A brief summary of my formal research and work. (In progress)

  • Jay Gopalakrishnan, Jacob Grosek, Gabriel Pinochet-Soto, Pieter Vandenberge. Adaptive resolution of fine scales in modes of microstructured optical fibers. Preprint.

  • Aralar Erdozain, Ignacio Muga, Victor Péron, Gabriel Pinochet. Semi-analytical solutions for the problem of the electric potential set in a borehole with a highly conductive casing. Preprint. Article.

Talks

  • Adaptivity for Computing Modes of Microstructured Optical Fibers and Their Confinement Losses. Recent Developments in Numerical and Analytical Approaches to PDEs, SIAM Annual Meeting 2024, Spokane, WA, USA. Wednesday, July 10, 2024.

  • Adaptive resolution of fine scales in modes of microstructured optical fibers. Computational Analysis Seminar, Vanderbilt University, Nashville, TN, USA. Wednesday, March 20, 2024.