Leonardo Medina Espinosa
Professor of the School of Mathematical and Computer Sciences
Universidad YachayTech
Leonardo Medina Espinosa
Professor of the School of Mathematical and Computer Sciences
Universidad YachayTech
Embedded Files
Professor of the School of Mathematical and Computer Sciences
Universidad YachayTech
I am a full-time Occasional Professor in the Universidad YachayTech School of Mathematical and Computer Sciences (EPN) in Quito, Ecuador.
I am a full-time Occasional Professor in the Universidad YachayTech School of Mathematical and Computer Sciences (EPN) in Quito, Ecuador.
My academic activity focuses on Probabilities, Statistics, and Partial Differential Equations research, with a keen interest in their practical applications. I also develop and implement outreach projects with rural communities, applying these theoretical concepts to real-world problems. Additionally, I offer courses in Statistics and Probabilities in the Faculty of Sciences of the EPN and other faculties, aiming to equip the next generation of researchers with the tools they need to make a difference.
My academic activity focuses on Probabilities, Statistics, and Partial Differential Equations research, with a keen interest in their practical applications. I also develop and implement outreach projects with rural communities, applying these theoretical concepts to real-world problems. Additionally, I offer courses in Statistics and Probabilities in the Faculty of Sciences of the EPN and other faculties, aiming to equip the next generation of researchers with the tools they need to make a difference.
In 2023, I obtained my Master's in Mathematics under the supervision of Gregorio Moreno Flores, an outstanding researcher at the Pontificia Universidad Católica de Chile specializing in Probability. My thesis, entitled Directed Polymers in Complex-Valued Random Environments on the Tree, extended the work of Evans, Derrida, and Speer to more general potentials. This research, which has been well-received in the academic community, resulted in significant simplifications of the original approach, leading to weakening previous hypotheses and more robust results.
In 2023, I obtained my Master's in Mathematics under the supervision of Gregorio Moreno Flores, an outstanding researcher at the Pontificia Universidad Católica de Chile specializing in Probability. My thesis, entitled Directed Polymers in Complex-Valued Random Environments on the Tree, extended the work of Evans, Derrida, and Speer to more general potentials. This research, which has been well-received in the academic community, resulted in significant simplifications of the original approach, leading to weakening previous hypotheses and more robust results.
In 2019, I graduated as a mathematician at EPN under the invaluable mentorship of Juan Mayorga-Zambrano, a researcher at Universidad de Investigación de Tecnología Experimental Yachay. His guidance and support were instrumental during my undergraduate years, where I investigated the nonlinear Schrödinger equation with critical frequency, addressing the finite case analyzed by Byeong and Wang. In my work, I demonstrated the existence of infinite pairs of solutions, not necessarily positive, which present a concentration phenomenon. This effort resulted in the publication of the papers:
In 2019, I graduated as a mathematician at EPN under the invaluable mentorship of Juan Mayorga-Zambrano, a researcher at Universidad de Investigación de Tecnología Experimental Yachay. His guidance and support were instrumental during my undergraduate years, where I investigated the nonlinear Schrödinger equation with critical frequency, addressing the finite case analyzed by Byeong and Wang. In my work, I demonstrated the existence of infinite pairs of solutions, not necessarily positive, which present a concentration phenomenon. This effort resulted in the publication of the papers:
Page updated
Google Sites
Report abuse