Melissa Glass is a Ph.D. student at the University of North Carolina Greensboro (UNCG). Goddard co-directs the dissertation research with Prof. R. Shivaji and serves on the Ph.D. committee. Mentorship: 2024 – present.
Dissertation: TBD
Current position (CV): Fifth-year Ph.D. student at UNCG.
Related NSF awards during the mentorship period: DMS-2246725.
Title to be determined.
Xiaohuan “Max” Xue completed a Ph.D. at the University of North Carolina Greensboro (UNCG). Goddard co-directed the dissertation research with Prof. R. Shivaji and served on the Ph.D. committee. Mentorship: 2024 – 2025.
Dissertation: Computational Analysis for Classes of Nonlinear Elliptic Equations and Applications
Current position (CV): Assistant Professor of Mathematics (tenure-track), Jacksonville State University.
Related NSF awards during the mentorship period: DMS-2150946, DMS-2246725.
Summer 2025
Alketa “Keta” Henderson completed a Ph.D. at the University of North Carolina Greensboro (UNCG). Goddard co-directed the dissertation research with Prof. R. Shivaji and served on the Ph.D. committee. Mentorship: 2020 – 2024.
Dissertation: Multiplicity results for classes of steady state reaction diffusion equations with nonlinear boundary conditions
Current position (CV): Visiting Assistant Professor of Mathematics, Elon University.
Related NSF awards during the mentorship period: DMS-1853372, DMS-2150946, DMS-2246725.
Summer 2024
Dustin Nichols completed a Ph.D. at the University of North Carolina Greensboro (UNCG). Goddard co-directed the dissertation research with Prof. R. Shivaji and served on the Ph.D. committee. Mentorship: 2020 – 2024.
Dissertation: Existence and Uniqueness of Positive Solutions for Steady State Reaction Diffusion Equations
Current position (CV): Assistant Professor of Mathematics (tenure-track), High Point University.
Related NSF awards during the mentorship period: DMS-1853372, DMS-2150946, DMS-2246725.
Summer 2024
Ananta Acharya completed a Ph.D. at the University of North Carolina Greensboro (UNCG). Goddard co-directed the dissertation research with Prof. R. Shivaji and served on the Ph.D. committee. Mentorship: 2018 – 2023.
Dissertation: Analysis of Steady States to Classes of Reaction Diffusion Equations and Systems
Current position (CV): Postdoc at Utah State University.
Related NSF awards during the mentorship period: DMS-1516560, DMS-1853372, DMS-2150946.
Summer 2023
Amila Muthunayake is a fifth year Ph.D. student at University of North Carolina Greensboro (UNCG) under the direction of Prof. R. Shivaji. He is expected to defend his Ph.D. dissertation in the Summer of 2021. A major portion of his PhD research has been co-directed by Goddard and is related to the project: Experimental & Mathematical Study of Density Dependent Dispersal.
Amila has been funded via NSF Grant DMS-1853359 and the UNCG Department of Mathematics & Statistics.
Nalin Fonseka graduated in August 2020 with a Ph.D. in Computational Mathematics from the University of North Carolina Greensboro (UNCG) under the direction of Prof. R. Shivaji. He is now an assistant professor of mathematics (tenure-track) at Carolina University. A major portion of his PhD research has been co-directed by Goddard and is related to the project: Experimental & Mathematical Study of Density Dependent Dispersal.
Nalin was funded via NSF Grant DMS-1853359 and the UNCG Department of Mathematics & Statistics.
Quinn Morris completed a Ph.D. at the University of North Carolina Greensboro (UNCG). Goddard served as a member of the Ph.D. committee. Mentorship: 2013 – 2017.
Dissertation: Analysis of classes of superlinear semipositone problems with nonlinear boundary conditions
Current position (CV): Assistant Professor of Mathematics (tenure-track), Appalachian State University.
Ph.D. committee service.
Summer 2017
Byungjae Son completed a Ph.D. at the University of North Carolina Greensboro (UNCG). Goddard served as a member of the Ph.D. committee. Mentorship: 2013 – 2017.
Dissertation: Analysis of classes of singular steady state reaction diffusion equations
Current position (CV): Postdoc at University of Maine.
Ph.D. committee service.
Summer 2017
Zane is a senior computer science major at Auburn University Montgomery (AUM).
Zane has been funded via NSF Grant DMS-1853372 and the AUM Department of Mathematics .
Sydney is a senior mathematics major at Auburn University Montgomery (AUM).
Sydney has been funded via NSF Grant DMS-1853372 and the AUM Department of Mathematics .
