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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.

- 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.

Date |
Speaker |
Title |

2024-6-21 | Ifeanyichukwu (Valentine) Ukenazor, PhD | Scale Invariant Equations and Its Modified EM Algorithm for Estimating A Two-Component Mixture Model |

2024-6-20 | Jill Kaiser, PhD | Club Isomorphisms Between Subtrees of Aronszajn Trees |

2024-6-18 | Johanson Berlie, MS | Graph self-similarity and the Hausdorff dimension of the Heighway Dragon boundary |

2024-6-7 | James Atchley, PhD | Questions Involving Countable Intersection Games |

2024-3-20 | Jacob Williams, MS | Ramanujan Congruences for the Partition Function |

2024-3-20 | Aaron Jackson, MS |
A Tree-based Discrete Time Model for Jump Diffusion Option Valuation |

2024-2-28 | Brandon Mather, MS |
Quantum Group Actions and Hopf Algebras |

2023-12-12 | Helena Tiller, MS |
The Subgroup Structure of GL(2, p) for p a prime |

2023-10-30 | Xuan Nguyen, MS |
Hidden Markov Models with Applications |

2023-10-30 | Ugochukwu (Oliver) Adiele, PhD |
Option Pricing Under New Classes of Jump-Diffusion Processes |