Curriculum Vitae
Apr 2006
Name: Tan Eng Chye Current
Position: Professor, Department of Mathematics, 2, Email: mattanec@nus.edu.sg |
 |
Education:
-
Bachelor in Mathematics (Honours), NUS (1981 -- 85);
-
M.Sc. and Ph.D. in Mathematics,
Research
Interests:
1.
Representation Theory of Lie Groups and Lie Algebras
2.
Invariant Theory and Algebraic Combinatorics
Editorial and
Conference Organisation:
1.
Editorial
Board, South East Asian Mathematical Bulletin, from 2002.
2.
Organising
Secretary, Local Organising Committee, International Conference of the
Fundamental Sciences, August 2000 in
3. Co-organizer,
Workshop on Representation Theory and Invariant Theory, from 20 March to
4.
Co-organizer,
NUS-JSPS Workshop on Algebra, from 9 July to
5. Co-Chairman,
Progamme on Representation Theory of Lie Groups at the Institute for
Mathematical Sciences,
6.
Member,
Organising Committee, Satellite Conference on Algebra and Combinatorics, 14 August
to
7.
Member,
Organising Committee, Southeast Asian Mathematical Conference, 14 December to
8.
Chairman,
Steering Committee and Local Organizing Committee, Asian Mathematical
Conference 2005, to be held from 23 July to 27 July 2005, at the National University of Singapore,
Singapore.
Invited
Addresses:
1.
Invited to give a plenary lecture at the International Symposium on
Representation Theory and Homogeneous Spaces, 27 July to
2.
Invited speaker at the KIAS (Korea Institute for Advanced Study) Lie
Theory Conference, 5 October to
3.
Invited speaker at the Workshop on Geometry of Nilpotent Orbits and
Representation Theory, 31 January to
4.
Invited 40-minute speaker at the Third Asian Mathematical Congress 2000,
23 October to
5.
Invited speaker at the International Conference on Representation Theory
and Automorphic Forms, 1 July to
6.
Invited speaker at the International Conference on Combinatorics and
Applications, 3 December to
7.
Invited speaker at the Annual Meeting of the Australian Mathematics
Society, 7 July to 11 July
2003 , Sydney , Australia
8.
Invited speaker
at the International Symposium on Representation Theory and Harmonic Analysis, 2
August to
9.
Invited Speaker,
International Conference in Discrete Mathematics with Applications to
Information Science and Related Topics, 20 October to
10.
Invited Speaker,
International Conference on Harmonic Analysis and Quantum Groups, 5 January to
11.
Invited Speaker, Third
Pacific Rim Conference on Mathematics, 17 August to
12.
Invited
Speaker, International Conference on the Frontiers of Nonlinear and Complex
Systems, 24 May to
Teaching Awards
1.
Awarded
the Innovative Teaching Award 1998
by the Faculty of Science.
2.
Awarded
the Teaching Excellence Award
(Innovative Teaching) 1998 by the University.
3.
Awarded
the Faculty Teaching Excellence Award
2004/2005 and the annual University
Teaching Excellence Award 2004/2005.
Publications:
Books:
1.
Howe Roger and Tan Eng-Chye, Non-Abelian
Harmonic Analysis -- Applications of SL(2,R),
2.
Leung Ka Hin, Pang Yu Hin, Peter, Tan Eng-Chye, To Wing Keung, Challenging Problems in Mathematics,
Singapore Mathematical Society, 1994, 94 pages.
3.
Tan Eng-Chye and Zhu Chen-Bo, Representations
of Real and p-adic Groups, Editors, Lecture Notes Series, Vol. 2, Institute for Mathematical Sciences, National
University of Singapore.
Articles in
Internationally-refereed Journals:
1.
Howe Roger and Tan Eng-Chye, Homogeneous
functions on light cones: The infinitesimal structure of some degenerate
principal series representations, Bulletin of the American Mathematical
Society (New Series), 28, No 1, 1993, 1 – 74.
2.
Tan Eng-Chye, Geometry of weight
diagrams of U(n), Transactions of the American Mathematical Society, 336,
No. 1, 1993, 173 – 192.
3.
Aslaksen Helmer, Tan Eng-Chye and Zhu Chenbo, Quivers and the invariant theory of Levi subgroups, Journal of
Functional Analysis, 120, No 1, 1994, 163 – 187.
4.
Aslaksen Helmer, Tan Eng-Chye and Zhu Chenbo, Generators and relations of 2 x 2 matrices, Communications of
Algebra, 22(5), 1994, 1821 – 1832.
5.
Aslaksen Helmer and Tan Eng-Chye, Generic
2 x 2 matrices with involution, Manuscripta Mathematica, 83, 1994, 365 –
385.
6.
Aslaksen Helmer, Tan Eng-Chye and Zhu Chenbo, Invariant theory for special orthogonal groups, Pacific Journal of
Mathematics, 168, No. 2, 1995, 207 – 215.
7.
Aslaksen Helmer, Tan Eng-Chye and Zhu Chenbo, Free resolutions of generic symmetric matrices, Linear Algebra and
Its Applications, 230, 1995, 21 – 34.
8.
Aslaksen Helmer, Tan Eng-Chye and Zhu Chenbo, On a certain ring of highest weight vectors, Journal of Algebra,
174, 1995, 159 – 186.
9.
Tan Kah-Chye, Goh Say Song and Tan Eng-Chye, A study of the rank-ambiguity issues in direction-of-arrival estimation,
IEEE Transactions on Signal Processing, 44, No. 4, April 1996, 880 – 887.
10.
Tan Kah-Chye, Tan Eng-Chye and Goh Say Song, Counterexamples to a conjecture for characterizing higher rank
ambiguities, IEEE Transactions on Signal Processing, 44, No. 4, April 1996,
1028 – 1029.
11.
Tan Eng-Chye and Zhu Chenbo, Poincare
series of holomorphic representations,
Indagationes Mathematicae, N. S., 7, No. 1, 1996, 111 – 126.
12.
Tan Eng-Chye and Tan Ser Peow,
Quadratic diophantine equations and two generator Mobius groups, Journal of
the Australian Mathematical Society (Series A), 61, 1996, 360 – 368.
13.
Tan Eng Chye and Zhu Chenbo, On
certain distinguished representations supported on null cones, American
Journal of Mathematics 120, 1998, 1059 – 1076.
14.
Annegret Paul and Tan Eng-Chye, On
the dual pairs (O(p,q),SL(2,R)), (U(p,q),U(1,1)) and (Sp(p,q),O*(4)),
Pacific Journal of Mathematics 187, 1999, no. 2, 349 – 378.
15.
Tan Eng-Chye, On the theta lift
for the trivial representation, Proceedings of Analysis on Homogeneous
Spaces and Representations of Lie Groups, Advanced Studies in Pure Mathematics
26, edited by T. Kobayashi, M. Kashiwara, T. Matsuki, K. Nishiyama and T.
Oshima, 213 – 234, 2000.
16.
Li Jian-Shu, Tan Eng-Chye and Zhu Chen-Bo, Tensor product of
Degenerate Principal series and Local Theta Correspondence, Journal of
Functional Analysis 186, 2001, 381 – 431.
17.
Li Jian-Shu, Paul Annegret, Tan Eng-Chye and Zhu Chen-Bo, The Explicit Duality Correspondence of the Dual
Pairs (O*(2n), Sp(p,q)), Journal of Functional Analysis 200, 2003, 71 – 100.
18.
Howe Roger, Tan Eng-Chye and Willenbring Jeb, Stable Branching Rules Classical Symmetric Pairs, Transactions of
the American Mathematical Society 357, 2005, 1601 – 1626.
19.
Roger
Howe, Tan Eng-Chye and Jeb Willenbring, A
Littlewood-Richardson Basis for the GL(n) Tensor Product Algebra, Advances
in Mathematics 196, 2005, no. 2, 531 – 564.
Articles in
Proceedings:
20.
Aslaksen Helmer, Tan Eng-Chye and Zhu Chenbo, On O(m) x GL(n) highest weight
vectors, Proceedings of the Symmetries in Science VIII (Bregenz 1994),
edited by Bruno Gruber, Plenum Press, 1 – 11, 1995.
21.
Aslaksen Helmer, Tan Eng-Chye and Zhu Chenbo, Invariant Theory of Matrices, Proceedings of the Symmetries in
Science VIII (Bregenz 1994), edited by Bruno Gruber, Plenum Press, 13 – 21,
1995.
National
Service:
Rank: Deputy
Superintendent of Police
Appointment: NS
Commanding Officer
Yishun South Neighbourhood Police Centre
Community and
Professional Service:
1.
Honorary Secretary,
2.
Initiated the Sattha Puchaniyaram Buddhist
Temple Bursary Awards in 1992 to help students from needy families.
3.
Initiated the
4.
Revamped the Singapore Mathematical Olympiads
in 1995 to allow more participation from students. The participants for the SMS Olympiads rose
from about 600 in 1994 to about 2000 in 1995, to the current 7500 in 2001.
5.
Initiated a new look and style for the
Mathematical Medley, a bi-annual publication of the SMS in 1995.
6.
Initiated a series of workshops for teachers
in 1998, with a view to provide guidance in the supervision and management of
mathematics projects in schools.
7.
Honorary
8.
Member, Council of the
9.
President,
10.
Member, Ministry of Education Curriculum
Committee in Mathematics, from 2002 - 2005.
11.
President, South East Asian Mathematical
Society, 2004 to 2005.