I enjoy teaching Ordinary and Partial Differential Equation courses and Numerical Analysis (Scientific Computing) both in our undergraduate and MS programs. I also enjoy supervising student research. With students, I study applications and numerical methods for solving PDEs, questions in analysis, as well as machine learning in categorization. Recent masters students have considered problems in control and stabilization of PDEs as well as studying optimization methods.
I have been recognized as a 2019 Emerging Scholar by Diverse: Issues in Higher Education. For the full issue, click here.
I was the 2018 Business & Technology Partnership Faculty Leader of the Year.
To learn about my career journey, check out this podcast from the 2018 Lathisms series for Hispanic Heritage Month. I also enjoy sharing this podcast on Scientific American's Roots of Unity podcast. You can listen to how my PhD advisor, Prof. Gustavo Ponce inspired my interest in real and harmonic analysis at UCSB.
I am currently a Co-PI (with PI Blake Gillespie and Co-PI Ahmed Awad from the Chemistry Department) for the California Alliance for Hispanic Serving Institutions to Increase Minority Faculty in STEM funded by the NSF. This is a collaborative effort among California State University Channel Islands, University of California Santa Barbara, California State University Fresno, and University of California Merced.
I am also a Co-PI (again with PI Blake Gillespie and Co-PIs Allison Alvarado and Amira Abrahim, and our support coordinator Yvette Cortez) for the 5-year NSF funded Hispanic Serving Institutions STEM Model for Accelerating Research and Teaching (HSI-SMART) which supports undergraduates at CI in a variety of activities including paid Learning Assistants and Undergraduate Research Assistance-ships.
My belief in the transformative power of undergraduate research grew from my participation, and now my leadership of the CSU Alliance for PUMP, Preparing Undergraduates through Mentoring for PhDs in the mathematical sciences, originally founded by Helena Noronha at Cal State Northridge in 2005.
Here is a brief history of PUMP and another great funding source for math undergraduate research, CURM.
Preparing Undergraduates through Mentoring PUMP. Faculty members in math departments across CSU campuses mentor students, typically from Historically Underrepresented Groups (HUGs) and provide meaningful research opportunities. Students receive preparation and financial support towards a Ph.D. program in the mathematical sciences.
Center for Undergraduate Research in Mathematics. Best practices in supervising undergraduate research in mathematics are put in action.