##
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 9:30-11:00

#### Education

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

#### Teaching

**Spring, 2014**

- MAT 390-01 LEC (Ordinary Differential Equations), TR 11:00-12:15, Petty Building 223
- MAT 701-02 SEM (Graduate Seminar in Computational Mathematics)

#### Research Interests

Applied Math, Mathematical Biology** Current Students: **Quinn Morris, Byungjae Son

#### Selected Recent Publications

- Semipositone problems with falling zeros on exterior domains, Lakshmi Sankar, Sarath Sasi and R. Shivaji, Journal of Mathematical Analysis and Applications, Vol. 401 (2013), No.1, pp. 146-153.
- An ecological model with a Σ-- shaped bifurcation curve, Eun Kyoung Lee, Sarath Sasi and R.Shivaji, Nonlinear Analysis: Real World Applications, Vol. 13 (2012), No. 2, pp. 634-642.
- Uniqueness of nonnegative solutions for semipositone problems on exterior domains, Alfonso Castro, Lakshmi Sankar and R. Shivaji, Journal of Mathematical Analysis and Applications, Vol. 394 (2012), No. 1, pp. 432-437.
- Infinite semipositone problems with asymptotically linear growth forcing terms, D. D. Hai, Lakshmi Sankar and R. Shivaji, Differential Integral Equations, Vol. 25 (2012), No. 11-12, pp. 1175-1188.
- A uniqueness result for a singular nonlinear eigenvalue problem, Alfonso Castro, Eunkyung Ko and R. Shivaji, accepted for publication, Proc. Royal Soc. Edin.

#### 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. To date, Shivaji has authored or coauthored one hundred and seventeen research papers, and served as thesis advisor for ten Ph.D. graduates.