Samuel Leventhal - Graduate Research Assistant
supervisor Dr. Valerio Pascucci
I completed my bachelors at the University of Utah in Mathematics and Physics with minors in Philosophy and Computer Science. I have had the fortune of working with Stephan LeBohec on a derivation of the quantum postulates using scale relativity as well as a search for quantum like structuring in celestial systems, Jeff Phillips in constructing an efficient geometric algorithm used for determining the extent of multi-dimensional data sets under the strict turnstile model, Benoit Valiron in extending the functional programming language Quipper to include callcc, and Bei Wang developing a topologically based quality assessment for dimension reduction of high dimensional data. I am now a Ph.D. student in computer science at the University of Utah.
I am currently working with ARUP to implement a machine learning based classifier to identify various types of lymphoma through images of tissue samples from diagnosed patients. Second to this I am also working on determining an equivalence or lack there of between discrete Morse theory (or Forman theory) and the use of gradient fields for constructing simplicial complexes (or the Jacobi approach).
My focus is theory and innovative algorithm design for large scale data from the perspective of Data Mining and Machine Learning, particularly in the context of geometric and topological computing.