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Neranjan Marasinghe

Instructional Assistant Professor of Mathmatics

Neranjan Marasinghe

Dr. Neranjan Marasinghe is an Instructional Assistant Professor of Mathematics in the Department of Mathematics at the University of Mississippi.

Research Interests

Dr. Neranjan Marasinghe's main research areas include:

  • Complex Analysis
  • Geometric Function Theory
  • Potential Theory

Biography

Dr. Neranjan Marasinghe earned his Ph.D. in Mathematics from Texas Tech University in August 2025 under the supervision of Dr. Alexander Solynin. His dissertation was titled "Extremal Problems on Conformal Radii and Related Quantities.”

Publications

Papers:

N. Marasinghe and A. Solynin, Geometric mean of conformal radii for compact sets contained in a simply connected domain, J. Math. Anal. Appl. 553 (2026), no.~2, Paper No. 129970; MR4948045.

Courses Taught

  • Math 2611 Unified Calculus and Analytical Geometry I
  • Math 2612 Unified Calculus and Analytical Geometry II
  • Math 2613 Unified Calculus and Analytical Geometry III
  • Math 2614 Unified Calculus and Analytical Geometry IV
  • Math 3190 Introduction to Linear Algebra
  • Math 3530 Elementary Differential Equations
  • Math 4590 Introduction to Complex Analysis

Education

Ph.D. Mathematics, Texas Tech University (2025)