Darren A. Narayan

Darren A. Narayan is a Professor in the School of Mathematical Sciences within the College of Science at Rochester Institute of Technology (RIT), where he also serves as Director of Undergraduate Research. His academic foundation includes a BS from State University of New York at Binghamton and MS/PhD from Lehigh University.

His educational background is:

• BS: State University of New York at Binghamton
• MS, PhD: Lehigh University

Narayan's research spans Graph Theory, Combinatorics, and their real-world applications in Social Networks, Brain Connectivity, and Mathematical Modeling. His work bridges theoretical mathematics with practical problems in neuroscience, transportation systems, and internet infrastructure. He develops graph-theoretic metrics for analyzing functional MRI data, social network dynamics, and network efficiency in systems like Atlanta's subway and fiber-optic networks.

His publication trends reveal consistent focus on graph labeling (k-rankings, bent ladders), network efficiency metrics, and interdisciplinary applications. Key themes include brain connectivity modeling using clustering coefficients, real-world network analysis (social, transportation, fiber-optic), and combinatorial solutions for access control and resource allocation.

His research is supported by significant NSF funding, including renewal of RIT's longest-running REU site in extremal graph theory and dynamical systems.

Narayan actively mentors undergraduate researchers and leads the STEM Real World Applications of Mathematics Project, which connects classroom concepts to real industry problems through modules with IBM, National LambdaRail, and Cisco Systems. His grant portfolio includes NSF-CCLI Award #1019532 and multiple REU site funding cycles.

He directs research initiatives through the School of Mathematical Sciences, focusing on collaborative projects with industry partners to demonstrate practical applications of graph theory in network design, brain connectivity analysis, and optimization problems.