Joint Mathematics Meetings Program by Day
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1993 Joint Mathematics Meetings
San Antonio, TX, January 1316, 1993
Meeting #878
Associate secretaries:
W Wistar Comfort, AMS wcomfort@wesleyan.edu
Kenneth A Ross, MAA ross@math.uoregon.edu
Friday January 15, 1993

Friday January 15, 1993, 8:00 a.m.10:50 a.m.
AMSMAA Special Session on The State of Research in Undergraduate Mathematics Education: Problems and Prospects, I

8:00 a.m.
Undergraduate students' interpretations of statements of theorems.
John Selden, Vanderbilt University
Annie Selden*, Tennessee Technological University
(87898580)

8:40 a.m.
On learning fundamental concepts of group theory.
Rina Zazkis*, Simon Fraser University,
(87898258)

9:15 a.m.
Visualization in advanced mathematical thinking.
Libby Krussel*, State University of New York, College at Cortland
(87898415)

9:50 a.m.
Teachers' understanding of recursion.
Eric W. Hart*, Maharishi International University
(87898904)

10:25 a.m.
Leaks in the pipeline: College women's persistence in engineering and physical science from entry to graduation.
Ann K. Schonberger*, University of Maine, Orono
(87898533)

Friday January 15, 1993, 8:00 a.m.10:50 a.m.
AMS Special Session on History of General Topology, I

8:00 a.m.
Toward an outline history of general topology.
C. E. Aull*, Virginia Polytech Institute & State University
(87854353)

8:30 a.m.
Maurice Frechet and abstract general topology.
Angus E. Taylor*, University of California, Berkeley
(87801135)

9:00 a.m.
Dilemma in topolgy (and in science): Bizarre vs. common.
Andrew Lelek*, University of Houston
(87854427)

9:30 a.m.
The AlexandroffSorgenfrey line.
Douglas E. Cameron*, Clemson University
(87854429)

10:00 a.m.
The history of some famous counterexamples in topology.
Stephen Watson*, York University,
(87801800)

10:30 a.m.
Counterexamples in topology.
George M. Reed*, University of Oxford, England
(87854633)

Friday January 15, 1993, 8:00 a.m.10:50 a.m.
AMS Special Session on Commutative Algebra, I

8:00 a.m.
Strong Prufer rings and the ring of finite fractions.
Thomas G. Lucas*, University of North Carolina, Charlotte
(87813213)

8:30 a.m.
On the embedded primary components of ideals, I.
William Heinzer*, Purdue University, West Lafayette
L. J. Ratliff, Jr., University of California, Riverside
Kishor Shah, Southwest Missouri State University
(87813129)

9:00 a.m.
Feedback cyclization over PID's.
James W. Brewer*, Florida Atlantic University
Lee C. Klingler, Florida Atlantic University
(87813417)

9:30 a.m.
Equivariant asanuma algebras.
Hyman Bass*, Columbia University
(87813309)

10:00 a.m.
The probability of maximal rank for a matrix over a finite field.
David E. Dobbs*, University of Tennessee, Knoxville
Mark J. Lancaster, University of Tennessee, Knoxville
Robert M. McConnel, University of Tennessee, Knoxville
(87813171)

10:30 a.m.
Almost Dedekind domains and integer valued polynomials.
Alan Loper*, Ohio State University, Newark
(87813413)

Friday January 15, 1993, 8:00 a.m.10:50 a.m.
AMS Special Session on Operator Theory and Triangular Operator Algebras, I

8:00 a.m.
Mayer Vietoris for Hochschild cohomolgy of operator algebras.
Frank L. Gilfeather*, University of New Mexico
Florin Pop, University of New Mexico
Roger R. Smith, Texas A\thsp\&\thsp M University, College Station
(87847438)

8:30 a.m.
Trace formulas and complete unitary invariant for some subnormal tuples.
Daoxing Xia*, Vanderbilt University
(8784747)

9:00 a.m.
When locally contractive representations are completely contractive.
Kenneth R. Davidson*, University of Waterloo
(87847458)

9:30 a.m.
Nonstationary function theory: Point evaluation, NevanlinnaPick interpolation and commutant lifting.
Joseph A. Ball*, Virginia Polytechnic Institute and State University
(87847260)

10:00 a.m.
Reflexivity of subnormal operators and ntuples.
John E. McCarthy*, Washington University
(87847142)

10:30 a.m.
Some results on maximal triangular algebras.
John L. Orr*, University of Nebraska, Lincoln
(87847935)

Friday January 15, 1993, 8:00 a.m.10:50 a.m.
AMS Special Session on Integrodifferential Equations: Stability and Control, I

8:00 a.m.
Trends in stability theory for IDE's of Volterra type.
V. Lakshmikantham*, Florida Institute of Technology
(87834274)

8:30 a.m.
Integrodifferential equations as models for the spread of communicable diseases.
Fred Brauer*, University of Wisconsin, Madison
(8789243)

9:00 a.m.
Weak exponential stability for IDE's of Volterra type.
S. Leela*, State University of New York, College at Geneseo
(87834273)

9:30 a.m.
Differential approximations for viscoelasticity.
R. C. MacCamy*, Carnegie Mellon University
(87845360)

10:00 a.m.
Optimal control of infinite dimensional systems governed by integro differential equations.
N. U. Ahmed*, University of Ottawa
(8789371)

10:30 a.m.
Discussion

Friday January 15, 1993, 8:00 a.m.10:50 a.m.
AMS Special Session on Low Dimensional Geometric Dynamical Systems, II

8:00 a.m.
Smooth immersions of hypersurfaces.
Michael Hirsch, Princeton University
Charles Pugh*, University of California, Berkeley
(87858781)

8:30 a.m.
A zeta function for positive templates.
Mike Sullivan*, University of Texas, Austin
(8785822)

9:00 a.m.
A new CayleyHamilton theorem.
Stephen Kennedy, Saint Olaf College
Matthew Stafford*, Northwestern University
R. F. Williams, University of Texas, Austin
(87858498)

9:30 a.m.
A cutting and stacking approach to pseudoAnosov automorphisms.
C. R. Carroll*, State University of New York at Stony Brook
(87858675)

10:00 a.m.
Dynamics of annulus homeomorphisms.
Philip Boyland*, State University of New York, College at Stony Brook
(87858655)

10:30 a.m.
Structural stability in competitive and cooperative systems of ODEs.
Morris W. Hirsch*, University of California, Berkeley
(87834345)

Friday January 15, 1993, 8:00 a.m.10:00 a.m.
MAA Minicourse \#10: Part A
Why, when and how to use CAS calculators in calculus and differential equations instruction
Organizers:
John Kenelly, Clemson University
Gil Proctor, Clemson University

Friday January 15, 1993, 8:00 a.m.10:00 a.m.
MAA Minicourse \#11A: Part A
Using group projects in calculus
Organizers:
Stephen Hilbert, Ithaca College
John Maceli, Ithaca College
Eric Robinson, Ithaca College
Diane Schwartz, Ithaca College
Stanley Seltzer, Ithaca College

Friday January 15, 1993, 8:00 a.m.10:00 a.m.
MAA Minicourse \#12: Part A
Bringing calculus to life
Organizers:
Robert Decker, University of Hartford
John K. Williams, University of Hartford

Friday January 15, 1993, 8:00 a.m.10:00 a.m.
MAA Minicourse \#13: Part A
Teaching mathematical modeling
Organizers:
J. S. Hartzler, Pennsylvania State University, Harrisburg

Friday January 15, 1993, 8:00 a.m.10:55 a.m.
AMS Session on ComplexValued Functions, II

8:00 a.m.
Integrals of products of Bessel functions and applications.
Mihr Jahanian Shah*, Kent State University
(87833426)

8:15 a.m.
Positive holomorphic line bundles over compact, flat manifoldsan algebraic description.
N. Michelacakis*, University College of London, England
(87832128)

8:30 a.m.
BMO functions and global integrability of the gradient.
Craig A. Nolder*, Florida State University
(87830879)

8:45 a.m.
Circle packing mappings form regularly exhaustible surfaces.
Kevin Callahan*, University of California at San Diego, La Jolla
(87830312)

9:00 a.m.
Some simple criteria for starlikeness and convexity.
Petru T. Mocanu*, Bowling Green State University
(8783056)

9:15 a.m.
Differential inequalities and boundedness preserving integral operators.
Sanford Miller*, State University of New York, College at Brockport
Petru Mocanu, BabesBolyai University, Romania
(87830507)

9:30 a.m.
The L^ptheory of first order elliptic systems of PDE's.
Qazi M. Dawood*, Syracuse University
(87830487)

9:45 a.m.
Application of a distortion theorem to uniqueness of circle packings.
Tomasz Dubejko*, University of Tennessee, Knoxville
Kenneth Stephenson, University of Tennessee, Knoxville
(87830823)

10:00 a.m.
Sieved orthogonal polynomials.
Blaise DeSesa*, Drexel University
(87833389)

10:15 a.m.
Stirling relationships, II.
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
(8781117)

10:30 a.m.
Asymptotic formulas for the coefficients in the expansions of certain modular forms.
Paul Bialek*, University of Illinois, UrbanaChampaign
(87811197)

10:45 a.m.
Nondiscrete discrepancy applications of a generalized energy integral.
Allen D. Rogers*, Elmhurst College
(87811848)

Friday January 15, 1993, 8:00 a.m.10:40 a.m.
AMS Session on Number Theory

8:00 a.m.
An extension of a classical diophantine problem, II.
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
Gerald E. Bergum, United States Military Academy
(8781116)

8:15 a.m.
Polynomials with a given discriminant over fields of algebraic functions of arbitrary characteristic.
Alexandra Shlapentokh*, East Carolina University
(87811234)

8:30 a.m.
Diagonalizing spaces of Hilbert cusp forms.
Timothy W. Atwill*, Dartmouth College
(87811302)

8:45 a.m.
A radial ErdosTuran inequality.
Jeffrey J. Holt*, University of Texas, Austin
(87811253)

9:00 a.m.
On construction of Jacobi forms.
Youngju Choie*, Pohang Institute of Science & Technology, Korea
Hyun Kwang Kim, Pohang Institute of Science & Technology, Korea
(87811930)

9:15 a.m.
Eigenvectors of circulant matrices of prime dimension.
Andrew J. Lazarus*, Berkeley, California
(87811887)

9:30 a.m.
On concentrating sums of exponentials.
J. Marshall Ash*, DePaul University
(87811874)

9:45 a.m.
A computer search for hexadecimal narcissistic numbers and loops.
John F. Lamb, Jr.*, East Texas State University
(8781186)

10:00 a.m.
A propriety of smarandache function.
J. Thompson*, Tuscon, Arizona
(87811758)

10:15 a.m.
A Lucastype theorem for fibonomialcoefficient residues.
John M. Holte*, Gustavus Adolphus College
(87811391)

10:30 a.m.
Elliptic units of cyclic unramified extensions of complex quadratic fields.
Farshid Hajir*, Massachusetts Institute of Technology
(8781161)

Friday January 15, 1993, 8:00 a.m.10:55 a.m.
AMS Session on Fourier Analysis and Nonlinear Equations

8:00 a.m.
On generalized dfunctionals.
Bernd S. W. Schr\"oeder*, Hampton University
(87842194)

8:15 a.m.
Monotonic doubling measures on the unit circle.
David CruzUribe, SFO*, University of California, Berkeley
(87842928)

8:30 a.m.
The uncertainty principle on Cayley graphs.
Elinor Velasquez*, University of California, Berkeley
(87842889)

8:45 a.m.
Comparisons of absolutely convergent Fourier series.
ChinCheng Lin, National Central University
WeiChi Yang*, Radford University
(87842663)

9:00 a.m.
Hypercontractive estimates for a class of probability measures.
J. Michael Pearson*, Mississippi State University
(87842788)

9:15 a.m.
Construction of a family of continuous wavelets via infinite products of two simultaneously triangularizable or symmetrizable matrices.
Mohsen Maesumi*, Lamar University
(87842851)

9:30 a.m.
Orthogonal wavelets on the Cantor dyadic group.
W. Christopher Lang*, Mississippi State University
(87843750)

9:45 a.m.
New results on association of variables for solution of non linear equations.
Joyati Debnath*, Winona State University
(8784415)

10:00 a.m.
Numerical inversion of multidimensional Laplace transforms.
M. V. Moorthy*, Ohio Dominican College
(87844606)

10:15 a.m.
Tempered boehmians.
Piotr Mikusinski*, University of Central Florida
(87844265)

10:30 a.m.
On the existence and uniqueness for nonlinear integrodifferential equations.
Mohammad Khavanin*, University of North Dakota
(87845618)

10:45 a.m.
Nonlinear integral equations which model explosive behavior.
Catherine A. Roberts*, University of Rhode Island
(87845130)

Friday January 15, 1993, 8:00 a.m.10:55 a.m.
AMS Session on Manifolds of Low Dimension

8:00 a.m.
Compact cores of good 3orbifolds.
Elizabeth Camp McGuire*, Virginia Military Institute
(8785728)

8:15 a.m.
Onedimensional properties of pairs of transverse measured foliations without connections.
Lev Slutskin*, New York, New York
(87857170)

8:30 a.m.
Vertexminimal immersions of the Klein bottle into threespace.
Davide P. Cervone*, Brown University
(87857670)

8:45 a.m.
On 4dimensional bundle theories.
Duane Randall*, Loyola University
(87857657)

9:00 a.m.
An invariant for cyclic covers of s^3 branched over torus knots.
John W. Emert*, Ball State University
(87857878)

9:15 a.m.
Free reductions and deformations of two complexes in four manifolds.
Paul J. Kapitza*, University of Illinois, UrbanaChampaign
(87857720)

9:30 a.m.
A new invariant for split 2complexes in 4manifolds.
W. T. Haight, II*, University of Illinois, UrbanaChampaign
(87857689)

9:45 a.m.
The complements of classical wild sets.
Ronald J. Knill*, Tulane University
(87857165)

10:00 a.m.
Classification of taut foliations of knot complements.
John Cantwell*, Saint Louis University
Lawrence Conlon, Washington University
(87857160)

10:15 a.m.
Higherorder flatness of immersed manifolds.
Jeff C. Lutgen*, University of Oregon
(87857550)

10:30 a.m.
Higher order Conway invariants for links.
Fred Hickling*, Santa Clara University
(87857587)

10:45 a.m.
On the ribbon disc complement conjecture.
Catherine E. Cavagnaro*, University of Illinois, UrbanaChampaign
(87857687)

Friday January 15, 1993, 8:00 a.m.10:55 a.m.
AMS Session on Functional Analysis, I

8:00 a.m.
Spectrum of FP operator.
Jiu Ding*, University of Southern Mississippi
Q. Du, Michigan State University
T. Y. Li, Michigan State University
(87846188)

8:15 a.m.
Relative spectra in complete LMC algebras.
Michael E. Boardman*, Lake Forest College
(87846219)

8:30 a.m.
Dense subalgebras of C^*algebras.
Larry B. Schweitzer*, University of California, Berkeley
(87846223)

8:45 a.m.
Analogues of the FejerRiesz theorem for the Dirichlet spaces.
Valentin V. Andreev*, Lamar University
(87846716)

9:00 a.m.
State space of an LMCalgebra as an inductive limit.
A. K. Gaur*, Duquesne University
(87846511)

9:15 a.m.
Free product von Neumann algebras of type III.
Lance Barnett*, University of California, Los Angeles
(87846481)

9:30 a.m.
L_1 of a vector measure.
Gunnar Stefansson*, Pennsylvania State University, Altoona
(87846467)

9:45 a.m.
Perturbations of von Neumann algebras.
Florin Pop*, University of New Mexico
(87846242)

10:00 a.m.
Some remarks on nonmaximal closed prime ideals in commutative Banach algebras.
Ramesh V. Garimella*, Northwest Missouri State University
(87846356)

10:15 a.m.
Bundles of Banach algebras.
J. W. Kitchen, Duke University
D. A. Robbins*, Trinity College
(87846328)

10:30 a.m.
A new class of Banach spaces.
Tepper L. Gill*, Howard University
(87846397)

10:45 a.m.
Saturated actions of finite dimensional Hopf ^*algebras on C^*algebras.
Costel Peligrad, University of Cincinnati, Cincinnati
Wojciech Szymanski*, University of Cincinnati, Cincinnati
(87846384)

Friday January 15, 1993, 8:00 a.m.10:55 a.m.
MAA Session on ``Capstone'' Courses for Senior Mathematics Majors, I

8:00 a.m.
Using an historical development of the foundations of mathematics for a capstone course.
Robert L. Brabenec*, Wheaton College
(878001010)

8:30 a.m.
Mathematical modeling using projects from industry.
Thomas Kelley*, Metropolitan State College of Denver
(878001024)

8:45 a.m.
Videos and vastness.
Scott H. Hochwald*, University of North Florida
(878001019)

9:00 a.m.
A multiskill history of mathematics course.
Pam Crawford, RandolphMacon College
Christopher E. Barat*, RandolphMacon College
(878001008)

9:15 a.m.
Cryptology as a capstone course.
John F. Kurtzke*, University of Portland
(878001025)

9:30 a.m.
Including a capstone experience in existing courses.
Mary Beth Dever*, Illinois Benedictine College
(878001014)

9:45 a.m.
Experiences for senior mathematics majors.
Deborah A. Frantz*, Kutztown University of Pennsylvania
(878001016)

10:00 a.m.
Using outcomes assessment to design a capstone course.
Marie Sheckels*, Mary Washington College
(878001033)

10:15 a.m.
A ``capstone" course in a small liberal arts college.
Richard M. Park*, Franklin College
(878001030)

10:30 a.m.
The senior seminar at Hamilton College.
Richard Bedient*, Hamilton College
Sally Cockburn, Hamilton College
Larry Knop, Hamilton College
(878001009)

Friday January 15, 1993, 8:00 a.m.9:55 a.m.
MAA Session on Teaching Mathematics to Multicultural and Multilingual Students, I

8:00 a.m.
What can mathematics education for indigenous peoples teach us? A report from ICME7.
Emelie A. Kenney*, Siena College
(878001158)

8:30 a.m.
Mathematical hemispheric preference among minority community college students.
Ronald Sklar*, St. John's University
(878001160)

9:00 a.m.
Instructional programming for a diverse society.
Charles Roberts*, Michigan State University
(878001159)

Friday January 15, 1993, 8:00 a.m.10:35 a.m.
MAA Session on Use of Visualization in the Teaching of Mathematics, II

8:00 a.m.
Solids for teaching volume calculation.
Robbin Lerch O'Leary*, Seattle Pacific University
(878001176)

8:15 a.m.
Visualization in mathematics through spreadsheets.
Deane Arganbright*, Whitworth College
(878001161)

8:40 a.m.
Visualization of group theory concepts using "The Geometer's Sketchpad".
Doris Schattschneider*, Moravian College
(878001180)

8:55 a.m.
Teaching geometry with interactive, programmable software  Sketchpad, CABRI, and Logo.
James King*, University of Washington
(878001172)

9:20 a.m.
Visualization in elementary partial differential equations.
William E. Boyce*, Rensselaer Polytechnic Institute
(878001164)

9:35 a.m.
Visualization exercises for multivariable calculus.
Caspar R. Curjel*, University of Washington
(878001165)

10:00 a.m.
Visualization in calculus and linear algebra using animated 3D graphing with GyroGraphics^tm.
Jerry A. Johnson*, Oklahoma State University
Stephen R. Murdock, Tulsa Junior College
(878001171)

10:25 a.m.
Teaching numerical analysis with MapleV at small colleges.
ShineMin Lin*, Bethel College
(878001173)

Friday January 15, 1993, 8:00 a.m.9:20 a.m.
MAA Science Policy Committee Panel Discussion
Mathematics, demographics, and the politics of statewide reform

Friday January 15, 1993, 8:00 a.m.10:55 a.m.
AMSMAA Poster Session
Calculus reform

Friday January 15, 1993, 8:00 a.m.9:00 a.m.
AMSLaTex Presentation
Informal seminar

Friday January 15, 1993, 8:15 a.m.10:55 a.m.
AMS Session on Algebraic Topology

8:15 a.m.
On the index of vector fields and electrostatics.
Malhab C. Keirouz*, University of Puerto Rico, Humacao College
(87855111)

8:30 a.m.
Computer search for nilpotent complexes.
Robert H. Lewis*, Fordham University
Guy Moore, Princeton University
(87855204)

8:45 a.m.
A note on the KirbyMelvin formulation of the Witten 3manifold invariant, II.
Francis D. Lonergan*, Webster, Massachusetts
(8785537)

9:00 a.m.
The semilocalization of a one pointed Kan complex.
Phillip B. Thurber*, Lewis & Clark College
(87855688)

9:15 a.m.
Finding the inverse of a matrix using Newton's method.
N. R. Nandakumar*, Delaware State College
(87855832)

9:30 a.m.
Enhanced cohomology and obstruction theory.
M. A. Galecki*, University of Tennessee, Knoxville
(87855910)

9:45 a.m.
Transition functions for abelian lattice gauge fields on the ntorus.
Janet C. Woodland*, State University of New York, College at Stony Brook
(87855853)

10:00 a.m.
Computability of the local generalized HLefschetz number.
Evelyn L. Hart*, Hope College
(8785573)

10:15 a.m.
Transfer and steenrod squares.
Peter Litvanyi*, University of Alaska, Fairbanks
(87855466)

10:30 a.m.
Estimation of Nielson type numbers for periodic points.
Peter Wong*, Bates College
(87855310)

10:45 a.m.
Obstruction theory for diagrams.
Robert J. Piacenza*, University of Alaska, Fairbanks
(87855131)

Friday January 15, 1993, 9:00 a.m.9:50 a.m.
AMS Invited Address
General hypergeometric functions and the representation theory of Lie algebras and quantum groups.
Alexander Varchenko*, University of North Carolina, Chapel Hill
(87800959)

Friday January 15, 1993, 9:00 a.m.9:50 a.m.
ASL Invited Address
Inner models, class forcing, and the structure of V.
Sy Friedman*, Massachusetts Institute of Technology

Friday January 15, 1993, 9:00 a.m.10:50 a.m.
AMS Special Session on Eigenvalues in Riemannian Geometry, I

8:00 a.m.
Discussion

9:00 a.m.
Dimension, volume, and spectrum of a Riemannian manifold.
Jeffrey M. Lee*, Texas Tech University
(87853701)

9:30 a.m.
Spectral geometry in dimension 3.
Robert Brooks*, University of California, Los Angeles
Peter Perry, University of Kentucky
Peter Petersen, University of California, Los Angeles
(87858297)

10:00 a.m.
Remarks on Dirichlet and Neumann eigenvalues.
L. Friedlander*, University of Arizona
(87835455)

10:30 a.m.
Microlocal analysis of some isospectral deformations.
F. Marhuenda*, University of Alicante
(87858294)

Friday January 15, 1993, 9:30 a.m.10:55 a.m.
MAA Panel Discussion
Precalculus reform

Friday January 15, 1993, 9:30 a.m.10:55 a.m.
MAA CUPM Subcommittee on Quantitiative Literacy Requirements Panel Discussion
Tilting at windmills\endash Quantitative literacy for college students

Friday January 15, 1993, 9:35 a.m.10:55 a.m.
AMS Panel Discussion
Advanced test of the Graduate Record Examination

Friday January 15, 1993, 10:00 a.m.10:50 a.m.
ASL Invited Address
Automorphism properties of the lattice of r.e. sets.
E. Herrmann*, Humboldt University, Berlin

Friday January 15, 1993, 10:05 a.m.10:55 a.m.
AMS Invited Address
Quantum groups: At the gates of the noncommutative world.
Leon A. Takhtajan*, State University of New York, Stony Brook
(87800957)

Friday January 15, 1993, 11:10 a.m.12:00 p.m.
AMSMAA Invited Address
Signsolvable linear systems and their matrices.
Richard A. Brualdi*, University of Wisconsin, Madison
(87800951)

Friday January 15, 1993, 12:00 p.m.1:00 p.m.
National Science Foundation Informal Discussion Group

Friday January 15, 1993, 1:00 p.m.2:00 p.m.
Colloquium Lectures: Lecture III
Nonlinear differential equations and Lagrangian corodinates.
Luis A. Caffarelli*, Institute for Advanced Study

Friday January 15, 1993, 1:00 p.m.1:50 p.m.
ASL Invited Address
The complexity of counting prinicples.
Toniann Pitassi*, University of California at San Diego, La Jolla

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMSMAA Special Session on The State of Research in Undergraduate Mathematics Education: Problems and Prospects, II

1:00 p.m.
Qualitative modes of research applied to undergraduate mathematics education: Promise and potential pitfalls.
M. Kathleen Heid*, Pennsylvania State University, University Park
(87898610)

1:40 p.m.
Issues in the use of qualitative methods for research in mathematics education.
Alan Schoenfeld*, University of California, Berkeley
(87898579)

2:15 p.m.
Making sense of students' sensemaking: The mathematics education researcher as anthropologist.
Steven Monk*, University of Washington
(87898404)

2:50 p.m.
Assessment of prerequisite mathematics vocabulary terms for intermediate and college algebra: Culture and gender difference.
Frances A. Rosamond*, National University
Cynthia A. Miller, Georgia State University
Brenda D. Smith, Georgia State University
(87898632)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Banach Space Theory, I

1:00 p.m.
A distributional version of Rosenthal's inequality for identically distributed random variables.
S. J. MontgomerySmith*, University of Missouri, Columbia
(8786083)

1:30 p.m.
From weak to strong types of L1 convergence.
Maria Girardi*, University of South Carolina, Columbia
Erik Balder, University of Utrecht, Netherlands
(87846786)

2:00 p.m.
Isometries of rearrangementinvariant function spaces.
Nigel Kalton*, University of Missouri, Columbia
Beata Randrianantoanina, University of Missouri, Columbia
(87846238)

2:30 p.m.
Random Banach spaces. The limitations of the method.
S. Szarek*, Case Western Reserve University
P. Mankiewicz, Polish Academy of Sciences, Poland
(87846739)

3:00 p.m.
An inequality that implies the fixed point property in Banach spaces.
Mohamed A. Khamsi*, University of Texas at El Paso
(87846277)

3:30 p.m.
A l_1predual which is not isomorphic to an A(K) space.
Dale E. Alspach*, Oklahoma State University, Stillwater
(87846347)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on History of General Topology, II

1:00 p.m.
Observations on topologies of the 1940's.
A. H. Stone*, Northeastern University
(8785453)

1:30 p.m.
Witold Hurewicz and dimension theory.
K. Kuperberg*, Auburn University, Auburn
(87801497)

2:00 p.m.
The work and influence of R. L. Moore.
Ben Fitzpatrick, Jr.*, Incarnate Word College
(8780132)

2:30 p.m.
Bing's general topology.
Michael Starbird*, University of Texas, Austin
(87854673)

3:00 p.m.
The early work of F. B. Jones.
Mary Ellen Rudin*, University of Wisconsin, Madison
(8785403)

3:30 p.m.
The history of the normal Moore space problem.
Peter J. Nyikos*, University of South Carolina, Columbia
(87801761)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Commutative Algebra, II

1:00 p.m.
Torsion in the genus class group.
Roger Wiegand*, University of Nebraska, Lincoln and Purdue University, West Lafayette
(87813653)

1:30 p.m.
Some factorization properties of Krull domains with infinite cyclic divisor class group.
David F. Anderson*, University of Tennessee, Knoxville
Scott T. Chapman, Trinity University
William W. Smith, University of North Carolina, Chapel Hill
(8781392)

2:00 p.m.
Prime tideals in polynomial rings.
Evan G. Houston*, University of North Carolina, Charlotte
(8781366)

2:30 p.m.
Finitely generated monoids of fractional ideals.
D. D. Anderson, University of Iowa
Joe L. Mott*, Florida State University
J. Park, University of Iowa
(87813779)

3:00 p.m.
Prime ideal structure of birational extensions of polynomial rings.
William J. Heinzer, Purdue University, West Lafayette
David Lantz, Colgate University
Sylvia Wiegand*, University of Nebraska, Lincoln and Purdue University, West Lafayette
(87813822)

3:30 p.m.
Twogenerated ideals in nonnoetherian commutative rings.
David E. Rush*, University of California, Riverside
(87813654)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Operator Theory and Triangular Operator Algebras, II

1:00 p.m.
Hilbert modules over the bounded analytic functions on a domain and applications.
Robert F. Olin*, Virginia Polytech Institute & State University
(87847911)

1:30 p.m.
Compression limit algebras.
Alan Hopenwasser*, University of Alabama
Cecelia Laurie, University of Alabama
(87847459)

2:00 p.m.
An operatortheoretic approach to wavelet theory.
Xingde Dai*, University of North Carolina, Charlotte
David Larson, Texas A\thsp\&\thsp M University, College Station
(87847203)

2:30 p.m.
Computer simplification of expressions in operator model theory.
J. William Helton*, University of California at San Diego, La Jolla
John J. Wavrik, University of California at San Diego, La Jolla
(8784781)

3:00 p.m.
Truncated moment problems and positivity.
Lawrence Fialkow*, State University of New York, College at New Paltz
(87847409)

3:30 p.m.
Multivariable operator theory on generators and relations.
Palle E. T. Jorgensen*, University of Iowa
(87847202)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Quadratic Forms, I

1:00 p.m.
Representations of positive definite Hermitian forms.
J. S. Hsia*, Ohio State University, Columbus
(87811501)

1:30 p.m.
Rigid fields and solvable Galois groups.
Roger Ware*, Pennsylvania State University, University Park
(87812330)

2:00 p.m.
Class groups of rank 2 lattices over number fields.
Dennis R. Estes*, University of Southern California
(87811247)

2:30 p.m.
Higher level forms schemes.
Murray Marshall, University of Saskatchewan
Victoria Powers*, Emory University
(87811305)

3:00 p.m.
Primitive representations by spinor genera of ternary quadratic forms.
A. G. Earnest, Southern Illinois University, Carbondale
J. S. Hsia, Ohio State University, Columbus
D. C. Hung*, State University of New York, Binghamton
(87811322)

3:30 p.m.
On the trace form.
Boas Erez*, Harvard University
(87811276)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Eigenvalues in Riemannian Geometry, II

1:00 p.m.
Spectral dimensions and Weyl's problem for the eigenvalue distribution of Laplacians on p.c.f. selfsimilar fractals.
Jun Kigami, Osaka University, Japan
Michel L. Lapidus*, University of California, Riverside
(87858149)

1:30 p.m.
Marked length spectral in negatively curved manifolds.
Yiping Mao*, Washington University
(87853604)

2:00 p.m.
Families of closed geodesics on hyperbolic surfaces with common selfintersections.
Thea Pignataro*, City College of New York, New York
Hanna Sandler, American University
(87830799)

2:30 p.m.
A new construction of higherstep isospectral nilmanifolds.
Ruth Gornet*, Washington University
(87858350)

3:00 p.m.
Locally nonisometric yet strongly isospectral manifolds.
Zoltan I. Szabo*, City University of New York, Herbert H. Lehman College
(87858623)

3:30 p.m.
Divisor of the Selberg zeta function for Kleinian groups.
Peter A. Perry*, University of Kentucky
S. J. Patterson, University of Gottingen, Germany
(87830825)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Dynamics of Systems with Infinitely Many Degrees of Freedom, I

1:00 p.m.
Application of wavelets to groupvalued sigma models.
Guy Battle*, Texas A & M University
(87834563)

1:30 p.m.
A relative entropy approach to 2point logarithmic Sobolev inequalities.
Mary Beth Ruskai*, University of Massachusetts, Lowell
(8788278)

2:00 p.m.
Spectral gap for Kawasaki dynamics and DobrushinShlosman mixing condition.
HorngTzer Yau*, Courant Institute of Mathematical Sciences, New York University
Shenglin Lu, University of Michigan, Ann Arbor
(87882153)

2:30 p.m.
The ground state energy of large atoms.
Luis Seco*, University of Toronto
(87834557)

3:00 p.m.
Patterns and multivalued solutions of the phase diffusion equation.
Nicholai Ercolani*, University of Arizona
(87834566)

3:30 p.m.
Nonlinear dispersive evolution equations of Hamiltonian type.
Michael Weinstein*, University of Michigan, Ann Arbor
(87834560)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Low Dimensional Geometric Dynamical Systems, III

1:00 p.m.
On the dynamics of some polynomial rootfinding algorithms.
Scott Sutherland*, State University of New York, Stony Brook
(87858454)

1:30 p.m.
Some global dynamical properties of numerical algorithms for ODE's.
Kevin Hockett*, George Washington University
(8785844)

2:00 p.m.
On the multiplier of a repelling periodic cycle.
Lisa Goldberg*, University of California, Berkeley
(87858946)

2:30 p.m.
Towers of finite type complex analytic maps.
Adam Epstein*, Graduate School & University Center, City University of New York
(87858944)

3:00 p.m.
Dynamical systems.
Elise Cawley*, University of California, Berkeley
(87858945)

3:30 p.m.
The dissipative/conservative dichotomy for group actions at infinity of hyperbolic space.
John A. Velling*, City University of New York, Brooklyn College
(87853468)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Modular Forms and Related Topics, I

1:00 p.m.
Refinements of Capparelli's conjecture.
Krishnaswami Alladi, University of Florida
George E. Andrews*, Pennsylvania State University, University Park
Basil Gordon, University of California, Los Angeles
(87811329)

1:30 p.m.
Ramanujan's theories of elliptic functions to alternative bases.
Bruce C. Berndt*, University of Illinois, UrbanaChampaign
S. Bhargava, University of Mysore, India
Frank G. Garvan, University of Florida
(87811644)

2:00 p.m.
Properties of Koosterman, Hermite and LaGuerre sums.
Julie C. Autuore*, Dartmouth College
(87811905)

2:30 p.m.
Expansions of zero.
Leon Ehrenpreis*, Temple University, Philadelphia
(87811374)

3:00 p.m.
Applying Ehrenpreis' "basis" method.
Jane Friedman*, University of San Diego
(87811145)

3:30 p.m.
Modular equations as a missing link between Hecke and Klein modular functions.
Harvey Cohn*, City College, City University of New York
(8781136)

Friday January 15, 1993, 1:00 p.m.3:50 p.m.
AMS Special Session on Quantum Groups, II

1:00 p.m.
Hopf algebras and 3manifold invariants.
Louis H. Kauffman*, University of Illinois, Chicago
(87857411)

1:30 p.m.
String bases for quantum groups of type A_r.
Andrei Zelevinsky*, Northeastern University
(87817575)

2:00 p.m.
Lie bialgebra structures on the Witt algebra.
Earl J. Taft*, Rutgers University, New Brunswick
(87817405)

2:30 p.m.
Primitive spectra of quantum groups.
Timothy J. Hodges*, University of Cincinnati
Thierry Levasseur, University of Poitiers, France
(87881206)

3:00 p.m.
Intergral intertwining operators and complex powers of differential (qdifference) operators.
Feodor Malikov*, Kyoto University, Japan
(87817937)

3:30 p.m.
New algebraic structures in the construction of manifold invariants.
Ruth J. Lawrence*, Harvard University
(87857941)

Friday January 15, 1993, 1:00 p.m.2:10 p.m.
AMS Session on Complex Variables (Geometric Considerations)

1:00 p.m.
Smooth points of padic subanalytic sets.
Zachary Robinson*, Purdue University, West Lafayette
(87832901)

1:15 p.m.
Local patching and a basis of pseudoconvex neighborhoods for convex sets.
Carl D. Mueller*, University of Wisconsin, Madison
(87832771)

1:30 p.m.
Iteration of functions and a nonfractal slide show.
Lawrence Crone*, American University
(87830382)

1:45 p.m.
Quasiconformal groups in 3space leaving a ball invariant that are not quasiconformally conjugate to mobius groups.
Manouchehr Ghamsari*, Christopher Newport University
(87830430)

2:00 p.m.
Jacobian lattice for Klein's surface.
J. R. Quine*, Florida State University
(87830817)

Friday January 15, 1993, 1:00 p.m.4:05 p.m.
MAA Session on Linear Algebra, III

1:00 p.m.
Experiences with the core curriculum and the use of MATLAB.
S. K. Jain*, Ohio University
Larry Snyder, Ohio University
(878001108)

1:20 p.m.
L¡near algebra: MATLAB and HP 48SX's mean new methods for teaching and testing.
Conduff G. Childress, Jr.*, Shaw University
Carol O'Dell, Elizabeth City State University
(878001098)

1:35 p.m.
A modeling approach to linear algebra using DERIVE and the TI81.
Barbara Flajnik*, Wittenberg University
(878001102)

1:50 p.m.
Teaching linear algebra using MAPLE.
Lisa Osterman Coulter*, Stetson University
(878001099)

2:05 p.m.
Using the computer to explore theoretical concepts in linear algebra.
Louise McNertney Berard*, Wilkes University
Anthony D. Berard, Jr., King's College
(878001096)

2:20 p.m.
Modeling the dual space in ISETL.
Donald L. Muench*, Saint John Fisher College
(878001117)

2:35 p.m.
Using TEMATH to explore linear algebra.
Adam O. Hausknecht*, University of Massachusetts, Dartmouth
(878001104)

2:50 p.m.
The singular value decomposition.
Dan Kalman*, The Aerospace Corporation, Los Angeles, California
(878001110)

3:10 p.m.
Using technology in teaching linear algebra.
Ralph C. Steinlage*, University of Dayton
(878001120)

3:25 p.m.
Algebra tutorial for excel spreadsheet: Matrices.
Roosevelt Gentry*, Jackson State University
(878001103)

3:40 p.m.
Final project in a linear algebra course.
M. Elizabeth Mayfield*, Hood College
(878001115)

3:55 p.m.
Iteration and active learning.
Richard Barshinger*, Pennsylvania State University, Dunmore
(878001095)

Friday January 15, 1993, 1:00 p.m.2:30 p.m.
JPBM Committee on Professional Rewards and Recognition Panel Discussion
Discussion of the committee's interim report.

Friday January 15, 1993, 1:00 p.m.3:00 p.m.
MAA Calculus Reform Study Group Informal Discussion
Calculus reform today

Friday January 15, 1993, 1:00 p.m.3:00 p.m.
MAA Committee on Student Chapters' Student Workshop A
Mathematics via handson experimentation

Friday January 15, 1993, 2:00 p.m.4:00 p.m.
MAA Minicourse \#14: Part A
Linear algebra, applications and computing
Organizers:
Gareth Williams, Stetson University

Friday January 15, 1993, 2:00 p.m.4:00 p.m.
MAA Minicourse \#15: Part A
The Harvard calculus reform project$:$ Handson experience with the project materials
Organizers:
Sheldon P. Gordon, Suffolk Community College
Deborah Hughes Hallett, Harvard University
William McCallum, University of Arizona
Thomas W. Tucker, Colgate University

Friday January 15, 1993, 2:00 p.m.3:15 p.m.
ASL Contributed Paper Session

Friday January 15, 1993, 2:15 p.m.3:05 p.m.
MAA MONTHLY Celebration, I

2:15 p.m.
The birth of the Monthly.
Robert A. Rosenbaum*, Wesleyan University

2:45 p.m.
Do mathematicians read the Monthly?Then and now.
Paul R. Halmos*, Santa Clara University

Friday January 15, 1993, 2:15 p.m.4:00 p.m.
NAM Contributed Paper Session

2:15 p.m.
Presentations by recent doctoral recipients

Friday January 15, 1993, 2:15 p.m.4:10 p.m.
Rocky Mountain Mathematics Consortium Board of Directors' Meeting

Friday January 15, 1993, 2:30 p.m.4:00 p.m.
AMS CSP Panel Discussion
Resources for excellence in academic mathematical sciences departments
Frank W. Warner, III, Univeristy of Pennsylvania
Hyman Bass, Columbia University
William H. Jaco, American Mathematical Society
William E. Kirwan, University of Maryland
Joan P. Leitzel, University of Nebraska

Friday January 15, 1993, 3:20 p.m.4:10 p.m.
MAA MONTHLY Celebration, II

3:20 p.m.
The Monthly problem section.
Murray S. Klamkin*, University of Alberta,

3:50 p.m.
The Putnam Prize Competition and the Monthly.
Andrew M. Gleason*, Harvard University

Friday January 15, 1993, 4:25 p.m.6:25 p.m.
AMSMAA Joint Prize Session

Friday January 15, 1993, 7:00 p.m.9:00 p.m.
NAM Birds of a feather Session

Friday January 15, 1993, 7:00 p.m.9:00 p.m.
JPBM Mathematics Department Chairs Committee Panel Discussion
Chairing the mathematics department in the $1990$s

Friday January 15, 1993, 7:30 p.m.8:20 p.m.
Third Annual MAA Student Chapters' Lecture

Friday January 15, 1993, 7:30 p.m.10:00 p.m.
MAA Actuarial Faculty Forum
Informal session on actuarial education

Friday January 15, 1993, 7:30 p.m.9:00 p.m.
MAA Committee on the Participation of Women Special Presentation
1992 Microinequities skits

Friday January 15, 1993, 7:30 p.m.9:00 p.m.
MAA Video Presentation
The Alhambra past and present\endash a geometer's odyssey
Speakers:
Lorraine L. Foster, California State University, Northridge
MAA Online
Inquiries: meet@ams.org