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Name
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General Area of Expertise
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More Specific Research Topics
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Algebra
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- Associative rings and modules
- Leavitt algebras and connections to C*-algebras
- Morita equivalences between module categories
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Analysis & Differential Equations
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- Analysis on Graphs
- Spectral theory for quantum graphs
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Applied Analysis & Computational Mathematics
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- 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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| Zak Mesyan |
Algebra |
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Probability and Statistics
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- Percolation Theory
- Large Deviations
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Algebra and Logic
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- Ring Theory
- Abelian Group Theory
- Set Theory
- Semigroup Theory
- Problem Posing
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Non-linear waves and Coherent Structures
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- 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
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- Probability models in population biology and epidemiology
- Interacting particle systems
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Probability and Statistics
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- 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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