Email: 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