##
Ratnasingham Shivaji

H. Barton Excellence Professor

Department Head

**Office:** Petty 118 **Phone:** 334-5836 **Email address: **r_shivaj@uncg.edu**Personal web page:** www.uncg.edu/~r_shivaj/ **Starting year at UNCG: **2011**Office hours:** TR 1:00 p.m. - 2:30 p.m. and by appointment

#### Education

Ph.D. in Mathematics, Heriot-Watt University (1981)

#### Teaching

**Fall, 2017**

- MAT 390-01 LEC (Ordinary Differential Equations), TR 11:00-12:15, Petty Building 224
- MAT 709-01 IND (Topics in Computational Mathematics), TR 3:30-4:45, Petty Building 224

**Spring, 2018**

- MAT 593-01 IND (Directed Study in Mathematics)
- MAT 709-01 IND (Topics in Computational Mathematics), W 3:30-4:45, Petty Building 303
- MAT 736-01 LEC (Partial Differential Equations), TR 3:30-4:45, Petty Building 313
- MAT 799-01 DTS (Dissertation)
- MAT 799-02 DTS (Dissertation)

#### Research Interests

Applied Math, Mathematical Biology** Current Students: **Amila Muthunayake, Nalin Fonseka, Mohan Mallick (IIT-India)** Descendants: **Byungjae Son, Quinn Morris

#### Selected Recent Publications

- On radial solutions for singular combined superlinear elliptic systems on annular domains, D. D. Hai and R. Shivaji, J. Math. Anal. Appl., Vol. 446, 2017, No. 1, pp. 103-114.
- Stability analysis for positive solutions for classes of semilinear elliptic boundary value problems with nonlinear boundary conditions, Jerome Goddard and R. Shivaji, accepted for publication, Proc. Royal Soc. Edin.
- A uniqueness result for a semipositone p-Laplacian problem on the exterior of a ball, R. Shivaji, Imbo Sim, and Byungjae Son, accepted for publication, J. Math.Anal. Appl.
- Multiple positive solutions for a class of variational systems, Alfonso Castro, David Costa, and R. Shivaji, accepted for publication, Topological Methods in Nonlinear Analysis.
- Positive radial solutions for a class of singular superlinear problems on the exterior of a ball with nonlinear boundary conditions, D. D. Hai and R. Shivaji, accepted for publication, J. Math. Anal. Appl.

#### Brief Bio

Ratnasingham Shivaji joined the University of North Carolina at Greensboro (UNCG) as H. Barton Excellence Professor and Head of the Department of Mathematics and Statistics in July 2011. Prior to joining UNCG, he served for twenty-six years at Mississippi State University (MSU), where he was honored as a W.L. Giles Distinguished Professor. He received his Ph.D in Mathematics from Heriot-Watt University in Edinburgh, Scotland in 1981 and his B.S (first class honors) from the University of Sri Lanka in 1977. Shivaji's area of specialization is partial differential equations, and in particular, nonlinear elliptic boundary value problems. His research work has applications in combustion theory, chemical reactor theory, and population dynamics, and has been funded by the National Science Foundation and the Simon's Foundation. Currently, he is serving as the PI on an NSF Math Ecology grant. He has authored one hundred forty research papers. He is a member of the Editorial Board of several mathematics journals.To date, he has directed one postdoctoral student, sixteen Ph.D. students (13 graduates, 3 current), fourteen M.S. graduates and twenty-one undergraduate research students (19 graduates, 2 current).