AMS Sectional Meeting Full Program
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1999 Spring Western Section Meeting
Las Vegas, NV, April 1011, 1999
Meeting #942
Associate secretaries: Bernard Russo, AMS brusso@math.uci.edu
Saturday April 10, 1999

Saturday April 10, 1999, 7:30 a.m.5:00 p.m.
Meeting Registration
108 Lobby Area, Classroom Building Complex A

Saturday April 10, 1999, 7:30 a.m.5:00 p.m.
Exhibit and Book Sale
108 Lobby Area, Classroom Building Complex A

Saturday April 10, 1999, 8:00 a.m.10:50 a.m.
Special Session on Graph Theory
Room 213, Classroom Building Complex C Organizers: HungLin Fu, National ChiaoTung UniversityTaiwan hlfu@math.nctu.edu.tw
Chris A. Rodger, Auburn University rodgec1@mail.auburn.edu
Michelle Schultz, University of Nevada, Las Vegas schultzm@nevada.edu

8:00 a.m.
Irreducible snarks.
Martin Skoviera*, Comenius University, Bratislava, Slovakia
(94205141)

8:30 a.m.
Equitable Coloring of Disconnected Graphs.
BorLiang Chen*, National Taichung Institute of Commerce
ChihHung Yen, Tunghai University
(94205152)

9:00 a.m.
A Coloring Problem.
HongJian Lai*, Department of Mathematics West Virginia University
(9420530)

9:30 a.m.
Chromatic Index of Graphs.
S. Louis Hakimi*, University of California, Davis
(9420594)

10:00 a.m.
Multi list colorings of the twoclique graph: an efficient algorithm.
Dean G. Hoffman*, Auburn University
(94205125)

10:30 a.m.
Diophantine approximations and regular coloring of distance graphs.
Xuding Zhu*, National Sun Yatsen University
(94205131)

Saturday April 10, 1999, 8:00 a.m.10:50 a.m.
Special Session on Geometric Group Theory
Room 212, Classroom Building Complex C Organizers: Eric M. Freden, Southern Utah University freden@suu.edu
Eric Lewis Swenson, Brigham Young University eric@math.byu.edu

8:00 a.m.
On Higman type embeddings of groups.
Mark V Sapir*, Vanderbilt University
(94220241)

8:30 a.m.
The Uniform Membership Problem for the Modular Group is Solvable in Polynomial Time .
Paul E. Schupp*, University of Illinois
Yuri Gurevich, Microsoft Corporation
(94220229)

9:00 a.m.
Orbits under the action of $Aut(F_n)$.
Vladimir Shpilrain*, The City College of New York
Alexei G. Myasnikov, The City College of New York
(9422022)

9:30 a.m.
Rational homology of automorphism groups of free groups .
Karen L Vogtmann*, Cornell University
(94220216)

10:00 a.m.
Intersection number operators and Chebyshev polynomials.
Stephen P. Humphries*, Brigham Young University
(94257191)

10:30 a.m.
Homotopy Theory in lowdimensional spaces .
Gregory R Conner*, Brigham Young University
James W Cannon, Brigham Young University
Jack W Lamoreaux, Brigham Young University
(9425554)

Saturday April 10, 1999, 8:00 a.m.10:50 a.m.
Special Session on Invariants, Distributions, Differential Operators and Harmonic Analysis
Room 217, Classroom Building Complex C Organizers: Ronald L. Lipsman, University of Maryland, College Park rll@math.umd.edu

8:00 a.m.
Rationality of Generalized Binomial Coefficients.
Chal Benson*, University of Missouri  St. Louis
Gail Ratcliff, University of Missouri  St. Louis
(94222110)

8:30 a.m.
Orbital convolutions and character formulae .
Anthony H Dooley*, University of New South Wales
(9422209)

9:00 a.m.
Gelfand Pairs for Nilpotent Lie Groups.
Joe W Jenkins*, National Science Foundation
(94222180)

9:30 a.m.
An Invariant Symmetric NonSelfadjoint Differential Operator.
Erik G.F. Thomas*, University of Groningen, The Netherlands
(9422233)

10:00 a.m.
The Gelfand Space for free twostep nilpotent groups.
Gail Ratcliff*, University of Missouri  St. Louis
Chal Benson, University of Missouri  St. Louis
(94222243)

10:30 a.m.
Projective limit representations of direct limit Lie groups.
R. Michael Howe*, University of WisconsinEau Claire
(9422245)

Saturday April 10, 1999, 9:00 a.m.10:50 a.m.
Special Session on Control and Dynamics of Partial Differential Equations
Room 221, Classroom Building Complex C Organizers: Zhonghai Ding, University of NevadaLas Vegas dingz@nevada.edu

9:00 a.m.
Uniform stability of full von Karman models describing nonlinear elasticity with thermoelastic effects.
Irena Lasiecka*, University of Virginia
(9429326)

9:30 a.m.
An example of a globally controllable semilinear heat equation with superlinear term.
Alexander Y Khapalov*, Washington State University
(9429332)

10:00 a.m.
Chaotic Vibration of the Wave Equation by Nonlinear Feedback Boundary Control .
Goong Chen*, Texas A&M University
(9429337)

10:30 a.m.
Measure Solutions for Semilinear and Quasilinear Evolution Equations and Their Optimal Control.
Nasir U Ahmed*, University of Ottawa
(9429349)

Saturday April 10, 1999, 9:00 a.m.10:50 a.m.
Special Session on Nonlinear PDEs  Methods and Applications
Room 222, Classroom Building Complex C Organizers: David Costa, University of NevadaLas Vegas costa@nevada.edu

9:00 a.m.
On Quasilinear PDEs Involving the Critical Sobolev and Hardy Exponents .
Nassif Ghoussoub*, University of British Columbia
C. Yuan, University of British Columbia
(9423586)

9:40 a.m.
Signchanging solutions to singular secondorder boundary value problems.
P.J. McKenna*, University of Connecticut
W. Reichel, Universit\"at Basel
(94235190)

10:20 a.m.
On quasilinear elliptic problems.
Klaus Schmitt*, Univ. of Utah
Vy K Le, Univ. MissouriRolla
(94235215)

Saturday April 10, 1999, 9:00 a.m.10:50 a.m.
Special Session on Set Theory
Room 210, Classroom Building Complex C Organizers: Douglas Burke, University NevadaLas Vegas dburke@nevada.edu
Derrick DuBose, University NevadaLas Vegas dubose@nevada.edu

9:00 a.m.
A property of Reznichenko and additivity of the meager ideal.
Marion Scheepers*, Boise State University
Ljubisha Kocinac, University of Nis
(94204130)

9:30 a.m.
Ramsey Games and Sequoias.
Carl Darby*, UNLV
(94204227)

10:00 a.m.
The Yellow Cake.
Andrzej Roslanowski*, Boise State University
Saharon Shelah, Hebrew University
(94203173)

10:30 a.m.
Cardinal invariants and ideals.
Tomek Bartoszynski*, Boise State University
(94204231)

Saturday April 10, 1999, 9:00 a.m.10:50 a.m.
Special Session on Number Theory
Room 215, Classroom Building Complex C Organizers: Gennady Bachman, University of Nevada, Las Vegas bachman@nevada.edu
Richard A. Mollin, University of Calgary ramollin@math.ucalgary.ca
Peter J. Shiue, University of Nevada, Las Vegas shiue@nevada.edu

9:00 a.m.
Winners and Losers in the ShanksRenyi Race Game.
Andrey Feuerverger, University of Toronto
Greg Martin*, University of Toronto
(94211223)

9:30 a.m.
Evaluation of central binomial series.
Jonathan M Borwein*, Simon Fraser University
David Broadhurst, Open University, UK
(9421180)

10:00 a.m.
Continuous analogues of the counting function of $y$smooth numbers.
Harold G. Diamond*, University of Illinois at UrbanaChampaign
Ferrell S. Wheeler, Center for Computational Sciences
(94211156)

10:30 a.m.
On a problem of Turan.
Michael A Filaseta*, University of South Carolina
(94212200)

Saturday April 10, 1999, 9:00 a.m.10:50 a.m.
Special Session on Combinatorial Theory
Room 214, Classroom Building Complex C Organizers: Kequan Ding, University of Illinois, Urbana kding@math.uiuc.edu
Peter Shiue, University of Nevada, Las Vegas shiue@nevada.edu
YeongNan Yeh, Academia Sinica mayeh@ccvax.sinica.edu.tw

9:00 a.m.
$f$vectors of Cutsets in the Truncated Boolean Lattice.
Shahriar Shahriari*, Pomona College
(94205228)

9:30 a.m.
A Uniform Approach to Problems on Intersecting Families of a Finite Set.
Hunter S. Snevily*, University of Idaho
(94205128)

10:00 a.m.
Asymptotic and Sharp Bounds for Graphical Ramsey Numbers.
Cecil C. Rousseau*, The University of Memphis
(94205182)

10:30 a.m.
Monochromatic arithmetic forests.
Tom C Brown*, Simon Fraser University
(9420555)

Saturday April 10, 1999, 9:00 a.m.11:05 a.m.
Special Session on Analysis and Geometry
Room 218, Classroom Building Complex C Organizers: Peter Li, University of California, Irvine pli@math.uci.edu
SongYing Li, University of California, Irvine sli@math.uci.edu

9:00 a.m.
Invariant metric estimates for the CauchyRiemann equations on some pseudoconvex domains.
Jeffery D McNeal*, Ohio State University
(94232219)

9:25 a.m.
Recent progress on the Kakeya conjecture.
Terence C Tao*, UCLA
Nets H Katz, University of Illinois at Chicago
Izabella Laba, Princeton University
(9424253)

9:55 a.m.
Concerning the solution of the Levi problem by dbar methods.
Emil J. Straube*, Texas A&M University
(94232169)

10:20 a.m.
Base change in moment problems.
FlorianHorian Vasilescu, UNiversite de Lille
Mihai Putinar*, University of California
(9424138)

10:45 a.m.
Uniquely factorizable of certain classes of functions.
Chungchun Yang*, Hong Kong Univ. of Science \& Technology
(94230139)

Saturday April 10, 1999, 9:00 a.m.10:50 a.m.
Special Session on Diophantine Problems
Room 216, Classroom Building Complex C Organizers: Arthur Baragar, University of Nevada, Las Vegas baragar@nevada.edu
Michael Bennett, University of Illinois mabennet@math.uiuc.edu

9:00 a.m.
Old and new results on Diophantine equations of the form $aX^4bY^2= \pm 1$.
Michael A. Bennett, University of Illinois, Urbana
Gary Walsh*, University of Ottawa
(9421105)

9:30 a.m.
Some recent results on the modularity of twodimensional $p$adic Galois representations.
Chris Skinner*, IAS
(94211210)

10:00 a.m.
the regularity theorem and conductordiscriminant inequalities.
Minhyong Kim*, University of Arizona
(94211203)

10:30 a.m.
Arithmetic of Fermat curves .
Pavlos Tzermias*, University of Arizona
(94211194)

Saturday April 10, 1999, 9:00 a.m.10:50 a.m.
Special Session on Symmetries of Knots and Threemanifolds
Room 219, Classroom Building Complex C Organizers: Swatee Naik, University of Nevada, Reno naik@unr.edu
Jozef H. Przytycki, George Washington University przytyck@math.gwu.edu

9:00 a.m.
Intrinsically Asymmetric 2colorings of Graphs in $S^{3}$.
Erica Flapan*, Pomona College
David L. Li, Pomona College
(94257150)

9:30 a.m.
Symmetries of 2strand string links up to concordance.
Theodore B Stanford*, United States Naval Academy
(94257184)

10:00 a.m.
Alexander polynomials of equivariant slice knots.
James F. Davis*, Indiana University
Swatee Naik, University of Nevada, Reno
(9425727)

10:30 a.m.
Quantum Invariants of periodic threemanifolds.
Patrick M Gilmer*, Louisiana State University
(94200104)

Saturday April 10, 1999, 9:30 a.m.10:50 a.m.
Special Session on Numerical Analysis and Computational Mathematics
Room 223, Classroom Building Complex C Organizers: Jun Zhang, University of Kentucky jzhang@cs.uky.edu
Jennifer Zhao, University of Michigan, Dearborn xich@umich.edu

9:30 a.m.
Finite Element Domain Decomposition Methods for A FluidSolid Interaction Problem in the Frequency Domain.
Xiaobing Feng*, The University of Tennessee
(94265183)

10:00 a.m.
Multiscale simulation of a granular medium using multigrid methods.
Richard B Clelland*, University of Colorado, Boulder
(9426577)

10:30 a.m.
A Finite Difference Scheme for Solving Heat Transport Equation in Microscale.
Weizhong Dai*, Louisiana Tech University
(94265253)

Saturday April 10, 1999, 11:10 a.m.12:00 p.m.
Invited Address
Large cardinals, determinacy, and inner models.
Auditorium A108, Classroom Building Complex A
John Steel*, University of California, Berkeley
(94204254)

Saturday April 10, 1999, 1:30 p.m.2:20 p.m.
Invited Address
Representation theory and fourdimensional conformal field theory.
Auditorium A108, Classroom Building Complex A
Igor Frenkel*, Yale University
(94217251)

Saturday April 10, 1999, 3:00 p.m.5:20 p.m.
Special Session on Control and Dynamics of Partial Differential Equations
Room 221, Classroom Building Complex C Organizers: Zhonghai Ding, University of NevadaLas Vegas dingz@nevada.edu

3:00 p.m.
Formation of a Nonlinear Elastic Plate.
David Russell*, Virginia Tech
(94293192)

3:30 p.m.
Global Uniqueness Theorems for Boundary Control.
Walter Littman*, University of Minnesota
(94293146)

4:00 p.m.
Continuous observability inequalities for hyperbolic and Schrodinger equations with variable coefficients .
Roberto Triggiani*, University of Virginia
(94293181)

4:30 p.m.
Convergence and Morse Index Results on a Minimax Method for Finding Critical Points.
Jianxin Zhou*, Texas A&M University
Yongxin Li, Texas A&M University
(9424171)

5:00 p.m.
Ergodic Control of Turbulence.
Sivaguru S Sritharan*, US Navy
P Sundar, Louisiana State University
(94293233)

Saturday April 10, 1999, 3:00 p.m.5:50 p.m.
Special Session on Graph Theory
Room 213, Classroom Building Complex C Organizers: HungLin Fu, National ChiaoTung UniversityTaiwan hlfu@math.nctu.edu.tw
Chris A. Rodger, Auburn University rodgec1@mail.auburn.edu
Michelle Schultz, University of Nevada, Las Vegas schultzm@nevada.edu

3:00 p.m.
Symbolic dynamics and the spectra of nonnegative integer matrices.
Nicholas S. Ormes*, University of Texas, Austin
Ki H. Kim, Alabama State University
Fred W. Roush, Alabama State University
(9420573)

3:30 p.m.
Graph Connectivity After Path Removal.
Guantao Chen, Georgia State University
Ronald J. Gould*, Emory University
Xingxing Yu, Georgia Tech
(9420559)

4:00 p.m.
Graphs of diameter two and collapsible graphs.
ZhiHong Chen*, Dept of Math, Butler University
(9420551)

4:30 p.m.
Surfaces and connectivities.
Michael Plummer, Vanderbilt University
Xiaoya Zha*, Middle Tennessee State University
(94205149)

5:00 p.m.
Recent developments in the theory of Cayley maps.
Robert Jajcay*, Indiana State University
(94205153)

5:30 p.m.
Chess and the Order of Polyominoes.
C. S. Felicitas, C.F.C.T.E., Inc.
Joseph Gould*, c/o C.F.C.T.E., Inc.
(9429036)

Saturday April 10, 1999, 3:00 p.m.5:30 p.m.
Special Session on Nonlinear PDEs  Methods and Applications
Room 222, Classroom Building Complex C Organizers: David Costa, University of NevadaLas Vegas costa@nevada.edu

3:00 p.m.
Computation and visualization of multiple solutions of semilinear elliptic boundary value problems.
Goong Chen*, Dept. of Math., Texas A&M Univ.
(9423583)

3:40 p.m.
Boundary value problems with concave nonlinearities near the origin.
ZhiQiang Wang*, Utah State University
(94235101)

4:20 p.m.
Liouville Properties and a conjecture of de Giorgi.
Changfeng GUI*, University of British Columbia, Vancouver, BC, Canada
(94235224)

5:00 p.m.
Existence and Multiplicity Results for Indefinite Semilinear Elliptic Equations in the Whole Space .
Hossein T Tehrani*, University of Nevada, Las Vegas
David G. Costa, University of Nevada, Las Vegas
(94235193)

Saturday April 10, 1999, 3:00 p.m.5:50 p.m.
Special Session on Set Theory
Room 210, Classroom Building Complex C Organizers: Douglas Burke, University NevadaLas Vegas dburke@nevada.edu
Derrick DuBose, University NevadaLas Vegas dubose@nevada.edu

3:00 p.m.
On the classification problem for rank 2 torsionfree abelian groups.
Alexander S Kechris*, Caltech
(94204171)

3:30 p.m.
Much ado about counterexamples to Vaught's Conjecture.
Howard Becker*, Univ. of South Carolina
(94204127)

4:00 p.m.
Borel completeness of Boolean algebras and some related equivalence relations.
Riccardo Camerlo*, Caltech
Su Gao, Caltech
(94204168)

4:30 p.m.
A counterexample to the strong Martin conjecture.
Su Gao*, Department of Mathematics, California Institute of Technology
(94203151)

5:00 p.m.
Borel functions, continuity, and recursion theorem.
Slawomir Solecki*, Indiana University
(94203157)

5:30 p.m.
Prewellorders and inner model theory.
Greg Hjorth*, University of California, Los Angeles
(94204162)

Saturday April 10, 1999, 3:00 p.m.5:50 p.m.
Special Session on Numerical Analysis and Computational Mathematics
Room 223, Classroom Building Complex C Organizers: Jun Zhang, University of Kentucky jzhang@cs.uky.edu
Jennifer Zhao, University of Michigan, Dearborn xich@umich.edu

3:00 p.m.
A Multilevel Preconditioning Technique with Implicit Coarse Level System Construction.
Jun Zhang*, University of Kentucky
(9426540)

3:30 p.m.
Interface Preserving Coarsening Multigrid for Discontinuous Coefficient Problems.
Wing Lok Wan*, Stanford University
(94265164)

4:00 p.m.
Numerical Solution of Stiff ODEs with Applications to Neural Networks.
Alan Q Li, University of Southern California
Edwaed Blum*, University of Southern California
(94234111)

4:30 p.m.
A New Formulation for the Valuation of American Options.
Junping Wang*, University of Wyoming
(94265178)

5:00 p.m.
Transposefree Matrix Pad\'e Via Lanczos Method.
Manchung Yeung*, University of California, Los Angeles
(9426543)

5:30 p.m.
A nonlinear parabolic equation modeling surfactant diffusion.
Xinfu Chen, University of Pittsburgh
Chaocheng Huang, Wright State University
Jennifer Zhao*, University of MichiganDearborn
(9426510)

Saturday April 10, 1999, 3:00 p.m.5:20 p.m.
Special Session on Number Theory
Room 215, Classroom Building Complex C Organizers: Gennady Bachman, University of Nevada, Las Vegas bachman@nevada.edu
Richard A. Mollin, University of Calgary ramollin@math.ucalgary.ca
Peter J. Shiue, University of Nevada, Las Vegas shiue@nevada.edu

3:00 p.m.
Number Fields with Prescribed Ramification.
John W Jones*, Arizona State University
David P Roberts, Rutgers University
(9421112)

3:30 p.m.
An algorithm for computing fundamental units of bicubic fields.
Charles J. Parry*, Virginia Polytechnic Institute and State University
(9421189)

4:00 p.m.
The Size of the Fundamental Solutions of Consecutive Pell Equations.
Hugh C. Williams*, University of Manitoba
Michael J. Jacobson, Jr., University of Waterloo
(94211126)

4:30 p.m.
A structure theorem for units and its application.
Mary E. Flahive*, Oregon State University
(94211235)

5:00 p.m.
Complete classification of quadratic polynomials producing primes for an initial range of input values.
Bart E. Goddard*, Texas A\&M University  Commerce
Richard A. Mollin, University of Calgary
(94211209)

Saturday April 10, 1999, 3:00 p.m.5:50 p.m.
Special Session on Combinatorial Theory
Room 214, Classroom Building Complex C Organizers: Kequan Ding, University of Illinois, Urbana kding@math.uiuc.edu
Peter Shiue, University of Nevada, Las Vegas shiue@nevada.edu
YeongNan Yeh, Academia Sinica mayeh@ccvax.sinica.edu.tw

3:00 p.m.
Cyclic Relative Difference Sets with Classical Parameters.
K T Arasu*, Wright State University
John F Dillon, National Security Agency
K H Leung, National University of Singapore
S L Ma, National University of Singapore
(94205188)

3:30 p.m.
A recursive method for Orthogonal Designs.
Hadi Kharaghani*, University of Lethbridge
(94205158)

4:00 p.m.
$q$Statistics and perfect matchings with forbidden edges.
James Haglund*, Penn State University
Jeffrey B Remmel, Univ. of Cal., San Diego
(94205154)

4:30 p.m.
Some remarks on extending $AG(4,2)$.
Joseph L. Yucas*, Southern Illinois University, Carbondale, IL 62901
(9420565)

5:00 p.m.
Iterative roots of constant polynomials over finite fields, preliminary report.
WunSeng Chou*, Institute of Mathematics Academia Sinica
(94205135)

5:30 p.m.
An estimation of the number of irreducible polynomials of given degree over a finite field.
Yaotsu Chang*, Dept. of Applied Math., IShou University
(94212175)

Saturday April 10, 1999, 3:00 p.m.5:30 p.m.
Special Session on Analysis and Geometry
Room 218, Classroom Building Complex C Organizers: Peter Li, University of California, Irvine pli@math.uci.edu
SongYing Li, University of California, Irvine sli@math.uci.edu

3:00 p.m.
Bundles rigidity on complex surfaces of general type.
Bun Wong*, UC Riverside
(94232163)

3:25 p.m.
WDVV Equations on Kaehler Manifolds.
HuaiDong Cao*, Texas A&M University
Jian Zhou, Texas A&M University
(94253202)

3:50 p.m.
Special Lagrangian fibration and stable bundles.
Jingyi Chen*, UBC
Gang Tian, MIT
(94253159)

4:20 p.m.
Constant mean curvature surfaces in Hyperbolic space with prescribed asymptotic behaviour at infinity.
Giovanni Gregori*, Universitaet Bonn
Rafe Mazzeo, Stanford University
(94249136)

4:45 p.m.
Homogenous B\"acklund transformations of hyperbolic MongeAmp\`ere systems.
Jeanne Nielsen Clelland*, University of Colorado
(9425815)

5:10 p.m.
A superrigidity type theorem for complex hyperbolic manifolds.
MuTao Wang*, Stanford University
(9425384)

Saturday April 10, 1999, 3:00 p.m.5:20 p.m.
Special Session on Diophantine Problems
Room 216, Classroom Building Complex C Organizers: Arthur Baragar, University of Nevada, Las Vegas baragar@nevada.edu
Michael Bennett, University of Illinois mabennet@math.uiuc.edu

3:00 p.m.
On the discriminant of classical polynomials.
Fernando RodriguezVillegas*, University of Texas at Austin
(94211214)

3:30 p.m.
Automorphisms of cubic moduli spaces.
William M. Goldman*, University of Maryland
(94214129)

4:00 p.m.
Torsion Points on $X_0(N)$.
Matthew H Baker*, UC Berkeley
(9421434)

4:30 p.m.
Constraints on value sets over finite fields.
Wayne Aitken*, California State University
(94211225)

5:00 p.m.
Algebraic families of nonzero elements of ShafarevichTate groups.
JeanLouis ColliotTh\'el\`ene, Universit\'e de ParisSud
Bjorn Poonen*, University of California at Berkeley
(9421146)

Saturday April 10, 1999, 3:00 p.m.5:50 p.m.
Special Session on Invariants, Distributions, Differential Operators and Harmonic Analysis
Room 217, Classroom Building Complex C Organizers: Ronald L. Lipsman, University of Maryland, College Park rll@math.umd.edu

3:00 p.m.
Orbit geometry and noncommutativity of invariant differential operators on nilpotent homogeneous spaces.
Frederick P. Greenleaf*, New York University/Courant Inst.
(9424381)

3:30 p.m.
The Hua system on nontube type Hermitian symmetric spaces.
Richard C Penney*, Purdue University
(94222197)

4:00 p.m.
Analysis of monomial representations.
Hidenori Fujiwara*, Kinki University in Kyushu
(94222107)

4:30 p.m.
Noncommutativity of Certain Subquotients in the Enveloping Algebra of a Nilpotent Lie Algebra.
Bradley N Currey*, Saint Louis University
(94222142)

5:00 p.m.
Holomorphically induced representations of some solvable Lie groups.
Junko Inoue*, Tottori University
(94222166)

5:30 p.m.
Generalized Moment Sets and Unitary Representations of Exponential Solvable Lie Groups.
Ali Baklouti*, Sfax, Tunisia
(94222252)

Saturday April 10, 1999, 3:00 p.m.5:50 p.m.
Special Session on Symmetries of Knots and Threemanifolds
Room 219, Classroom Building Complex C Organizers: Swatee Naik, University of Nevada, Reno naik@unr.edu
Jozef H. Przytycki, George Washington University przytyck@math.gwu.edu

3:00 p.m.
Periodicity of homology spheres.
Joanna KaniaBartoszynska*, Boise State University
Jozef H. Przytycki, George Washington University
(94257198)

3:30 p.m.
Periodic knots and the twisted Alexander polynomials.
Swatee Naik*, University of NevadaReno, and Tata Institute of Fundamental Research, Mumbai.
(94257205)

4:00 p.m.
MurakamiOhtsukiOkada invariants and periodicity of 3manifolds.
Maxim V. Sokolov, Mr.*, George Washington University
(94257199)

4:30 p.m.
Homotopy skein module, dichromatic polynomial and symmetry .
Jozef H. Przytycki*, GWU
(94257237)

5:00 p.m.
The CassonWalkerLescop invariant and link invariants.
Jeff Johannes*, University of Nevada Las Vegas
(9425713)

5:30 p.m.
Concordance of Classical Knots.
Andrius Tamulis*, Monmouth College
(9425720)

Saturday April 10, 1999, 3:30 p.m.5:25 p.m.
Session on Contributed Papers
Room 225, Classroom Building Complex C

3:00 p.m.
Results on the Blowup of a Heat Source Traveling with Varying Speed and Direction in a Diffusive Medium .
Colleen M Kirk*, graduate student
W E Olmstead, Professor
(94245170)

3:15 p.m.
Stability of Impulsive Delay Differential Equations.
Xinzhi Liu*, University of Waterloo
(9423478)

3:30 p.m.
Theorems on ndimensional Laplace Transforms and their applications.
R. S. Dahiya*, Iowa State University
(94244244)

3:45 p.m.
Approximation methods for integrodifferential equations.
James H Liu*, James Madison University, Harrisonburg, VA 22807
(9423444)

4:00 p.m.
A Noncommutative Generalization of Gelfand Duality for $C\sup{*}$algebras.
Mukul S Patel*, San Leandro, California
(94246120)

4:30 p.m.
Interpolation wavelets and their application in solving nonlinear anisotropic diffusion equations.
Jianzhong Wang*, Sam Houston State University
(9423516)

4:45 p.m.
WKB Analysis of the General Fourth Painleve Equation.
Alisher S. Abdullayev*, Faculty
(9423428)

5:00 p.m.
Fuzzy contractions and fixed points.
Mark Burgin*, University of California
(9422629)

5:15 p.m.
Data, Data Spaces, Restrictions, and Generalities.
C. S. Felicitas*, C.F.C.T.E., Inc.
(94292122)

Saturday April 10, 1999, 7:00 p.m.11:00 p.m.
Council
Patio Cafe, La Quinta Inn
Sunday April 11, 1999

Sunday April 11, 1999, 8:00 a.m.12:00 p.m.
Meeting Registration
108 Lobby Area, Classroom Building Complex A

Sunday April 11, 1999, 8:00 a.m.10:50 a.m.
Special Session on Graph Theory
Room 213, Classroom Building Complex C Organizers: HungLin Fu, National ChiaoTung UniversityTaiwan hlfu@math.nctu.edu.tw
Chris A. Rodger, Auburn University rodgec1@mail.auburn.edu
Michelle Schultz, University of Nevada, Las Vegas schultzm@nevada.edu

8:00 a.m.
The structure of neighbor disconnected vertex transitive graphs.
Richard J. Goldstone*, Manhattan College
(9420517)

8:30 a.m.
Asymptotic Growth in Nonsymmetric Graphs.
Tomaz Pisanski, University of Ljubljana
Thomas W. Tucker*, Colgate University
(9420587)

9:00 a.m.
Nearautomorphisms of complete multipartite graphs
K. B. Reid*, California State University San Marcos
(94205105)

9:30 a.m.
Configurations and their Levi graphs.
Toma\{z} Pisanski*, University of Ljubljana
(94205138)

10:00 a.m.
Cycle Decompositions of $K_n$ and $K_nI$.
Heather D Gavlas*, Grand Valley State University
Brian Alspach, Simon Fraser University
(94205108)

10:30 a.m.
Decomposing complete graphs into cycles of fixed length.
Brian R Alspach*, Simon Fraser University
Mateja Sajna, Simon Fraser University
(9420574)

Sunday April 11, 1999, 8:00 a.m.10:50 a.m.
Special Session on Invariants, Distributions, Differential Operators and Harmonic Analysis
Room 217, Classroom Building Complex C Organizers: Ronald L. Lipsman, University of Maryland, College Park rll@math.umd.edu

8:00 a.m.
Root systems and special functions.
Siddhartha Sahi*, Professor
(9422231)

8:30 a.m.
The PaleyWiener theorem for a reductive symmetric space.
Erik P van den Ban*, Universiteit Utrecht, The Netherlands
Henrik Schlichtkrull, K\o benhavns Universitet, Denmark
(94222212)

9:00 a.m.
Schwartz space for the hypergeometric Fourier transform.
Patrick A Delorme*, Institut de Math\'ematiques de Luminy, 163 Avenue de Luminy, Case 907, 13288 Marseille cedex 09, France
(9422262)

9:30 a.m.
Faithful representations and extension of Weyl's construction.
JingSong Huang*, HKUST
(94222132)

10:00 a.m.
Generalized Huygens' Principle.
Chenbo Zhu*, National University of Singapore
(9422214)

10:30 a.m.
Explicit realizations of singular representations.
Alexander Dvorsky*, Rutgers University
Siddhartha Sahi, Rutgers University
(9422291)

Sunday April 11, 1999, 8:00 a.m.12:00 p.m.
Exhibit and Book Sale
108 Lobby Area, Classroom Building Complex A

Sunday April 11, 1999, 8:30 a.m.10:50 a.m.
Special Session on Geometric Group Theory
Room 212, Classroom Building Complex C Organizers: Eric M. Freden, Southern Utah University freden@suu.edu
Eric Lewis Swenson, Brigham Young University eric@math.byu.edu

8:30 a.m.
Suppose a group G splits as a product and that Groups acting on products of CAT(0) spaces.
Kim E Ruane*, Vanderbilt University
(94220236)

9:00 a.m.
Visual Decompositions of Coxeter Groups.
Michael L Mihalik*, Vanderbilt University
Steven T Tschantz, Vanderbilt University
(94220195)

9:30 a.m.
Test elements in hyperbolic groups.
Edward C. Turner*, University at Albany, Albany, NY
(9422057)

10:00 a.m.
On the Davis hyperbolic 4manifold.
John G Ratcliffe*, Vanderbilt University
Steven T Tschantz, Vanderbilt University
(9425779)

10:30 a.m.
Locally free Kleinian groups.
James W. Anderson*, University of Southampton and Rice University
(9425748)

Sunday April 11, 1999, 9:00 a.m.10:50 a.m.
Special Session on Control and Dynamics of Partial Differential Equations
Room 221, Classroom Building Complex C Organizers: Zhonghai Ding, University of NevadaLas Vegas dingz@nevada.edu

9:00 a.m.
Reduced Basis Methods for Computation of Open Loop and Feedback Controls in Partial Differential Equation Problems .
H. T. Banks, Dr.*, North Carolina State University
(94235196)

9:30 a.m.
Optimal Control Approaches to Engineering Design: Numerical and Mathematical Issues .
John A Burns*, Virginia Tech
(94293239)

10:00 a.m.
Controllability of Elastic Systems with Fluid Coupling.
Scott Hansen*, Iowa State University
(94293211)

10:30 a.m.
Transient Heat Transfer Behavior of OneDimensional Symmetric Thermoelectric SMA Actuators.
Zhonghai Ding*, University of NevadaLas Vegas
(94293179)

Sunday April 11, 1999, 9:00 a.m.10:50 a.m.
Special Session on Nonlinear PDEs  Methods and Applications
Room 222, Classroom Building Complex C Organizers: David Costa, University of NevadaLas Vegas costa@nevada.edu

9:00 a.m.
Morse index, Newton's method, and Bifurcation of nonlinear elliptic PDE.
John M Neuberger*, NAU
(9423588)

9:40 a.m.
Exact multiplicity of solutions of semilinear problem with jumping nonlinearities.
Junping Shi*, Tulane University
(9423585)

10:20 a.m.
ParameterEllipticity and Parabolicity for Mixedorder Systems and Applications.
Alexander Kozhevnikov*, Department of Mathematics, University of Haifa, 31905 ISRAEL
(9423593)

Sunday April 11, 1999, 9:00 a.m.11:00 a.m.
Special Session on Set Theory
Room 210, Classroom Building Complex C Organizers: Douglas Burke, University NevadaLas Vegas dburke@nevada.edu
Derrick DuBose, University NevadaLas Vegas dubose@nevada.edu

9:00 a.m.
A Survey of lowlevel L(R) combinatorics.
Steve C. Jackson*, University of North Texas
(94204185)

9:25 a.m.
{Covering Lemmas for $L({\Bbb R})$ and $K({\Bbb R})$}.
Daniel W Cunningham*, Buffalo State College
(94204103)

9:50 a.m.
Some Connections Between Descriptive Set Theory and Inner Model Theory.
Mitch Rudominer*, Florida International University
(94204176)

10:15 a.m.
The Consistency Strength of Blackwell Determinacy.
Benedikt L\"owe*, HumboldtUniversit\"at zu Berlin
(94203177)

10:40 a.m.
Jonsson Cardinals and their successors.
Philip D. Welch*, Kobe University, University of Bristol.
(94203248)

Sunday April 11, 1999, 9:00 a.m.10:50 a.m.
Special Session on Number Theory
Room 215, Classroom Building Complex C Organizers: Gennady Bachman, University of Nevada, Las Vegas bachman@nevada.edu
Richard A. Mollin, University of Calgary ramollin@math.ucalgary.ca
Peter J. Shiue, University of Nevada, Las Vegas shiue@nevada.edu

9:00 a.m.
Haar wavelets and irregularieites of distribution.
Andrew D Pollington*, BYU
(94211218)

9:30 a.m.
Binary Egyptian Fractions.
E. Croot, University of Georgia
D. Dobbs, University of Tennessee
J. B. Friedlander*, University of Toronto
A. Hetzel, University of Tennessee
F. Pappalardi, Universita Roma Tre
(9421158)

10:00 a.m.
Explicit Merit Factor Formulae For Fekete and Turyn Polynomials.
Peter Borwein*, Simon Fraser University
KwokKwong Stephen Choi, University of Hong Kong
(9421161)

10:30 a.m.
Rational triangles with rational Morley triangles.
Andrew Bremner*, Arizona State University
Joseph R. Goggins, British Rail
Michael J.T. Guy, Cambridge University
Richard K. Guy, University of Calgary
(9421152)

Sunday April 11, 1999, 9:00 a.m.10:50 a.m.
Special Session on Combinatorial Theory
Room 214, Classroom Building Complex C Organizers: Kequan Ding, University of Illinois, Urbana kding@math.uiuc.edu
Peter Shiue, University of Nevada, Las Vegas shiue@nevada.edu
YeongNan Yeh, Academia Sinica mayeh@ccvax.sinica.edu.tw

9:00 a.m.
Rental Harmony: Sperner's Lemma in Fair Division.
Francis Edward Su*, Harvey Mudd College
(9420525)

9:30 a.m.
On the Number of Successive Lefttoright Maxima in Random Permutations.
YeongNan Yeh*, Institute of Mathematics, Academia Sinica, Taiwan, R.O.C.
(94205123)

10:00 a.m.
Leftmodular Elements.
Larry S.C. Liu*, Department of Mathematics, Michigan State University
(94206124)

10:30 a.m.
Congruences for generalized Stirling numbers .
Sophie Frisch*, Technische Universit\"at Graz
Brian Ward, University of Chicago
(9420523)

Sunday April 11, 1999, 9:00 a.m.10:40 a.m.
Special Session on Analysis and Geometry
Room 218, Classroom Building Complex C Organizers: Peter Li, University of California, Irvine pli@math.uci.edu
SongYing Li, University of California, Irvine sli@math.uci.edu

9:00 a.m.
Mappings between balls.
Xiaojun Huang*, Rutgers University
(94232145)

9:25 a.m.
On singular diffusion equations.
Panagiota Daskalopoulos*, University of California, Irvine
(94235242)

9:55 a.m.
Bohr's power series theorem in the unit ball of \(\ell_p(\mathbf{C}^n)\).
Harold P Boas*, Texas A\&M University
(94232109)

10:20 a.m.
The dimension of an automorphism group.
James A. Gifford, The Australian National University
Alexander V. Isaev, The Australian National University
Steven G. Krantz*, Washington University in St. Louis
(94232246)

Sunday April 11, 1999, 9:00 a.m.10:50 a.m.
Special Session on Diophantine Problems
Room 216, Classroom Building Complex C Organizers: Arthur Baragar, University of Nevada, Las Vegas baragar@nevada.edu
Michael Bennett, University of Illinois mabennet@math.uiuc.edu

9:00 a.m.
Jacobians of Curves of Genus 1.
William G McCallum*, University of Arizona
(94211201)

9:30 a.m.
A 2dimensional continued fraction algorithm associated with interval exchanges and a theorem of Lagrange.
Sebastien Ferenczi, Universite de Tours
Charles Holton, University of California
Luca Q Zamboni*, University of North Texas
(9421176)

10:00 a.m.
Geometrically simple reduction types of CM abelian varieties.
Hui Zhu*, MSRI
(94211217)

10:30 a.m.
Geometric Nonvanishing.
Douglas Ulmer*, University of Arizona
(94211245)

Sunday April 11, 1999, 9:00 a.m.10:50 a.m.
Special Session on Symmetries of Knots and Threemanifolds
Room 219, Classroom Building Complex C Organizers: Swatee Naik, University of Nevada, Reno naik@unr.edu
Jozef H. Przytycki, George Washington University przytyck@math.gwu.edu

9:00 a.m.
Dehn surgeries on knots which yield lens spaces and genera of knots .
Hiroshi Goda*, University of California at Davis
Masakazu Teragaito, Hiroshima University
(94257106)

9:30 a.m.
Homology of cyclic covers of slice knots.
Karl A Bloch*, Indiana University
Davis F James, Indiana University
(9425721)

10:00 a.m.
Periodic Links and Representation Shifts.
Daniel S Silver*, Univ. of South Alabama
Susan G Williams, Univ. of South Alabama
(94257189)

10:30 a.m.
Classification of links up to surgery equivalence of second class.
Fan Ding, Peking University
XiaoSong Lin*, UC Riverside
(94257102)

Sunday April 11, 1999, 9:30 a.m.10:50 a.m.
Special Session on Numerical Analysis and Computational Mathematics
Room 223, Classroom Building Complex C Organizers: Jun Zhang, University of Kentucky jzhang@cs.uky.edu
Jennifer Zhao, University of Michigan, Dearborn xich@umich.edu

9:30 a.m.
Piecewise Linear Markov Approximations of Markov Operators on $L^1([0,1]^N)$.
Jiu Ding*, University of Southern Mississippi
Aihui Zhou, Academia Sinica
(9426511)

10:00 a.m.
Collocation Methods and Optimal Stopping Problems; an Application to the Pricing of Vanilla Options on One Risky Asset.
Michael D. Marcozzi*, University of Nevada, Las Vegas
(94265167)

10:30 a.m.
Mixed Elements for Linear Stokes Equations and Multigrid Solvers .
Shangyou Zhang*, University of Delaware
(94265222)

Sunday April 11, 1999, 11:10 a.m.12:00 p.m.
Invited Address
Tilings, quasicrystals and continuous symmetry.
Auditorium A108, Classroom Building Complex A
Lorenzo A Sadun*, University of Texas at Austin
(9425275)

Sunday April 11, 1999, 1:30 p.m.2:10 p.m.
Invited Address
From Topological Quantum Field Theory to FaultTolerant Quantum Computation .
Auditorium A108, Classroom Building Complex A
Greg Kuperberg*, UC Davis
(94268234)

Sunday April 11, 1999, 3:00 p.m.4:50 p.m.
Special Session on Graph Theory
Room 213, Classroom Building Complex C Organizers: HungLin Fu, National ChiaoTung UniversityTaiwan hlfu@math.nctu.edu.tw
Chris A. Rodger, Auburn University rodgec1@mail.auburn.edu
Michelle Schultz, University of Nevada, Las Vegas schultzm@nevada.edu

3:00 p.m.
Chords of longest circuits.
X. C. Li, Math. Dept., West Virginia University
C.  Q. Zhang*, Math. Dept. West Virginia Univ.
(94205121)

3:30 p.m.
TwoFactors with exactly two cycles in Hamiltonian Graphs.
Michael S Jacobson*, University of Louisville
Ralph J Faudree, University of Memphis
Ronald J Gould, Emory University
Linda Lesniak, Drew University
Akira Saito, Nihon University
(9420542)

4:00 p.m.
Maximal Sets of Hamilton Cycles.
Chris A Rodger*, Auburn University
Saad ElZanati, Illinois State University
Darryn E Bryant, University of Queensland
(9420566)

4:30 p.m.
Edge critical bipartite graphs without 4cycles.
Darryn E. Bryant, The University of Queensland
HungLin Fu*, National Chiao Tung University
(9420582)

Sunday April 11, 1999, 3:00 p.m.5:30 p.m.
Special Session on Nonlinear PDEs  Methods and Applications
Room 222, Classroom Building Complex C Organizers: David Costa, University of NevadaLas Vegas costa@nevada.edu

3:00 p.m.
A priori growth estimates for Fuchsian solutions satisfying systems of algebraic PDE.
Sh. Strelitz*, University of Haifa
(94235240)

3:40 p.m.
A Periodic boundary value problem for a generalized 2D GinzburgLandau equation.
Charles Bu*, Wellesley College
(94235140)

4:20 p.m.
Constant Principal Strain Deformations.
Martin Chuaqui, P. Universidad Catolica de Chile
Julian Gevirtz*, Indiana Acad., Ball State Univ, P. Univ. Catolica de Chile
(9423556)

5:00 p.m.
Response of a FiniteDepth Saturated Soil to a SinglePulse Disturbance.
Brian T Hayes*, Stevens Institute of Technology
(94235143)

Sunday April 11, 1999, 3:00 p.m.5:20 p.m.
Special Session on Set Theory
Room 210, Classroom Building Complex C Organizers: Douglas Burke, University NevadaLas Vegas dburke@nevada.edu
Derrick DuBose, University NevadaLas Vegas dubose@nevada.edu

3:00 p.m.
Tightness and Internal Approachability.
Matthew D Foreman*, UC Irvine
(94204238)

3:30 p.m.
Robust and stunted trees of height and cardinality~$\omega_1$.
Mack Stanley*, San Jose State Univ.
(94204172)

4:00 p.m.
Simple complete Boolean algebras.
Thomas Jech*, Penn State University
(94204133)

4:30 p.m.
Gap forcing: generalizing the LevySolovay theorem.
Joel D Hamkins*, City University of New York
(9420463)

5:00 p.m.
Set Theory as a Branch of Mathematics.
Noa Goldring*, Los Angeles, California
(94204226)

Sunday April 11, 1999, 3:00 p.m.5:50 p.m.
Special Session on Geometric Group Theory
Room 212, Classroom Building Complex C Organizers: Eric M. Freden, Southern Utah University freden@suu.edu
Eric Lewis Swenson, Brigham Young University eric@math.byu.edu

3:00 p.m.
The splitting obstruction for finitely generated groups.
Graham A. Niblo*, University of Southampton
(9422047)

3:30 p.m.
Grushko's theorem for surfacelike complexes.
John R Stallings*, University of California, Berkeley
(9422090)

4:00 p.m.
The Burau representation is not faithful for n=5.
Stephen J Bigelow*, University of California at Berkeley
(94220165)

4:30 p.m.
Metrics for generalizations of Thompson's group $F$.
Jos\'{e} Burillo, Tufts University
Sean Cleary*, California State University, Fresno
Melanie Stein, Trinity College
(9422018)

5:00 p.m.
Separating quasiconvex subgroups of graph groups.
Tim Hsu*, Pomona College
Daniel T. Wise, Cornell University
(94220134)

5:30 p.m.
Tameness and the geodesic cores of subgroups.
Rita Gitik*, A&H consultants
(94220144)

Sunday April 11, 1999, 3:00 p.m.4:35 p.m.
Special Session on Analysis and Geometry
Room 218, Classroom Building Complex C Organizers: Peter Li, University of California, Irvine pli@math.uci.edu
SongYing Li, University of California, Irvine sli@math.uci.edu

3:00 p.m.
Geometry of quasicircles and quasiconformal mappings.
Shanshuang Yang*, Emory University
(9423019)

3:25 p.m.
$Q_p$ spaces on Riemann surfaces.
Rauno Aulaskari*, University of Joensuu
(9423092)

3:50 p.m.
An optimal comparison result on heat kernels of conformal Laplacian and applications.
Qi S. Zhang*, University of Memphis
(9423570)

4:15 p.m.
Hodge theory and cohomology with compact supports.
Ed Bueler*, University of Alaska, Fairbanks
Igor Prokhorenkov, Texas Christian University
(9425864)

Sunday April 11, 1999, 3:00 p.m.4:50 p.m.
Special Session on Diophantine Problems
Room 216, Classroom Building Complex C Organizers: Arthur Baragar, University of Nevada, Las Vegas baragar@nevada.edu
Michael Bennett, University of Illinois mabennet@math.uiuc.edu

3:00 p.m.
Bounds on exponential sums and applications to cryptography.
Daniel B. Lieman*, University of Missouri
(94211213)

3:30 p.m.
Arithemetic Analogs of Differential Modular Forms.
Christine Hurlburt*, University of New Mexico
(94214186)

4:00 p.m.
Plane quartics with Jacobians isomorphic to a hyperelliptic Jacobian.
Everett W Howe*, Center for Communications Research
(94214155)

4:30 p.m.
A slightly weaker conjecture implies the $abc$ conjecture.
Paul Vojta*, University of California, Berkeley
(94211230)

Sunday April 11, 1999, 3:00 p.m.5:50 p.m.
Special Session on Invariants, Distributions, Differential Operators and Harmonic Analysis
Room 217, Classroom Building Complex C Organizers: Ronald L. Lipsman, University of Maryland, College Park rll@math.umd.edu

3:00 p.m.
Hermite functions and indefinite orthogonal groups.
Gerald B. Folland*, University of Washington
(9423339)

3:30 p.m.
Fine structure for Bessel functions on complex matrix space.
Kenneth I. Gross*, University of Vermont
Donald St.P. Richards, University of Virginia
(94243187)

4:00 p.m.
On the construction of analytic models for certain representations of the general linear group.
Ray A Kunze*, The University of Georgia
(94242174)

4:30 p.m.
Heat Kernels of Hermitian Symmetric Spaces.
Hongming Ding*, St. Louis University
(9423550)

5:00 p.m.
Generalized Watson Transforms.
Qifu Zheng*, The College of New Jersey
(94222148)

5:30 p.m.
An integral transform and unitary highest weight modules.
John D Lorch*, Ball State University
(9422241)

Sunday April 11, 1999, 3:00 p.m.4:20 p.m.
Special Session on Symmetries of Knots and Threemanifolds
Room 219, Classroom Building Complex C Organizers: Swatee Naik, University of Nevada, Reno naik@unr.edu
Jozef H. Przytycki, George Washington University przytyck@math.gwu.edu

3:00 p.m.
Translating the involutory Kuperberg invariant into the surgery framework, and relating it to certain symmetries of 3manifolds.
Fernando J. O. Souza*, University of Illinois at Chicago
Louis H. Kauffman, University of Illinois at Chicago
David E. Radford, University of Illinois at Chicago
(94257232)

3:30 p.m.
Ordering groups of Pure Braids and Hyperplane Arrangements.
Djun M. Kim*, The University of British Columbia
Dale P. Rolfsen, The University of British Columbia
(94206204)

4:00 p.m.
Seifert fibered surgeries on hyperbolic knots.
Cameron McA. Gordon*, University of Texas at Austin
John Luecke, University of Texas at Austin
(94257249)
Inquiries: meet@ams.org

