Fernando A. Lopez Garcia

Some of the goals that motivated this initiative were to have a friendly international experience from home, strengthen our global perspective, resignify our knowledge in Spanish and English, expand our network, and enjoy doing mathematics together. 

Spring 2021

In collaboration with Professors Roberto Ben and Antonio Cafure from Universidad Nacional de General Sarmiento, we organized a sequence of global meetings on series and fractals connecting students from the United States and Argentina to explore how people from different countries can learn from one another and develop a greater understanding of each other’s cultures.
This international multicultural initiative consisted of three ninety-minute-long virtual meetings. During these events, twenty math students from Cal Poly Pomona and Universidad Nacional de General Sarmiento discussed questions related to geometric series, fractals, and dimensions. 

MAT 4990 - An international collaboration in Analysis

In this course, students from our institution meet virtually with students from abroad universities to solve mathematical problems collaboratively. This course offers an excellent opportunity to have a friendly international experience from our own campus, enjoy thinking about mathematical problems with others, strengthen our global perspective, and make new friends in a diverse, multicultural, and multilingual environment. Any level of Spanish is welcome, including no prior knowledge.

The mathematics in this class relates to different notions of limits and which properties or values carry over to the limit. For example: given a convergent sequence of rational numbers, can we conclude that its limit is also rational? What about a convergent sequence of integers; will its limit also be an integer number? Now, let us consider the convergence of functions. Suppose we have a pointwise convergent sequence of functions on the interval $[0,1]$, each with an arclength equal to $\mathrm{L<br>}$. Can we conclude that the limit function also has an arclength equal to $\mathrm{L<br>}$? What if we instead consider uniform convergence? These are the kinds of questions we will discuss in our meetings.

Fall 2024

Prof. Roberto Ben from UNGS was the co-organizer of the international collaboration. The students from our department who have participated in this initiative as enrolled students or collaborators are Luis Aguilar, Alexandra Castelazo, Adriana Enriquez, Ariana Escalante, Ben Le, Fayre-Ella Ooi, Yohali Silva Hernandez, and Edgar Rojas. The students from Buenos Aires are Luciana Sagari, Fabricio Quinteros, and Solange Pitronacci. The students presented their experiences at various events in both universities.

Fall 2025

The co-organizers of this international collaboration are Prof. Roberto Ben from Universidad Nacional de General Sarmiento (UNGS), Prof. Silvina Campos from Universidad Nacional de Salta (UNS), and Prof. Greisy Winicki-Landman from Cal Poly Pomona (CPP). This semester, students from these three universities will meet virtually to discuss some problems in Analysis.