Faculty Profile for Dr. Fernando Quintino Jr.

Biography Section

Biography and Education

PhD University of California, Irvine Spring 2021
MS University of California, Irvine June 2017
BA Mathematics California State University of Fullerton May 2015

Teaching Interests

I enjoy teaching mathematical concepts to students and seeing them understand it. I enjoy engaging with students and helping them find a passion for math.

Research Interests

My area of research is dynamical systems and applications to Spectral Theory of Schrodinger operators. An open question is: what is the logarithmic capacity of the set of exceptional energies in the parametric version of the Furstenberg theorem on random matrix products that was studied by Victor Kleptsyn and Anton Gorodetski. The set of exceptional energies is a dense G_\delta-set. I have been working with different models for the set of exceptional energies. As a result, I have provided sufficient conditions for certain G_\delta subsets of [0,1] to have the same capacity as [0,1]. I am currently working with Victor Kleptsyn to show that the exceptional energies satisfy those sufficient conditions and hence, have the same capacity as [0,1].