Arvind Borde

Professor of Mathematics C.W. Post Campus of Long Island University 720 Northern Blvd., Brookville, N.Y. 11548
Office: Pell Hall, 234 / Tel: (516) 299 3647

B.S., Bombay University, 1976
M.A., Ph.D., State University of New York at Stony Brook, 1982

Administrative positions

Director, Technology Center, Southampton College: 1999--2005
Director, Natural Science Division, Southampton College: 2001--2003
Webmaster, Southampton College: 1995--2000

Other positions

KITP Scholar and General Member: Kavli Institute of Theoretical Physics, University of California at Santa Barbara, 2007--2009.
Visiting Scientist: Institute of Cosmology, Tufts University, 1993--2006.
Visiting Scientist: Center for Theoretical Physics, MIT, 2001--2002.
Guest Scientist: High Energy Theory Group, Brookhaven National Laboratory, 1987--2000.
Research Associate: Relativity Group, Syracuse University, 1985--1987.
Post-doctoral Fellow: with W.G. Unruh, University of British Columbia, 1982--1985.

Interests

Mathematical aspects of the general theory of relativity, the design of computer programs, digital typography and digital document design, Web programming and design, modern design, cricket, cooking.

Current work:
The existence and nature of initial singularities in inflationary cosmology; topology change, especially in spacetimes with degenerate metrics; averaged energy conditions; nonsingular black holes.

Selected press

All about Eva. A long piece on the great ceramist Eva Zeisel, based partly on interviews with me, and illustrated by pictures of my collection, Boston Globe, June 6, 2005.
Chips Off the Old Block. A short piece on my history of computing project, Newsday, August 4, 2002.
Computers for 'Star Wars' or Just the Stars., an article on Southampton College Technology Center, an advanced computing facility, The New York Times, June 6, 1999.
A Mathematician Who Asks Questions Without Answers.
A long profile in The New York Times, April 20, 1997.

Selected work, Design

Eva Zeisel: Her Work and Life
(with Francesca Di Stefano Borde), 2005.

Selected work, Relativity

Inflationary spacetimes are incomplete in past directions
(with A.H. Guth and A. Vilenkin), Phys. Rev. Lett., Vol. 90, 151301 (2003).
Constraints on spatial distributions of negative energy
(with L.H. Ford and T.A. Roman), Phys. Rev. D Vol. 65, 084002 (2002)
Causal continuity in degenerate spacetimes
(with F. Dowker, R. Garcia, R. Sorkin and S. Surya), Class. and Quant. Grav., Vol. 16, 3457 (1999).
Creation and structure of baby universes in monopole collisions
(with Mark Trodden and Tanmay Vachaspati), Phys. Rev. D, Vol. 59, 043513 (1999).
How impossible is topology change?
Bull. Astr. Soc. India, Vol. 25, 571 (1997).
Violations of the weak energy condition in inflating spacetimes
(with Alexander Vilenkin), Phys. Rev. D, Vol. 56, 717 (1997).
Regular black holes and topology change
Phys. Rev. D, Vol. 55, 7615 (1997).
Singularities in inflationary cosmology
(with Alexander Vilenkin), Proceedings of the Sixth Quantum Gravity Seminar, Moscow, Int. J. Mod. Phys. D, Vol. 5, 813 (1996).
The impossibility of steady-state inflation
(with Alexander Vilenkin), in Relativisitic Astrophysics: the Proceedings of the Eighth Yukawa Symposium, ed. by M. Sasaki, Universal Academic Press, Japan (1995).
Open and Closed Universes, Initial Singularities and Inflation
Phys. Rev. D, Vol. 50, 3692 (1994).
Eternal Inflation and the Initial Singularity
(with Alexander Vilenkin), Phys. Rev. Lett., Vol. 72, 3305 (1994).
Geodesic Focusing, Energy Conditions and Singularities
Class. and Quant. Grav., Vol. 4, 343 (1987).
Hamiltonian Formalism for the Spin-5/2 Gauge Field
Phys. Rev. D, Vol. 26, 407 (1982).

Selected work, Computers

TeXHelp
(a hypertext encyclopedia, for DOS computers, on the computer typesetting system TeX; with Tomas Rokicki), Academic Press (1993).
Mathematical TeX by Example
(a book on the computer typesetting system TeX, with emphasis on the American Mathematical Society's version of that language), Academic Press (1992).
TeX by Example
(an introductory book on the computer typesetting system TeX), Academic Press (1991).
Arithmetica!
(an interactive program on arithmetic, encompassing topics from simple fractions to elementary number theory), distributed by Wisc-Ware, a now-defunct software division of the University of Wisconsin, and by other software groups (1990).

Courses taught

C.W. Post:

MTH 1 (Mathematics survey for non-science students), 2005, 2006.
MTH 3 (Precalculus), 2005, 2006.
MTH 5 (Linear algebra and linear programming for business), 2005, 2006.
MTH 6 (Calculus for business), 2006
MTH 15 (Mathematics for Elementary Education), 2005, 2006.
MTH 521 (Mathematics survey for non-science students), 2005, 2006.

Southampton College:

ART 400 (independent study on Web design), 1997.
CS 211 (introduction to scientific computing), 2000, 2002.
CS 111 (introduction to computer programming), 1990--1991, 1995, 1997.
DP 300 (special topics: java programming)), 1999.
MAT 400 (independent study on such topics as game theory, the uses of differential equations in biology and Web programming), 1989, 1997-1999.
MAT 399 (special topics, such as group theory and topology), 1989.
MAT 204 (differential equations), 1988, 1998.
MAT 202 (calculus II), 1988--1992, 1995--1999, 2001-2002.
MAT 201 (calculus I), 1987--1999, 2001--2003.
MAT 113 (statistics), 2003.
MAT 106 (pre-calculus), 1987--1995.
MAT 102 (introduction to college mathematics II), 1988--1991.

Elsewhere:

Independent study in general relativity (two graduate students), Syracuse University, 1987.
AST 201 and 202, Descriptive Astronomy (about 270 liberal arts students), Syracuse University, 1985--1986.
Graduate course in general relativity (12 graduate students), University of British Columbia, 1984.
Independent study in general relativity (three graduate students), University of British Columbia:1984.