Graduate Research Opportunities

The following faculty are looking for graduate students to advise.
Splines, Approximation, Clustering
Thesis Advisor:  Dr. Yingkang Hu

Statistical Quality Control. Analysis of Means, Statistical
Design of Experiments, Time Series, Interval Numbers
Thesis Advisor:  Dr. Charles Champ

Toeplitz Matrices, Eigenvectors, Perturbation
Thesis Advisor:  Dr. Xiezhang Li

Flexagon Pats and Faces
Thesis Advisor:  Dr. Bruce McLean

Operations Research, Optimization, Interior- point methods in optimization
Thesis Advisor:  Dr. Goran Lesaja

Statistics, Sampling Methods, Stochastic Processes
Thesis Advisor:  Dr. Patricia Humphrey

Computer Vision, Imaging (for example Tomography/Segmentation Physics), Sparcity,
Covariance, Recognition/Feature Extraction Problems (which occur in medical imaging and target and
sensor recognition), Networks (in particular self healing networks, bioinformatic networks),
Clustering, Sampling, Gene/protein interaction, Computational intelligence, Inverse Problems
Thesis Advisor:  Dr. Steven Damelin

Ordinary Differential Equations, Difference Equations, Dynamic Equations on Time Scales, Applications of Differential-Difference Equations to Biomathematics.
Thesis Advisor:  Dr. Billur Kaymakcalan

Analysis on fractals, fractal geometry, and tilings
Thesis Advisor:  Dr. Sze-Man Ngai

Stochastic Dependence, Stochastic/Mathematical Inequalities, Categorical Data
Analysis, Length Biased Sampling, Reliability
Analysis, Weightred Distributions
Thesis Advisor:  Dr. Broderick Oluyede

Control Systems (DAEs), Ill-Conditioned Signal Processing,
Generalized Arnold Kernels and Their Periodicity
Thesis Advisor:  Dr. Yan Wu


Numerical Approximation, Variational Spline Theory, CAGD
Thesis Advisor:  Dr. Scott Kersey

Topology, Foundations of Analysis, Convergence Theory
Thesis Advisor:  Dr. Frédéric Mynard

Biomedical Imaging
Thesis Advisor:  Dr. Jiehua Zhu

Nonlinear Analysis, Partial Differential Equations and Applications
Thesis Advisor:  Dr. Chunshan Zhao

q-series, combinatorics, symbolic computation, mathematics of Ramanujan
Thesis Advisor:  Dr. Andrew Sills

Harmonic Analysis and PDEs, Mathematical Modeling in Image Processing
Thesis Advisor:  Dr. Shijun Zheng

Geometry, negative curvature, group theory
Thesis Advisor:  Dr. Xiangdong Xie

Differential Geometry, symplecitc Hodge theory, Equivariant cohomology theory, the geometry of moment maps in symplectic and generalized complex geometry
Thesis Advisor:  Dr. Yi Lin

Statistical Disclosure Limitation and Data Mining
Thesis Advisor:  Dr. Anna Oganyan

Extremal and enumeration problems applied to graph structures in Chemistry, Industry and Biology; Analytical Combinatorial approaches in various Discrete Math questions
Thesis Advisor:  Dr. Hua Wang

Commutative Algebra and Homological Algebra.
Topics: resolutions, homological dimensions, cotorsion pairs, Gorenstein homological algebra.
Thesis Advisor:  Dr. Alina Iacob


"Method of Bellman Functions", "Two Dimensional Fourier Series", "Maximal Operators in Harmonic Analysis"
Thesis Advisor:  Dr. Alex Stokolos