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Projects
drp-unl edited this page Jan 25, 2024
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This is a list of topics proposed by current graduate students interested in mentoring this semester.
- (Extremal Combinatorics) This project will look at topics in extremal combinatorics (graph and poset theory) such as intersecting set, shadow minimization, maximum weight ideal, and isoperimetric theorems, as well as relationships between these problems in the hypercube.
- (Graph Theory) This project has a variety of options, such as: matchings, flows, Hamiltonian and Eulerian walks, colorings, shortest path algorithms, trees, planar graphs, and connectivity. A project exploring platonic graphs is also an option.
- (Linear Algebra and Differential Equations) This project will focus on applied analysis and applied linear algebra, or differential equations, depending on the student’s preference.
- (Numerical Differential Equations and the Finite Element Method) In this project you will learn how to use numerics to solve PDEs.
- (Group Theory) This project would give an introduction to geometric group theory.