Mathematics, Statistics and Computer Science Faculty Research

Research by the faculty and staff of the Department of Mathematics, Statistics and Computer Science.
In this Section

Dr. Saleh Alnaeli

  • Empirical Software Engineering
  • Source Code Vulnerabilities and Security
  • Software Parallelization and Multicore Programming
  • Software Evolution, Static Analysis, and Transformation
  • Mining Software Repositories
  • Internet of Things
  • Undergraduate Multidisciplinary Research

Dr. Anne Antonippillai

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

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. Katherine Benson

  • Graph Theory 
    • Labeling problems, mostly radiolabeling
    • Zero forcing
    • Power Domination

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. Alexi Brooks

  • Computer science education
  • Applied machine learning and natural language processing
  • Human learning in social media
  • Mechanism design
  • Graph algorithms

Dr. Kevin Matthe Caramancion

  • Fake News
  • Misinformation
  • Disinformation
  • Information Warfare
  • Cyber Deception
  • Technology Policy

Dr. Steven Deckelman

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

Dr. Seth Dutter

  • Algebraic geometry

Dr. Ahmed El-Magrous

  • Internet of Things
  • Wireless Sensor Network
  • Machine Learning
  • Natural Language processing
  • Mobile App Development (iOS/Android)

Dr. Xue (Shirley) Gong

  • Differential Equations and Dynamical Systems
    • Applications to Biological Systems
    • Applications to Tensor Approximations
    • Heteroclinic Networks

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. 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. Chris Mooney

  • Commutative algebra
  • Graph labeling
  • Multiplicative ideal theory
  • Non-unique factorization
  • Rings with zero-divisors
  • Undergraduate research
  • Zero and irreducible divisor graphs

Dr. Afroza Polin

  • High dimensional data
  • Multiple testing
  • Survival analysis
  • Longitudinal data analysis

Dr. Welington Santos

  • Applications of algebraic coding theory to data storage and security, especially
    • Algebraic geometric codes
    • Non-Hamming metric codes (Poset metric codes, RT-metric codes, Rank metric codes)
    • Duality theory
    • Fractional decoding (Decoding from partial information)
    • Secure distributed matrix multiplication
       

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. Tyler Skorczewski

  • Computational Fluid Dynamics
  • Fluid-structure interaction problems in biology
    • Blood clotting
    • Fish suction feeding
  • Mathematical modeling
  • Mathematical biology/physiology
  • Sports analytics

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. Michael Tetzlaff

  • Interactive, photo-realistic computer graphics
  • Image-based rendering and relighting of real-world 3D objects from photographs
  • Application of computer graphics for the creation, preservation, and restoration of art and other artifacts of cultural heritage.

Dr. Tyler Thomas

  • Information security
    • Application Security
    • Penetration Testing
    • Network Security
    • Usable Security
  • Software engineering
  • Human-computer interfaces

Dr. Scott Turner

  • Computer Science Education
    • Applying educational theory to the CS classroom and the development of education tools
  • Human-Computer Interaction

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