Doctoral Degrees Conferred 1999–2000 ALABAMA Auburn University (7) Discrete and Statistical Sciences K¨ uc ¸¨ ukc ¸ifc ¸i, Selda, The number of 8-cycles in 2-factorizations of K n . McGee, James R. III, Embedding and covering of 2-paths. Roblee, Kenneth, Problems in external coding theory. Mathematics Casabianca, Frank Jr., Orthogonal bases of symmetrized tensor spaces and units in Hecke algebras. Gonzalez, Thomas, On K-to-1 maps. Kosmatov, Nickolai, Multiple positive so- lutions of a nonlinear boundary value problem. Naughton, Dominic, Simple modules for the Hamiltonian algebra. University of Alabama, Birmingham (3) Mathematics Le, Tuan, An inverse problem in ground water modeling. Maner, Andrew, Boundaries of conformal rotation domains. van den Bedem, Henry, Chaotic models in nonequilibrium statistical mechanics. University of Alabama, Huntsville (1) Mathematical Sciences Trees, Eric, LP-Matrix partition theorem and its application to fractional domi- nation and domatic parameters. University of Alabama, Tuscaloosa (4) Management Science and Statistics Linna, Kenneth Jr., Control chart perfor- mance under linear covariate measure- ment processes. Wang, Xiaohong “Daniel”, Performance of lack of fit tests in linear regression models. The above list contains the names and thesis titles of recipients of doctoral degrees in the mathematical sciences (July 1, 1999, to June 30, 2000) reported in the 2000 Annual Survey of the Mathematical Sciences by 237 departments in 158 universities in the United States. Each entry contains the name of the recipient and the thesis title. The number in parentheses following the name of the university is the number of degrees listed for that university. A supplementary list, containing names received since compilation of this list, will appear in a summer 2001 issue of the Notices. Mathematics Nettles, Elizabeth, T-Systems of the Math- ieu group M. Ratkovich, Thomas, The algebra and topology of extensions of finitely gen- erated profinite groups. ARIZONA Arizona State University (3) Mathematics Buskirk, Trent, Using nonparametric meth- ods for density estimation with complex survey data. Drinen, Douglas, Flow equivalence and graph groupoid isomorphism. Zhang, Xuerong, Degree-light-free graphs and Hamiltonian cycles. University of Arizona (17) Applied Mathematics Amir, Orna, Gaussian analysis of unsat- urated flow in randomly heterogeneous porous media. Bauer, Karl, Projection based image restoration, super resolution and er- ror correction codes. Liu, Li, Hierarchical structures in fully developed turbulence. Mercado Sanchez, Gema, Modeling hot- spot dynamics in microwave heating. Murray, Regan, Traveling waves and os- cillating fronts in a model for biodegra- dation. Ropp, David, A numerical study of shal- low water models with variable topog- raphy. Woo, Jung Min, Two mathematical prob- lems in discorded system. Mathematics Alzoubi, Maref, A dispersal model for structured populations. Avila de Brau, Guadalupe, Controlled Markov chains with exponential risk- sensitive criteria; Modularity, struc- tured policies and applications. Brau Rojas, Agustin, Controlled Markov chains with risk-sensitive average cost criterion. Cunningham, Geoffrey, Sums of squares in function fields of elliptic curves. Dai, JiaLing, Conjugacy classes, charac- ters, coadjoint orbits of Diff + S1. Ekstrom, Aaron, On the infinitude of elliptic Carmichael numbers. Jackson, Jack, Splitting in finite meta- cyclic groups. Marshall, David, Galois groups and Green- berg’s conjecture. Sakamoto, Scott, The Cranmer abacus: Its use in teaching mathematics to students with visual impairments. Wang, Chunnan, Analysis of a bivariate distribution in reliability theory. ARKANSAS University of Arkansas (2) Mathematical Sciences Lakew, Dejenie, Elliptic boundary value problems, Cl 0n complete function sys- tems and the Clifford II operator. Liu, Hong, The Clifford analysis tech- niques for spherical PDE. CALIFORNIA California Institute of Technology (8) Applied Mathematics Park, Peter, Multiscale numerical meth- ods for the singularity perturbed con- vection-diffusion equation. Si, Helen (Hui), Numerical study of inter- facial flow with surface tension in two and three dimensions. Control and Dynamical Systems Parrilo, Pablo, Structured semidefinite programs and semialgebraic geometry methods in robustness and optimiza- tion. Pekarsky, Sergey, Discrete reduction of mechanical systems and multisymplec- tic geometry of continuum mechanics. FEBRUARY 2001 NOTICES OF THE AMS 219
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Doctoral Degrees Conferred1999–2000
ALABAMAAuburn University (7)
Discrete and Statistical Sciences
Kucukcifci, Selda, The number of 8-cyclesin 2-factorizations of Kn.
McGee, James R. III, Embedding andcovering of 2-paths.
Roblee, Kenneth, Problems in externalcoding theory.
Mathematics
Casabianca, Frank Jr., Orthogonal basesof symmetrized tensor spaces and unitsin Hecke algebras.
Gonzalez, Thomas, On K-to-1 maps.Kosmatov, Nickolai, Multiple positive so-
Le, Tuan, An inverse problem in groundwater modeling.
Maner, Andrew, Boundaries of conformalrotation domains.
van den Bedem, Henry, Chaotic models innonequilibrium statistical mechanics.
University of Alabama,Huntsville (1)
Mathematical Sciences
Trees, Eric, LP-Matrix partition theoremand its application to fractional domi-nation and domatic parameters.
University of Alabama,Tuscaloosa (4)
Management Science and Statistics
Linna, Kenneth Jr., Control chart perfor-mance under linear covariate measure-ment processes.
Wang, Xiaohong “Daniel”, Performanceof lack of fit tests in linear regressionmodels.
The above list contains the names and thesis titles of recipients of doctoraldegrees in the mathematical sciences (July 1, 1999, to June 30, 2000)reported in the 2000 Annual Survey of the Mathematical Sciences by 237departments in 158 universities in the United States. Each entry contains
the name of the recipient and the thesis title. The number in parenthesesfollowing the name of the university is the number of degrees listed forthat university. A supplementary list, containing names received sincecompilation of this list, will appear in a summer 2001 issue of the Notices.
Mathematics
Nettles, Elizabeth, T-Systems of the Math-ieu group M .
Ratkovich, Thomas, The algebra andtopology of extensions of finitely gen-erated profinite groups.
ARIZONAArizona StateUniversity (3)
Mathematics
Buskirk, Trent, Using nonparametric meth-ods for density estimation with complexsurvey data.
Bartels, Arthur C., Link homotopy incodimension two.
Conant, James Roger, A knot bounding agrope of n is n/2 trivial.
Han, Ilseop, Tractability of algebraic func-tion fields in one variable over globalfields.
Knight, Robert Dean, Using Laguerre ge-ometry to discover Euclidean theorems.
Kojcinovic, Slobodan, Extensions of CRmappings between generic algebraicsubmanifolds.
Kronewitter, F. Dell, Noncommutativecomputer algebra in linear algebra andcontrol theory.
Lamel, Bernhard R., Mappings of realsubmanifolds in complex spaces indifferent dimensions.
Leibon, Gregory D., Random Delaunaytriangulations, the Thurston-Andreevtheorem, and metric uniformization.
Shepler, Anne V., Semi-invariant forms.Skogman, Howard, Jacobi forms over
number fields.Wagner, Jennifer D., The combinatorics of
the permutation enumeration of wreathproducts between cyclic and symmetricgroups.
Willenbring, Jeb Faulkner, Stability prop-erties of q-multiplicities and branchingformulas for representations of theclassical groups.
University of California,Santa Barbara (5)
Mathematics
Jiang, Bin, Non-overlapping domain de-composition and heterogeneous mod-eling used in solving free boundaryproblems.
White, Matthew, Some bounds for closedhyperbolic 3-manifolds.
Statistics and Applied Probability
Kim, David, Quantile decomposition of adensity.
Mackey, Howard, Diagnostics for binaryresponse mixed models.
Wu, Dongfeng, Some contributions to thestudy of wavelet regression.
University of California,Santa Cruz (2)
Mathematics
Georgiou, Ion, Fluid problems with diffu-sion.
Zeitlhoefler, Thomas, A Poincare theoremand a slice theorem for Teichmuellertheory of punctured surfaces.
University of SouthernCalifornia (1)
Mathematics
Khan, Taufiquar, Inverse problems, iden-tification and control of distributed pa-rameter systems: Applications to spacestructures with active materials.
COLORADOColorado StateUniversity (5)
Mathematics
Lahme, Brigitte, Karhunen-Loeve decom-position in the presence of symmetry.
Livingston, Co, Periodic existence theo-rems in optimal control.
Seibert, James, The dimension of planarlinear systems.
Statistics
Leecaster (nee: Van Caster), Molly, Theautologistic model with covariates forsample data and robust sampling de-signs using predicted probability ofpresence.
Belloso, Rafael, A measurement modelusing path analysis with latent variablesto assess the student affective domainbefore the learning of intro. statistics.
Lee, Wan-I, The relationship betweenstudents’ proof writing ability and vanHiele levels of geometric thought incollege geometry.
Strickland, Jeffrey, How students makemeaning in a reform calculus course.
Yuan, Yuan, The impact of student learn-ing style and classroom environmentinteractions on the development ofthe function concept in college algebrastudents.
CONNECTICUTUniversity ofConnecticut (10)
Mathematics
Chueh, Chin-Mei, Stochastic economicmodeling for the deferred annuity (ac-cumulation) line of business.
Wagner, Michelle, A constructive versionof the blow-up.
Georgia Institute ofTechnology (7)
Mathematics
Bloomer, Lisa, Random probability mea-sures with given mean and variance.
Heckman, Christopher, Independent setsin graphs of bounded degree.
Hlineny, Peter, Planar covers of graphs:Negami’s conjecture.
Kerce, James, Geometric problems relat-ing evolution equations and variationalprinciples.
Klabjan, Diego, Topics in airline crewscheduling and long scale optimization.
Walls, Barrett, Coloring girth restrictedgraphs on surfaces.
Weedermann, Marion, On perturbation ofdelay-differential equations with peri-odic orbits.
University of Georgia (7)
Mathematics
Fuller, Edgar, The geometric and topolog-ical structure of holonomic knots.
Pootheri, Sridar, Characterizing and count-ing classes of unlabeled 2-connectedgraphs.
Watkins, Mark, Class numbers of imagi-nary quadratic fields.
Yu, Gang, Average size of the 2-Selmergroups of certain families of ellipticcurves over Q.
Statistics
Chen, Yinpu, Laws of large numbers forrandom sets and fuzzy random sets.
Wang, Ye, Parameter estimation of spacetime bilinear processes.
Zhou, Wenjiong, Generalized linear mod-els for spatially correlated data.
HAWAIIUniversity of Hawaii (3)
Mathematics
Heeney, Xiang Xia, Small lattices.Sun, Shuhao, Sheaf representations of
general rings.Zheng, Lixin, The essential norm and
spectrum of composition operators onspace of bounded analytic function.
IDAHOUniversity of Idaho (3)
Mathematics
Bailey, Allen, Rings whose Krull dimen-sions are larger than their cardinalities.
Huang, Lixin, On generators of the sym-metric and alternating groups and anapplication to Galois theory.
Mills, Harry, Positive solutions to asecond-order boundary value problem.
ILLINOISNorthern IllinoisUniversity (4)
Mathematical Sciences
Cassidy, Jean, Solving the TLS problemvia rank revealing LU factorization.
Devarajan, Karthik, Inference for a non-proportional hazards regression modeland applications.
Mugdadi, Abdel-Razzaq, Nonparametriccurve fitting of the probability densityfunctions of random variables withapplications.
Thrun, Jason, College student’s rational-number-as-operator strategies: A focuson students’ coordination of units anddistributivity of operators in problem-solving situations.
NorthwesternUniversity (3)
Mathematics
Borghesi, Simone, Higher degree formula.Gutman, Gary, Elliptic calculations in
Sears, Bradley, Two-element generationof unitary groups over finite fields.
Su, Meng, Some nonlinear boundary valueproblems of evolution equations.
Yan, Feng, Topics on stochastic differen-tial equations.
University of Chicago (21)
Mathematics
Andrianov, Fedor, Clifford algebras andShimura’s lift for theta-series.
Baranovsky, Vladimir, Moduli of sheaveson surfaces and action of the oscillatoralgebra.
Buch, Anders, Combinatorics of degener-acy loci.
Chen, Linda, Quantum cohomology offlag manifolds.
Hagelstein, Paul, Local integrability ofstrong and iterated maximal functions.
Hallstrom, Christopher, Heat transfer inrotating infinite Prandtl number con-vection.
Hunsicker, Eugenie, L2-cohomology andL2-harmonic forms for complete Kahlerand warped product metrics.
Isaksen, Daniel, A model structure on thecategory of pro-simplicial sets.
Miller, Russell, Computable model theoryand automorphisms of the computablyenumerable set.
Nevins, Thomas, Topology of modulispaces of framed sheaves on ruledsurfaces.
Pergler, Martin, Point stabilizers of con-nection preserving actions.
Przeworski, Andrew, Tubes in hyperbolic3-manifolds.
Przezdziecki, Adam, Homotopical local-ization at a space.
Robertson, Ian, The Euler class group ofa line bundle on an affine algebraicvariety over a real closed field.
Rowland, Todd, Smooth holomorphiccurves in S6.
Sun, Jian, K Matrix on manifolds.Thomas, Hugh, An action of equivariant
Cartier divisors on invariant cycles fortoric varieties.
Wald, Kevin, Automorphisms and non-invariant properties of the computableenumerable sets.
Wittwer, Janine, A sharp estimate on thenorm of the Martingale transform.
Zhao, Wenhua, Generalization of genuszero two dimensional conformal fieldtheory; some results on Jacobian andintersection number of affine curves inC2.
Statistics
Hayashi, Takaki, Hedging of contingentclaims under model uncertainty.
University of Illinois,Chicago (12)
Mathematics, Statistics and
Computer Science
Cogolludo-Agustin, Jose, Topological in-variants of the complement to arrange-ments of rational plane curves.
Fields, Joseph, On extremal self dualcodes.
Freitas, Pedro, On the action of thesymplectric group on the Siegel upperhalf plane.
Eichhorn, Dennis, Some results on thecongruential and gap-theoretic study ofpartition functions.
Ho, Jeffrey, On the quantum cohomol-ogy of Fano toric manifolds and theintersection cohomology of singularsymplectic quotients.
Kalikakis, Dimitrios Emmanuel, Saddlesurfaces.
Kim, Seon-Hong, Sums of polynomials,minmax problems and number theory.
Kuhlman, Douglas Andrew, On the ordersof Jacobians of hyperelliptic curves.
Kundgen, Andre, Problems in extremalgraph theory.
Liaw, Wen-Chin, Contributions to Ra-manujan’s theories of modular equa-tions, Ramanujan-type series for 1/π ,and partitions.
Maneesawarng, Chaiwat, External prob-lems for curves in metric spaces ofcurvature bounded above.
McLallen, Nicola Whitley, The mod-3 co-homology ring of the O’Nan sporadicsimple groups.
Perry, David Michael, Maximal 2-exten-sions of number fields.
Richert, Benjamin, Monomial ideals, N-lists, and smallest graded Betti num-bers.
Saveliev, Peter, Fixed points and coinci-dences.
Schwartz, Gary Keith, A reduction forDade’s conjecture.
Song, Joung-Min, Sums of multiplica-tive functions over 4-smooth numbersand related differential difference equa-tions.
Troitsky, Vladimir, Invariant subspaceproblem and spectral properties ofbounded linear operators on Banachspaces, Banach lattices, and topologicalvector spaces.
Statistics
Fu, Limin, Unified ordinal regression:Model assessment and semiparametricanalysis.
Gao, Yonghong, Rank-based proceduresfor some multivariate problems.
INDIANAIndiana University,Bloomington (11)
Mathematics
Biswas, Animikh, On the lifting of inter-twining operators and their parameteri-zation.
Cheng, Wenfang, An under-resolvedscheme for certain partial differentialequations with boundary layer.
Lazarovici, Laurentiu, Elliptic sectors insurface theory and the Caratheodory-Loewner conjectures.
McCoy, Charles, Relativization, categoric-ity, and dimension.
Miller, Charles, New types of soliton solu-tions in nonlinear evolution equations.
IOWAIowa State University (22)
Mathematics
Baccam, Prasith (Sid), Genetic variationand evolution of equine infectious ane-mia virus rev quasispecies during longterm persistent infection.
Chun, Changbum, Error estimates forthe bifurcation function for semilinearelliptic boundary value problem.
James, Edna, Stochastic models for sur-face adsorption and reaction processes.
Mills, Mark, The intersection of someclassical equivalence classes of matri-ces.
Pamuk, Serdal, Two dimensional modelsof tumor angiogenesis.
Statistics
Abbitt, Pamela J., Quantile estimationusing auxiliary information with appli-cation to soil texture data.
Barnet, Barbara Dombroski, A compari-son of the effects of using interactivecomputer simulations versus hands-onactivities on the conceptual under-standing and attitudes of introductorystatistics students.
Chiang, Andy Kok-Leong, Confidence in-tervals for functions of variance com-ponents.
Dodd, Kevin Wayne, Estimation of adistribution function from survey data.
Doctoral Degrees Conferred
224 NOTICES OF THE AMS VOLUME 48, NUMBER 2
Dubinin, Thomas, Likelihood-based in-ference in some partially non-regularexponential families.
Gabrosek, John, The effect of locationaluncertainty in geostatistics.
Goyeneche, Juan-Jose, Estimation of thedistribution function using auxiliaryinformation.
Hawkins, Richard, Numerical optimiza-tion of recursive systems of equationswith an application to optimal swinegenetic selection.
Kwon, Sun-Hee, Clustering in multivariatedata: Visualization case and variablereduction.
Peternelli, Luiz Alexandre, Genetic covari-ances between inbred progenies andtheir testcrosses.
Roy, Anindya, Estimation for autoregres-sive processes.
Schuckers, Michael Edward, Bayesiananalysis of hierarchical models forpolychotomous data from a multi-stagecluster sample.
Tsao, L. Claire, Statistical methods forcount data from designs with nestedstructure.
Wright, Deanne Lynn (Reber), Inferencefor extremes with applications to animalbreeding and disease mapping.
Wright, Kevin Douglas, Applications ofinterval analysis to selected topics instatistical computing.
Zheng, Zugeng, Studies in heavy trafficand in production systems.
University of Iowa (15)
Applied Mathematical and
Computational Science
Aulwes, Rob, Computational methodsin dual representations and invarianttheory.
Biostatistics
Kirchner, H. Lester, Simultaneous estima-tion of intra- and pairwise inter-rateragreement under class exchangeabil-ity and order restricted properties formultiple raters.
Manos, George, A mixed effects gener-alized linear model approach to theanalysis of binary longitudinal datasubject to informative drop-out usingMarkov chain Monte Carlo methods.
Slager, Susan, Linkage disequilibriummapping of complex disorders: In-vestigating statistical power to detectlinkage.
Tang, Shenghui, Analysis of longitudinaldata with informative competing causesof dropout.
West, Colin, An approach to longitudinalstudies involving repeated categoricaloutcome variables with missing data.
Mathematics
Chen, Jiuhua, Numerical analysis ofsome contact problems for elastic-viscoplastic materials.
Forman, Sylvia, Two star operations andtheir induced lattices.
Huang, Da, Nested sequence of balls andalmost locally uniform rotundity.
Misaghian, Manouchehr, Theta corre-spondences (U(1),U(2)) over a p-adiclocal field.
Stefan, Marius, On the hyperfinite andabelian dimensions of free group fac-tors.
Tran, Thai-Duong, Invariant theory forinfinite-dimensional classical groups.
Statistics and Actuarial Science
Carolan, Christopher, Asymptotic behav-ior of order restricted estimators underequality.
Jordan, Joy, A test of marginal homo-geneity versus stochastic ordering incontingency tables.
Kim, Jong Sung, Proportional hazardsmodel with arbitrarily interval-censoreddata.
KANSASKansas State University (9)
Mathematics
Canning, Eric, A smoothness property ofwavelet paraproducts.
Garth, David, Small limit points of setsof algebraic interest.
Kasikova, Anna, On hyperplanes ofhexagonic geometries.
Laird, Richard, The mod-2 cohomologyof the Sylow-2 subgroup of the Higman-Sims sporadic simple group.
Mosbo, Magdalena, Compression of stereoaudio data with vector-valued wavelets.
Rodnianski, Igor, Pseudoholomorphiccurves in almost complex manifolds.
Statistics
Brown, Duane, Multiresponse lack-of-fittests for non-replicated data.
Chen, Yihfen, Significance tests for un-replicated experiments.
McCarter, Kevin S., Estimation and pre-diction for the Birnbaum-Saunders dis-tribution using type-II censored sam-ples, with a comparison to the inverseGaussian distribution.
University of Kansas (4)
Mathematics
Lawner, Richard, Urysohn connectifica-tions of Hausdorff spaces.
Matache, Mihaela (Dora), From reality toabstract in stochastic processes appliedto telecommunications.
Taylor, Amelia, Initial ideals and the in-verse problem in Groebner basis theory.
Toda, Magdalena, Pseudospherical sur-faces via moving frames and loopgroups.
Wichita State University (1)
Mathematics and Statistics
Kunyansky, Leonid, Numerical and ana-lytical study of problems of photoniccrystals theory.
KENTUCKYUniversity of Kentucky (12)
Mathematics
Aldrich, Stephen, Exact and semisimpledifferential graded algebras and mod-ules.
Aossey, Cynthia, 3PC(·, ·)-free Bergegraphs are perfect.
Bevelacqua, Anthony J., Isotropy of 4-dimensional torsion quadratic formsover F (x,y) for certain fields F .
Faulkner, Leanne, Engel properties formodular group algebras.
Lutzer, Carl, On the extraction of topo-logical and geometric data from thespectrum of the Dirichlet to Neumannoperator.
Riley, Douglas A., Global existence ofstrong solutions to the three-dimen-sional incompressible Navier-Stokesequations with special boundary condi-tions.
Devillier, Chris, Conditional Cauchy equa-tions of the cylindrical type and appli-cations.
Huang, Feng-Kuo, Polynomials and poly-nomial functions.
Lewallen, John, Left self distributivelygenerated algebras.
McClendon, Michael, A non-strongly nor-mal regular digital picture space.
Wang, Liwen, The generalized quasilin-earization method and blow-up resultsfor nonlinear problems.
Zhao, Chenglin, Blow-up and quench-ing for solutions of some parabolicequations.
MARYLANDJohns HopkinsUniversity (17)
Biostatistics
Blume, Jeffrey, On the probability ofobserving misleading evidence in se-quential trials.
Chiu, Yen-Feng, Multipoint linkage detec-tion in the presence of heterogeneity.
Garrett, Elizabeth, Graphical diagnostictools for standard latent class and latentclass regression model assessment withan application in describing depressionand validating diagnostic criteria fordepression.
Huang, Guan-Hua, Analysis of multipleindicators using marginal models andlatent class regressions.
Kou, Jingyee, A predictive spatial-temporalmodel for boreal forest succession.
Miglioretti, Diana, Template mixture mod-els for functional brain mapping.
Xu, Jane, Surrogate endpoints in theanalysis of longitudinal data.
Mathematical Sciences
Chen, Dalei, Borrowed strength densityestimation and applications.
Cheng, Christine, Three problems ingraph labeling.
Deeney, Megan, Optimal location of me-sometric facilities.
Huang, Jacqueline, American options andcomplementarity problems.
Metzler, Carolyn, Complementarity mod-els of competitive oligopolistic electricpower distribution markets.
Tao, Peng, The generalized borrowedstrength method and the application toimage recognition.
Gurski, Katharine Fortune, Decay rates ofinternal waves in viscous near-criticalfluids.
Konikov, Mikhail, Parameter estimationwith appreciation to finance.
Kozinster, Boris, Computations with Gaus-sian random fields.
Levitan, Svetlana, Mathematical modelingof lateralization and asymmetrics incortical maps.
Marmolejo-Olea, Emilio, Morera type prob-lems in Clifford analysis.
Pfander, Gotz, Periodic wavelet trans-forms and periodicity detection.
Shklover, Vladimir, Schiffer problem andisoparametric hypersurfaces.
Tempkin, Joshua, Spurions Lyapunov ex-ponents computed using the Eckmann-Ruelle procedure.
Treiber, Oliver, Affine data representa-tions and filter banks.
Wilber, John P., Global attractors for adegenerate partial differential equationfrom nonlinear viscoelasticity.
Wyss-Gallifent, Justin O., Discreteness oftriangle groups in complex hyperbolicspace.
Yi, Inhyeop, Canonical symbolic dynam-ics for one-dimensional generalizedsolenoids.
Measurement, Statistics and
Evaluation
Fein, Melissa, Comparison of HLM andML win multilevel analysis softwarepackages: A Monte Carlo investigationinto quality of estimates.
Nevitt, Jonathan, Evaluating small sampleapproaches for mode test statistics instructural equation modeling.
MASSACHUSETTSBoston University (5)
Biostatistics
Nam, Byung Ho, Discrimination and cal-ibration in survival analysis: Extensionof area under the ROC curve for dis-crimination and chi-square test forcalibration.
Mathematics and Statistics
Cheung, Kin, Semiparametric estimationof the long memory parameter in Farimamodels.
Gao, Tangan, Finding all isolated rootsof polynomial systems in Cn via stablemixed volume.
Kang, Joon Hyuk, The uniqueness ofpositive solution to generalized Lotka-Volterra competition model.
Mark, Thomas, Torsion, TQFT, andSeiberg-Witten invariants of three-mani-folds.
Wang, Tianjun, Determining the Jordannormal form of a matrix.
Statistics and Probability
Demopolos, James A., Continuous timearbitrage approached as a problem inconstrained hedging.
Dey, Jyotirmoy, Some properties andcharacterizations of neutral to the rightpriors and beta processes.
Geraldes, Margarida C., Covariates inadaptive designs for clinical trials.
Park, Chanho, Super-replication of Euro-pean exotic options.
Sundaram, Rajeshwari, Estimation in twosample doubly censored scale model.
White, Alexander, Exponentiated gradientportfolios in continuous time.
University of Michigan,Ann Arbor (29)
Biostatistics
Elliot, Michael, Models and methods forthree problems in survey statistics: Sub-sampling callbacks to improve surveyefficiency; model-based alternatives toweight trimming and methods for com-bining information from a census, acoverage measurement survey.
Heeringa, Steve, Multivariate imputationof coarsened survey data on householdwealth.
Doctoral Degrees Conferred
FEBRUARY 2001 NOTICES OF THE AMS 227
Johanns, Jewel, The statistical analysisof index variables containing missingdata.
Langefeld, Carl, The application of statis-tical methods for highly stratified datato linkage and association analyses ofcomplex genetic traits.
Li, Yi, Inference in frailty measurementerror models.
Ombao, Hernando, Statistical analysis ofnon-stationary time series.
Somayaji, Veena, Marginal regressionmodels for analyzing mixed discreteand continuous responses.
Stringham, Heather, Bayesian solutionsto problems of uncertainty in geneticdata.
Mathematics
Dabija, Marius, Algebraic and geometricdynamics in several complex variables.
Evans, Richard, Deformation spaces ofhyperbolic 3-manifolds: Strong conver-gence and tameness.
Faridi, Sara, Closure operations on ideals.Fields, Bruce, Length functions deter-
mined by killing powers of severalideals in a local ring.
Hall, Eric, Generic extensions of permu-tation models of set theory.
Holt, John, The global topology of defor-mation of spaces of Kleinian groups.
Johnston, Bryan, The values of the Milnorgenus on smooth irreducible projectivevarieties over the complex numbers.
Karnik, Satyajit, Group actions on moduliof vector bundles.
Keeler, Dennis, Noncommutative ampledivisors.
Knapp, Michael, Forms in many variablesover p-adic fields.
Palen, Joseph, Bounds for class numbersof cyclotomic function fields.
Ranganathan, Nandini, Splitting in mod-ule-finite extension rings and the van-ishing conjecture for maps of Tor.
Dunlop, Anthony, Degrees of unsolvabil-ity in relative computability of realnumbers.
Foursov, Mikhail, On integrable evolutionequations in commutative and noncom-mutative variables.
Haile, Haile, Homomorphisms of poly-nomial rings and the semigroups andminimal resolutions associated withthem.
Kogan, Irina, Inductive approach to Car-tan’s moving frame method with appli-cations to classical invariant theory.
Liakhova, Julia, A theory of magnetostric-tive thin films with applications.
Martinez, Salome, Diffusion and cross-diffusion in the multi-species Lotka-Volterra competitive system.
Mitrea, Irina, Spectral properties of el-liptic layer potentials on nonsmoothdomains.
Ouyang, Yi, Group cohomology of theuniversal ordinary distribution and itsapplication.
Roman, Luis, On numerical solutions ofstochastic differential equations.
Rudnaya, Svetlana, Analysis and optimaldesign of diffractive optical elements.
Villarroel-Flores, Rafael, Equivalent homo-topy type of categories and preorderedsets.
Walther, Hans Ulrich, Algorithmic com-putation of local and DeRham coho-mology—an application of D-moduletheory to algebraic geometry and com-mutative algebra.
Yan, Xiaodong, Topics in regulatory ofnon-linear elliptic and parabolic sys-tems.
Yang, Xiangrong, Analysis of numeri-cal methods for nonlinear hyperbolicconservation laws.
Yi-Ju, Chao, Diffusion approximation ofa sequence of semimartingales and itsapplication in exploring the asymptoticbehavior of some queueing networks.
Statistics
Brown, Brandon Scott, A noninforma-tive Bayes approach to nonparametricbinary estimation.
Fan, Sheng-hua, Optimal designs of mul-tivariate responses.
Kim, Donghoh, Likelihood inference forspatial lattice processes.
Musser, Bret, Extensions to recursivepartitioning.
Tsai, Chin-Pei, Bayesian experimental de-sign with multiple prior distributions.
Wallstrom, Garrick, Consistency andstrong inconsistency of inference.
MISSISSIPPIMississippi StateUniversity (4)
Mathematics and Statistics
Al-Mahmoud, Ahmad M., Prediction inter-vals and regions for some measures oflocation.
Cao, Lilun, An efficient numerical algo-rithm for solving nonlinear reaction-diffusion equation.
Chhetri, Maya, Solvability of classes ofsemipositone problems.
Singh, Pradeep, Multivariate regressionmodel with random intercepts.
University ofMississippi (1)
Mathematics
Hunt, Daniel, Threshold dose-responsemodels in teratology.
MISSOURISt. Louis University (1)
Mathematics and Computer Science
Jeevanjee, Theresa, The mapping classgroup and isometries of orbifolds whichare double-covered by lens spaces andwhich contain DNA knots.
Mitra, Sudeb, Teichmuller theory andholomorphic motions.
O’Shea, Luis, Abelian sesquisymplecticconvexity for orbifolds.
Stephenson, David M., Asymptotic densityin an n-threshold randomly coalescingand annihilating random walk on thed-dimensional integer lattice.
Statistical Sciences
Newton, Elizabeth, The epidemic thresh-old and contact number with implica-tions for optimal vaccination strategies.
New York University,Courant Institute (21)
Mathematical Sciences
Baik, Jinho, Riemann-Hilbert problemsand random permutations.
Blank, Ivan, Sharp results for the regular-ity and stability of the free boundary inthe obstacle problem.
Chang, Nai-Heng, Schrodinger maps withapplications to the ferromagnetic equa-tions.
Chechkin, Fedor, Convergence of wavemaps and regularity of Yang-Mills solu-tions.
Connell, Cameron, Coarsening of stepbunches in step flow growth: A reaction-diffusion model and its sharp interfacelimit.
Fast, Petri, Dynamics of interfaces innon-Newtonian Hele-Shaw flow.
Friedman, Craig, The method of multipleprobability measures in mathematicalfinance: No arbitrage securities markets,Cartright claim pricing, and modelcalibration.
Garcia Cervera, Carlos, Magnetic do-mains and magnetic domain walls.
Goodman, Roy, Asymptotics for the lead-ing edges of midlatitude storm tracks.
Huang, Yi-Hong, Theory and numericalsimulations of slender-body dynamicsin 3D Stokes flow.
Jensen, Leif, Large deviations of theasymmetric simple exclusion process.
Doctoral Degrees Conferred
230 NOTICES OF THE AMS VOLUME 48, NUMBER 2
Jung, Eunok, 2-D simulations of valuelesspumping using the immersed boundarymethod.
Kruk, Lukasz, Optimization problems fordiffusion processes: Some aspects ofsingular stochastic control and mini-mum relative entropy calibration.
Lui, Yuan Samson, Numerical methodsfor incompressible flows in vorticityformulation with application to com-bustion.
Menguy, Xavier, Examples of manifoldsand spaces with positive Ricci curva-ture.
Nykamp, Duane, A population density ap-proach that facilitates large-scale mod-eling of neural networks.
Ramirez, Jose, Short time asymptotics inDirichlet spaces.
Arenas, Luis, Spinor genera under fieldextensions for skew-Hermitian formsand cohomology.
Cashy, John, Irreducible graphs for theKlein bottle.
Gonciulea, Constantin, Virtual epimor-phisms of coxeter groups onto freegroups.
Gorokhovsky, Alexander, Explicit formu-lae for characteristic classes in noncom-mutative geometry.
Gries, Daniel, On the cohomology of thehyperelliptic mapping class group.
Ragozzine, Charles, On Hopf algebrasgenerated by coalgebras.
Ralfs, Arthur, Electrically coupled relax-ation oscillators with applications tobiophysics.
Roberts, Joel, Explicit families of ellip-tic curves with prescribed mod sixrepresentations.
Siap, Irfan, Generalized r -fold weightenumerators for linear codes and newlinear codes with improved minimumdistances.
Snyder, Brian, Hyperdifferential opera-tors on function fields and their appli-cations.
Yang, Zifeng, Non-Archimedean analy-sis over function fields with positivecharacteristic.
Yeh, Jieh-Shan, The large sets of T -(v,k, λ) designs.
Statistics
Bortnick, Steven Mark, Searching for de-signs that are optimal for simultaneousinference when comparing multiple testtreatments with a control in the pres-ence of one way heterogeneity.
Miller, Jacqueline B., The quest forthe constructivist statistics classroom:Viewing practice through constructivisttheory.
Doctoral Degrees Conferred
232 NOTICES OF THE AMS VOLUME 48, NUMBER 2
Swift, Dionne Pratt, WISE: Weighted impu-tation for standard errors. An alterativeimputation method.
Liu, Qi, Randomization tests for clusteredbinary data.
Peng, Chung-Yang, Directions or arrivalestimation and association detection inunknown noise fields.
Railkar, Radha, Alternative strategiesfor analyzing stratified comparativebinomial trials.
Wang, Wubao, A class of general lin-ear mixed models with application tothe assessment of individual bioequiva-lence.
University ofPennsylvania (8)
Mathematics
Dergachev, Vladimir, Index of Lie alge-bras and associative algebras.
Dickinson, William, Curvature propertiesof the positively curved Eschenburgspaces.
Fang, Weimin, Left invariant metrics onsimple compact Lie groups and metricson spheres.
Liu, Xiong, Separating projections andcontractivity in von Neumann algebras.
Masenten, Robert, Generalized exponentsof sln(C).
Pries, Rachel, Formal patching and de-formation of wildly ramified covers ofcurves.
Zharkov, Ilya, Torus fibrations of Calabi-Yau hypersurfaces in toric varieties.
Statistics
Li, Yunfei, Optimal balanced matching.
University ofPittsburgh (13)
Biostatistics
Chen, Wei, Utilization of non-complianceinformation in clinical trial.
Lang, Wei, Application of copula torepeated measures data.
Yu, Kai, Statistical methods for analyzingtetrad crossover probabilities.
Mathematics
Ai, Shangbing, Multipulse orbits for asingularly perturbed nearly integrablesystem.
Bennett, Therese L., Best approximationin quotient spaces with application tothe finishing of optical surfaces.
Iliescu, Traian, Large eddy simulation forturbulent flows.
Kirat, Ibrahim, Integral self-affine tilesand expanding matrices.
Liakos, Anastasios, Weak imposition ofboundary conditions in the Stokes andNavier-Stokes equations.
Shahmohamad, Hossein, On nowhere-zero flows, chromatic equivalence andflow equivalence of graphs.
Wu, Xiaojun, Enumeration over q-semi-rings of formal power series.
Xu, You, Fractals and tilings.
Statistics
Houngbedji, Aurele, Jump diffusion pro-cesses: Discrete-time option replicationand pricing European call options in thepresence of transaction costs.
Wendt, David Arthur, Analysis of multidi-mensional categorical data.
RHODE ISLANDBrown University (11)
Applied Mathematics
Buche, Robert, Stochastic approximation:Rate of convergence for constrainedalgorithms; asynchronous algorithmsand analysis of a competitive resourcesharing problem.
Du, Yiqing, Parallel DNS of electro-magnetic flow control.
Huang, Jinggang, Statistics of images andmodels.
Marmanis, Haralabos, Analogy betweenthe electromagnetic and hydromagneticequations: Application to turbulence.
Mathematics
Akhtar, Reza, Milnor K-theory and zero-cycles on algebraic varieties.
Fridman, Arthur, Mixed Markov fields.Getachew, Selemon, Galois theory of
polynomial iterates.Ih, Su-ion, Height uniformity for algebraic
and integral points on curves.Lepsky, Olga, High order numerical ap-
proximations of nonlinear Hamilton-Jacobi equations and approximation ofelasticity problems using Stokes prob-lems.
Muscalu, Florin, Lp estimates for mul-tilinear operators given by singularsymbols.
Reid, Michael, Investigations into Gross’generalized class number formula andthe p-adic Stark conjecture.
University of RhodeIsland (3)
Mathematics
Briden, William, On some nonautonomousdifference equations of the max type.
Prokup, Norman, Boundedness, globalstability and periodicity of some differ-ence equations.
Teixeira, Christopher, Existence, stabilityand periodicity of some differenceequations.
SOUTH CAROLINA
Clemson University (6)
Mathematical Sciences
Chen, Xibin, Method of feasible directionsfor non-linear programming.
Clark, Steven, Stochastic control of aresearch and development project.
Hadavas, Paul, Exploiting network sub-structures and persisting in solving 0-1and general non-convex optimizationproblems.
Lawson, Linda, Multigrid dynamic pro-gramming.
Mills, Donald, Root-based polynomialcompositions over finite fields.
Schandl, Bernd, Norm-based evaluationand approximation in multicriteria pro-gramming.
Medical University ofSouth Carolina (6)
Biometry and Epidemiology
Daehler-Wilking, Richard, Numeric mod-eling of subsurface groundwater flowto examine pesticide transport fromagricultural fields toward estuaries andtidal marshes on Wadmalaw Island ofSouth Carolina.
Richardson, William Harrington Jr., Devel-opment of an optimization process fordose treatment planning for multiplearc sterotactic radiosurgery.
Schubauer-Berigan, Mary Katherine, Dosevariablility and risk-benefit analysis ofmammography screening.
Schwacke, Lorelei Hoffman, A frame-work for the assessment of healthrisks for bottlenose dolphins (Tursiopstruncatus) associated with exposure topolychlorinated biphenyls (PCBs).
Shaban, Sami Fuad, A knowledge-basedapproach to the design and automatedgeneration of clinical trial managementsystems.
Thompson, Richard Eugene, A probabili-istic model for predicting polycyclicaromatic hydrocarbon (PAH) bioavail-ability to American oysters (Crassostreavirginia) inhabiting South Carolina estu-arine environments.
Doctoral Degrees Conferred
234 NOTICES OF THE AMS VOLUME 48, NUMBER 2
University of SouthCarolina, Columbia (7)
Epidemiology and Biostatistics
Brandon, Dennis L., Data analysis meth-ods for ecological risk assessmentbioassays.
Mathematics
Andrianov, Alexander, Nonlinear Haarapproximation of some multivariateclasses of functions.
Etzel, Carol J., Meta-analysis for geneticlinkage studies.
Kuo, Jo-Kang, Mapping quantitative traitloci: Sampling considerations using bi-variate data.
Pitblado, Jeffrey, Estimating partially vari-able bandwidths in local linear regres-sion using an information criterion.
Texas A&M University (15)
Mathematics
Diener, Andrew, Distributive elements incentralizer near-rings.
Farag, Mark, On the structure of polyno-mial near-rings.
Gopalakrishnan, Jayadeep, On the mortarfinite element method.
Harris, Roy Joseph, Quadratic convexity.
Huang, Hong, Mixed finite element ap-proximations for obstacle problemswith applications to American options.
Sopasakis, Alexandros, Theory of thePrigogine-Herman kinetic equation ofvehicular traffic.
Turner, Christian, The mechanics ofecosystems.
Wilmarth, Steven, A probabilistic methodfor rigid body motion planning usingsampling from the medial axis of thefree space.
Statistics
Al-Khouli, Abeer, Robust estimation andbootstrap testing for the delta dis-tribution with applications in marinesciences.
Hrafnkelsson, Birgir, Principal compo-nent time series and autoregressiveestimates.
Klipple, Karon, Error variance estimationand testing for homoscedasticity inpartially linear models.
Lee, Cherng-Luen (Alan), Robustnessproperties of time series cross-valida-tion.
Olmsted, Ann Vlalls, Algorithms usingchi-squared and other goodness of fittests to identify a high-expectationsubset of independent Poisson randomvariables, or a subset of multinomialcells having relatively high probabilities,with application in chromosomal fragilesite identification.
Park, Inho, The use of sample surveydata for estimation of the tails ofdistribution functions.
Qawasnu, Ahmad, Regularity of theHodge-Weyl decomposition.
Tecarro, Edwin, Qualitative analysis of amodel of the mammalian cell cycle’s G1phase.
University of NorthTexas (3)
Mathematics
Huff, Cheryl, Countable additivity, ex-haustivity, and the structure of certainBanach lattices.
Sawyer, Cameron, On the cohomology ofthe complement of a toral arrangement.
Smith, John Carl (Trey), Computing ultra-powers by supercompactness measures.
University of Texas,Arlington (5)
Mathematics
Chen, Shianc-Jiun, The finite elementmethod of least squares type.
Durmus, Soner, The effects of the use ofthe technology of college algebra stu-dents’ achievement and attitude towardmathematics: A constructive approach.
Doctoral Degrees Conferred
FEBRUARY 2001 NOTICES OF THE AMS 235
Erol, Yilmaz, Computations in algebraicgeometry.
Flint, Donna, Nonlinear ordinary differ-ential equations with discontinuities.
Hand, Jeffrey, Minimization of residualvectors in photogrammetry using theChebyshev norm.
University of Texas,Austin (10)
Computational and Applied
Mathematics
Riviere, Beatrice, Discontinuous Galerkinmethods for solving the miscible dis-placement problem in porous media.
Vardapetyan, Leon, hp-Adaptive finiteelement method for electromagneticswith applications to waveguiding struc-tures.
butions for some hierarchical modelsand roundoff effects in the Gibbs sam-pler.
University of Texas,Dallas (2)
Mathematical Sciences
Chen, Zhenwu, Trimmed and WinsorizedM- and Z-estimators, with applicationsto robust estimation in neural networkmodels.
Ramirez-Perez, Filemon, Contributions toshot noise on cluster processes withcluster marks.
University of Texas,Houston (4)
Biometry
Barnholtz, Jill, Traditional linkage analy-sis in admixed families.
Chang, Chung-chi, Analysis of recurrentfailure times: A time-dependent Yuleprocess approach.
Chen, Dung-Tsa, Mixed effects model innegative exponential curve.
McGhee, Charles Reed, Forecasting costbased on a stochastic utilization planand a fixed cost function.
UTAHBrigham YoungUniversity (2)
Mathematics
Chen, Fengxin, On the nonlocal phasefield models.
Wang, Junping, Bifurcation from simpleeigenvalues of some elliptic equationsand topics in nonlocal phase fieldsystems.
University of Utah (3)
Mathematics
Brinkmann, Peter, Mapping tori of auto-morphisms of hyperbolic groups.
Grabovsky, Irina, Asymptotic analysis inchange point problems.
Sather-Wagstaff, Sean, A dimension in-equality for excellent Cohen-Macaulayrings related to the positivity of Serre’sintersection multiplicity.
Utah State University (1)
Mathematics and Statistics
Hillyard, Cinnamon, Construction andanalysis of a family of numerical meth-ods for hyperbolic conservation lawswith stiff source terms.
VERMONTUniversity of Vermont (2)
Mathematics and Statistics
LaVarnway, Gerard, Almost-periodicfunctions in a half-plane.
Stevens, Scott, Supraclavicular, lumped-parameter models for dynamic intracra-nial pressures.
VIRGINIAGeorge MasonUniversity (2)
Information Technology and
Engineering
Flanagan, Brian, Self-calibration of an-tenna arrays with application to direc-tion of arrival estimation.
Zarnich, Robert, A unified method forthe measurement and tracking of nar-rowband contacts from an array ofsensors.
Old DominionUniversity (2)
Mathematics and Statistics
Arnold, Julia, Diffusion problems inwound healing and a scattering ap-proach to immune system interactions.
Hannon, Patrick, Estimation of param-eters for the truncated exponentialdistribution.
University of Virginia (8)
Mathematics
Boner, Christopher, Characterization ofabsolute summands of categories ofdivisible codes.
Hodge, Terrell, Some structures utiliz-ing involutions on algebraic groups incharacteristic p.
Richman, Alexander, Subnormality andcomposition operators on weightedBergman spaces.
Siemers, Troy, Some Krein space realiza-tions of generalized Schur functions.
Theoret, Julie, Geometry of a cubic Jordanalgebra.
Statistics
Dunbar, Stephanie Allison, Order re-stricted inference with an applicationto phase I studies in oncology.
Gregory, Krag R., General linear pro-cesses induced by orthogonal polyno-mial expansions.
Prescott, Katherine E., Some tests for or-dered alternatives in generalized linearmodels.
Virginia PolytechnicInstitute and StateUniversity (15)
Mathematics
Atwell, Jeanne, Proper orthogonal decom-position for reduced order control ofpartial differential equations.
Chudoung, Lerawan, Robust control forhybrid nonlinear system.
Galinaitis, William, Two methods formodeling scalar hysteresis and their usein controlling actuators with hysteresis.
Hulsing, Kevin, Methods for computingfunctional gains for LQR control ofpartial differential equations.
Jilcott, Steven, Time-dependent perturba-tion and the Born-Oppenheimer approx-imation.
Moss, George, Mathematical models of thealpha-beta phase transition of quartz.
Schenck, David, Some formation prob-lems for linear elastic materials.
Song, Degong, On spectrum of neu-tron transport equations with reflectingboundary conditions.
Stanley, Lisa, Computational methods forsensitivity analysis with applications toelliptic boundary value problems.
Statistics
Burt, David, Bandwidth selection con-cerns for jump point discontinuitypreservation in the regression settingusing-M-smoothers and the extensionto hypothesis testing.
Darken, Patrick, Testing for changes intrend in water quality data.
Kathman, Steven, Discrete small sampleasymptotics.
Lin, Hefang, One-stage and Bayesiantwo-stage optimal designs for mixturemodels.
Doctoral DegreesConferred 1998–1999Supplementary ListThe following list supplements the list of thesistitles published in the 2000 Notices, pages253–271.
ALABAMAUniversity of Alabama,Tuscaloosa (1)
Mathematics
Libis, Carl, Sums of powers and gen-eralizations of Bernoulli and relatedpolynomials.
Doctoral Degrees Conferred
FEBRUARY 2001 NOTICES OF THE AMS 237
COLORADOUniversity of NorthernColorado (1)
Mathematical Sciences
Su, Robert, The effects of enhancedweb-based instruction on preserviceteachers’ mathematics achievement andattitude changes toward mathematicsand toward computers in Taiwan.
FLORIDAFlorida Institute ofTechnology (2)
Mathematical Sciences
Rizzo, Rebecca, Variational comparisonmethod and stability theory of hybridsystems.
Stephens, Desmond, ELMRES: An obliqueprojection method to solve sparse non-symmetric linear systems.
MICHIGANWayne State University (2)
Mathematics
Jankunas, Andrius, Estimation of param-eters and difference equations.
Lababidi, Samir, Nonparametric estima-tion with small noise diffusion pro-cesses.
NEW JERSEYNew Jersey Institute ofTechnology (1)
Mathematical Sciences
Samulyak, Roman, Dynamical systemsassociated with particle flow models:Theory and numerical methods.
NORTH CAROLINADuke University (1)
Statistics and Decision Sciences
Stroud, Jonathan, Bayesian analysis ofnonlinear time series models.
Doctoral Degrees Conferred
238 NOTICES OF THE AMS VOLUME 48, NUMBER 2
1
Doctoral DegreesConferred 1999–2000Supplementary List
The following list supplements the list of thesis titles publishedin the February 2001 Notices, pages 219–37.
CALIFORNIA
University of California,Los Angeles (6)
STATISTICS
Bentow, Stanley, A Markov chain Monte Carlo method forapproximating 2-way contingency tables with applica-tions in the stability analysis of ecological ordination.
Brauerman, Amy, A rate-disorientation approach to mas-sive data set analysis.
Bond, Jason, A robust approach to SIR estimation.
Hu, Ming-Yi, Model checking for incomplete high di-mensional categorical data.