Faculty Research

Pure Mathematics

AlgebraOur Algebra Group focuses on the computational, combinatorial, and homological aspects of commutative algebra, alongside representation theory, vertex operator algebras, and infinite-dimensional Lie algebras, advancing modern algebraic research. 
 

Algebra Group:

  • Darlayne Addabbo
    • Representation theory, vertex operator algebras, infinite-dimensional Lie algebras
  • Matthew Mastroeni 
    • Computational, combinatorial, and homological aspects of commutative algebra. 

Computational Mathematical Physics

applied mathOur faculty specializes in diverse areas of computational mathematical physics including modern numerical methods for partial differential equations, differential geometry, topology, and quantum theory, advancing the field and tackling real-world challenges.

Computational Mathematical Physics Group:

  • Andrea Dziubek
    • Numerical Methods, Theoretical Mechanics and Differential Geometry
  • Wenfeng Chen
    • Differential geometry and geometric analysis, Quantum theory and application 
  • Edmond Rusjan
    • Abstract mathematical ideas and practical scientific and engineering problems

Applied Mathematics

Our faculty specializes in diverse areas of applied mathematics, including nonlinear waves, integrable systems, statistical modeling, image processing, and tackling real-world scientific and engineering challenges.

Applied Mathematics Group:

  • Asela Abeya 
    • Nonlinear waves, Concrete physical applications, Integrable systems
  • Wenfeng Chen
    • Differential geometry and geometric analysis, Quantum theory and application 
  • Edmond Rusjan
    • Abstract mathematical ideas and practical scientific and engineering problems
  • William Thistleton
    • Probability and Statistical Modeling, Image Processing, Numerical PDEs

Undergraduate research 

ugrad1.  ugrad2
 

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