
AMS Meeting Full Program
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International Joint Mathematics Meeting
Vancouver, British Columbia Canada, August 1519, 1993
Meeting #883
Associate secretaries: Lance W Small, AMS lwsmall@ucsd.edu
Kenneth A Ross, MAA ross@math.uoregon.edu
Friday August 13, 1993
Saturday August 14, 1993
Sunday August 15, 1993

Sunday August 15, 1993, 9:15 a.m.9:30 a.m.
Welcome Address

Sunday August 15, 1993, 9:35 a.m.10:25 a.m.
MAA Invited Address
Means, iterations, and experimentally induced identities.
Jonathan M. Borwein*, Simon Fraser University
(88300505)

Sunday August 15, 1993, 10:55 a.m.11:45 a.m.
AMSCMS Invited Address
Harmonic analysis techniques for higher order elliptic operators.
Jill C. Pipher*, Brown University
(88300504)

Sunday August 15, 1993, 1:15 p.m.2:05 p.m.
MAA Earle Raymond Hedrick Lectures: Lecture I
Recent developments in geometry and physics.
Sir Michael Atiyah*, Trinity College, United Kingdom
(88300514)

Sunday August 15, 1993, 2:20 p.m.3:50 p.m.
MAA Teaching Award Presentations

2:20 p.m.
V. Frederick Rickey, Bowling Green State University
Doris W. Schattschneider, Moravian College
Philip D. Straffin, Jr., Beloit College

Sunday August 15, 1993, 2:30 p.m.4:55 p.m.
AMS Special Session on Problems in Number Theory in Memory of E.G. Straus, I

2:30 p.m.
Some problems of E.G. Straus.
M. V. Subbarao*, University of Alberta
(8831170)

2:55 p.m.
Thoughts on number theory.
Basil Gordon*, University of California, Los Angeles
(88311304)

3:20 p.m.
The generalized Fibonacci numbers combined with the generalized Pascal triangle.
Joseph Arkin, United States Military Academy
David C. Arney, United States Military Academy
Frank R. Giordano, United States Military Academy
Rickey A. Kolb*, United States Military Academy
(88311281)

3:45 p.m.
Operators that take sequences to diagonals of their difference triangles.
Edith H. Luchins*, Rensselaer Polytechnic Institute
Russell J. Hendel, Morris College
(88311193)

4:10 p.m.
Primitive pythagorean triples viewed in the light of the general theory of the sum of two squares.
Irving Adler*, North Bennington, Vermont
(8831103)

4:35 p.m.
On simultaneous nonhomogeneous Diophantine equations.
Murray S. Klamkin*, University of Alberta
(88311181)

Sunday August 15, 1993, 2:30 p.m.5:50 p.m.
AMS Special Session on Discrete Geometry and Convexity, I

2:30 p.m.
Kissing number.
Andras Bezdek*, Hungarian Academy of Sciences, Hungary and Auburn University, Auburn
(88352219)

3:00 p.m.
Subdivisions of the product of two simplices and the Newton polytope of the product of all minors of an m x n matrix.
Louis J. Billera*, Cornell University
(88352240)

3:30 p.m.
Convexly independent sets and points.
T. Bisztriczky*, University of Calgary
(88352245)

4:00 p.m.
Some oriented 2manifolds can not be embedded in the 2skeleton of any convex 4polytope.
Amos Altshuler, BenGurion University of the Negev, Israel
Juergen Bokowski*, University of Darmstadt, Germany
Peter Schuchert, University of Darmstadt, Germany
(88352221)

4:30 p.m.
Tomography of convex and star bodies.
R. J. Gardner*, Western Washington University
A. Vol\v ci\v c, University of Trieste, Italy
(88352157)

5:00 p.m.
Hexagonal circle packings in the plane.
Burt Rodin*, University of California at San Diego, La Jolla
(88330242)

5:30 p.m.
Polyhedral surfaces.
Ulrich Brehm*, Technical University of Berlin,
(88352299)

Sunday August 15, 1993, 2:30 p.m.6:00 p.m.
AMS Special Session on Symplectic Geometry, I

2:30 p.m.
Hamiltonian control system on bundles.
P. S. Krishnaprasad*, University of Maryland, College Park
(88393196)

3:30 p.m.
Global geometry of the Euler top.
Richard H. Cushman*, Rijksuniversiteit Utrecht, The Netherlands
(8835823)

4:00 p.m.
Reduction and reconstruction of symmetries.
Jedrzej Sniatycki*, University of Calgary
(8837045)

4:50 p.m.
On symplectic submanifolds of cotangent bundles.
Mark J. Gotay*, University of Hawaii, Honolulu
(88353168)

5:20 p.m.
Principal affine varieties and imploded crosssections.
Reyer Sjamaar*, Massachusetts Institute of Technology
(88358293)

Sunday August 15, 1993, 2:30 p.m.5:45 p.m.
AMS Special Session on Exponential Families in Mathematical Statistics, I

2:30 p.m.
The diagonal natural exponential families.
Gerard Letac*, University Paul Sabatier, France
(88362202)

3:05 p.m.
Orthogonal polynomials associated with the diagonal natural exponential families in R 2.
ILi Lu*, Bureau of the Census, Washington, DC
Donald Richards, University of Virginia
(8836061)

3:40 p.m.
On a characterization of variance functions of natural exponential families.
Daoud Bshouty*, TechnionIsrael Institute of Technology, Israel
(8836227)

4:15 p.m.
The 2n+4 simple quadratic types of natural exponential families in R^n.
Muriel Casalis*, University Paul Sabatier, France
(88362203)

4:50 p.m.
Lie groups and quadratic variance functions.
Philip Feinsilver*, Southern Illinois University, Carbondale
(88360322)

5:25 p.m.
On regular variation of variance functions and convergence of infinitely divisible exponential dispersion models.
Jose Raul Martinez*, National University of Cordoba, Argentina
(88362185)

Sunday August 15, 1993, 2:30 p.m.4:50 p.m.
AMS Special Session on Algebraic and Geometric Methods in Control Theory, I

2:30 p.m.
Optimal control and vakonomic mechanics.
Anthony M. Bloch*, Ohio State University, Columbus
(8833453)

3:00 p.m.
Convexity of solutions of nonlinear PDE's.
Omar Hijab*, Temple University, Philadelphia
(88335187)

3:30 p.m.
A PDE problem in estimation algebra.
RuiTao Dong*, Johns Hopkins University
(88353214)

4:00 p.m.
Classification of finite dimensional filters.
Stephen S.T. Yau*, University of Illinois, Chicago
(8839305)

4:30 p.m.
Geometric invariants for control systems.
William Shadwick, The Fields Institute
Richard Atkins*, The Fields Institute
(88393171)

Sunday August 15, 1993, 2:30 p.m.4:30 p.m.
MAA Minicourse \#1: Part A
The Fibonacci and Catalan numbers
Ralph P. Grimaldi, RoseHulman Institute of Technology

Sunday August 15, 1993, 2:30 p.m.4:30 p.m.
MAA Minicourse \#2: Part A
Teaching applied mathematics via Maple
Robert J. Lopez, RoseHulman Institute of Technology

Sunday August 15, 1993, 2:30 p.m.6:00 p.m.
AMS Session on Graph Theory and Combinatorics

2:30 p.m.
On the chromatic number of geometric graphs on the integer lattice.
Carolyn R. Mahoney*, California State University, San Marcos
Kiran B. Chilakamarri, Central State University, Ohio
(88305320)

2:50 p.m.
On the hull number of a graph.
Frank Harary*, New Mexico State University, Las Cruces
(88305321)

3:10 p.m.
Algebraic coding theory: New developments.
N. J. A. Sloane*, AT&T Bell Laboratories, Murray Hill, New Jersey
(88394307)

3:30 p.m.
A slick new way of getting the formulas for the sums of the powers of the integers and a lot more.
Donald R. Snow*, Brigham Young University
(88305256)

3:50 p.m.
Evacuation of labelled graphs.
Claudia Malvenuto*, University of Quebec at Montreal
(88305163)

4:10 p.m.
The minimal length of a permutation as a product of transpositions.
George Mackiw*, Loyola College in Maryland
(88305204)

4:30 p.m.
The harmonious chromatic sequence of a graph.
David Moser*, Manchester College
(88305276)

4:45 p.m.
The optimal placement of replicas along a straight line.
Irwin Pressman*, Carleton University
(88315251)

5:05 p.m.
Using the multilinear extension of a game.
Kathy Hoke*, University of Richmond
(88390258)

5:20 p.m.
Borromean frames.
William W. Chernoff*, University of New Brunswick,
(88351287)

5:35 p.m.
Bisectors of triangles and tetrahedra.
William A. Beyer*, Los Alamos National Laboratory
(88351303)

5:50 p.m.
Complex triangle functions and centres of triangles.
J. A. Lester*, University of New Brunswick, Fredericton
(88351177)

Sunday August 15, 1993, 2:30 p.m.5:00 p.m.
AMS Session on Algebra

2:30 p.m.
Two Noetherian properties of rings satisfying (accr).
Sylvia C. Lu*, University of Colorado, Denver
(88313198)

2:50 p.m.
Fixed fields of some unipotent groups.
ShouJen Hu*, Tamkang University, Republic of China
(8831338)

3:10 p.m.
On isomorphisms of regular selfinjective rings.
R. M. Raphael*, Concordia University
W. D. Burgess, University of Ottawa
(88316259)

3:30 p.m.
Some forms of E_8.
George B. Seligman*, Yale University
(88317210)

3:50 p.m.
Products of involutions in SL(n,A).
Francis A. Arlinghaus*, Youngstown State University
(88320318)

4:10 p.m.
Nonmeasurable dense subsets of compact groups.
Gerald Itzkowitz*, Queen's University
Dmitri Shakhmatov, Moscow State University, Russia
(88322216)

4:30 p.m.
Factors of period polynomials for finite fields,II.
Stan Gurak*, University of San Diego
(88311275)

4:50 p.m.
Negatively curved groups have the convergence property.
Eric M. Freden*, Brigham Young University
(8832047)

Sunday August 15, 1993, 2:30 p.m.4:45 p.m.
MAA Session on Mathematics and Industry Interface, I

2:30 p.m.
Welcoming remarks, Brian Alspach

2:40 p.m.
Cooperative education in mathematics.
Kerstin Baxter*, Simon Fraser University
(88300434)

3:10 p.m.
Cantor's paradise lost.
James Dukarm*, DeltaX Research, British Columbia
(88300435)

4:00 p.m.
Employment in environmental mathematics.
Roy Leipnik*, University of California, Santa Barbara
(88300436)

4:25 p.m.
Comments from audience

Sunday August 15, 1993, 4:00 p.m.4:50 p.m.
Blumenthal Award and Address

Sunday August 15, 1993, 4:00 p.m.6:00 p.m.
SUMMA Workshop
Intervention projects for minority precollege students

Sunday August 15, 1993, 4:00 p.m.6:00 p.m.
MAA Section Officers

Sunday August 15, 1993, 4:45 p.m.6:45 p.m.
MAA Minicourse \#3: Part A
Environmental modeling via the qualitative, visual, and computational
B.A. Fusaro, Salisbury State University

Sunday August 15, 1993, 4:45 p.m.6:45 p.m.
MAA Minicourse \#4: Part A
Implementing the Harvard calculus curriculum
Wayne Raskind, University of Southern California
Monday August 16, 1993

Monday August 16, 1993, 8:30 a.m.9:20 a.m.
AMSCMSMAANAM Invited Address
Mathematical research and education in Africa  problems and prospects.
Adermi O. Kuku*, University of Ibadan, Nigeria
(88300510)

Monday August 16, 1993, 9:50 a.m.10:50 a.m.
Colloquium Lectures: Lecture I
On the regularity properties of gauge theories in Minkowski spacetime.
Sergiu Klainerman*, Princeton University
(88300518)

Monday August 16, 1993, 11:05 a.m.11:55 a.m.
AMSCMS Invited Address
Frontiers in complex dynamics.
Curt McMullen*, Princeton University
(88300502)

Monday August 16, 1993, 12:15 p.m.12:45 p.m.
AMS Business Meeting

Monday August 16, 1993, 1:25 p.m.2:15 p.m.
MAA Earle Raymond Hedrick Lectures: Lecture II
Recent developments in geometry and physics: 3dimensions.
Sir Michael Atiyah*, Trinity College, United Kingdom

Monday August 16, 1993, 2:30 p.m.3:20 p.m.
MAA Invited Address

Monday August 16, 1993, 2:30 p.m.4:55 p.m.
AMS Special Session on Problems in Number Theory in Memory of E.G. Straus, II

2:30 p.m.
Two problems in memory of E. G. Straus.
Paul Erd\H os*, AT&T Bell Laboratories, Murray Hill, New Jersey
(88311174)

2:55 p.m.
Utterly integer valued entire functions. II.
Daihachiro Sato*, University of Regina
(88311184)

3:20 p.m.
The first column of a Stolarsky interspersion.
Clark Kimberling*, University of Evansville
(88311285)

3:45 p.m.
Researches on recursive series.
Joseph Arkin*, United States Military Academy
David C. Arney, United States Military Academy
(88311284)

4:10 p.m.
Some general problems on the number of parts in partitions.
Bruce Richmond*, University of Waterloo
(88311217)

4:35 p.m.
Problems of Ernst Straus.
Richard K. Guy*, University of Calgary
(88311173)

Monday August 16, 1993, 2:30 p.m.4:50 p.m.
AMS Special Session on Discrete Geometry and Convexity, II

2:30 p.m.
Projection functions on higher ranking Grassmannians.
Paul Goodey*, University of Oklahoma
Rolf Schneider, LudwigsUniversitat, Germany
Wolfgang Weil, Universitat Karlsruhe, Germany
(88352227)

3:00 p.m.
Convexity on affine Grassmann manifolds.
Jacob E. Goodman*, City College, City University of New York
Richard Pollack, New York UniversityCourant Institute
(88352246)

3:30 p.m.
On the complexity of computing mixed volumes.
Martin Dyer, University of Leeds, United Kingdom
Peter Gritzmann*, University of Trier, Germany
Alexander Hufnagel, University of Trier, Germany
(88352298)

4:00 p.m.
Nonconvex polyhedra.
Branko Grunbaum*, University of Washington
(88352248)

4:30 p.m.
Blichfeldt's density bound revisited.
G\'abor Fejes T\'oth, Hungarian Academy of Sciences, Hungary
Wlodzimierz Kuperberg*, Auburn University, Auburn
(88352206)

Monday August 16, 1993, 2:30 p.m.5:00 p.m.
AMS Special Session on Symplectic Geometry, II

2:30 p.m.
A few remarks on Poisson cohomology.
Viktor L. Ginzburg*, Stanford University
(88353263)

3:30 p.m.
Equivariant Mp^c prequantization.
Paul Robinson*, University of Florida
(8835868)

4:15 p.m.
Singular reduction for nonzero values of momentum.
Judith M. Arms*, University of Washington
(88358169)

4:40 p.m.
Hopf algebra cocycles and Poisson structures on Lie groups.
JiangHua Lu*, Massachusetts Institute of Technology
(88358323)

Monday August 16, 1993, 2:30 p.m.4:35 p.m.
AMS Special Session on Exponential Families in Mathematical Statistics, II

2:30 p.m.
Exponential families and Orlicz spaces.
Sandy Zabell*, Northwestern University
(88362302)

3:05 p.m.
Curved exponential models and inference.
O. E. BarndorffNielsen*, Aarhus University, Denmark
(88362241)

3:40 p.m.
CramerRao type lower bound for estimators with values in a manifold.
Harrie Hendriks*, Catholic University Nijmegen, The Netherlands
(8836233)

4:15 p.m.
Some properties of the Wishart distribution on symmetric cones.
Helene Massam*, York University
Erhard Neher, University of Ottawa
(88362228)

Monday August 16, 1993, 2:30 p.m.4:50 p.m.
AMS Special Session on Algebraic and Geometric Methods in Control Theory, II

2:30 p.m.
Kronecker indicies are diffeomorphism invariants.
Robert B. Gardner*, University of North Carolina, Chapel Hill
(8834940)

3:00 p.m.
Linearquadratic control problem revisited.
Tomasz R. Bielecki*, University of Illinois, Chicago
(8839341)

3:30 p.m.
A HartmanGrobman theorem for abstract equations.
Peter W. Bates*, Brigham Young University
Kening Lu, Brigham Young University
(8833471)

4:00 p.m.
Explicit construction of finite dimensional nonlinear filters with state space dimension 2.
Stephen S.T. Yau, University of Illinois, Chicago
Wen Lin Chiou*, Fu Jen University, Republic of China
(88317159)

4:30 p.m.
Feedback stabilizability of nonlinear systems in dimension three or higher.
William M. Boothby*, Washington University
Riccardo Marino, University of Rome II, Italy
(88393182)

Monday August 16, 1993, 2:30 p.m.4:30 p.m.
MAA Minicourse \#1: Part B
The Fibonacci and Catalan numbers
Ralph P. Grimaldi, RoseHulman Institute of Technology

Monday August 16, 1993, 2:30 p.m.4:30 p.m.
MAA Minicourse \#2: Part B
Teaching applied mathematics via Maple
Robert J. Lopez, RoseHulman Institute of Technology

Monday August 16, 1993, 2:30 p.m.4:30 p.m.
MAA Minicourse \#5: Part A
Teaching finite mathematics to a large class of arts and education students
J. Chris Fisher, University of Regina

Monday August 16, 1993, 2:30 p.m.5:10 p.m.
AMS Session on Mathematical Physics

2:30 p.m.
Unsteady flow of a viscous, incompressible fluid past an impulsively started flat plate.
Alka Chandna*, Memorial University of Newfoundland, Newfoundland
S. C. R. Dennis, University of Western Ontario
(88376289)

2:45 p.m.
A numerical solution to the inverse heat conduction problem in an annulus.
Shishen Xie*, University of HoustonDowntown
(88380300)

3:05 p.m.
On formal integrals of motion in a Hamiltonian system.
Mark Solomonovich*, BenGurion University of the Negev, Israel
Yair Zarmi, BenGurion University of the Negev, Israel
(88370195)

3:20 p.m.
The Rattleback: A rolling rigid body which spins in one direction only.
Joost Hermans*, University of Utrecht, The Netherlands
(8837026)

3:35 p.m.
The abstract Lorentz group and the automorphism group of the unit ball in a complex inner product space.
Abraham A. Ungar*, North Dakota State University
(8838307)

3:50 p.m.
Old and new results in YangMills theory.
Jedrzej Sniatycki*, University of Calgary
(8838146)

4:10 p.m.
Topological censorship.
John L. Friedman, University of Wisconsin, Milwaukee
Kristin Schleich*, University of British Columbia
Donald M. Witt, University of British Columbia
(88383166)

4:25 p.m.
The use of conformal mapping in constructing a model of the solar magnetic field.
J. R. Hundhausen*, Colorado School of Mines
B. C. Low, National Center for Atmospheric Research, Boulder, Colorado
(88385252)

4:40 p.m.
Towards a unified field theory.
Mohamed W. I. Sesay*, University of the District of Columbia
(8835865)

5:00 p.m.
On the force between rotating coaxial black holes.
Gilbert Weinstein*, University of Alabama, Birmingham
(8838350)

Monday August 16, 1993, 2:30 p.m.4:45 p.m.
MAA Session on History of Mathematics, I

2:30 p.m.
Sophie Germain's contribution to Fermat's last theorem: Some unanswered questions.
Reinhard Laubenbacher*, New Mexico State University, Las Cruces
David J. Pengelley, New Mexico State University, Las Cruces
(88300409)

2:55 p.m.
The remarkable tenacity of random triangles.
Richard E. Pfiefer*, San Jose State University
(88300412)

3:20 p.m.
A chronology of the duplicatrix.
Daniel E. Otero*, Xavier University
(88300411)

3:40 p.m.
Break

4:00 p.m.
The role of the history of mathematics in the undergraduate curriculum.
Herbert E. Kasube*, Bradley University
(88300407)

4:25 p.m.
Using history to spark interest in mathematics for liberal arts students.
Kay Gura*, Ramapo College, New Jersey
(88300403)

Monday August 16, 1993, 2:30 p.m.5:10 p.m.
MAA Session on Mathematics and Industry Interface, II

2:30 p.m.
The CAMCOS program at San Jose State.
Roger C. Alperin*, San Jose State University
(88300432)

3:00 p.m.
Is "commercial mathematics" mathematics?
Jim Ramaley*, ZiffDavis Publishing Company, New York
(88300438)

3:50 p.m.
Exploratory research program in applied mathematics at EPRI.
Martin Wildberger*, Electric Power Research Institue, Palo Alto, California
(88300439)

4:20 p.m.
Using software as a link to government.
Linda R. Petzold*, University of Minnesota, Minneapolis
(88300437)

4:50 p.m.
Interdisciplinary programs.
Brian Alspach*, Simon Fraser University,
(88300433)

Monday August 16, 1993, 2:30 p.m.5:00 p.m.
MAA Session on Research in Undergraduate Teaching, I

2:30 p.m.
Calculus students' informal understanding of rate of change.
Dave Lidstone*, Langara College, British Columbia
(88300448)

2:50 p.m.
Students' conceptions of the derivative across multiple representations.
Daniel Scher*, Cornell University
(88300450)

3:10 p.m.
A formal approach to guided discovery.
Russell J. Hendel*, Morris College, South Carolina
(88300445)

3:30 p.m.
Effectiveness of weekly groups on learning math.
Christina Vertullo*, Marist College, Straatsburg, New York
(88300452)

3:50 p.m.
Constraining conceptions of function and their consequences in abstract algebra.
James Kaput*, University of Massachusetts, Dartmouth
(88300446)

4:15 p.m.
Some results of an approach to helping students understand quotients.
Ed Dubinsky*, Purdue University, West Lafayette
(88300443)

4:40 p.m.
Students' conceptions and misconceptions of group isomorphism.
Uri Leron*, TechnionIsrael Institute of Technology, Israel
Orit Hazzan, TechnionIsrael Institute of Technology, Israel
Rina Zazkis, Simon Fraser University
(88300447)

Monday August 16, 1993, 3:35 p.m.4:45 p.m.
AWM and CMS Committee on Women in Mathematics Panel Discussion
Affirmative action

Monday August 16, 1993, 4:50 p.m.5:20 p.m.
AWM Prize Session and Membership Meeting

Monday August 16, 1993, 5:30 p.m.6:30 p.m.
CMS General Meeting
Tuesday August 17, 1993

Tuesday August 17, 1993, 8:30 a.m.9:20 a.m.
MAA Invited Address

Tuesday August 17, 1993, 9:50 a.m.10:50 a.m.
Colloquium Lectures: Lecture II
On the regularity properties of gauge theories in Minkowski spacetime.
Sergiu Klainerman*, Princeton University

Tuesday August 17, 1993, 11:05 a.m.11:55 a.m.
AMSCMS Invited Address
Algebraic cycles and topology.
H. Blaine Lawson*, State University of New York, Stony Brook
(88300501)

Tuesday August 17, 1993, 12:00 p.m.1:00 p.m.
PME Council

Tuesday August 17, 1993, 1:25 p.m.2:15 p.m.
MAA Earle Raymond Hedrick Lectures: Lecture III
Recent developments in geometry and physics: 4dimensions.
Sir Michael Atiyah*, Trinity College, United Kingdom

Tuesday August 17, 1993, 2:30 p.m.3:20 p.m.
MAAMu Alpha Theta Lecture
High school mathematics.
Richard Rhoad*, New Trier Township High School, Winnetka, Illinois
(88300515)

Tuesday August 17, 1993, 2:30 p.m.4:55 p.m.
AMS Special Session on Problems in Number Theory in Memory of E.G. Straus, III

2:30 p.m.
On a conjecture of P. Borwein.
George E. Andrews*, Pennsylvania State University, University Park
(8831130)

2:55 p.m.
Squares and nonsquares in modular difference sets.
Jacek Fabrykowski*, University of Manitoba
(88311183)

3:20 p.m.
A road from pythagoras to Pell, via continued fractions. II.
A. G. Schaake, Waikato Polytechnic, New Zealand
J. C. Turner*, University of Waikato, New Zealand
(88311283)

3:45 p.m.
The quintuple product identity and shifted partition functions.
Krishnaswami Alladi*, University of Florida
(8831109)

4:10 p.m.
A bouquet of primes, squares and cubes.
David C. Arney*, United States Military Academy
Joseph Arkin, United States Military Academy
(8831142)

4:35 p.m.
Problems in number theory.
Leetsch Charles Hsu*,
(88311306)

Tuesday August 17, 1993, 2:30 p.m.5:50 p.m.
AMS Special Session on Discrete Geometry and Convexity, III

2:30 p.m.
Stability results for circumscribed ellipsoids, spheres, and cylinders.
H. Groemer*, University of Arizona
(88352247)

3:00 p.m.
Rhombi inscribed in simple closed curves.
Mark J. Nielsen*, University of Idaho
(88352158)

3:30 p.m.
Geometry and combinatorics of sphere arrangements in Euclidean 3space.
Igor Rivin*, Princeton University
(88352205)

4:00 p.m.
Higher toroidal regular polytopes.
Egon Schulte*, Northeastern University
(88351243)

4:30 p.m.
Free extensions of chiral polytopes.
Egon Schulte, Northeastern University
Asia Ivi\'c Weiss*, York University
(8835151)

5:00 p.m.
How to construct a ``cube''.
Walter Whiteley*, York University
(88352244)

5:30 p.m.
A new approach to packing and covering.
Jorg M. Wills*, University of Siegen, Germany
U. Betke, University of Siegen, Germany
M. Henk, University of Siegen, Germany
(88352314)

Tuesday August 17, 1993, 2:30 p.m.6:10 p.m.
AMS Special Session on Exponential Families in Mathematical Statistics, III

2:30 p.m.
On the asymptotic behaviour of the variance function.
Bent J\o rensen*, University of British Columbia
Jos\'e Ra\'ul Mart\u\i nez, Universidade, Nacional de Cordoba, Brazil
(8836269)

3:05 p.m.
Exponential models as tangents in asymptotic contexts.
D. A. S. Fraser*, York University
(8836232)

3:40 p.m.
Estimative and predictive distances.
Ann F. S. Mitchell*, Imperial College of Science, Technology & Medicine, London, England
(88362201)

4:15 p.m.
On the determinant of moment matrices.
Celestin Kokonendji, University Paul Sabatier, France
V. Seshadri*, McGill University
(88362264)

4:50 p.m.
Exponential families in rigid body motion in Euclidean space and on the sphere.
Ted Chang*, University of Virginia
(88362268)

5:25 p.m.
Total positivity, finite reflection groups and a formula of HarishChandra.
Kenneth I. Gross, University of Vermont
Donald St. P. Richards*, University of Virginia
(88360155)

5:50 p.m.
Multivariate Liouville distributions.IV
Rameshwar D. Gupta*, University of New Brunswick
Donald St. P. Richards, University of Virginia
(88360156)

Tuesday August 17, 1993, 2:30 p.m.5:20 p.m.
AMS Special Session on Algebraic and Geometric Methods in Control Theory, III

2:30 p.m.
Using moving frames in centroaffine geometry to determine feedback invariants of control systems.
George R. Wilkens, Jr.*, University of Hawaii, Honolulu
(88349170)

3:00 p.m.
Optimality conditions in sets of functions with range in a polyhedron.
J. C. Dunn*, North Carolina State University, Raleigh
(88349186)

3:30 p.m.
Gradient flows to solve NPhard problems.
Wing Shing Wong*, Chinese University of Hong Kong, Hong Kong
(8839363)

4:00 p.m.
Orders of input/output differential equations and state space dimensions.
Eduardo D. Sontag, Rutgers University, New Brunswick
Yuan Wang*, Florida Atlantic University
(8839360)

4:30 p.m.
The stochastic maximum principle and singular control problems.
Abel Cadenillas*, University of British Columbia
Ulrich G. Haussmann, University of British Columbia
(8834952)

5:00 p.m.
Discussion

Tuesday August 17, 1993, 2:30 p.m.4:30 p.m.
MAA Minicourse \#3: Part B
Environmental modeling via the qualitative, visual, and computational
B.A. Fusaro, Salisbury State University

Tuesday August 17, 1993, 2:30 p.m.4:30 p.m.
MAA Minicourse \#4: Part B
Implementing the Harvard calculus curriculum
Wayne Raskind, University of Southern California

Tuesday August 17, 1993, 2:30 p.m.4:30 p.m.
MAA Minicourse \#5: Part B
Teaching finite mathematics to a large class of arts and education students
J. Chris Fisher, University of Regina

Tuesday August 17, 1993, 2:30 p.m.5:00 p.m.
AMS Session on General Topology

2:30 p.m.
Extending continuous functions.
Gavin Maltby, University of Natal, Republic of South Africa
Johan Swart*, University of Natal, Republic of South Africa
(8835408)

2:50 p.m.
Completion of Cauchy spaces.
Nandita Rath*, Washington State University
(88354312)

3:10 p.m.
On the uniformization of hyperspace topologies.
Gerald A. Beer, California State University, Los Angeles
Robert K. Tamaki*, California State University, Los Angeles
(88354180)

3:30 p.m.
Decomposing homeomorphism of the Hilbert cube into finite types.
Raymond Y. Wong*, University of California, Santa Barbara
(88357179)

3:50 p.m.
Rutt's theorem in modern continuum theory.
James T. Rogers, Jr.*, Tulane University
(88354257)

4:10 p.m.
On probabilistic convergence structures.
G. D. Richardson, University of Central Florida
Darrell C. Kent*, Washington State University
(88354272)

4:30 p.m.
Ordered compactifications vis defining families.
Dongmei Liu*, Washington State University
(88354282)

4:50 p.m.
The interior path version of Karmarkar's algorithm for linear programming.
Gerard Sierksma*, University of Groningen, The Netherlands
(8839035)

Tuesday August 17, 1993, 2:30 p.m.5:35 p.m.
AMS Session on Global Analysis and Manifolds

2:30 p.m.
Equivariant inverse problem of calculus of variations, GelfandFuks cohomology and the PKPequation.
Ian M. Anderson, Utah State University
Juha Pohjanpelto*, Oregon State University
(88349305)

2:50 p.m.
Quazisymmetry groups and the Hamiltonian reduction.
S. Prishepionok*, Portland State University
(8835310)

3:10 p.m.
Quantum gravity and Hatcher's theorem.
Kristin Schleich, University of British Columbia
Donald M. Witt*, University of British Columbia
(88353164)

3:30 p.m.
Embeddings of surfaces in fourmanifolds.
Yonathan Epelbaum*, Mercy College, New York
(88355271)

3:50 p.m.
Classifications of (G,2)complexes support Thurston's conjecture.
F. Rudolf Beyl, Portland State University
M. Paul Latiolais*, Portland State University
Nancy Waller, Portland State University
(88357309)

4:10 p.m.
On Jones knot invariants and Vassiliev invariants.
J. Zhu*, University of British Columbia
(8835715)

4:30 p.m.
Heat content asymptotics for operators of Laplace type with Neumann boundary conditions.
Sylvie Desjardins*, University of Oregon
Peter Gilkey, University of Oregon
(88358260)

4:50 p.m.
Boundary values as Hamiltonian variables: New Poisson brackets.
Vladimir Soloviev*, Institute for High Energy Physics, Russia
(88358152)

5:10 p.m.
Low regularity solutions to the Cauchy problem for equivariant wave maps.
Jalal Shatah, Courant Institute of Mathematical Sciences, New York University
A. Shadi TahvildarZadeh*, University of Michigan, Ann Arbor
(88358208)

5:25 p.m.
Identification of stable measures.
John P. Nolan*, American University
(88360317)

Tuesday August 17, 1993, 2:30 p.m.5:05 p.m.
MAA Session on History of Mathematics, II

2:30 p.m.
Rozsa Peter New findings.
Leon Harkleroad*, Cornell University
(88300404)

2:55 p.m.
The history, arithmetic and logic of a wellknown mathematical objectThe baseball boxscore.
Steven H. Heath*, Southern Utah University
(88300405)

3:20 p.m.
Canadian women mathematicians from the early nineteenth century to the present time.
Kailash K. Anand*, Concordia University
(88300401)

3:40 p.m.
Break

4:20 p.m.
Chrystal to microchip: A brief history of elementary algebra texts.
Leonard Feldman*, San Jose State University
(88300402)

4:45 p.m.
Two derivations from the Tantrasangraha of Nilakanta (14441543).
P. Rajagopal*, Atkinson College, York University, Ontario
(88300413)

Tuesday August 17, 1993, 2:30 p.m.4:25 p.m.
MAA Session on Less Is More, I

2:30 p.m.
Less is more: A philosophical introduction.
Peter Taylor*, Queen's University,
(88300431)

2:50 p.m.
Calculus with less coverage and more understanding.
Nancy L. Hagelgans*, Ursinus College
(88300426)

3:10 p.m.
Calculus: Understanding vs. smorgasbord.
James Sobota*, University of WisconsinLa Crosse
(88300430)

3:30 p.m.
Doing more calculus with mathematica.
William D. Emerson*, Queens College (CUNY)
(88300424)

3:50 p.m.
Calculus: An active approach with projects.
John C. Maceli*, Ithaca College
(88300427)

4:10 p.m.
Coffee and Discussion

Tuesday August 17, 1993, 2:30 p.m.6:00 p.m.
MAA Session on Research in Undergraduate Teaching, II

2:30 p.m.
Husserl and constructivism.
Stephen Campbell*, Simon Fraser University
(88300440)

2:55 p.m.
Empirical methods in seventeenth century mathematics: A guide to a curriculum that respects the conceptions of our students.
David Dennis*, Cornell University, Ithaca
(88300442)

3:20 p.m.
Is it enough to reform calculus?  What happened to students after project CALC.
Jack Bookman*, Duke University
(88300455)

3:45 p.m.
Students' attitudes toward mathematics teaching that might affect cooperative learning in collegiate settings.
G. Joseph Wimbish*, Huntington College, Montgomery, Alabama
(88300453)

4:10 p.m.
On remediating large groups of students: A case study.
Theodore Eisenberg*, BenGurion University of the Negev, Israel
(88300444)

4:35 p.m.
To the right of the decimal point  An unsolved mystery.
Rina Zazkis*, Simon Fraser University
(88300454)

5:00 p.m.
Identifying cognitive/affective interactions in math anxiety.
Joseph G. R. Martinez*, University of New Mexico
Michael Maher, University of New Mexico
(88300449)

5:25 p.m.
Interlacing vs sequencing of precalculus and calculus.
J. Arthur Seebach*, Saint Olaf College, Minnesota
Peder A. Bolstad, Saint Olaf College, Minnesota
(88300451)

5:45 p.m.
Learning from errors.
Barry M. Cherkas*, Hunter College, City University of New York
(88300441)

Tuesday August 17, 1993, 3:30 p.m.6:00 p.m.
MAA Student Papers

Tuesday August 17, 1993, 3:30 p.m.6:00 p.m.
PME Contributed Paper Session

Tuesday August 17, 1993, 3:30 p.m.6:00 p.m.
PME Contributed Paper Session

Tuesday August 17, 1993, 3:30 p.m.6:00 p.m.
PME Contributed Paper Session

Tuesday August 17, 1993, 3:45 p.m.4:45 p.m.
CMS and MAA Committee on the Participation of Women Panel Discussion
How to help your majors get into graduate school

Tuesday August 17, 1993, 7:30 p.m.8:30 p.m.
CMS JefferyWilliams Lecture
Trace formulas and automorphic representations.
James G. Arthur*, University of Toronto
(88300513)

Tuesday August 17, 1993, 8:45 p.m.10:45 p.m.
MAA Committee on the Participation of Women Special Presentation
1993 Microinequities skits

Tuesday August 17, 1993, 8:45 p.m.9:45 p.m.
MAA Film Presentation
Regularfaced Polyhedra: an Introduction
Wednesday August 18, 1993

Wednesday August 18, 1993, 8:30 a.m.9:20 a.m.
MAA Invited Address
Quantum cryptography. (And other quantum magic).
Gilles Brassard*, Universite de Montreal
(88300506)

Wednesday August 18, 1993, 9:50 a.m.10:50 a.m.
Colloquium Lectures: Lecture III
On the regularity properties of gauge theories in Minkowski spacetime.
Sergiu Klainerman*, Princeton University

Wednesday August 18, 1993, 11:05 a.m.11:55 a.m.
AMSCMS Invited Address
Cutting and pasting with symplectic manifolds.
Robert E. Gompf*, University of Texas, Austin
(88300500)

Wednesday August 18, 1993, 12:15 p.m.12:45 p.m.
MAA Business Meeting

Wednesday August 18, 1993, 1:15 p.m.2:45 p.m.
AMS Progress in Mathematics Lecture
Values of indefinite quadratic forms at integral points and flows on spaces of lattices.
Armand Borel*, Institute for Advanced Study
(88300517)

Wednesday August 18, 1993, 2:00 p.m.4:00 p.m.
MAA Minicourse \#6: Part A
Combinatorial design theory
Eric Mendelsohn, University of Toronto

Wednesday August 18, 1993, 2:00 p.m.4:00 p.m.
MAA Minicourse \#7: Part A
Lagrange multipliers
Edward J. Barbeau, Jr., University College, Toronto

Wednesday August 18, 1993, 2:00 p.m.4:00 p.m.
MAA Minicourse \#8: Part A
Earth algebra: College algebra with applications to environmental issues
Christopher Schaufele, Kennesaw State College, Marietta, Georgia
Nancy E. Zumoff, Kennesaw State College, Marietta, Georgia

Wednesday August 18, 1993, 2:10 p.m.3:00 p.m.
MAA Invited Address
The unity of combinatorics.
Richard K. Guy*, University of Calgary
(88300509)

Wednesday August 18, 1993, 2:10 p.m.5:00 p.m.
AMS Special Session on Topological Methods in Group Theory, I

2:10 p.m.
The group of motions of nstrings in 3space.
Ronnie Lee*, Yale University
Alan Brownstein, Rutgers University, Newark
(88355176)

2:40 p.m.
The role of the Steinberg module in splitting BG.
Jill Dietz*, University of Washington
(88355297)

3:10 p.m.
Explicit reduction theory for Siegel modular threefolds.
Mark McConnell*, Oklahoma State University, Stillwater
(88322230)

3:40 p.m.
The cohomology of sporadic simple groups.
John Maginnis*, Kansas State University
(88355254)

4:10 p.m.
The homotopy of type of a pcompletion of BG.
John Martino*, University of Virginia
Stewart Priddy, Northwestern University
(88355199)

4:40 p.m.
Explicit Brauer induction and conductors.
Victor Snaith*, McMaster University
(88320224)

Wednesday August 18, 1993, 2:10 p.m.6:00 p.m.
AMS Special Session on Random Knotting and Linking, I

2:10 p.m.
Knotting, linking and writhing in polygons and ribbons in Z 3.
Stuart G. Whittington*, University of Toronto
(8835756)

2:40 p.m.
Knotting of Gaussian random polygons.
Nicholas Pippenger*, University of British Columbia
(88357213)

3:10 p.m.
Random knotting in graphs embedded in Z 3.
Christine E. Soteros*, University of Saskatchewan
(88357238)

3:40 p.m.
Entanglement complexity of random knots.
De Witt L. Sumners*, Florida State University
(88357212)

4:10 p.m.
Random DNA knot formation and physical properties of DNA in solution.
James C. Wang, Harvard University
Stanley Y. Shaw*, Harvard University
(88382255)

4:40 p.m.
Random knotting of regular polygons.
Kenneth C. Millett*, University of California, Santa Barbara
(88357200)

5:10 p.m.
Unsplittability of random links.
Yuanan Diao*, Kennesaw State College, Marietta, Georgia
(8835748)

5:40 p.m.
Asymptotics of open surfaces with knotted boundaries in Z^d.
Buks van Rensburg*, York University
(8835762)

Wednesday August 18, 1993, 2:10 p.m.4:45 p.m.
MAA Session on History of Mathematics, III

2:10 p.m.
The history of stereographic projection.
Ernest Manfred*, United States Coast Guard Academy
(88300410)

2:35 p.m.
Mixing calculus and history for liberal arts students.
William M. Priestley*, University of the South
(88300459)

3:00 p.m.
Impacts of the calculus of variations on contemporary analysis.
Erwin O. Kreyszig*, Carleton University
(88300458)

3:20 p.m.
Break

3:35 p.m.
Mathematics in Newton's Principia.
Mary Kellogg*, New York, New York
(88300457)

4:00 p.m.
At random: Bertrands's paradox in probability and simulation.
George Kung, University of WisconsinStevens Point
Dale M. Rohm*, University of WisconsinStevens Point
(88300414)

4:25 p.m.
Why do we use that?.
Dona Henderson*, University of South Dakota
Clare Wagner, University of South Dakota
(88300406)

Wednesday August 18, 1993, 2:10 p.m.4:55 p.m.
MAA Session on Interacting With Elementary School Kids, I

2:10 p.m.
Advanced technology and elementary school mathematics.
David Fowler*, University of Nebraska, Lincoln
Steven R. Dunbar, University of Nebraska, Lincoln
(88300416)

2:30 p.m.
Down from the ivory tower.
Gabriella Wepner, Ramapo College of New Jersey
Kay Gura*, Ramapo College of New Jersey
(88300421)

2:50 p.m.
Mathematicians galore at MathConn at Cedar Crest College.
Regina Baron Brunner*, Cedar Crest College, Pennsylvania
(88300415)

3:10 p.m.
Handson mathematics for K3.
Suzanne E. Sands*, Purcellville, Virginia
(88300420)

3:30 p.m.
An afterschool enrichment program using Square OneTV's MATHNET theme.
Kathy Hoke*, University of Richmond
(88300417)

3:50 p.m.
The content, methodology, and practicum connection at the University of WisconsinStevens Point.
Richard Mitchell*, University of Wisconsin, Stevens Point
(88300419)

4:10 p.m.
K6 integer polygons and integer polyhedra activities.
James H. Jordan*, Washington State University
Blake E. Peterson, Washington State University
(88300418)

4:40 p.m.
Implementing the NCTM standards in Northeast Ohio.
David Pollack*, Youngstown State University
Howard Pullman, Youngstown State University
(88300460)

Wednesday August 18, 1993, 2:10 p.m.4:25 p.m.
MAA Session on Less Is More, II

2:10 p.m.
Less is more: A summary.
John Poland*, Carleton University,
(88300428)

2:50 p.m.
Do we need prerequisites?
Donal B. O'Shea*, Mount Holyoke College
(88300456)

3:10 p.m.
Designing a course to encourage mathematical thinking.
Lynne L. Doty*, Marist College
(88300423)

3:30 p.m.
Using computer activities and inclass tasks in precalculus.
Jerry Przybylski*, Elmira College
(88300429)

3:50 p.m.
A simple computer algebra system for universities with minimal resources (and other ideas).
Bruno Guerrieri*, Florida A & M University
(88300425)

4:10 p.m.
Coffee and Discussion

Wednesday August 18, 1993, 2:10 p.m.3:40 p.m.
MAA Open Meeting
Quantitative Literacy Open Meeting

Wednesday August 18, 1993, 2:30 p.m.5:50 p.m.
AMS Special Session on Geometric Methods in Mathematical Physics, I

2:30 p.m.
Symmetric steady motions in continuum models.
Debra Lewis*, University of California Santa Cruz
(88370315)

3:00 p.m.
Involutive structures on compact manifolds.
Howard Jacobowitz*, Rutgers University, Camden
(88358253)

3:30 p.m.
Prescribing curvatures.
Dennis DeTurck*, University of Pennsylvania
(88353316)

4:00 p.m.
Dynamic feedback linearization for classical geometries.
William Shadwick, The Fields Institute
Willem Sluis*, The Fields Institute
(88393167)

4:30 p.m.
Compatible metrics and polyakov strings.
Phillip E. Parker*, Wichita State University
(88353237)

5:00 p.m.
A pseudoRiemannian Morse index theorem.
Adam Helfer*, University of Missouri, Columbia
(8835366)

5:30 p.m.
From the Riccati inequality to the Raychaudhuri equation.
Paul Ehrlich*, University of Florida
Seon Bu Kim, Chonnam National University, South Korea
(8835319)

Wednesday August 18, 1993, 2:30 p.m.6:00 p.m.
AMS Session on Numerical Analysis and Probability

2:30 p.m.
The probability of n aceking adjacencies in a shuffled deck.
John M. Holte*, Gustavus Adolphus College
Mark M. Holte, Camano Island, Washington
(88360234)

2:50 p.m.
Breaking records and breaking boards.
James Marengo*, Rochester Institute of Technology
(88360313)

3:10 p.m.
Confidence interval for a function of several parameters.
Jack Tomsky*, Lockheed Missiles & Space Company
(8836204)

3:30 p.m.
Numerical methods for eigenvalues of second order ordinary differential equations with boundary conditions.
Lawrence E. Garey*, University of New Brunswick
C. Joseph Gladwin, University of New Brunswick
(8836518)

3:50 p.m.
Modified moment estimation in the 4parameter generalized Weibull dist.
Manmohan S. Arora*, University of Bahrain, Bahrain
(88362223)

4:10 p.m.
An algorithm for the upper right zero problem for 3x3 matrices.
Leon Harkleroad*, Cornell University
Melven Krom, University of California, Davis
(88365222)

4:30 p.m.
KVmodification of successive approximation.
Krishnanand Verma*, University of WisconsinWhitewater
(88365249)

4:50 p.m.
Numerical methods in optimal control theory.
John Gregory*, Southern Illinois University, Carbondale
Cantian Lin, University of Nevada, Las Vegas
(8836501)

5:05 p.m.
Consistency on local dynamics and bifurcation of continuoustime dynamical systems and their numerical discretizations.
Xin Wang*, University of Southern California
Edward K. Blum, University of Southern California
Qingnan Li, University of Southern California
(8836522)

5:20 p.m.
Analysis of a nonconforming finite element method for the calculation of electromagnetic guided waves.
Cristine Poirier, INRIA, France
Patrick Joly, INRIA, France
Jean E. Roberts*, INRIA, France
Pascal Trouv\'e, Thomson C.S.F./L.C.R.,Cedex, France
(8836525)

5:35 p.m.
A shockcapturing streamline diffusion discontinous finite element method for hyperbolic conservation laws.
J\'erom\'e Jaffr\'e*, INRIA, Cedex, France
Claes Johnson, Chalmers University of Technology, Sweden
Anders Szepessy, NADA, Royal Institute of Technology, Sweden
(8836524)

5:50 p.m.
Adaptive Chebyshev pseudospectral computations of shear band formation.
Dawn Lott Crumpler*, Northwestern University
Alvin Bayliss, Northwestern University
Ted Belytschko, Northwestern University
Makarand Kulkarni, National Aeronautics & Space Administration
(88365209)

Wednesday August 18, 1993, 2:30 p.m.5:20 p.m.
AMS Session on Systems Theory and Applications

2:30 p.m.
Fractals for matrix products.
Clifford A. Reiter*, Lafayette College
(8831531)

2:50 p.m.
Ordinary differential equations for eigenvalues of oneparameter simple matrices.
Roy B. Leipnik*, University of California, Santa Barbara
(8831539)

3:10 p.m.
Integral equations and control theory.
C. Corduneanu*, University of Texas at Arlington
(88334273)

3:30 p.m.
A new technique for solving linear quadratic optimal control problems.
Mohsen Razzaghi*, Amir Kabir University, Iran
(8839334)

3:50 p.m.
Statistical quality control: An alternative cooperative learning in the classroom.
Charles Pierre*, San Jose State University
(88398175)

4:10 p.m.
Interactive environments for linear algebra.
Lila F. Roberts*, Georgia Southern University
(88398269)

4:30 p.m.
An inductive definition construction of the hyperarithmetic hierarchy and its extensions.
David G. Hartz*, College of Saint Benedict
(88303278)

4:50 p.m.
The fast cubic algorithm.
Efim Galperin*, Universit\'e du Qu\'ebec, Montr\'eal
(88390229)

5:10 p.m.
The learning process modelled.
G. Arthur Mihram*, University of Southern California
Danielle Mihram, University of Southern California
(88398324)

Wednesday August 18, 1993, 3:15 p.m.6:00 p.m.
MAA Student Paper Session

Wednesday August 18, 1993, 3:15 p.m.5:45 p.m.
CMSMAA Panel Discussion
What is an interactive text? Four examples
J.S. Devitt, University of Saskatchewan
William J. Davis, Ohio State University
Gerald J. Porter, University of Pennsylvania
Robert J. Lopez, RoseHulman Institute of Technology
Jim Swift, Institute of Academic Technology, University of North Carolina

Wednesday August 18, 1993, 3:30 p.m.6:00 p.m.
MAA Student Papers

Wednesday August 18, 1993, 3:30 p.m.6:00 p.m.
PME Contributed Paper Session

Wednesday August 18, 1993, 3:30 p.m.6:00 p.m.
PME Contributed Paper Session

Wednesday August 18, 1993, 4:15 p.m.6:15 p.m.
MAA Minicourse \#11: Part A
Learning abstract algebra by programming in ISETL
Ed Dubinsky, Purdue University, West Lafayette
Uri Leron, TechnionITT, Israel
Rina Zazkis, Simon Fraser University

Wednesday August 18, 1993, 4:15 p.m.6:15 p.m.
MAA Minicourse \#9: Part A
Roundrobin tournaments: An introduction
John W. Moon, University of Alberta

Wednesday August 18, 1993, 8:30 p.m.9:30 p.m.
PME J. Sutherland Frame Lecture
Ramanujan for students.
George E. Andrews*, Pennsylvania State University, University Park
(88300516)
Thursday August 19, 1993

Thursday August 19, 1993, 8:00 a.m.10:00 a.m.
MAA Minicourse \#11: Part B
Learning abstract algebra by programming in ISETL
Ed Dubinsky, Purdue University, West Lafayette
Uri Leron, TechnionITT, Israel
Rina Zazkis, Simon Fraser University

Thursday August 19, 1993, 8:30 a.m.10:20 a.m.
AMS Special Session on Geometric Methods in Mathematical Physics, II

8:30 a.m.
Least area tori, 3manifolds of nonnegative scalar curvature and the topology of black holes.
Mingliang Cai, University of Miami
Gregory J. Galloway*, University of Miami
(88353207)

9:00 a.m.
The internal geometry of black holes.
W. Israel*, University of Alberta
(8838367)

9:30 a.m.
Stability of geodesic incompleteness.
John K. Beem*, University of Missouri, Columbia
(8835349)

10:00 a.m.
EinsteinYangMills equations with symmetries.
H. P. Kunzle*, University of Alberta
(88383151)

Thursday August 19, 1993, 8:30 a.m.10:20 a.m.
AMS Special Session on Topological Methods in Group Theory, II

8:30 a.m.
Sets of matrices which generate free products.
Roger Alperin*, San Jose State University
(88320261)

9:00 a.m.
Compactifying certain covers of 3manifolds.
Michael L. Mihalik*, Vanderbilt University
(88320220)

9:30 a.m.
Scaffoldings.
Steven H. Weintraub*, Louisiana State University, Baton Rouge
(8832044)

10:00 a.m.
Topology and geometry of arrangement of complex lines in C.
Stephen S.T. Yau*, University of Illinois, Chicago
(8831428)

Thursday August 19, 1993, 8:30 a.m.10:30 a.m.
MAA Minicourse \#6: Part B
Combinatorial design theory
Eric Mendelsohn, University of Toronto

Thursday August 19, 1993, 8:30 a.m.10:30 a.m.
MAA Minicourse \#7: Part B
Lagrange multipliers
Edward J. Barbeau, Jr., University College, Toronto

Thursday August 19, 1993, 8:30 a.m.10:40 a.m.
AMS Session on Partial Differential Equations

8:30 a.m.
The profile near blowup time for solution of the heat equation with a nonlinear boundary condition.
HongMing Yin*, University of Notre Dame
(8833514)

8:50 a.m.
The nonhomogeneous minimal surface equation involving a measure.
William K. Ziemer*, California State University, Long Beach
(8833513)

9:10 a.m.
A selfadjoint ``simultaneous crossing the axis''.
Kurt Kreith*, University of California, Davis
(88335178)

9:30 a.m.
Rearrangements in steady multiple vortex flows.
Alan R. Elcrat, Wichita State University
Kenneth G. Miller*, Wichita State University
(88335286)

9:50 a.m.
Gevrey smoothing properties of the solution operator for Schr\"odinger's equation in weighted Sobolev spaces.
Stephen W. Taylor*, Montana State University
(88335288)

10:10 a.m.
Two dimensional heat equation involving multidimensional Laplace transforms and Green's function.
R. S. Dahiya*, Iowa State University
Frank Odoom, Iowa State University
(88344233)

10:30 a.m.
Uniqueness in the Cauchy problems for higher order elliptic differential operator.
Wensheng Wang*, California Institute of Technology
(88342160)

Thursday August 19, 1993, 8:30 a.m.10:40 a.m.
AMS Session on Analysis

8:30 a.m.
Baire one functions and perfect sets.
Russell A. Gordon*, Whitman College
(8832636)

8:50 a.m.
Another functional equation derived from the mean mean value theorem.
Donald F. Bailey*, Trinity University
(8832658)

9:10 a.m.
Superadditive functions on rectangles.
Arlo W. Schurle*, University of Guam, Guam
(88326310)

9:30 a.m.
Generalized conditional expectation.
William E. Hornor*, University of Southern Mississippi
(88328232)

9:45 a.m.
On the solution of the functional equation f(x+y)+g(xy)=h(x)+k(y).
E. L. Koh, University of Regina
G. Ren*, University of Regina
(88339190)

10:00 a.m.
Some asymptotic formulae for qseries.
Richard J. McIntosh*, University of Regina
(88333161)

10:15 a.m.
Representation and series expansions for meromorphic functions.
D. S. Tselnik*, Fargo, North Dakota
(88330197)

10:30 a.m.
Integral operators preserving meromorphic starlike functions.
Hassoon AlAmiri*, Bowling Green State University
Petru T. Mocanu, BabesBolyai University, Romania
(88330274)

Thursday August 19, 1993, 8:30 a.m.10:30 a.m.
AMS Session on Number Theory, I

8:30 a.m.
On a conjecture of H. Zassenhaus for primes generating primitive roots.
Francesco Pappalardi*, McGill University
(8831137)

8:50 a.m.
A proposed application of supersingular elliptic curves.
S. Hahn*, Korea Advanced Institute of Science & Technology, South Korea
(8831120)

9:10 a.m.
Counting points on hyperelliptic curves over finite fields.
P. B. Van Wamelen*, University of California at San Diego, La Jolla
(88311154)

9:30 a.m.
Generalizations of the Markoff equation.
Arthur Baragar*, University of Texas, Austin
(88311172)

9:50 a.m.
The conductor of an abelian variety.
Armand Brumer, Fordham University
Kenneth Kramer*, Queen's University
(88311192)

10:10 a.m.
New examples of Stark's conjectures.
Brett A. Tangedal*, University of California at San Diego, La Jolla
(88311153)

10:20 a.m.
Class number and computer: A note on S. Chowla's conjecture.
Guangheng Ji, Purdue University, West Lafayette
Hongwen Lu*, University of Science and Technology of China and Purdue University, West Lafayette
(8831106)

Thursday August 19, 1993, 8:30 a.m.10:30 a.m.
MAA Student Workshop
Using Maple to do mathematics

Thursday August 19, 1993, 9:00 a.m.10:40 a.m.
CMSMAA Panel Discussion
Models for cooperative learning for undergraduate mathematics classes
G. Joseph Wimbish, Purdue University, North Central
Keith E. Schwingdorf, Purdue University, North Central

Thursday August 19, 1993, 9:30 a.m.10:30 a.m.
MAA Special Discussion
Retired mathematicians

Thursday August 19, 1993, 10:55 a.m.11:45 a.m.
AMSCMS Invited Address
Remarks on variational methods.
Louis Nirenberg*, Courant Institute of Mathematical Sciences, New York University
(88300503)

Thursday August 19, 1993, 1:15 p.m.2:45 p.m.
AMS Progress in Mathematics Lecture
Mathematical problems arising in industry. Part I
Avner Friedman*, University of Minnesota, Minneapolis
(88300512)
Part II

Thursday August 19, 1993, 2:00 p.m.4:00 p.m.
MAA Minicourse \#8: Part B
Earth algebra: College algebra with applications to environmental issues
Christopher Schaufele, Kennesaw State College, Marietta, Georgia
Nancy E. Zumoff, Kennesaw State College, Marietta, Georgia

Thursday August 19, 1993, 2:00 p.m.4:00 p.m.
MAA Minicourse \#9: Part B
Roundrobin tournaments: An introduction
John W. Moon, University of Alberta

Thursday August 19, 1993, 2:10 p.m.5:00 p.m.
AMS Special Session on Topological Methods in Group Theory, III

2:10 p.m.
Discussion

2:40 p.m.
On the Yagita invariant of mapping class groups.
H. Glover*, Ohio State University, Columbus
G. Mislin, ETH, Zurich, Switzerland and Ohio State University, Columbus
Y. Xia, Northern Illinois University
(88355294)

3:10 p.m.
4manifold invariants of groups.
D. Kotschick*, University of Basel, Switzerland
(8835755)

3:40 p.m.
Homotopy decomposition of the classifying space of virtually torsionfree groups and applications.
ChunNip Lee*, Northwestern University
(8835516)

4:10 p.m.
Spines of ndimensional manifolds.
Dale Rolfsen*, University of British Columbia,
(88357267)

4:40 p.m.
Discussion

Thursday August 19, 1993, 2:10 p.m.5:30 p.m.
AMS Special Session on Symplectic Geometry, III

2:10 p.m.
On the Witten invariant of mapping cylinders.
Jorgen Ellegaard Andersen*, University of California, Berkeley
(88353301)

3:00 p.m.
Contact geometry and complex surfaces.
Hansj\"org Geiges*, Stanford University
Jes\'us Gonzalo, University Autonoma de Madrid, Spain
(88353188)

3:30 p.m.
Lie bialgebroids and Poisson groupoids.
Kirill Mackenzie, University of Sheffield, England
Ping Xu*, Mathematical Sciences Research Institute, Berkeley
(8835859)

4:20 p.m.
Symplectic sphere packing constructions.
Lisa Traynor*, Mathematical Sciences Research Institute, Berkeley
(8835354)

4:50 p.m.
Maselov index of holomorphic discs with Lagrangian boundary conditions on Kahler manifolds.
YongGeun Oh*, University of Wisconsin, Madison
(8835343)

Thursday August 19, 1993, 2:10 p.m.6:00 p.m.
AMS Special Session on Random Knotting and Linking, II

2:10 p.m.
Polygonal knots.
Richard Randell*, University of Iowa
(88357279)

2:40 p.m.
The functoriality of finiteorder invariants of knotted graphs.
Ted Stanford*, Columbia University
(88357211)

3:10 p.m.
Twist sequences and the Vassiliev subspace.
Rolland Trapp*, University of Michigan, Ann Arbor
(88357239)

3:40 p.m.
A statistical study of random knotting using the Vassiliev invariants.
Tetsuo Deguchi*, University of Tokyo, Japan
Kyoichi Tsurusaki, University of Tokyo, Japan
(88382218)

4:10 p.m.
Vassiliev invariants and RNA folding.
Louis H. Kauffman*, University of Illinois, Chicago
(88357215)

4:40 p.m.
How tangles in knot diagrams can talk to each other.
Dale Rolfsen*, University of British Columbia
(88357292)

5:10 p.m.
Energy functions for polygonal knots.
Jonathan Simon*, University of Iowa
(88357280)

5:40 p.m.
Random knots and energy.
Gregory Buck*, Saint Anselm's College
(88357291)

Thursday August 19, 1993, 2:10 p.m.5:00 p.m.
AMS Session on Harmonic Analysis and Operator Theory

2:10 p.m.
Characterization of spherical transform of functions and Schwartz multipliers on the Heisenberg group.
Tefera Worku*, State University of New York, Albany
(8834317)

2:30 p.m.
Metric projection onto a lattice in L_1.
Salem Sahab*, King Abdulaziz University, Saudi Arabia
Robert Huotari, Idaho State University
(8834102)

2:50 p.m.
Deconvolution.
Stephen D. Casey*, American University
(88342226)

3:10 p.m.
A kernel theorem on the space [H_mu x A;B].
E. L. Koh, University of Regina
C. K. Li*, University of Regina
(88346162)

3:30 p.m.
Abelergodic properties of pseudoresolvents and applications to semigroups.
Shengwang Wang, Nanjing University, People's Republic of China
Ivan Erdelyi*, Temple University Japan, Tokyo, Japan
(8834712)

3:50 p.m.
Operators on spaces of analytic functions.
Karim Seddighi*, Shiraz University, Iran
(8834711)

4:10 p.m.
An intrinsic characterization for zero diagonal operators.
Peng Fan*, Texas Christian University
C.K. Fong, Carleton University
(88347165)

4:30 p.m.
An upper bound for the shear dispersion coefficient.
Sunday Chikwendu*, State University of New York, College at Plattsburgh
(88349296)

4:30 p.m.
Generalizations of Dyson's rank and nonRogersRamanujan partitions.
Frank Garvan*, University of Florida
(88311311)

Thursday August 19, 1993, 2:10 p.m.5:20 p.m.
AMS Session on Number Theory, II

2:10 p.m.
Class number parity.
Stella Roberson Ashford*, Southern University
(88311277)

2:30 p.m.
Combinatorial inequalities concerning the range of polynomials over Z n.
Bill Ralph*, Brock University,
(88311290)

2:50 p.m.
Lucas sequences and Diophantine equations.
Zhaiyu Mo*, University of Calgary
(88311225)

3:10 p.m.
Algorithmic derivation of Stender units.
Malvina Baica*, University of Wisconsin, Whitewater
(8831229)

3:30 p.m.
3core solutions of the equation #x+2.#y=n.
Zoltan Reti*, University of Florida
(88311308)

3:50 p.m.
Generating solutions for k_1x2 above 1 + k_2x 2 above 2 + ... + K_n x 2 above n + y 2 = z 2.
Pasquale J. Arpaia*, Saint John Fisher College
(88311194)

4:10 p.m.
Patterns in prime and composite powersphase I.
Nivia Colon Diaz*, C/25,HH 17, Urb Cana, Bayamon, Puerto Rico
(88311250)

4:30 p.m.
Two remarkable doubly exponential series transformations of Ramanujan.
Bruce C. Berndt*, University of Illinois, UrbanaChampaign
James Lee Hafner, IBM, Almaden Research Center, San Jose, California
(88311262)

4:50 p.m.
Continued fractions, Chebychev polynomials, and chaos.
Bill Derrick, University of Montana
Jack Eidswick*, University of Montana
(88311265)

5:10 p.m.
Number field sieve with two quadratic polynomials.
Peter L. Montgomery*, Oregon State University
(88311319)

Thursday August 19, 1993, 2:30 p.m.5:50 p.m.
AMS Special Session on Geometric Methods in Mathematical Physics, III

2:30 p.m.
The method of timelike 2surfaces.
Steven G. Harris*, Saint Louis University
(88353150)

3:00 p.m.
Isotropic singularities and the Weyl curvature hypothesis.
Susan M. Scott*, Australian National University, Australia
(88383295)

3:30 p.m.
Spacetime geometry of crstructures.
K. L. Duggal*, University of Windsor
Aurel Bejancu, Polytechnic Institute of Iasi, Romania
(88353235)

4:00 p.m.
The Einstein constraint equations on manifolds admitting a U(1) action.
James Isenberg*, University of Oregon
Vincent Moncrief, Yale University
(88383270)

4:30 p.m.
Ricci curvature inheriting symmetry of semiRiemannian spaces.
Ramesh Sharma*, University of New Haven
Krishan L. Duggal, University of Windsor
(88353236)

5:00 p.m.
Numerical simulations of unpolarized Gowdy spacetimes.
David Garfinkle*, Oakland University
(88383191)

5:30 p.m.
On completeness of orbits of killing vector fields.
Piotr T. Chru\'sciel*, University of California, Santa Barbara
(8835357)

Thursday August 19, 1993, 4:15 p.m.6:15 p.m.
MAA Minicourse \#11C: Part C
Learning abstract algebra by programming in ISETL
Ed Dubinsky, Purdue University, West Lafayette
Uri Leron, TechnionITT, Israel
Rina Zazkis, Simon Fraser University
Inquiries: meet@ams.org

