Meeting Menu

2023 Spring Meeting – Student Talks

Saturday – May 6

Room: STC 0060

  1. Time:
    12:30 pm – 12:50 pm
    Title:
    Deaf Teachers or Hearing Teachers
    Speaker:
    Josiah Shaffer (Niagara University)
    Abstract

    Deaf Culture created a heavy influence towards my perspective socially. An often controversial topic of discussion is between deaf teachers and hearing teachers. Deaf teachers argue it’s their culture and language so hearing people don’t understand the intricacies. Hearing people argue it’s fair use to teach a language not just by members of the community. Computing several types of Nonparametric statistical tests on my nonnumerical data, I adapted an argument to determine which side has more strength to their perspective.

  2. Time:
    12:50 pm – 1:10 pm
    Title:
    Random Matroid Polytope
    Speaker:
    Hin Lon Lao (York University)
    Abstract

    Gelfand, Goresky, MacPherson and Serganova introduced what peoples call “matroid polytope” later in their 1987 paper. That is an equivalent way of axiomatizing matroids. Given an arbitrary 0-1 polytope, we can consider the matroid polytope generated by it. By considering random 0-1 polytopes, we get a model of “random matroid polytope”. It is not known at this point where this will lead us to, but it can potentially open an interesting path.

  3. Time:
    1:10 pm – 1:30 pm
    Title:
    How do Noetherian modules work on the Mordell theorem?
    Speaker:
    Chu Chu (York University)
    Abstract

    If a non-singular rational plane cubic curve has a rational point, then the group of rational points is finitely generated(Mordell theorem). That means the abelian group by addition of elliptic curves is a torsion group. Based on each subgroup is finite order, there exists a maximal order subgroup(Zorn lemma). By definition of rings,all rings are (include) abelian groups by addition. Elliptical curves can be described by abelian groups by addition in general. There exists a maximum value of ascending chain subgroups of abelian groups classified by points nP=O for n is positive integers and n less and equal to 12(Mazur’s Theorem),for n is the order of groups. It satisfies noetherian conditions. The group generated by nP=O and get more points by addition rule means there exists a maximum order subgroup similar to noetherian module which has maximum value of ascending chain means maximal submodule exists and all of them can be proven by Zorn lemma. Therefore, an abelian group can be viewed as a module over the ring Z, so the abelian groups which describe the elliptic curves can be included in the noetherian module.

  4. Time:
    2:10 pm – 2:30 pm
    Title:
    Application of Hybrid Optimization Algorithms to Artificial Intelligence
    Speaker:
    Yuki Watariguchi (SUNY Geneseo)
    Abstract

    We utilized a hybrid algorithm combining the Particle Swarm Optimization and the Nelder-Mead Method, both of which are recognized optimization methods, in the context of artificial intelligence. We conducted a comparison of the performance of this algorithm with other optimization techniques. Our analysis focused on evaluating the rate of convergence and accuracy of both methods using data and performance profiles.