I am a faculty member at CSU Channel Islands in the department of Mathematics. My main research interest is on nonlinear dispersive equations. I am currently an NSF-funded PRIMES Faculty Fellow and on leave from my teaching duties until August 2025.

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, and machine learning in categorization. Recent masters students have considered problems in control and stabilization of PDEs as well as studying optimization methods.

My PRIMES Fellowship is a partnership with the NSF-funded Institute for Pure and Applied Mathematics (IPAM), which is housed at UCLA. I attended the Fall 2024 Long Program on the Mathematics of Intelligences. I summarize part of my experience during the 2024 Tapia-Blackwell Conference held at ICERM at Brown. Check out my talk at this link.

I recently co-organized a fun podcast on Nonlocal Analysis with my undergraduate research group. Please join me in celebrating great interdisciplinary mathematics with young talents. Explore Cracking the Secrets of Math, which was founded by Trent Ruiz, and under his leadership, the students won a NASA Undergraduate Research Challenge for $80,000 to start an Augmented Reality and Simulation Group at CSUCI. Students also talk about the transformative experience of attending the NDiSTEM SACNAS conference in San Juan, Puerto Rico, in 2022.

 

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 a Co-PI (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 Undergraduate Research Associate Experiences for which I am the faculty lead.

I recently finished serving as 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 was a collaborative effort among California State University Channel Islands, University of California Santa Barbara, California State University Fresno, and University of California Merced.

My belief in the transformative power of undergraduate research grew from my participation, and now my recent 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.