Neranga Fernando

Visiting Assistant Professor

Areas of Expertise

Algebra and Number Theory Quandle Theory Commutative Algebra

Education

Ph.D. University of South Florida

Biography

I was born in Negombo in Sri Lanka and raised in Ekala, which is a small town in the west coast of Sri Lanka. I completed my elementary education at Newstead Girls College in Negombo and then went to Maris Stella College in Negombo to complete my middle school education and high school education. Having earned my B.Sc. (special) degree in Mathematics at the University of Kelaniya in Sri Lanka, I moved to Florida to complete my Master's degree and Doctoral degree in Mathematics at the University of South Florida . I completed my Ph.D. in Spring 2013 at the University of South Florida under the supervision of Professor Xiang-dong Hou with a dissertation titled A study of permutation polynomials over finite fields. I moved to Boston in August, 2013 to be a Lecturer (this designation was renamed as Assistant Teaching Professor in 2018) in the Department of Mathematics at Northeastern University, and I was there until June, 2019. In July 2019, I moved to Pittsburgh to join Carnegie Mellon University for a year. I took a break in the academic year 2020/2021. I spent sometime in Indiana and came back to Pittsburgh. In July 2021, I moved to Worcester to join the Department of Mathematics and Computer Science at College of the Holy Cross as a Visiting Assistant Professor.

Select Publications

  1. (with J. Fang and H. Wu) Reversed Dickson polynomials. Accepted in Involve, a Journal of Mathematics arXiv
  2. (with M. Elhamdadi and M. P. Goonewardena) Classification of connected shelves. Accepted in New Zealand Journal of Mathematics arXiv
  3. Reversed Dickson polynomials of the (k+1)-th kind over finite fields, II. Accepted in Contributions to Discrete Mathematics arXiv
  4. (with S. U. Hasan and M. Pal) Dembowski-Ostrom polynomials and Reversed Dickson polynomials. Discrete Applied Mathematics (2021) journal arXiv
  5. (with M. Elhamdadi and B. Tsvelikhovskiy) Ring theoretic aspects of quandles. Journal of Algebra (2019) journal arXiv

Complete listing of Publications

  • Modern Algebra 1
  • Real Analysis 1
  • Linear Algebra
  • Mathematical Structures
  • Multivariable Calculus
  • Calculus 1
  • Calculus 2
  • Calculus 1 with Fundamentals