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Learn about the exciting research our graduate students are preparing to defend in their final steps toward earning their degree in mathematics.

Upcoming Events

  • 2024-10-24, 12:15 pm, GAB 473: Martin Guild (Master's)

    Kempe's Universality Theorem and Infinitely-Sized Linkages

    In this defense, we will discuss the theory of mechanical linkages consisting of bars and joints. We will first go through a proof of Kempe's Universality Theorem, which illustrates the relationship between mechanical linkages and algebraic curves. A.B. Kempe's original proof had a few minor flaws, which we will be correcting. Then, we will discuss the notion of infinitely-sized linkages and use this to demonstrate a surprising connection between 5-bar linkages and Lissajous curves.

     

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