- 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.

§
Member of the organizing committee for Teichmüller Theory and Low-Dimensional Topology, January 11 -
15, 2016 at Tsinghua Sanya International
Mathematics Forum, Sanya, China.

§
Co-chair, with Graeme Wilkin, Program on Geometry,
Topology and Dynamics of Moduli Spaces at the Institute
for Mathematical Sciences (IMS)
in Singapore from August 1-19, 2016.

§ Co-chair,
with Jean-Marc Schlenker of Mini-Workhop “Geometric
structures and representation varieties”, May 3-5, 2017, National University of
Singapore. link: http://math.uni.lu/schlenker/sling/

§ Member of the
organizing committee for the workshop “Representation
varieties and geometric structures in low dimensions ”, University of
Warwick, 2-6 July 2018.

**Recent Papers and Preprints**

§ 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, Journal of
Differential Geometry, 97, no. 2 (2014): 255-274, arXiv:1102.2133.

§ Sara Maloni, Frederic Palesi, and Ser Peow
Tan, On the character variety of the four-holed sphere, Groups Geometry and Dynamics,
9, no. 3 (2015): 737-782. (Switzerland),
eprint arXiv:1304.5770.

§ 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, Handbook
on Teichmueller Theory Vol
5 (2016) 19—53, eprint arXiv:1309.3578.

§
Hengnan Hu, and Ser Peow
Tan, New
identities for small hyperbolic surfaces, Bulletin of the London Mathematical
Society, 46, no. 5 (2014): 1021-1031. 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,
Mathematical Research Letters, 22, no. 2 (2015): 485-499, eprint
arXiv:1402.3904.

§
W
Goldman, G McShane, G Stantchev, S P Tan. Automorphisms
of two-generator free groups and spaces of isometric actions on the hyperbolic
plane, to appear, Memoirs of the AMS, eprint **arXiv:1509.03790**.

§
C.
Series, S P Tan, Y Yamashita, The diagonal slice of Schottky
space, to appear, Algebraic and Geometric Topology, eprint .

§
H
Hu, S P Tan* and Y Zhang, 'Polynomial automorphisms
of C^n preserving the Markoff-Hurwitz
polynomial', (submitted) eprint

arXiv:1501.06955

§
Beicheng
Lou, Ser Peow Tan, Anh Duc Vo, “Hyperbolic jigsaws
and families of pseudomodular groups I”, (submitted) eprint **arXiv:1611.02922**

**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
- Beicheng Lou
- Feng Luo
- Sara Maloni
- Greg McShane
- Shigeru Mizushima
- Shawn Ng
- Frederic Palesi
- Makoto
Sakuma
- Caroline Series
- George Stantchev
- Eng Chye Tan
- Anh Duc Vo
- 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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page of the Department of Mathematics

Last Modified: 2 August 2012.