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Dionel Jaime

University of Wisconsin-Madison
Department of Mathematics

  • Curriculum Vitae
  • Research Description (To be updated soon)
  • Math Stack Exchange Profile

  • I am a third year math PhD student at the University of Wisconsin-Madison. My advisor is Amos Ron.

    My research lies within Approximation Theory and Time Frequency Analysis. I am currently researching the approximation properties of various multiresolutional spline constructions outside of the typical L^2 setting. The setting I am exploring comes from a spline theoretic viewpoint of several fundamental results from Lie Group/Lie Algebra representations. My hope is to generate new results which expand how we think about spline approximations.

    If you are an undergraduate interested in learning about B-splines or the Discrete Fourier Transform and how this topic related to data science, feel free to reach out to me. In addition, feel free to email me if you're interested in frames,wavelets, and/or box splines and how these topics relate to data science. I am willing to do a Directed Reading Program for any of these topics.

    Previously I organized Visit Day for the accepted math PhD students. If you're a propsective student or if you have questions about the program, feel free to reach out to me.
    Prior to being a PhD student, I was born and raised in New York City and obtained by undergraduate degree from the University of Rochester where I was advised by Alex Iosevich.