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Name |
General Area of Expertise |
More Specific Research Topics |
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Algebra |
- Associative rings and modules
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Leavitt algebras and connections to C*-algebras
- Morita equivalences between module categories |
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Analysis & Differential Equations |
- Analysis on Graphs
- Spectral theory for quantum graphs |
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Applied Analysis & Computational Mathematics |
- Spectral theory of integrable systems
- Nonlinear PDEs and fluid mechanics
- Applications in optical communications, physiology & medicine |
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Differential Equations & Applied Math |
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Harmonic Analysis |
-Applications to statistics and signal/image processing |
| Zak Mesyan |
Algebra |
- Rings
- Groups
- Semigroups
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Probability and Statistics |
- Percolation Theory
- Large Deviations
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Algebra and Logic |
-Ring Theory
-Abelian Group Theory
-Set Theory
-Semigroup Theory
-Problem Posing |
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Harmonic Analysis |
- Computer Vision
- Optimization |
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Non-linear waves and Coherent Structures |
-inverse scattering transform for continuous and discrete integrable systems
- solvability for the nonlinear Schrödinger equation
-solving the initial value problem for nonlinear 2+1 dimensional PDEs with potentials that do not decay at spatial infinity
-multicomponent nonlinear Schrödinger systems with nonvanishing boundary conditions |
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Algebra |
-Abelian Groups
-Associative Rings and modules |
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Probability and Statistics |
- Probability models in population biology and epidemiology
- Interacting particle systems |
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Probability and Statistics |
-Mathematical Physics and Biological Models Including Percolation Theory, First Passage Percolation, Infinite Particle Systems and Random Graphs
-General Probability Theory Including the Central Limit Theorem by Martingale Approaches
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