BIOGRAPHICAL SKETCH AND PROFESSIONAL ACTIVITIES
RENSSELAER POLYTECHNIC INSTITUTE
Instructions: Type in the information. If you feel that there is significant information about yourself that is not covered by the listed categories, make the necessary additions. Use extra sheets if necessary.
I. Name: Chjan C. Lim
Current Rank: Professor
Department: Mathematical Sciences
School: Science
Year and rank of first academic appointment at Rensselaer (e.g. instructor, assistant, associate, or full professor). Give dates and rank for subsequent promotions.
Assistant Professor appointed September 1989 Associate Professor May 1993 – May 2002
Professor May 2002 - present
Date of Birth: May 12, 1959
Educational Preparation
(1) Baccalaureate and graduate degree(s), institution, date
Ph.D. Brown University, Div. of Applied Math 1987
M.Sc. Brown University, Div. of Applied Math 1983
B.S.E. Princeton University (with High Honors) 1982
(2) Non-degree preparation
La Salle Secondary School (grades 7-13), Petaling Jaya, Malaysia Graduated with excellent record 1978
La Salle Primary School (grades 1-6), graduated 1971
II. Professional Experience
(Give postdoctoral, teaching, industrial, governmental, and private practice experience prior to joining Rensselaer, giving position, employer, and dates.)
2004 Jan – August Williams College, Visiting Professor
2003 July – August National University of Singapore, Visiting Prof.
2002 Dec 11 – Dec 31 Universiti Malaya, Visiting Professor
2002 July 1 – August 20 National University of Singapore, Visiting Professor
2001 May – Dec National University of Singapore, Visiting Associate Professor (charged out two courses)
2000 July - Dec National University of Singapore, Visiting Associate Professor, in the Department of Computational Science (charged out one course)
1999 Summer National U. of Singapore, Visiting Associate
Professor
1999 Summer Universiti Malaya, Visiting Associate Professor
1998 Summer Courant Institute, Visiting Scientist
1997 Summer Courant Institute, Visiting Scientist
1996 May – Dec Courant Institute/Columbia University, Visiting Scientist, Sabbatical Leave
1993 - present Associate Professor, Rensselaer Polytechnic Institute
1989 - May 1993 Assistant Professor, Rensselaer Polytechnic Institute
1988 - 1989 Postdoctoral member, Institute for Mathematics and
its Applications, Minneapolis
1986 - 1989 Assistant Professor (non tenure-track), University of
Michigan, Ann Arbor
1987, 1988 Summers Visiting member, Courant Inst. of Mathematical
Sciences
1985 - 1986 Visiting Member, Rockefeller University
1985 Summer Brookhaven National Laboratory Research Associate
III. Teaching
A. Courses
(List the number and title of each course taught and approximate number of students in each course. Include undergraduate project supervision and courses that you have supervised with the number of instructors and students involved.)
Date Number Title Enrollment
Fall 1989 65.2400 Intro. Diff. Equations 67
65.4050 Advanced Calculus 71
Fall 1990 65.4050 Advanced Calculus 90
65.4070 Math Analysis I (4 cr.) 28
Spring 1991 65.4050 Advanced Calculus 90
65.4080 Math Analysis II (4 cr.) 28
Fall 1991 65.4070 Math Analysis I (4 cr.) 20
65.6110 Topology I 7
Spring 1992 65.6080 Intro to Functional Analysis 8
Fall 1992 65.2400 Intro. Diff. Equations 100
65.4070 Math Analysis I (4 cr.) 25
Spring 1993 65.4080 Math Analysis II 22
Fall 1993 65.4070 Math Analysis I 23
65.4170 Complex Analysis 6
Spring 1994 65.4080 Math Analysis II 19
65.4120 Abstract Algebra 40
Fall 1994 65.4050 Advanced Calculus 50
65.4170 Complex Analysis 15
Spring 1995 65.4120 Abstract Algebra 35
65.4050 Advanced Calculus 75
Fall 1995 65.4070 Math Analysis I 19
65.6070 Real Analysis 11
Spring 1996 65.6080 Intro to Functional Analysis 9
65.4962 Mathematics of Finance I 7
Spring 1997 65.4120 Abstract Algebra 12
65.480 Numerical Computing 47
Fall 1997 65.480 Numerical Computing 43
65.6791 Geophysical Vortex Dynamics 3
Spring 1998 65.6940 Intro. to Knot Theory 11
65.4120 Abstract Algebra 18
Fall 1998 65.4200 Math Analysis I 30
65.4100 Linear Algebra 19
Spring 1999 MATH-4170 Discrete Structures 13
Fall 1999 MATH-6300 Complex Analysis 7
Spring 2000 MATH-4120 Abstract Algebra 8
MATH-4300 Complex Analysis 19
Fall 2000 Charged out
Spring 2001 MATH-4120 Abstract Algebra 10
MATH-4740 Mathematics of Finance 12
Fall 2001 Charged out
Spring 2002 MATH-4120 Abstract Algebra 14
Fall 2002 MATH-6890 Monte-Carlo Simulations 7
MATH-4100 Linear Algebra 20
Spring 2003 MATH-4740 Mathematics of Finance 30
MATH- Arts and Science of Math 20
Fall 2003 MATH-4070 Math Analysis 1 22
MATH-Read Variational Analysis 1
Spring 04 Sabbatical Leave
Fall 2004 MATH-4040 Intro to Topology 14
MATH-6220 Intro to Functional Analysis 9
MATH-6940 Grad Researh Seminar (weekly) 3
Spring 2005 MATH-6240 Nonlinear Functional Analysis 3
MATH-6940 Grad Research Seminar (weekly) 3
MATH-9990 Dissertation 2
Fall 2005 MATH-6220 Intro to Functional Analysis 4
MATH-6890 Monte-Carlo Simulations 6
MATH-6940 Grad Researh Seminar (weekly) 3
MATH-9990 Dissertation 2
Spring 2006 MATH-6210 Real Analysis 6
MATH-9990 Dissertation 3
MATH-6940 Grad Researh Seminar (weekly) 1
Fall 2006 MATH-4740 Intro to Financial Math and Eng 10
MATH-4100 Linear Algebra 10
MATH-9990 Dissertation 2
Spring 2007 MATH-6740 Financial Math & Simulation 5
Fall 2007 MATP-4600 Probability Theory and Applic. 25
MATH-4740 Intro to Financial Math and Eng 8
B. Student Thesis Supervision
Undergraduate Research Supervision:
Summer 1993 Gary Gunn Combinatorial Linear Algebra
Fall 1995 Carlos Salazar-Lazaro Qualitative Matrix Theory
Frank Turner Qualitative and Computational Matrix Theory
Spring 1996 Frank Turner Qualitative and Computational Matrix Theory
Spring 1997 Carlos Salazar-Lazaro Nonsingular Sign Patterns
Fall 1997 Carlos Salazar-Lazaro Nonsingular Sign Patterns
Fall 1998 Carlos Salazar-Lazaro A Genetic Algorithm for Nonsingular Sign-
Pattern
Fall 1999 Jaime Haletky Nonsingular sign-patterns
Spring 1999 Jaime Haletky Nonsingular sign-patterns
1. Thesis Completed
(List student's name, title of thesis and year completed.)
a. Bachelors
Syed Mohd. Assad B.Sc Honors National U. of Singapore
b. Masters
Carlos Salazar-Lazaro M.Sc. Thesis, May 1999
Rajendar Singh Mavi May 2006
III. Teaching (continued)
Student Thesis Supervision
c. Doctoral
Thesis Supervisor
(After listing these, add number of theses in which you participated as a committee member.) See attached dissertation research plans for:
I-Heng McComb - Ph.D., May 1993, awarded thesis prize 1993
David Schmidt - Ph.D., May 1995
Gregg Van Patten - Ph.D., May 2001
Joseph Nebus - Ph.D. May 2003
Timothy Andersen - current PhD student, qualifying exam passed Dec 2005, candidacy exam passed Sept 06, thesis defended May 2007
Xueru Ding - current PhD student, qualifying exam passed Dec 2005, candidacy exam passed Dec 06, defended june 2008
Member of Dissertation Committee for:
Ramamurthy (Computer Science) Ph.D candidate March 1994
Nancy Lawson (Computer Science) Ph.D candidate 1996
Luis Cruz (Electrical Engineering) Ph.D candidate 2000
Jairam Kalyanasundharam (ECSE) Ph.D candidate 2005,
Nicholas Mackham (CS) PhD candidate 2005
III. Teaching
C. Course and Curriculum Development
At the University of Michigan, Ann Arbor, 1986-1988:
(a) New course on celestial mechanics and dynamical systems.
(b) Development of a graphics-integrator package for instruction purposes in differential equations courses.
RPI, Spring 1990 Graduate research seminars on dynamical systems and celestial mechanics.
RPI, Spring 1996 New Course 65.4962 on Mathematical Finance
RPI, Fall 1997 New Course 65.6791 on Geophysical Vortex Dynamics
RPI, Spring 1998 New Course on Knot Theory
NUS, Fall 2001 New Course on Monte Carlo Simulations and Molecular
Dynamics;
RPI, Fall 2002 New Graduate Course on Monte Carlo Simulations
Fall 2003 New one year sequence in Math and Comp. Finance
IV. Publications
A. Books, Monographs
(Give title, co-authors if any, publisher, date. State if a contributing author to an edited compilation.)
Vortices, Statistical Mechanics and Simulations, Springer-Verlag, Monographs in Math, by Chjan Lim and Joseph Nebus, published 2006.
Recent Advances on Vortex dynamics and Turbulence, eds. Chjan Lim and K.K. Tung, Special Issue of Discrete and Continuous Dyn. Sys., Vol 5 (1), Feb 2005,
“Variational methods and applications”, eds. Chjan Lim, Mitsuharu Otani and Junping Shi, Special Issue of Discrete and Continuous Dyn. Sys. A, 2007.
Comparison of Experiment with the Dynamics of the von Karman Vortex Trail, with L. Sirovich in Studies of Vortex Dominated Flows, eds. M. Y. Hussaini and M. Salas, Springer-Verlag 1986, 44-60.
On Hamiltonian Singularities and Applications, in Diff. Equations and Applications II eds. A. R. Aftabizadeh, Ohio U. Press, 1988, 140-145.
B. Journal Articles
(Give title, co-authors if any, journal, volume, issue, date, paging. List spin-offs, (i.e., publications essentially on same piece of work) from a major work under the major item. Provide copies for at least the past six years of all journal articles, abstracts, and book reviews if they are not already with the department file. This list should also contain articles accepted but not yet in print and those submitted and not yet reviewed.)
1. In refereed journals (articles which are reviewed by peers in the field prior to publication).
(a) Major articles (classified into separate areas and * denote spin-offs)
(A) Vortex Dynamics
1 Nonlinear vortex trail dynamics, with L. Sirovich, Physics Fluids 31 (1988), 991-998.
2 Nonlinear vortex trail dynamics. II. Analytic solutions, with L. Sirovich, Q. Applied Math., Vol. LI (1) 129-146, (1993).
3 Wave propagation on the von Karman vortex trail, with L. Sirovich, Physics Fluids 29, (1986), 3910-3911.
4 Bounded and unbounded solutions of the von Kármán vortex trail, with L. Sirovich, Q. Applied Math. Vol. XLVII (3) (1989), 447-458.
(B) Equivariant, Time-Reversible Dynamics and Applications
5 Periodic solutions for three sedimenting spheres, with R. Caflisch, J. Luke and A. Sangani, Physics Fluids 31 (1988), 3175-3179.
6 Time-reversibility and particle sedimentation, with M. Golubitsky and M. Krupa, SIAM J. Applied Math. 51(1), 49-72 (1991).
7 Rotating waves for semiconductor inverter rings, with J. Pimbley, C. Schmeiser, D. Schwendeman, SIAM J. Appl. Math. 52(3), 676-690, 1992.
8 Stability of equilibria for a class of time-reversible, -symmetric homogeneous vector fields, with I-H McComb, SIAM J. Math. Analysis, 24 (4), 1009-1029, 1993.
9 Stability of normal modes and subharmonics in the 3-body Stokeslet problem, with I-Heng McComb, J. Differential Equation, 121(2), 384-405, 1995.
10 Resonant normal modes for time-reversible equivariant systems, with I-Heng McComb, J. Dynamical System & Differential Equations, 7(2), 287-339, 1995.
11 Two Typical Steady-State Bifurcations for Time-Reversible Vector Field Families, J. Dynamics & Differential Equations, 13(2), 251-274, 2001.
12 Time-reversible and equivariant pitchfork bifurcation. Time-reversal symmetry in dynamical systems, Proc. Int'l Workshop on Time-reversal Problems, Math. Research Center, U. of Warwick, Coventry, England - December 1996. Physica D112 (1-2), 117-121, 1998.
13 1-1 semisimple Hamiltonian Hopf Bifurcation in Vortex Dynamics, Hamiltonian Dynamical Systems, 217 – 220, IMA Vol. Math. Appl. 63, Springer, 1995
(C) Combinatorial - Hamiltonian Methods
14 Singular manifolds and quasi-periodic solutions of Hamiltonians for vortex lattices, Physica 30 D (1988), 343-362.
15 Existence of KAM tori in the phase-space of lattice vortex systems, Zeitschrift fur Angewandte Mathematik und Physik, 41 (1990), 227-244.
16 A combinatorial perturbation method and Arnold whiskered tori in vortex dynamics, Physica 64D, 163-184, 1993.
17 On singular hamiltonians: existence of quasi-periodic solutions and nonlinear stability, AMS Bull. 20 (1) (1989), 35-40.
18 Quasi-periodic dynamics of desingularized vortex models, Physica 37 D 1989, 497-507.
19 Nonexistence of Lyapunov functions and the instability of the von Kármán vortex streets, Physics of Fluids A5 (9), 2229-2233, 1993.
20 2-D equilibrium states in superfluid vortex dynamics, Phys. Lett. A 174, 119-121, 1993.
(D) Graph theory, Combinatorial Matrix theory and Applications
21 Binary trees, symplectic matrices and the Jacobi coordinates of celestial mechanics, Arch. Rat. Mech. Anal. 115 (1991), 153-165.
22 Canonical transformations and graph theory, Physics Letters A, 138 1989, 258-266.
23 Graph theory and a special class of symplectic transformations: the generalized Jacobi variables, J. Math. Phy 32(1), 1-7, (1991).
24 Nonsingular sign-patterns and the orthogonal group. Linear Algebra and its Applic., 184, 1-12 1993.
25 Full sign-invertibility and symplectic matrices, with D. Schmidt, Linear Algebra and Applic., 232, 97-110, 1996.
26 On noneven digraphs and symplectic matrices, with D. Schmidt, Bull. Malaysian Math. Soc., 18(2), 71-85, 1995.
27 Kastelyn's theorem and noneven symmetric digraphs, Congr. Numer., Vol. 121, 231-242, 1996.
28 Vortex dynamics, combinatorics and statistics, Vortex flows and related numerical methods II, 169 – 180, ESAIM Proc., 1, Soc. Math. Appl. Indust., Paris, 1996.
http://www.emath.fr/Maths/Proc/Vol.1/lim.htm.
29 New proofs of the uniqueness of noneven digraphs with the most number M(n) of arcs and M(n)-1 arcs, Congr. Numer. Vol 127, 129 – 142, 1997.
30 New proofs of the uniqueness of extremal and new extremal noneven digraphs (with G. van Patten) in Bul.Malaysian Math. Soc., 24(2), 2001, 1-18.
(E) Turbulence, Statistical Physics and Variational Problems
31 Relative equilibria of symmetric N-body problems on a sphere: inverse and direct results. Comm. Pure & Applied Math., Vol. 51, 341-371, 1998.
32 Mean field theory and coherent structures for vortex dynamics on the plane, Phys. Fluids, 11(5), 1201-1207 (1999).
33 On the spatial structure of stationary patterns in a class of reaction-diffusion systems, (with J. Yan), Dynam. Contin. Discrete Impuls. Systems 3 (2), 131 – 150, 1997.
34 Relative equilibria of point vortices on a sphere, with James Montaldi and Mark Roberts, Physica D148, 97-135, 2001.
.
35 A long range spherical model for the 2-D Euler equations and exact solutions of the energy-enstrophy theory, Phys. Fluids, July 2001 vol 13(7), pages 1961-1973.
36 A coupled quasi-geostrophic surface temperature, potential vorticiy model for open ocean convection, with Andy Majda, Geophysical and Astronomy Fluid Dynamics, Vol 94, Issues 3-4, pp 177-220, August, 2001.
37 Exact solutions of the energy-enstrophy theory for the barotropic vorticity equation on a sphere, Physica A, 290, 131-158, 2001.
38 A microscopic derivation of the energy density spectrum for barotropic turbulence on a sphere, Physica A, 294, 375 – 387, 2001.
39 Coherent structures in a energy-enstrophy theory for axisymmetric flows, Physics of Fluids 15(2), 478-487, 2003
40 Energy maximizers, negative temperature and robust symmetry-breaking in vortex dynamics on a non-rotating sphere, SIAM J. Appl. Math., 65 (2005), pp. 2093--2106.
41 Variational analysis of energy-enstrophy theories on a sphere (with Zhu Da), Discrete and Cont. Dyn. Sys B Suppl, 611-620, 2005.
42 C C Lim, S M Assad, "Self containment radius for rotating planar flows, single-signed vortex gas and electron plasma", Regular. Chaotic Dyn., 2005, 10(3), 239-255.
(F) Computational Science and Statistics of Macroscopic Flows – Monte Carlo simulations and exactly-solvable models