Meilin Ranjan
Virginia Beach,VA
Summary
Second-year undergraduate student with broad interests in physics, mathematics, and theoretical economics. Enjoys both analytical and phenomenological work.
Overview
1
1
year of professional experience
Work History
Research Mentee
UVA Mathematics Directed Reading Program
09.2025 - Current
Working along graduate mentor on independent project in topology and Lie theory, culminating with presentation on the Poincare-Hopf Theorem
Contributor
Classical Mechanics Research Project
10.2025 - 11.2025
Explored Hamiltonian mechanics beyond the standard undergraduate curriculum; wrote a research-style (LaTeX) paper deriving Hamilton's equations and Liouville's Theorem; applied results to classical physical systems; generated phase plots using Mathematica
Participant
College Science Scholars Seminar
09.2024 - 12.2024
Selected to attend 10+ faculty research talks across physics, mathematics, and related sciences
Education
B.S. Physics; B.A. Mathematics - Expected May 2028
University of Virginia, College of Arts & Sciences
Charlottesville, VASkills
- Python (including data analysis and visualization with Pandas, NumPy, Pyplot, Seaborn, and SciPy)
- Java
- Mathematica
- LaTeX
RELEVANT COURSEWORK
- Mathematics: Advanced Calculus and Linear Algebra I-II, Advanced Linear Algebra, Partial Differential Equations, Abstract Algebra
- Physics: Modern Physics, Classical Mechanics, Statistical Physics, Python for Physicists
- Other: Mathematical Microeconomics, Intermediate Macroeconomics, Data Structures & Algorithms I
- In Progress: Intermediate Electricity and Magnetism I, Quantum Mechanics II, Calculus on Manifolds, Operations Research, Complex Analysis
Timeline
Contributor
Classical Mechanics Research Project
10.2025 - 11.2025
Research Mentee
UVA Mathematics Directed Reading Program
09.2025 - Current
Participant
College Science Scholars Seminar
09.2024 - 12.2024
B.S. Physics; B.A. Mathematics - Expected May 2028
University of Virginia, College of Arts & Sciences