Distinguished University Research Professor of Mathematics and Physics
Institute for Physical Science and Technology
University of Maryland,
Dissertation: A nonlinear multistep method for solving stiff initial value problems
Professor
Department of Mathematics
North Carolina State University
Dissertation: Homotopy continuation method for nonlinear equations
Dissertation: A model for the correction of the geometric distortion of multispectral scanner data
Dissertation: The homotopy method for the symmetric eigenvalue problems
Professor
Department of Mathematics and Statistics
University of Missouri-Kansas City
Dissertation: On the Galerkin method with vector basis functions
Research Professor
Dept. of Computer Science
Illinois Institute of Technology
Dissertation: Finite approximations of the Frobenius-Perron operator
Professor
Department of Mathematics
The University of Southern Mississippi
Dissertation: Homotopy methods for solving decient polynomial systems
Professor
Department of Mathematics and Statistics
University of Arkansas at Little Rock
Dissertation: Homotopy methods and algorithms for real symmetric eigenproblems
Distinguished University Professor
Department of Mathematics and Statistics
University of West Florida
Dissertation: Homotopy-determinant method for matrix eigenvalue problems and its parallelization
Bernard J. Brommel Distinguished Research Professor
Department of Mathematics
Northeastern Illinois University
Dissertation: Parallel homotopy algorithm for large sparse symmetric eigenproblems
Dissertation: Quasi-Laguerre iteration and its application in solving symmetric tridiagonal eigenvalue problems
Dissertation: Quasi-Laguerre's method and its parallel implementation in solving symmetric tridiagonal eigenvalue problems
Dissertation: A scalable algorithm for non-symmetric eigenvalue problems
Dissertation: Hausdor dimension of invariant sets for expanding and hyperbolic systems
Dissertation: Convergence of several iterative methods
Dissertation: Polyhedral homotopy and its applications to polynomial system solving
Dissertation: Finding all isolated roots of polynomial systems in Cn via stable mixed volume
Professor, Department Chair
Department of Mathematics and Statistics
California State University Long Beach
Dissertation: Determining the Jordan normal form of a matrix
Dissertation: Solving polynomial systems in C^n by polyhedral homotopies
Dissertation: Balancing lifting values to improve numerical stability of polyhedral homotopy methods
Associate Professor
Department of Mathematics
Tamkang University
Dissertation: A rank-revealing method for low rank matrices with updating, downdating, and applications
Associate Professor
Department of Applied Mathematics
National Sun Yat-sen University
Dissertation: Algorithms for solving polynomial systems by homotopy continuation method, and its parallelization
Dissertation: Total degree and mixed volume
Lecturer
Department of Mathematics
Purdue University
Dissertation: Projective path tracking for homotopy continuation method
Assistant Professor
Department of Mathematics and Computer Science
Dissertation: Computing tensor eigenpairs using homotopy methods
Instructor - Assistant Professor
Department of Mathematics
Bellevue College
Dissertation: A linear homotopy method for computing generalized tensor eigenpairs
Principal Software Engineer at Microsoft