Faculty

Research Interests: Homotopy Theory

Research Interests: Financial Mathematics; Deep Learning; Machine Learning; PDEs; Stochastic Processes; Decentralized Finance.

Research Interests: Applied mathematics, nonlinear waves, solitons, integrable systems, inverse problems, applied probability, stochastic processes, optics.

Research Interests: Applied Mathematics, Mathematical Physics, Nonlinear Waves, Parity-Time Symmetry, Scientific Computing, Sum-of-squares Optimization

Research Interests: Representation theory with a quantum group flavour

Research: Functional analysis, invariant means

Research Interests: Cryptography, number theory, Diophantine approximation

Research Interests: Applied mathematics; nonlinear waves; scientific computing; free surface waves

Research Interests: Differential geometry, complex variables

Research Interests: Inverse problems, mathematical modeling of inhomogeneous materials, computational methods, uncertainty quantification.

Research Interests: Applied mathematics, numerical analysis, PDEs, fluid dynamics

Research Interests: Algebra, Representation Theory, Mathematics Education

Research Interests: Automorphic forms and L-functions

Research Interests: Low-dimensional topology, contact and symplectic geometry, gauge theory.

Research Interests: Operator algebras, noncommutative geometry, and dynamical systems.

Research Interests: Number theory, automorphic forms and L-functions

Research Interests: Geometric Representation Theory

Research Interests: Geometric topology, geometric group theory.

Research Interests: Mathematics Education

Research Interests: Network science; mathematical biology.

Research Interests: Low-dimensional topology, hyperbolic geometry and 3-manifolds, knot theory, contact geometry, curve complex and mapping class group.

Research Interests: Network Neuroscience and Complex Systems.

Research Interests: Nonlinear waves; integrable systems.

Research Interests: Graph Theory

Research Interests: Nonlinear waves; integrable systems; solitons; mathematical modeling in social and behavioral science.

Research Interests: Algebraic Geometry; Arithmetic Geometry; Representation Theory.

Research Interests: Differential and complex geometry

Research Interests: (forthcoming)

Research Interests: Applied mathematics, bifurcation theory, mathematical modeling, computational mathematics.

Research Interests: Representation theory; representation theory of symmetric groups; mathematics education.

Research Interests: The geometric Langlands program; Geometric and combinatorial methods in representation theory; Hopf algebras and quantum groups; Composite materials and the G-closure problem.

Research Interests: Professor Sikora's main research areas are: Interactions between topology, algebra and number theory. Moduli spaces of representations, and their quantization.

Research Interests: Continuum mechanics and materials modeling; bifurcation and stability; perturbation methods; scientific computing; variational calculus.

Research Interests: Algebraic geometry; commutative algebra; homological algebra; algebraic K-theory.

Research Interests: Intuitionistic Logic

Research Interests: Analytic number theory; automorphic forms; and L-functions.

Research Interests: STEM, Education Studies

Research Interests: Analysis

Research Interests: Topology and geometry of 3-dimensional manifolds, including knot theory.

Research Interests: Arithmetic Geometry and Number Theory