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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 |
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Probability and Statistics |
- Percolation Theory
- Large Deviations
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Harmonic Analysis |
- Computer Vision
- Optimization |
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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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Number Theory |
- Ramanujan's theory
- Special functions
- Continued fractions
- Modular equations
- q-series
- Partition functions |
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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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