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Orono Mathfest
ORONO, ME, August 810, 1991
Meeting #867
Associate secretaries:
Joseph A Cima, AMS
cima@email.unc.edu
Kenneth A Ross, MAA
ross@math.uoregon.edu
Friday August 9, 1991

Friday August 9, 1991, 7:30 a.m.8:20 a.m.
AMSMAA Invited Address
Mathematics under hardship conditions in the Third World.
Neal I. Koblitz*, University of Washington

Friday August 9, 1991, 8:35 a.m.9:25 a.m.
MAA Earle Raymond Hedrick Lecture: Lecture II
The sensual (quadratic) form. Can you hear the shape of a lattice?
John Horton Conway*, Princeton University

Friday August 9, 1991, 9:40 a.m.10:30 a.m.
AMS Invited Address

Friday August 9, 1991, 11:00 a.m.12:00 p.m.
PME Council

Friday August 9, 1991, 12:00 p.m.4:50 p.m.
AMS Special Session on Problems in Number Theory, I

12:00 p.m.
Some numbertheoretic divisibility problems.
R. L. Graham*, AT&T Bell Laboratories, Murray Hill, New Jersey
(8671167)

12:30 p.m.
Estimates of the least prime factor of a binomial coefficient.
Carole B. Lacampagne*, National Science Foundation and Northern Illinois University
(86711192)

1:00 p.m.
Reverse digit constructions of perfect, magic and doubly magic cubes.
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
Paul Smith, United States Military Academy
(8671101)

1:30 p.m.
A note on the sequence {F_5n/ (5F_n)}.
Marco Bucci, Fondazione Ugo Bordani, Italy
Adina Di Porto, Fondazione Ugo Bordani, Italy
Piero Filipponi*, Fondazione Ugo Bordani, Italy
(8671108)

2:00 p.m.
A classification scheme for Stolarsky interpersions.
Clark Kimberling*, University of Evansville
(8671144)

2:30 p.m.
Stirling relationships.
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
(8671110)

3:00 p.m.
On pclass groups of cyclic extensions of prime degree p of number fields.
Frank Gerth, III*, University of Texas, Austin
(8671106)

3:30 p.m.
Some stray footnotes in the spirit of recreational mathematics.
Herta T. Freitag*, Roanoke, Virginia
(8671170)

4:00 p.m.
Algorithmic manipulation of Fibonacci identities.
Stanley Rabinowitz*, MathPro Press, Westford, Massachusetts
(86711178)

4:30 p.m.
Various Diophantine equations in various stages of solution.
Richard K. Guy*, University of Calgary
(8671117)

Friday August 9, 1991, 12:00 p.m.4:20 p.m.
AMS Special Session on Commutative Noetherian Rings with Applications in Algebraic Geometry, II

12:00 p.m.
Old and new results on Buchsbaum rings.
Wolfgang Vogel*, MartinLutherUnivesity, Germany
(8671307)

12:30 p.m.
Quotients of toric varieties.
M. M. Kapranov, Cornell University
B. Sturmfels*, Cornell University
A. V. Zelevinsky, Cornell University
(8671416)

1:00 p.m.
Projective lines over onedimensional semilocal domains.
William Heinzer, Purdue University, West Lafayette
David Lantz, Colgate University
Sylvia Wiegand*, University of Nebraska, Lincoln
(8671355)

1:30 p.m.
Remarks on hyperplane sections of a Veronese variety.
WeiEihn Kuan*, Michigan State University
(8671330)

2:00 p.m.
Local geometry of smooth curves on singular surfaces.
David B. Jaffe*, University of Nebraska, Lincoln
(8671418)

2:30 p.m.
Purity, flatness, and filtered rings.
Joseph P. Brennan*, North Dakota State University
(86713182)

3:00 p.m.
Subalgebras of polynomial rings.
Sarah Glaz*, University of Connecticut, Storrs
(8671339)

3:30 p.m.
Results about homogeneous coordinate rings of rational surfaces in projective space.
A. V. Geramita, Queen's University
A. Gimigliano, University of Genova, Italy
B. Harbourne*, University of Nebraska, Lincoln
(8671452)

4:00 p.m.
Equational constraints and modulefinite extension of domains.
Ian M. Aberbach*, Purdue University, West Lafayette
(8671348)

Friday August 9, 1991, 12:00 p.m.4:20 p.m.
AMS Special Session on Continuum Theory and Dynamical Systems, II

12:00 p.m.
Pleating coordinates for the Riley slice of Schottky space.
Linda Keen*, Herbert H. Lehman College, City University of New York
Caroline Series, Warwick University, England
(8673079)

12:30 p.m.
Indecomposable continua and Julia sets.
James T. Rogers, Jr.*, Tulane University
(86758122)

1:00 p.m.
Topology and the complex exponential.
Robert L. Devaney*, Boston University
(86730180)

1:30 p.m.
Pseudocircles in dynamical systems.
Judy Kennedy*, University of Delaware
James A. Yorke, University of Maryland, College Park
(8675486)

2:00 p.m.
Minimal sets of dynamical systems.
Krystyna Kuperberg*, Auburn University
(86758121)

2:30 p.m.
Dynamics of annulus homeomorphisms.
Philip Boyland*, State University of New York, Stony Brook
(86758159)

3:00 p.m.
Accessible rotation number of attractors in crisis.
Kathleen T. Alligood*, George Mason University
(86758160)

3:30 p.m.
Rotation numbers on cofrontiers.
Mark Turpin*, Boston University
(86758106)

4:00 p.m.
Denjoy meets rotation on an indecomposable cofrontier.
John C. Mayer*, University of Alabama, Birmingham
Lex G. Oversteegen, University of Alabama, Birmingham
(8675481)

Friday August 9, 1991, 12:00 p.m.2:50 p.m.
AMS Special Session on Geometric Inequalities for Polytopes, II

12:00 p.m.
Extremal polyhedra inscribed in spheres.
Kenneth B. Stolarsky*, University of Illinois, UrbanaChampaign
(8675266)

12:30 p.m.
Existent and nonexistent spherical simplexes.
Boris V. Dekster*, Mount Allison University
(8675135)

1:00 p.m.
Crosssectional inequalities for cubes.
Eric L. Grinberg*, Temple University
(86751177)

1:30 p.m.
Geometric inequalities and random products.
John M. Dye, California State University, Northridge
Simeon Reich*, University of Southern California
(8675265)

2:00 p.m.
Polar duals of rotors.
Mostafa Ghandehari*, Naval Postgraduate School
(8675225)

2:30 p.m.
Informal Discussion

Friday August 9, 1991, 12:00 p.m.4:50 p.m.
AMS Special Session on Function Algebras and Function Spaces, II

12:00 p.m.
A characterisation of pick bodies in C^n.
Brian Cole, Brown University
Keith Lewis, Brown University
John Wermer*, Brown University
(8674612)

12:30 p.m.
Maximum modulus algebras with analytic varieties.
Donna Kumagai*, Pennsylvania State University, Reading
Zbigniew Slodkowski, University of Illinois, Chicago
(8674689)

1:00 p.m.
Using infinitely many complex variables to attack a problem in one complex variable.
Alexander J. Izzo*, University of Michigan, Ann Arbor
(8674694)

1:30 p.m.
Some remarks on uniform approximation.
P. M. Gauthier*, University of Montreal
(86732152)

2:00 p.m.
Approximation on a disk.
Peter J. De Paepe*, University of Amsterdam, The Netherlands
(8673250)

2:30 p.m.
Algebras of cap gammaanalytic functions in the bigplane.
Toma Tonev*, University of Toledo
(86746119)

3:00 p.m.
Cauchy transforms of measures and weighted shift operators on the disc algebra.
R. A. Hibschweiler*, University of New Hampshire
E. A. Nordgren, University of New Hampshire
(8673060)

3:30 p.m.
Properties diametrically opposite to those which characterize C(X).
Chris White*, Castleton State College
(86746130)

4:00 p.m.
The cyclic behavior of translation operators on Hilbert spaces of entire functions.
Kit C. Chan, Michigan State University
Joel H. Shapiro*, Michigan State University
(8674782)

4:30 p.m.
Banach algebras, decomposable multipliers, and applications to harmonic analysis.
Michael M. Neumann*, Mississippi State University
(8674790)

Friday August 9, 1991, 12:00 p.m.2:00 p.m.
MAA Minicourse #4: Part B
Teaching mathematical modeling
Organizers:
Frank Giordano, U.S. Military Academy
Maurice Weir, Naval Postgraduate School

Friday August 9, 1991, 12:00 p.m.2:00 p.m.
MAA Minicourse #8: Part A
Knot theory for undergraduates
Organizers:
Stefanos Gialamas, Columbia College

Friday August 9, 1991, 12:00 p.m.2:00 p.m.
MAA Minicourse #9: Part A
Unifying themes for discrete mathematics
Organizers:
Ralph Grimaldi, RoseHulman Institute of Technology

Friday August 9, 1991, 12:00 p.m.4:55 p.m.
AMS General Session, II

12:00 p.m.
Classical formulations of the Maxwell equations.
Arjan S. Mirchandaney, Defiance College
Domina E. Spencer, University of Connecticut, Storrs
Shama Y. Uma*, Bridgewater State College
Philip J. Mann, University of Connecticut, Storrs
(86731168)

12:15 p.m.
Gaussian formulations of the Maxwell equations.
Arjan S. Mirchandaney, Defiance College
Domina E. Spencer, University of Connecticut, Storrs
Shama Y. Uma, Bridgewater State College
Philip J. Mann*, University of Connecticut, Storrs
(86731169)

12:30 p.m.
A vector method of solving potential equations with Neumann boundary conditions.
Gerard Coutu*, Hartford Graduate Center
Domina Eberle Spencer, University of Connecticut, Storrs
Wallace W. Bowley, University of Connecticut, Storrs
(86731170)

12:45 p.m.
The limits for Jacobi function of the second kind.
Mihr J. Shah*, Kent State University
(8673333)

1:00 p.m.
Dirichlet averages and Bsplines.
B. C. Carlson*, Iowa State University
(86733103)

1:15 p.m.
Behavior of the integral curves of differential systems near a singular point.
Zhivko S. Athanassov*, Bulgarian Academy of Sciences, Bulgaria
(86734112)

1:30 p.m.
Weighted composition operators, semigroups, linear skewproduct flows,spectral theory and the multiplicative ergodic theorem.
Yuri D. Latushkin*, Mathematical Sciences Research Institute, Berkeley
(86734174)

1:45 p.m.
The perturbed Toda lattice.
Russell L. Herman*, University of North Carolina, Wilmington
(86735147)

2:00 p.m.
Complex sequences whose "moments" all vanish.
W. M. Priestley*, University of the South
(86740138)

2:15 p.m.
Smooth interpolating curves and surfaces generated by iterated function systems.
Peter R. Massopust*, Vanderbilt University
(8674128)

2:45 p.m.
Amenable left Banach L^1(G)modules and subspaces of L^infinity(G).
A. G. Myasnikov*, Moscow Civil Engineering Insitute, USSR
(8674302)

3:00 p.m.
Theorems on Stieltjes type integral transforms and their applications.
Osman Yurekli*, Ithaca College
(86744141)

3:15 p.m.
Some multidimensional Laplace transforms involving radical form.
M. Vinayagamoorthy*, Arkansas College
(86744116)

3:30 p.m.
The analytic Poincare inequality and trace class operators.
Valentin Andreev*, Lamar University
(86746183)

3:45 p.m.
Trylonizations revisited.
Rodney T. Hood*, Franklin College
(86751189)

4:00 p.m.
On the estimate of the first eigenvalue of the Laplacian on a compact Riemannian manifold.
Dong Pyo Chi*, Seoul National University, Korea
(8675305)

4:15 p.m.
A note on w cap delta spaces.
G. R. Hiremath*, Talladega College
(8675451)

4:30 p.m.
Whitney duality theorems for simplicial manifolds.
Ockle E. Johnson*, Saint Olaf College
(86757155)

4:45 p.m.
The stabilization of a linearized selfexcited wave equation by an energy absorbing boundary.
G. R. Sarhangi*, Wichita State University
Mahmond M. Najafi, Wichita State University
H. K. Wang, Wichita State University
(86793195)

Friday August 9, 1991, 12:00 p.m.3:55 p.m.
MAA Session on Relating Mathematics to the Real World: Applications of Mathematics for Classroom Use

12:00 p.m.
Applications of algebra to environomental issues.
Christopher Schaufele*, Kennesaw State College
Nancy Zumoff, Kennesaw State College

12:30 p.m.
Life in the fast lane, a problem from the Indy 500.
John H. Rickert*, RoseHulman Institute of Technology

1:00 p.m.
Lifetime of geothermal injection wells.
John Beebee*, University of Alaska, Anchorage

1:30 p.m.
Iceberg drift prediction model.
Ted Lindstrom, United States Coast Guard Academy
Ernest Manfred*, United States Coast Guard Academy

2:00 p.m.
Indepth applications for a differential equations course.
Leslie Hogben*, Iowa State College, Ames

2:30 p.m.
A differentialdifference equation modeling human circulatory systems.
Herbert R. Bailey*, RoseHulman Institute of Technology

3:00 p.m.
Relating mathematics to the real world: Applications of mathematics for classroom use.
Robert D. Larsson*, Schenectady, New York

3:30 p.m.
Summary and General Discussion

Friday August 9, 1991, 12:00 p.m.1:40 p.m.
MAA Session on Using Student Projects in the First Two Years of the Curriculum, II

12:00 p.m.
Introduction

12:00 p.m.
Student projects in an algebraic and discrete structures course.
William A. Marion*, Valparaiso University

12:25 p.m.
Community college calculus collaborative computer projects.
Lawrence Sher*, Manhattan Community College

12:45 p.m.
Computer projects in calculus and differential equations.
William W. Farr*, Worcester Polytechnic Institute
Paul W. Davis, Worcester Polytechnic Institute

1:05 p.m.
A projectsbased calculus. II.
John C. Maceli*, Ithaca College

1:25 p.m.
Using student projects in the first two years of the curriculum.
Shrinivas S. Dalal*, EmbryRiddle Aeronautical University

Friday August 9, 1991, 12:00 p.m.2:55 p.m.
MAA Undergraduate Student Paper Session, I

12:00 p.m.
Residual lifetimes in large random parallel systems.
Kiran L. Shrestha*, Gustavus Adolphus College

12:20 p.m.
Relations between YAG Ramsey numbers and the classical Ramsey numbers.
Michael A. Falcone*, Wesleyan University

12:40 p.m.
Dihedral rewritability.
Cheryl Grood*, University of Michigan, Ann Arbor

1:00 p.m.
Tests for randomness in spatial distributions: A new statistical method for testing small samples.
Steven Kushner*, George Washington High School and Hahnemann University

1:20 p.m.
Power in the British Parliament: Will reform be more "Democratic"?
Robin Taylor*, Drake Univesity

1:40 p.m.
Fibonacci sequences modulo m.
Marion Shirley*, Kansas Wesleyan University

2:00 p.m.
Application of differential equations to naval aircraft launching.
Jeremy Wayne Chapman*, EmbryRiddle Aeronautical University

2:20 p.m.
Increased fuel efficiency in automobiles.
Steven Richard Lehr*, EmbryRiddle Aeronautical University

2:40 p.m.
Monopoly variations and Markov chains.
Laurence Murphy*, Wittenberg University

Friday August 9, 1991, 12:00 p.m.4:45 p.m.
PME Contributed Paper Session

Friday August 9, 1991, 12:00 p.m.4:45 p.m.
PME Contributed Paper Session

Friday August 9, 1991, 12:00 p.m.4:45 p.m.
PME Contributed Paper Session

Friday August 9, 1991, 12:00 p.m.1:00 p.m.
National Science Foundation Informal Discussion Group

Friday August 9, 1991, 12:00 p.m.1:30 p.m.
MAA CUPM Subcommittee on the Undergraduate Major Panel Discussion
The major in the mathematical sciencesLooking forward
Speakers:
Richard Alo,
Jerry L. Bona,
Organizers:
Bettye Anne Case,
Speakers:
J. Kevin Colligan,
William A. Marion,
Samuel M. Rankin, III,
Alan C. Tucker,

Friday August 9, 1991, 12:30 p.m.3:20 p.m.
AMS Special Session on Variational Methods, Differential Analysis and Symmetry, II

12:30 p.m.
Some examples of nonminimal solutions of the Higgs equations.
L. M. Sibner*, Polytechnic University of New York
Janet C. Talvacchia, Swarthmore College
(86753142)

1:00 p.m.
A nonstandard elliptic theory: Boundary value problems for connections.
Antonella Marini*, Courant Institute of Mathematical Sciences, New York University
(86735157)

1:30 p.m.
An equivariant Morse theory for YangMills.
Thomas H. Parker*, Michigan State University
(86753107)

2:00 p.m.
Constructing approximate monopoles on certain 3manifolds.
L. M. Sibner, Polytechnic University of New York
R. J. Sibner*, Brooklyn College, City University of New York
(86753143)

2:30 p.m.
On the essential spectrum of a class of Laplaceans.
Robert Lockhart*, United States Naval Academy
(8675898)

3:00 p.m.
Singularities and the conformal Scalar curvature equation.
Robert C. McOwen*, Northeastern University
(86735136)

Friday August 9, 1991, 1:45 p.m.3:30 p.m.
MAA Science Policy Committee & AMS Committee on Science Policy Panel Discussion
Report on MS 2000
Presenters:
Lida Barrett,
Speakers:
William E. Kirwan,
Ivar Stakgold,
Organizers:
John A. Thorpe,

Friday August 9, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #1: Part B
Julia sets and the Mandelbrot set
Organizers:
Robert L. Devaney, Boston University

Friday August 9, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #2: Part B
Integrating calculus and physics for freshmen
Organizers:
Joan R. Hundhausen, Colorado School of Mines
F. Richard Yeatts, Colorado School of Mines

Friday August 9, 1991, 3:00 p.m.5:00 p.m.
MAA Minicourse #3: Part B
Making mathematics more concrete
Organizers:
Agnes Azzolino, Mathematical Concepts

Friday August 9, 1991, 3:00 p.m.5:00 p.m.
MAA SUMMA Workshop
Intervention Programs
Organizers:
William A. Hawkins, Director of SUMMA
Speakers:
Bonnie Berken, St. Norberts College
Paul J. Sally, Jr., University of Chicago

Friday August 9, 1991, 3:30 p.m.4:30 p.m.
MAA Session
1991 Mathematical Contest in Modeling
Organizers:
B. A. Fusaro, Salisbury State University

Friday August 9, 1991, 3:45 p.m.5:00 p.m.
MAA Committee on Assessment Panel Discussion
Mathematics assessment: A national perspective

Friday August 9, 1991, 5:00 p.m.6:00 p.m.
CBMS Session
1990 CBMS Survey of Undergraduate Programs in the Mathematical Science and Computer Science
Organizers:
Don Rung, Pennsylvania State University

Friday August 9, 1991, 6:00 p.m.7:30 p.m.
MAA Committee on the Participation of Women Presentation
Changing the Climate\endash Repeat of 1990 skits

Friday August 9, 1991, 6:15 p.m.7:15 p.m.
Joint Policy Board for Mathematics and Office of Governmental and Public Affairs Forum
The academic employment situation for mathematicians
Speakers:
Don McClure, Borwn University

Friday August 9, 1991, 7:30 p.m.8:30 p.m.
PME J. Sutherland Frame Lecture
Some mathematics of baseball.
Henry O. Pollak*, Bell Communications Research and Teacher's College, Columbia University
Inquiries: meet@ams.org