Marcus Michelen

Math PhD Student

Research Interests

I am primarily interested in probability and combinatorics. My research is currently focused on percolation on Galton-Watson trees as well as the distribution of coefficients of polynomials based on the location of their roots. My advisor is Robin Pemantle.

I took my qualifying exam on November 10, 2015; I had a major topic of probabilistic combinatorics and a minor topic of algebraic number theory.

Publications

Preprints

Selected Talks

Short Talks

University of Pennsylvania Probability Seminar

  • Invasion Percolation on Galton-Watson Trees (October 2017)
  • The Cap Set Problem and Ellenberg and Gijswijt's Recent Results (June 2016)

Grad Student Seminars

  • Random Matrices and the Semicircle Law (February 2018)
  • Branching Processes: Random Trees and Percolation on Them (October 2017)
  • Random Graphs and Their Zero One Laws (February 2017)
  • Simple Random Walks and Electrical Networks (September 2016)
  • Probabilistic Methods in Ramsey Theory(January 2016)
  • An Exposition of the Catalan Numbers (September 2015)
  • Introduction to Quantum Computing (October 2014)