Graduate

Applied Mathematics (MSc)

Faculty

Currently, the Department of Mathematics consists of 15 tenured/tenure-track faculty members with active research programs. Members of the department have research specialties in diverse areas of pure and applied mathematics such as combinatorics, logic, algebra, computer security, cryptography, ergodic theory, functional analysis, differential equations, partial differential equations and applications to physical sciences, mathematical signal processing and its software implementation, mathematical finance, stochastic calculus, applied statistics, time series techniques and foundations of quantum mechanics.

Over the recent years, the Mathematics Department has collectively:

• collaborated in research with some 50 mathematicians at other institutions.
• published more than 100 research papers in high quality peer-reviewed journals.
• published 3 advanced undergraduate/beginning graduate text books.

PARTICIPATING FACULTY AND RESEARCH INTERESTS:

ANTHONY BONATO
Research interests: Graph theory, with applications to real-world networks such as the graph web.

CATHERINE BEAUCHEMIN (Department of Physics)
Research interests: Computational/mathematical modelling of self-organizing systems. Modelling dynamics of infectious diseases within a host and host/immune interactions.

MARCUS ESCOBAR-ANEL

Research interests: Multivariate Stochastic Processes. Time Series Modelling. Mathematical Finance. Biostatistics. Dependence Structures.

PETER DANZIGER

Research interests: Discrete Mathematics. Design Theory. Coding Theory. Graph Theory. Cryptography. Software Testing. Complexity Theory. Analysis of Algorithms.

DEJAN DELIC

Research interests: Universal algebra. Tame congruence theory. Model theory of combinatorial/relational structures. Theoretical computer science: algorithms, computability and computational complexity. Constraint satisfaction problems.

SEBASTIAN FERRANDO

Research interests: Applied mathematics: Financial mathematics, times series, signal processing, pattern recognition, mathematical software development. Pure mathematics: Ergodic theory, approximation of stochastic processes, real analysis.

CHRIS GRANDISON

Research interests: Approximation theory and its software implementation.

SYLVANA ILLIE

Research interests: Scientific computing; computational biology; information-based computational complexity.

DZUNG MINH HA

Research interests:  Operator theory. Ergodic theory. Functional analysis.

CHUL KIM

Research interests: Cryptography. Cryptanalysis. Information and telecommunication. Security (wireless). Network security. Coding theory. Applied abstract algebra. Computational number theory. Computer Algebra. Symbolic and algebraic computation.

LARRY KOLASA

Research interests: Harmonic analysis. Signal/image processing. Wavelets.

KUNQUAN LAN

Research interests: Differential Equations. Nonlinear Functional Analysis. Boundary value problems. Falkner-Skan equations. Mathematical biology. Fixed point index theory. Monotone iterative techniques. A-Proper Maps. Variational inequalities, Mathematical economics. Game theory.

PETER LAWRENCE

Research interests: Topological algebra. Computational algebra.

PABLO OLIVARES

Research interests: Applied stochastic modeling: asymptotical statistical inference, actuarial and financial models, branching processes.

GARNET ORD

Research interests: Stochastic processes. Statistical Mechanics. Classical Mechanics. Foundations of Quantum Mechanics.

JEAN-PAUL PASCAL

Research interests: Fluid Mechanics and Computational Fluid Mechanics: Hydrodynamic stability, Non-Newtonian flows, flow through porous media, gravity driven flows with environmental and industrial applications. Numerical methods for hyperbolic nonlinear conservation laws.

KATRIN ROHLF

Research interests: fluid dynamics, ‘excitable’ reaction-diffusion systems, fluid particle interactions and non-Newtonian fluid flow, flow of chemically reacting media for open flow reactors, or industrial fluid flows.

BOZA TASIC

Research interests: Operator theory. Universal algebra.

BOZENA TODOROW

Research interests: Applied statistics.