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Undergraduate Research-Math 444

Lia PetracoviciName: Lia Petracovici

Areas of Interest: Real Analysis, Complex Analysis, Dynamical Systems, and Differential Equations

Description: Some possible topics for undergraduate research would be chaotic dynamical systems (what are some different definitions of a chaotic dynamical system? how can we prove that these definitions are equivalent?), fractals (how do they arise? how can we produce fractals on the computer?), visualizing conformal mappings of the complex plane. I would be happy to work with the interested students to find other projects of interest to them.