My Journey
Growing up in Ecuador, I was drawn to mathematics because of its elegance and logical structure. Over time, I became increasingly interested in the ways mathematical ideas can be used to understand real-world problems. This curiosity eventually led me toward applied mathematics, where theory and applications meet.
Today, I work at the intersection of mathematics, biology, and the social sciences. I enjoy exploring questions where individual decisions, interactions, and behaviors produce large-scale patterns that can be studied through mathematical models.
Research Philosophy
What I enjoy most about research is asking questions. Many of the problems that interest me do not belong exclusively to mathematics, biology, or public health. Instead, they live somewhere in between.
I am particularly interested in understanding how local interactions shape global outcomes. Whether studying infectious diseases, social behavior, or population dynamics, I find it fascinating that relatively simple mechanisms can generate complex patterns.
My work often combines mathematical modeling, dynamical systems, optimization, and data-driven approaches to investigate these processes.
Teaching
Teaching is one of the most rewarding aspects of academic life. I enjoy helping students build confidence in quantitative thinking and discover that mathematics is much more than formulas and calculations.
My goal as an instructor is to create learning environments where students feel comfortable asking questions, exploring ideas, and developing problem-solving skills that extend beyond the classroom.
Whether teaching mathematical modeling, calculus, or applied mathematics, I strive to connect abstract concepts with meaningful applications.
Community & Leadership
Beyond research and teaching, I believe that strong academic communities are built through collaboration, mentorship, and service.
Throughout my academic career, I have been involved in student organizations, leadership initiatives, and community-building efforts. These experiences have reinforced my belief that scientific progress depends not only on technical expertise but also on communication, teamwork, and mutual support.
A Few Things I Believe
- Mathematics is most powerful when it helps us understand real-world problems.
- The best ideas often emerge at the intersection of different disciplines.
- Teaching and research strengthen one another.
- Curiosity is more valuable than certainty.
- Good science is collaborative.