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
• AI Pedagogy
• 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)

• On Maxwell-Bloch systems with inhomogeneous broadening and one-sided nonzero background}, A. Abeya, B. Prinari, G. Biondini and G. Kovacic, Commun. Math. Phys. (2024)

• Whitham Modulation Theory for the Defocusing Nonlinear Schrodinger Equation in Two, Three and Higher Dimensions, A. Abeya, G. Biondini and M. Hoefer, J. Phys. A (2023)

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