
- Shigeru Mizushima
- Shawn Ng
- Frederic Palesi
- Makoto
Sakuma
- Caroline Series
- George Stantchev
- Eng Chye Tan
- Haibin Wang
- Yan Loi Wong
- Yasushi Yamashita
- Ying Zhang

**PhD Thesis of my students**

**(Professor,
Soochow University, PRC)**

My first student Ying Zhang successfully defended his
PhD thesis in July 2004. The title is "Hyperbolic cone-surfaces,
generalized Markoff maps, Schottky
groups and McShane's Identity". You can download
the pdf file here.

My second student Hengnan Hu successfully defended his
thesis in Nov 2013. The title is “Identities on hyperbolic surfaces, group
actions and the Markoff-Hurwitz equations”. You can
download the pdf file here.

Tan Ser Peow

Department of Mathematics

National University of Singapore

Block S17, 10 Lower Kent Ridge Road

Singapore 119076

Republic of Singapore

mattansp (at)
nus (dot) edu (dot) sg

(65) 6516-6160 (office)

(65) 6779-5452 (fax)

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Last Modified: 2 August 2012.