
 Arvind Borde
 Senior Professor
Mathematics, Physics and Astronomy, LIU Post
720 Northern Blvd., Brookville, N.Y. 11548
 Office: PH 235 / Tel: (516) 299 2447
B.S., Bombay University, 1976
M.A., Ph.D., State University of New York at Stony Brook, 1982
Email:
arvind dot borde at liu dot edu
Current classes:
Administrative positions
 Director, Technology Center, Southampton College,
19992005
 Director, Natural Science Division, Southampton College,
20012003
 Webmaster, Southampton College,
19952000
Other academic positions
 KITP Scholar and General Member

Kavli Institute of Theoretical Physics, University of California at
Santa Barbara, 20072009.
 Visiting Scientist

Institute of Cosmology, Tufts University, 19932006.
 Visiting Scientist
 Center for Theoretical Physics, MIT, 20012002.
 Guest Scientist
 High Energy Theory Group,
Brookhaven National Laboratory,
19872000.
 Research Associate
 Relativity Group, Syracuse University, 19851987.
 Postdoctoral Fellow
 with W.G. Unruh, University of British Columbia, 19821985.
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.
Awards
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 steadystate 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 Spin5/2 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 WiscWare, a nowdefunct software division of the
University of Wisconsin, and by other software groups (1990).
Courses taught in the past
LIUPost:
 AST 10 (Introductory Astronomy II), 20152021.
 AST 9 (Introductory Astronomy I), 20142020.
 CSC 254 (Artificial intelligence), 2007.
 MTH 675 (Differential Geometry), 2018.
 MTH 521 (Linear programming), 2006.
 MTH 511 (Set theory), 2008.
 MTH 90 (Senior seminar), 2007, 20092015.
 MTH 19 (Basic statistics), 20142019.
 MTH 15 (Mathematics for elementary education), 20062008, 2009.
 MTH 7 (Calculus and Analytical Geometry I), 20132016.
 MTH 6 (Calculus for business and social science), 2006.
 MTH 5 (Linear mathematics for business and social science), 2006.
 MTH 4 (Introductory mathematics for business and social science), 2007.
 MTH 3 (College algebra and trigonometry), 2006.
 MTH 1 (Mathematics survey for nonscience students), 20052008, 20092015.
 PHY 19 (Modern Physics I), 2019, 2021.
 PHY 17 (Mechanics I), 2019.
 PHY 13 (Thermodynamics), 2020.
 PHY 12 (College Physics II), 20152021.
 PHY 11 (College Physics I), 20152020.
Southampton College:
 ART 400
(independent study on Web design), 1997.
 CORE 172 / PHIL 176 (Philosophy of Logic), 2005.
 CS 211
(introduction to scientific computing), 2000, 2002.
 CS 111
(introduction to computer programming), 19901991, 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, 19971999.
 MAT 399
(special topics, such as group theory and topology), 1989.
 MAT 204
(differential equations), 1988, 1998.
 MAT 202
(calculus II), 19881992, 19951999, 20012004.
 MAT 201
(calculus I), 19871999, 20012005.
 MAT 113
(statistics), 2003.
 MAT 106
(precalculus), 19872005.
 MAT 102
(introduction to college mathematics II), 19881991.
Elsewhere:
 A Short Tour of the Universe (through scientific literature),
Harvard Summer School, ASTR S30, 20142020
 The Birth and Early Development of Einstein's Relativity, University
of the Chinese Academy of Sciences, May 2016.
 The Spacetime Geometry of the Universe and Inflationary Cosmology, University
of the Chinese Academy of Sciences, June 2016.
 Independent study in general relativity (two graduate students),
Syracuse University, 1987.
 AST 201 and 202, Descriptive Astronomy (about 270
liberal arts students), Syracuse University, 19851986.
 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.
