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Undergraduate Research-Math 444

KalantariName: Iraj Kalantari

Areas of Interest: Logic, Set Theory, Geometry, Topology, Dynamical Systems

Description: I invite the interested undergraduate student and help her/him to find a specific theorem of junior or senior level mathematics courses, and research it. This research would include the history, the variety of the proofs for that theorem, and applications of it. The student is expected to consult various textbooks and accessible journals to gather and examine different proofs or applications in a paper.

I am also interested in helping the student to develop computer animation/study of a theorem and its proof, or of a phenomenom in dynamical systems or cellular automata (or similar areas). For this project, the student will write a paper and a program demonstrating thoughtful understanding of the theorem, its proof, and its computer demonstration.