Asela Abeya
Education:
- PhD in Mathematics, Department of Mathematics, State University of New York (SUNY) at Buffalo, USA (2022)
- MSc in Mathematics, Department of Mathematics, SUNY at Buffalo, USA (2017)
Research Interests:
- Applied Mathematics
- Nonlinear waves
- Integrable systems
- Partial differential equations
- Concrete physical applications
Honors and Awards:
- Doctoral Dissertation Fellowship: the award recognizes outstanding research in the Department of Mathematics, SUNY at Buffalo, Spring 2022
- Teaching Assistant Scholarship, Mathematics Department, SUNY at Buffalo, Fall 2015 - Spring 2019
- Research Assistant Scholarship, Mathematics Department, SUNY at Buffalo, Spring 2019
Professional Teaching Background:
- Lecturer in Applied Mathematics, SUNY Polytechnic Institute (2022 - Present)
- Instructor of Mathematics, SUNY at Buffalo (2019 - 2022)
- Teaching Assistant, Department of Mathematics, SUNY at Buffalo (2017 - 2019)
Selected Publications
Books Collaborated:
- Textbook: Introduction to Differential Equations, UB Custom Edition, J. Lebl, B. Hassard, J. Javor, J. Ringland, A. Abeya and J. Faran, 2019 Fall
Peer reviewed selected publications:
- Whitham Modulation Theory for the Defocusing Nonlinear Schrodinger Equation in Two, Three and Higher Dimensions, A. Abeya, G. Biondini and M. Hoefer (submitted)
- Inverse Scattering Transform for the Defocusing Manakov System with Non-parallel Boundary Conditions at Infinity, A. Abeya, G. Biondini and B. Prinari, East Asian J. Appl. Math. (2022)
- Manakov System with Parity Symmetry on Nonzero Background and Associated Boundary Value Problems, A. Abeya, B. Prinari and G. Biondini, J. Phys. A (2022)
- Solitons and Soliton Interactions in Repulsive Spinor Bose-Einstein condensates with Non-zero Background, A. Abeya, B. Prinari, G. Biondini and P.G. Kevrekidis, Eur. Phys. J. Plus (2021)
Professional Activities:
- Reviewer for: Communications in Nonlinear Science and Numerical Simulation, Chaos, Solitons and Fractals
- Founding member and Treasurer of SIAM UB student chapter, 2021