newEmail: epsilva  @hawaii.edu Office: PSB 304

I am currently an instructor at the University of Hawaii. I got my Ph.D. in 2014 from Indiana University under the direction of Ciprian Demeter focusing on the area of time-frequency analysis in harmonic analysis.

Research:  I am interested in geometric aspects of de Branges spaces with application to number theory and spectral theory.

Analysis Seminar, Mathematical Physics Seminar

Previous affiliations

Caltech: Harry Bateman Instructor in mathematics 2014-2016

Indiana University Bloomington: Associate instructor 2008-2014

Papers and Preprints

  • Vector-valued inequalities for families of bilinear Hilbert transforms and applications to bi-parameter problems, J. London Math. Soc. (2014) 90 (3): 695-724.
  • [with Demeter, C.], Some new light on a few classical results, Colloquium Mathematicum, 140 (1): 129-147
  • [with Biswas, A. and Martinez, V.], On Gevrey regularity of the supercritical SQG equation in critical Besov spaces, Journal of Functional Analysis (2015) 269 (10): 3083- 3119

Current Teaching

University of Hawaii

  • Calculus I, III Fall 2018

Past Teaching

UCSD

  • Calc III Summer  2017

Caltech

  • Introduction to Mathematical Chaos (Ma 004/Ma104) Spring 2016
  • Topics in Analysis (Ma111a) Spring 2016
  • Real Analysis (Ma110a)  Fall 2014
  • Dynamical Systems (Hamiltonian dynamics) (Ma147b) Winter 2015
  • Topics in Analysis (Ma111a) Winter 2015
  • Ordinary and Partial Differential Equations (Ma142) Fall 2014

Indiana University Bloomington

  • Intro to Problem Solving
  • Intro to Finite Math
  • Brief Survey of Calculus I
  • Finite Math
  • Pre-Calculus
  • Conducted Tier 1 Analysis problem-solving sessions