Rayan Ibrahim
Assistant Professor of Mathematics
Ray Ibrahim earned his B.S. in mathematics from the College of Staten Island and his M.S. in mathematics and Ph.D. in systems modeling and analysis from Virginia Commonwealth University. Before coming to Hamilton, he served as a visiting assistant professor of mathematics at Lafayette College. Ibrahim’s research explores combinatorics and graph theory, with a particular focus on infection processes and combinatorial applications for modeling RNA molecules. Dedicated to accessible education, Ibrahim emphasizes the development and use of open-source course materials. He is also enthusiastic about introducing undergraduates to research through the use of automated conjecturing software.
Recent Courses Taught
Calculus I
Calculus II
Research Interests
Graph theory, bootstrap percolation, knot theory, RNA structure modeling, discrete mathematics
Selected Publications
- Methods for Analyzing RNA Pseudoknots via Chord Diagrams and Intersection Graphs. R. Ibrahim and A. H. Moore (2025). arXiv: 2512.19939. Submitted.
- Determinants of Simple Theta Curves and Symmetric Graphs. M. Elpers, R. Ibrahim, and A. H. Moore. J. Knot Theory Ramifications (2025). arXiv: 2211.00626. Accepted.
- Minimum 2-percolating sets in 2-connected, diameter 2 graphs. R. Ibrahim, H. LaFayette, and K. McCall. Australas. J. Combin. 93 (2025), pp. 60-89.
- Introducing 3-path domination in graphs. R. Ibrahim, R. Jackson, and E. L. C. King. J. Combin. Math. Combin. Comput. 121 (2024), pp. 97-106.
- Bootstrap percolation, connectivity, and graph distance. R. Ibrahim, H. LaFayette, and K. McCall. Art Discrete Appl. Math. 7.3 (2024), Paper No. 3.03, 16.
- Submesoscale Kinematic Properties in Summer and Winter Surface Flows in the Northern Gulf of Mexico. M. Berta, A. Griffa, A. C. Haza, J. Horstmann, H. S. Huntley, R. Ibrahim, B. Lund, T. M. Özgökmen, and A. C. Poje. Journal of Geophysical Research: Oceans 125.10 (2020), e2020JC016085.
Appointed to the Faculty
2026Educational Background
Ph.D., Virginia Commonwealth University
M.S., Virginia Commonwealth University
B.S., College of Staten Island
