Faculty/Staff Research

Dr. Anne Antonippillai

  • Algebraic theory of semigroups and its related fields.
  • Mathematical, deductive reasoning, and logic in teaching mathematics.

Dr. Wan Bae

  • Multi-dimensional and scientific databases.
  • Geographic information systems (GIS).
  • Query processing in spatial and spatio-temporal databases.
  • Spatial and spatio-temporal data modeling.
  • Statistical data analysis.
  • Online query processing.
  • Uncertainty model for moving objects.
  • Computational geometry.
  • Data warehousing.  

Dr. Gregory Bard

  • Cryptography

Dr. Alexander Basyrov

  • Several complex variables: Segre varieties, complex analytic sets, proper holomorphic mappings, boundary regularity and analytic continuation of holomorphic mappings

Dr. Christopher Bendel

  • Abstract algebra, specifically
    • Modular representation theory and cohomology of algebraic groups, Lie algebras, finite groups, and related structures.
  • Using computers in mathematical research.
  • Involving undergraduate students in research, particularly through the use of computation.
  • The Scholarship of Teaching and Learning as it applies to improving student learning in mathematics courses.

Dr. Seth Berrier

  • Applied Graphics and Visualization for Art and Design
    • Material appearance capture via photogrammetry and light field capture
    • Computational Photography
    • Image based lighting and environment capture
    • Shape & material synthesis from existing examples
  • Real-time rendering and high level shading languages
  • Procedural content generation
  • Music analysis for visualization

Dr. Diane Christie

  • The Scholarship of Teaching and Learning
  • Active learning and interactive environments
  • Computer Science Education and Signature Pedagogy
  • Serious Games
  • Mobile computing

Dr. Matthew Corne

  • Gravitational Theory
    • Classical, Quantum, and Alternative Formulations
    • Mathematical Aspects
  • Mathematical Physics
  • Interdisciplinary Applications of Geometry and Topology
    • Topological characterization of geometric flows
    • Problems in classical and quantum information science

Dr. Steven Deckelman

  • Complex analysis in one and several variables.
  • Mathematical biology including Bioinformatics and computational neuroscience.
  • Undergraduate research.

Dr. Brent Dingle

  • Graphics and Visualization
  • Simulation and Modeling
  • Serious Gaming: Interfaces, Immersion, and Effects
  • Mobile Computing
  • Scientific Computing: Computer Algebra, Numerical Methods, Data Models
  • Innovating and Expanding Undergraduate Research

Dr. Seth Dutter

  • Algebraic geometry

Dr. Eugen (Andrei) Ghenciu

  • Symbolic dynamics
  • Dynamical systems and ergodic theory
  • Fractal geometry
  • Iterated function systems and dimension spectrum theory
  • Analytic theory of continued fractions
  • Risk analysis for Unmanned Aircraft Systems
Dr. Petre (Nelu) Ghenciu
  • Graph theory and combinatorics with an emphasis in Hamiltonian and pancyclic graphs.
  • The Scholarship of Teaching and Learning.

Dr. Ayub Hossain

  • Statistics, especially in the area of multivariate statistical analysis and applied probability.

Dr. Amitava Karmaker

  • Discovering functional elements in the genome to construct a regulatory network.
  • Analyzing chromosomal abnormality to detect DNA copy number aberrations.
  • Data mining and preprocessing of biological data.
  • Heterogeneous data integration.
  • Developing machine learning based algorithms for data modeling.
  • Statistical analysis and pattern recognition from gathered data.

Dr. Pengpeng (Mark) Lin

  • Multi-Level Precondition Techniques.
  • Metaheuristic Algorithms.
  • Operations Research.
  • Automatically Configuring Algorithms.
  • Parallel Computing
  • .Privacy Preserving Data Mining.

Dr. Terrence Mason  

  • Application development for portable devices including Android and iOS.
  • Improving the usability of databases through query language development.
  • Improving the teaching of computer science through established pedagogy.

Dr. Laura Schmidt

  • The Scholarship of Teaching and Learning:
    • Interests include dealing with mathematics anxiety, students' motivation, students' self-efficacy, and improving the teaching and learning of mathematics.
  • Discrete mathematics, specifically polytopes:
    • Interests involve simplicial polyhedral balls (duals to simple unbounded polyhedral) and shellings.

Dr. Abraham Smith

  • Differential geometry:
    • Geometric methods for solving differential equations (exterior differential systems)
    • Local and global geometric structures
    • Symmetries and invariants
  • Computation in mathematics:
    • Manifold learning and pattern recognition
    • Geometric and topological analysis of "big data"
    • Translating abstract theorems to practical algorithms

Dr. Loretta Thielman

  • The Scholarship of Teaching and Learning in Statistics and Mathematics.

Mr. Peter Thielman

  • Statistics

Dr. Keith Wojciechowski

  • Numerical methods for solving time-dependent partial differential and partial integrodifferential equations
  • Analysis of nonlinear partial differential equations
  • Mathematical modeling of porous media
  • Constitutive modeling of swelling porous and viscoelastic materials
  • Pseudospectral methods
  • Numerical analysis

Dr. Mingshen Wu

  • Graph theory.
  • Web programming.
  • Numerical analysis -- numerical solution for differential equations.