Complete list of Ph.D.'s Awarded

The generalized form of the Lorentz transformation

Conditions on two singular matrices A and B such that AB and BA may have the same reduced characteristic function

The development of formulas for columns with varying moment of inertia and end

Julian H. Blau

Some theorems on the approximation of irrational numbers by the convergents of their continued fractions

On sets of integers which contain no three in arithmetical progression and on sets of distances determined by finite point sets

On the impossibility of an odd perfect number N not divisible by 5 with six different prime divisors

Steady state temperature distribution between solids and gases under nonlinear boundary conditions

A method for the numerical computation of the characteristic roots of a matrix and extensions of some theorems of P. Stein

1957

Generalizations of some theorems on positive matrices to completely continuous linear operators in a normed linear space

1972

Weak compactness and topological groups

N.C. Central University, Durham, NC

Concerning some generalizations of separability

Guilford College, Greensboro, NC

Some results concerning elastic spaces

University of California at San Diego, San Diego

1973

Factorizations and majors of geometric strong maps

Baylor School, Chattanooga, TN

Representing measures with values in locally convex Hausdorff spaces

Oakland University, Rochester, MICH

Smash coproducts and decompositions of Hopf algebras

Oakland University, Rochester, MICH

Banach spaces of l^p valued holomorphic mappings

Clemson University, Clemson, SC

An obstruction to nowhere integrable 2 plane fields on 4-manifolds

Mass. Institute of Technology, Cambridge, MA

Topologies determined by classes of nets

N.C. Central University, Durham, NC

A Banach space and projective limit of the H^p spaces

Deering Milliken, Customer Information Center, La Grange, CA

Mappings in combinatorial geometry

Research and Development, Ketron Corp., Washington, DC

Representation of H^infinity

Penn State, Ogontz, PA

The commutant of analytic Toeplitz operators

Virginia Polytechnic Institute and State Univ., Blacksburg, VA

A structure sheaf for a non-commutative Noetherian ring

Randolph-Macon Women's College, Lynchburg, VA

Permutation characters and combinatorics of the Weyl groups B(N) and D(N)

National Security Agency, Columbia, MD

Phi-like holomorphic functions

University of North Carolina at Wilmington, NC

A differential geometric approach to hyperbolic first-order systems in two independent variables

Illinois State University, Normal, IL

The homotopy problem for projective modules

University of Utah, Salt Lake City, UT

Projections and measures

Goucher College, Towson, Baltimore, MD

Whitman number upper bounds for some geometric lattices

Pembroke State University, Pembroke, NC

Topological equivalence of gradient vectorfields

University of North Carolina at Charlotte, NC

Codazzi tensors and curvature operators on a Riemannian manifold

Pfeiffer College, Misenheimer, N.C.

Some aspects of the local and global theory of Pfaffian systems

Institute for Advanced Study, Princeton, N.J.

N-dimension and N-critical modules

UNC-CH, Biostatistics Dept., Chapel Hill, N.C.

Obstructions to deforming a space curve

Northern Kentucky University

Continuity properties of factor maps in ergodic theory

IBM Research Center, Yorktown Heights, N.Y.

Weierstrass points and Gorenstein singular points on algebraic curves

Lewis & Clark College, Portland, OR

The dynamics of random maps

Stetson University, Deland, FL

A generalization of the method of Melnikov to arbitrary dimension

A&T State University, Greensboro, NC

Local differential geometry of transverse metric singularities

Rice University, Houston, TX

Separable extensions of non-commutative rings

Williams College, Williamston, MA

Omega-stable limit set explosions

Northwestern University, Evanston, IL

Duality for polynomially complete subspaces of Bergman spaces

Winthrop College, Rock Hill, SC

Representations of matroids over prime fields

Williams College, Williamstown, MA

Analytic properties of random power series

Auburn University, Auburn, AL

A Neumann problem associated with a nonlinear ordinary differential equation of second

Chulalongkorn University, Bangkok, Thailand

A computer assisted study of meta-stable primitivity in finite H-towers

Millersville University, Millersville, PA

Variations on the ergodic Hilbert transform

Memphis State University, Memphis, TN

The deformation theory of ordinary semigroup rings

The Citadel, Charleston, SC

Invertible ideals of a polynomial ring

Colgate University, Hamilton, NY

Topological entropy and classification of countable chains

Biostatistics Dept., UNC, Chapel Hill, NC

Noncommutative rings--localization and normalizing extensions

University of Sao Paulo, Brazil

Entropy and dimension for conformal real and complex dynamical systems

UNC, Charlotte, NC

Coding for a T-user binary adder channel

Centre College, Danville, KY

Invariant subspaces for the shift operator on some Hilbert spaces of analytic functions

Washington and Lee Univ., Lexington, VA

Valid numberings of the vertices of the d-cube

University of Richmond, Richmond, VA

Compact composition operators on the Nevanlinna and Smirnov classes

Annajan National University, Noblus, West Bank, via Israel

Regularity of the complex Monge-Ampere equation for radially symmetric functions of the unit ball

Institute for Defense Analyses, Comm. Research Div., Princeton, NJ

On the generic existence of homoclinic points

Univ. de Minas Gerais, Minas Gerais, Brazil

The theory of G-structures with applications to second order equation fields and symplectic and contact geometry in the large

University of Waterloo, Canada

Factor maps which commute with a power of the shift

Memphis State University, Memphis, TN

Local equivalence of four-state systems with two controls under feedback

IBM, RTP & Consulting

Lie groups which are closed at infinity

University of Richmond, Richmond, VA

Local feedback equivalence of control systems with 3 state and 2 control variables

Univ. of Hawaii

Local range properties and univalence in the Cauchy-Stieltjes space

University of Tennessee, Chattanooga, TN

Equivalence of particle Lagrangians under contract transformations

UNC-Asheville

Results on the local feedback equivalence of scalar control systems

School of Math & Science, Minneapolis, Minnesota

A stochastic roundoff error analysis for the FFT (fast Fourier transform)

Stevens Institute of Technology, Assistant Professor

Cohomology classes of a local bicomplex associated to anomalies in gauge field theories

East Carolina Univ., MBA (MIT), Fidelity Investment (Boston)

Deformation of cones over curves of high degree

Samford University Math Dept.Birmingham, AL

Top exterior powers over commutative rings

Hampton Institute, Hampton VA

Branched surfaces and the stability of compact leaves in foliations of orientable 3-manifolds

College of Charleston, Charleston, SC

On the algorithmic complexity of the trajectories of points in dynamical systems

Georgetown College, Georgetown. KY

The Gaussian map Phi_K for curves with special linear series

Math Dept, St Johns University, Jamaica, NY

Closed geodesics in 2-step nilmanifolds

Univ. of Northern Iowa, Cedar Falls, VA

Asymptotic measures for skew products of Bernoulli shifts with Morse-Smale diffeomorphisms

Assistant Prof., Davidson College, NC

Propagation and spreading of singularities for semilinear hyperbolic mixed problems with general boundary conditions

Elon College, Burlington, N.C.

A topological construction of Vassiliev style invariants of links teacher, Marymount School, NYC

-PxP for surface Z^n = f(x,y), and inequalities involving -PxP

Univ. of Mississippi, Mississippi

Generalized Korteweg-de Vries equation with Riemann initial data

Kent State University, Ohio

Hyperplane arrangements and oriented matroids

University of Montana, Missoula, MT

Numerical algorithms for liquid crystal droplet problems

Texas Tech University, Lubbock, TX

Numerical conformal mapping of long, slender regions

IAT, Research Triangle Park, NC

Computations of nonequilibrium hypersonic inviscid flow around bodies

Kyungpook National Univ., Korea

The rate of entropy convergence

Asst. Prof., John Brown University, Arkansas

Transmission of multidimensional semilinear oscillations across an interface

Lecturer at UNC, Mathematics Department

A unique, universal graph polynomial and its Hopf algebraic properties, with applications to the Martin polynomial

St. Michael's College, Winooski, VT

Gauge symmetry in the Ramond-Ramond sector of superstring theory

Ph.D. Program, Harvard University, Biostatistics Dept.

Growth rates of digits and denominators for a class of f-expansions

One Room Systems

A symplectic Jeu de Taquin bijection between the tableaux of King and of De Concini post doc, U of Arizona

Henon-like maps before or at the first tangency

Lecturer, Northwestern University, Evanston, IL 60208

Applications of noninvertible ergodic theory to rational maps of the sphere

Tenure Track, Western Carolina U

A homotopy equivalence between spaces of algebraic and holomorphic maps from an affine curve to a flag manifold

SPR 97 UNC-CH, 97-98 Wake Forest

BRST cohomology and homotopy Lie-Rinehart pairs

Occidental College

Parameter estimation in an abstract parabolic equation and its application to the Stefan problem: An augmented Lagrangian approach

One Room Systems

Some results on integral Weyl invariants and Leray-Serre spectral sequence for compact Lie groups

Wake Forest Univ. - 3yr appt.

Explicit constructions of representations of semisimple Lie algebras

Murray State University in Kentucky

Detecting hierarchy in tiling dynamical systems via derived Voronoi tesellations

Rensselaer Polytechnic Institute - l997-98

Combinatorial models for families of characters of Lie groups

Cont. Graduate Studies in Computer Science

Ergodic and Bernoulli properties of analytic maps of complex projective space

Dickinson College

Representations and nonpositively curved solvmanifolds

SAP (software company), Heidelberg, Germany

Relative critical sets in R^n and applications to image analysis

Truman State U. in Missouri

On the quantized Knizhnik-Zamolodchikov equation

Math Sciences Research Institute in Berkeley, CA

Analytic and geometric properties of plane harmonic functions

Air Force Academy, Colorado

Ergodic properties of a class of Erdos measures

Rhodes College, Memphis, TN

Some results on secant varieties leading to a geometric flip construction

Oklahoma State University

Height-unmixed ideals in a non-Noetherian ring: A step toward non-Noetherian Cohen-Macaulayness

Math. Dept., Western Illinois University, 468 Morgan Hall, Macomb, IL 61455

Beta-shift dynamical systems and their associated languages

Generic transitions of relative critical sets in parametrized families with applications to image analysis

Loras College, Dubuque, Iowa

Measures that maximize weighted entropy for factor maps between subshifts of finite type

Postdoctorate, Dept. of Math. & Stat., University of Victoria, B.C., Canada

Closed Geodesics in Compact Nilmanifolds Arising From Group Representations

Instructor, Oklahoma State University

Analysis of the Navier Stokes and other Nonlinear Evolution Equations with Initial Data in Besov-Type Spaces

Gibbs Instructor at Yale University

Advective diffusion in the presence of idealized turbulence

CAN Corporation, Research Analyst

Hardy Spaces and Potential Theory on C^1 Domains in Riemannian Manifolds

Cornell Univ. H. C. Wang Asst Professor

Hypergeometric Solutions of Dynamical Difference and Differential Equations Compatible with Knizhnik-Zamolodchikov Differential Equations

Rutgers University, Instructor

The geometry of sub-Riemannian Engel manifolds

West Point

Some properties of Wiener Wintner dynamical systems

Equivariant Schubert Calculus

Rutgers University, 3 Yr Fixed Term Asst Prof.

Hypersurfaces and generalized deformations

SUNY at Stony Brook, Postdoc

A Wiener Wintner double recurrence theorem

Asst. Professor, Elon College

Markov partitions, Hausdorff dimension and root finding algorithms

Postdoc, Univ. of Connecticut

Algebraic and spectral properties of generalized Cesaro operators

Visiting Asst Prof, Univ. of South Carolina

KZ type equations, elliptic hypergeometric functions, and elliptic Selberg integrals

Postdoc, Univ. of Rome, Italy

Density of closed geodesics in a compact nilmanifold with Chevalley rational structure

Asst. Prof, West Point Military Academy

Gibbs phenomenon for the defocusing nonlinear Schrodinger equation

Res. Assoc., Univ. of Michigan

Rapid evaluation of radiation boundary kernels for time-domain wave propagation on black holes

Ctr. For Gravitational Wave Astron., Univ. of Texas, Brownsville

Picard group of moduli spaces of semistable principal G-bundles over algebraic curves

Postdoc, ICTP, Trieste, Italy

Factorizations in some special block monoids

Moved to California

Dynamical Properties of Some Non-Stationary, Non-Simple Bratteli-Vershik Systems

VIGRE Postdoc, Ohio State University

A Topological Classification of D-Dimension Cellular Automata

Res. Postdoc, Santa Fe Institute

Krylov Deferred Correction Methods for Differential Equations with Algebraic Constraints

Oak Ridge National Lab, Postdoc

On the Effective Properties of Nematic Polymer Nano-Composites

Kent State University, Postdoc

Dynamic moduli and linear viscoelasticity of nematic polymers, Current position

Postdoc, University of South Carolina, Columbia

Rational Maps Lacking Certain Periodic Orbits

College of William and Mary, Visiting Assistant Prof.

Cohomology of flag varieties and the BK-filtration

Postdoc, Tufts University

Mathematical descriptions of nematic polymers in the monolayer limit

Postdoc, UNC Chapel Hill

Lagrangian Data Assimilation into Layered Ocean Model

Scientific Researcher, National Center for Environmental Prediction

Universal Abelian Covers for Surface Singularities {z^n=f(x,y)}

Millersville University, Assistant Professor

Viscoelasticity at Microscopic and Macroscopic Scales: Characterization and Prediction

Postdoc, UNC Chapel Hill

Passive Scalar Intermittency in Random Flows

University of Michigan, Visiting Assistant Professor

Mathematical Descriptions of Nematic Polymers in the Monolayer Limit

University of North Carolina, Visiting Lecturer

Cohomology of Flag Varieties and the BK-Filtration

Tufts University, Visiting Assistant Professor

Dimensions of compact invariant sets of some expanding maps

University of East Anglia, Research Postdoc

Recursive Structures in the Cohomolog of Flag Varieties

University of Oregon, Visiting Instructor

The General Quadruple Point Formula

University of Warwick, UK, Postdoc

Inclusion of a Glycogen Regulation Mathematical Model into a Contextual Metabolic Framework

Greenville College, Assistant Professor

Real Geometric Invariant Theory an Ricci Soliton Metrics on Two-step Nilmanifolds

University of Oklahoma, Visiting Assistant Professor

Regularized singularities and spectral deferred correction methods: a mathematical study of numerically modeling Stokes fluid flow

Duke University, Postdoc

Solutions to the Nonlinear Schrodinger Equation with Dirac mass initial data

Caustics and the indefinite signature Schrodinger equation, linear and nonlinear

University of California at Riverside, Instructor

Tiling Systems, Division Point Measures, and Endomorphisms

Dominican University, Assistant Professor

Dynamical Properties of Weierstrass Elliptic Functions on Square Lattices

Virginia Tech, Instructor

The Lagrangian averaged Navier-Stokes equation with rough initial data

Kansas State University, Postdoc

Stability of noncharacteristic boundary-layers for the compressible nonisentropic Navier-Stokes equations

Universitat de Barcelona, Visitor