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Even though my background as an undergraduate was in pure Mathematics, during my Phd Program I decided to do the transition of research area to Applied Math and Statistics. Since then, I started to improve my computational and statistical skills through various coursework at UTRGV, such as Machine Learning, Deep learning, Statistical Learning, Statistical Methods, Linear Models, Numerical Analysis among others. In addition to this, during my Ph.D. program I met my co-advisor from the school of Earth, Environmental and Marine Science who I started to Collaborate in interdisciplinary applications.
Even though my background as an undergraduate was in pure Mathematics, during my Phd Program I decided to do the transition of research area to Applied Math and Statistics. Since then, I started to improve my computational and statistical skills through various coursework at UTRGV, such as Machine Learning, Deep learning, Statistical Learning, Statistical Methods, Linear Models, Numerical Analysis among others. In addition to this, during my Ph.D. program I met my co-advisor from the school of Earth, Environmental and Marine Science who I started to Collaborate in interdisciplinary applications.
My current academic research interests include Statistics, Data Science, and applied mathematics, with a focus on Machine Learning and Deep Learning, particularly in medical and environmental applications. My Ph.D. The dissertation topic focuses on using machine learning to model the temporal variability in CO2, CH4, and N2O fluxes from human made aquatic-systems such as hydropower, and fish-ponds.
As an undergraduate student at the National University of Colombia, I got the opportunity to study Representation theory of Algebras, particularly; Representation Theory of Posset. All of this started in 2017 when Prof. Gonzalo Medina invited me to join his research group as part of a program of the National University. The research group and the project were the greatest contributions to my academic life. I feel this because it enabled me to broaden my knowledge about the topics discussed, learn how to conduct research in Mathematics, develop my communicative abilities, and realized that I wanted to teach and share my knowledge with others. Furthermore, it allowed me to participate in national and international academic events where I disseminated the results of the research.
My current academic research interests include Statistics, Data Science, and applied mathematics, with a focus on Machine Learning and Deep Learning, particularly in medical and environmental applications. My Ph.D. The dissertation topic focuses on using machine learning to model the temporal variability in CO2, CH4, and N2O fluxes from human made aquatic-systems such as hydropower, and fish-ponds.
As an undergraduate student at the National University of Colombia, I got the opportunity to study Representation theory of Algebras, particularly; Representation Theory of Posset. All of this started in 2017 when Prof. Gonzalo Medina invited me to join his research group as part of a program of the National University. The research group and the project were the greatest contributions to my academic life. I feel this because it enabled me to broaden my knowledge about the topics discussed, learn how to conduct research in Mathematics, develop my communicative abilities, and realized that I wanted to teach and share my knowledge with others. Furthermore, it allowed me to participate in national and international academic events where I disseminated the results of the research.
Research Experience
Graduate Research Assistant at The Environmental Change and Sustainability (ECS) Lab
Developed predictive models, including Random Forest and Lasso regression, to estimate greenhouse gas fluxes from reservoirs, utilizing global geospatial data and performing feature selection.
Modeled the temporal variability of greenhouse gas (GHG) emissions, specifically carbon dioxide (CO2), and methane (CH4), from freshwater aquaculture systems in Brazil using techniques such (RNN, LSTM, GANs, transformers).
Developing convolutional neural network (CNN) models to classify fish ponds in the Minas Gerais state of Brazil using satellite imagery.
Fall 2023-Outgoing, University of Texas Rio Grande Valley
Research Assistant Aquatic Ecology Lab (LEA)
I had the incredible opportunity to travel to Brazil for fieldwork and do research on greenhouse gas emissions at the Ecology Lab of the Federal University of Juiz de Fora. While my background is in Mathematics, for the past year, I’ve been applying machine learning techniques to model greenhouse gas emissions in human-made aquatic ecosystems.
One of the biggest challenges I’ve faced is dealing with the complexity of this type of data, particularly because collecting it is both time-consuming and expensive and the variability in the data is huge. During my time in Brazil, I finally had the chance to see how this data is collected. I worked on fish ponds, taking daily measurements. It was an amazing experience because I can realized why working with this data is so challenging.
This experinece not only helped me to understand better my research and think about new methods that I can apply, but also taught me how to take measurements of greenhouse gas emissions and the factors associated to these emissions. I learnt how to use a chamber, and identify the key contributors to greenhouse gas emissions in fish ponds.
I am grateful for this opportunity, which allowed me to learn about a field that I had never imagined I would delve into, which I found amazing and interesting, And also allowed me with the opportunity to deal with challenges where I can merge my background in Mathematics and Data Science with applications to real world problems.
Summer 2024, Federal University of Juiz de Fora, Brazil
Research Group TREA-Techniques for Representations of Algebraic Structures
As an undergraduate student at the National University of Colombia, I got the opportunity to study Representation theory of Algebras, particularly, Representation Theory of Posset. All of this started in 2017 when Prof. Gonzalo Medina invited me to join his research group as part of a program of the National University. Therefore, I became an active member of the Research Group and began research on Representation Theory of Posset and algebras. First, we research Posset Representation’s Differentiation Techniques such as differentiation concerning a pair of points, and differentiation with a maximal point. Second, we researched Frobenius Algebras. Afterward, Prof Gonzalo Medina oversaw an important project about relationships between Representation Theories of Algebras, the Theory of Knots, and Combinatorics with some applications, and I got the opportunity to be a part of it. On this project, we researched and worked together on the four subspace problems.
Fall 2017-Fall 2020, National University of Colombia
The research and the project were the greatest contributions to my academic life. I feel this because it enabled me to broaden my knowledge about the topics discussed, learn how to conduct research in Mathematics, develop my communicative abilities, and realized that I wanted to teach and share my knowledge with others. Furthermore, it allowed me to participate in national and international academic events where I disseminated the results of the investigation. CIMPA Schools, the National Congress of Mathematics in Colombia, courses and conferences were among the activities in which I was involved.
Participating in these events allowed me to obtain a deeper understanding of the topics I had previously studied, as well as meet people from all over the world who had extensive mathematical expertise. As a result, I learnt about Nakayama’s Algebras, Artin Allegra’s, Commutative Algebra, Tensor Categories, Hopf Algebras, Quantum Theory, and Representation Theory of Algebras when I attended the CIMPA school of Geometric and Homological Methods in the Representation Theory of Associative Algebras and Their Applications in Medellin/Colombia and CIMPA school of Algebras and Tensor Categories in Argentina. In addition, these experiences helped me to understand the importance of mathematical communities where the knowledge is disclosed and different cultures and ways of thinking are exposed. Definitely, participating in events and programs like these was an exceptional academic and cultural experience.
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