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Undergraduate Research-Math 444

Name: Nader Vakil

Areas of Interest: Linear Algebra, Analysis, and Topology

Description: Here is an example of a possible project:

1) Choose a familar concept such as Eigenvalue, Intergrability, or Compactness.

2) Identify at least two other concepts that you conjecture are logically related to the concept you chose in step 1.

3) Develop a theory that describes the logical interaction among the chosen concepts.

4) Find an application within or outside of mathematics for the theory you have developed in 3.

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