WELCOME!
TEACHING
CURRENT SCHEDULE
Note: Students enrolled in my courses should log into WebCT for complete access to course
materials.
Summer 2007
- Math 01.522.1 History of Math (May 15-July 5): Click
here for syllabus
- Hybrid asynchronous online graduate course
- Three on-campus meetings:
First Meeting: Tuesday, May 15, 6-8pm (2-hour introductory
meeting), Robinson 324
Second Meeting: Tuesday, June 5, 6-8pm (includes 1-hour midterm
exam) Robinson 324
Third Meeting: Monday, July 2, 6-9pm (3-hour presentation of talks)
Robinson 324
Spring 2007
- Math 01.230.1 Calculus III, M 1:45-2:35pm, TR 1:45-3pm, Robinson
324
- Math 01.533.1 Graduate Math Seminar, T 6:30-9pm, Robinson 225
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11:15am-12pm
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Office Hours
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12:30-1:15pm
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Office Hours
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1:45-3pm
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Math 01.230.1
Calculus III
Robinson 324
(1:45-2:35pm)
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Math 01.230.1
Calculus III
Robinson 324
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Math 01.230.1
Calculus III
Robinson 324
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2:45-3:15pm
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Office Hours
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5:30-6pm
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Office Hours
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5:45-6:15pm
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6:30-9pm
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Math 01.533.1
Graduate Math Seminar
Robinson 225
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Note: I am also available by
appointment
PREVIOUS COURSES TAUGHT
EDUCATIONAL TRAINING
Ph.D. Math (1996), University
of California - Berkeley (thesis
advisor: Joseph A. Wolf)
B.S. Mathematics and B.S. Electrical Engineering
(1990), University
of Minnesota - Twin
Cities
MATHEMATICAL
RESEARCH
My Interests:
- MSC: 22EXX Lie Groups, 53CXX Global Differential Geometry, 35Q51
Solitons, 11MXX (Zeta Functions)
- I am currently collaborating with my colleague, Abdul Hassen, to
study hypergeometric zeta functions, a generalization of the classical
Riemann zeta function based on its integral definition, and their
connections to Bernoulli polynomials.
See our preprints below.
- My other interests include solitons, in particular understanding
soliton interaction in terms of particle decay and the corresponding
interaction between ghost particles, and Lie groups and differential
geometry, where I have studied weakly symmetric spaces (a generalization
of Elie Cartan's
symmetric spaces) and tried to understand their connections to a well
known circle of ideas: Gelfand pairs, spherical pairs, spherical
varieties, commutativity of invariant
differential operators, multiplicity-free actions (both in the sense of
representation theory and symplectic
geometry).
Research
Papers
- Hypergeometric Bernoulli
Polynomials and Appell Sequences (with
Abdul Hassen), to appear in Intern. J. Number Theory. [PDF]
- Rearing Its Ugly Head: The Cosmological Constant and Newton’s Greatest
Blunder, to appear in the Monthly. [PDF]
- The Error Zeta Function (with Abdul Hassen), to appear in Intern. J. Number Theory. [PDF]
- A Zero Free Region for
Hypergeometric Zeta Functions (with Abdul Hassen), Preprint (2005). [PDF]
- Hypergeometric Zeta
Functions
(with Abdul Hassen), Preprint (2005). [PDF]
- Soliton Collisions and
Ghost Particle Radiation, Journal of Nonlinear
Mathematical Physics, 11
(2004), No. 2, pp. 180-198: http://www.sm.luth.se/~norbert/home_journal/electronic/v11n2.html [Postscript] [PDF]
- Decay of KdV Solitons, SIAM Journal on Applied Mathematics, 63 (2003),
No. 3, pp. 874-888: http://siamdl.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=SMJMAP000063000003000874000001&idtype=cvips&gifs=Yes [Postscript] [PDF]
- Polar Isotropy Actions on Compact Weakly Symmetric Spaces,
Preprint (2001). [PDF]
- Compact weakly symmetric spaces and spherical pairs, Proceedings of the
American Mathematical Society 128
(2000), No. 11, pp. 3425-3433: http://www.ams.org/proc/2000-128-11/S0002-9939-00-05425-3/home.html
[PDF]
- Characterizing weakly symmetric spaces as Gelfand
pairs,
Journal of Lie Theory 9 (1999),
No. 2, pp. 285-291: http://www.emis.de/journals/JLT/vol.9_no.2/1.html
[PDF]
- Tautochrones on Riemannian Manifolds,
Preprint (1998). [PDF]
- Weakly symmetric spaces and bounded symmetric
domains,
Transformation Groups 2 (1997),
No. 4, pp. 351-374. [PDF]
- Weakly symmetric spaces and bounded symmetric
domains, Ph.D. Thesis (1996). [Postscript] [PDF]
Educational Papers
- Linkages as Applied to Protein Folding (with James Factor),
Preprint (2006). [PDF]
Recent Talks
- How
Bernoulli Did It: Sums of Powers, Generating Functions, and Bernoulli
Numbers, Rowan Math Seminar,
10-11-06: [PDF]
- A
Half-Marriage in Error: When Zeta Integrates a Gaussian, MAA-NJ Section Meeting Spring 2006, 4-8-06: [PDF]
- Newton’s
“Greatest Blunder”: His
theorem on revolving orbits and failed calculation of lunar precession, Rowan Math Seminar,
3-1-06: [PDF]
- The Search for Nothing: A zero-free region of
hypergeometric zeta, Rowan Math Seminar, 10-5-05: [PDF]
- Newton’s Greatest Blunder, MathFest 2005, 8-5-05
- Hypergeometric Zeta Functions, Joint Math Meetings,
1-5-05: [PDF]
- Hypergeometric Zeta Functions, Rowan Math Seminar,
9-29-04
- Solitons: From Canal Water Waves to Molecular
Lasers, Philadelphia IEEE Night, 5-20-03