Miguel Vivas-Cortez was born in Acarigua, Portuguesa State (Venezuela). He graduated as a Mathematician from the Universidad Centroccidental Lisandro Alvarado (UCLA), where he also obtained his master’s degree in mathematics with a specialization in pure mathematics. His thesis, which studied a competitive system of the Lotka-Volterra type with infinite delay, was published in the prestigious journal (Q1 Scopus) Nonlinear Analysis: Real World Applications (United Kingdom) (see https://doi.org/10.1016/j.nonrwa.2005.09.005).

He received his Doctorate in Sciences, specializing in Mathematics, from the Central University of Venezuela (UCV). His thesis extended the notion of bounded variation to functions defined over compact subsets of the complex plane (https://doi.org/10.14708/cm.v54i1.757), generating four publications in prestigious international journals. He has authored over 200 scientific publications and has accumulated more than 1,500 citations. He has supervised numerous undergraduate, master's, and doctoral theses in research areas such as Differential Equations (Ecological Models), Fractional and Generalized Derivatives (Conformal and Non-Conformal), Nonlinear Analysis (Generalized Convexity), and Functional Analysis (Generalized Bounded Variation Functions). He has authored several textbooks, including Linear Algebra: A Practical Approach, Differential Calculus for Science and Engineering, Pre-Calculus Mathematics, and Analysis of a Complex Variable, among others.

Globally ranked by SciVal Scopus among the top 100 most productive mathematicians (2018–2023) in the field of analysis based on publication volume in Scopus, he is also ranked as the number one mathematician in Ecuador and number six in Latin America (2019–2025) in mathematical productivity, according to SciVal Scopus. Dr. Vivas has over 25 years of experience teaching mathematics at the undergraduate, master's, and doctoral levels. He joined the Universidad Centroccidental "Lisandro Alvarado" (UCLA) in 1997 through a competitive selection process in complex analysis, where he worked until October 2017. He has been a visiting professor at the Universidad Nacional Arturo Prat (Chile), a tenured professor at UCLA, and an invited and occasional professor at the Escuela Superior Politécnica del Litoral (ESPOL), Guayaquil, Ecuador, from October 2016 to September 2017.

He actively engages in science outreach related to mathematics through public and scientific lectures at national and international events. He has frequently been invited as the keynote speaker at the Encuentro Internacional de Matemáticas (EIMAT) at the Universidad del Atlántico.

Dr. Vivas-Cortez has served as a reviewer for various national and international research projects, a referee for prominent Scopus-indexed journals, and a guest editor for the journal Mathematics. He is a member of the Mathematical Reviews by the American Mathematical Society (AMS) and serves on the editorial board of various national and international journals among others of Innovative Journal of Mathematics(https://www.sigmawings.com/journals/index.php/IJM/editorialboard2),,he is also an associate editor of the Journal of Inequalities and Special Functions https://mjl.clarivate.com/search-results?issn=2217-4303.

Dr. Vivas-Cortez has received the Research Incentive Award (PEI) and the Research Promotion Award (PPI) in Venezuela. Since September 17, 2017, he has been a Full Professor (Category 3) and a high-productivity researcher in the Faculty of Exact, Natural, and Environmental Sciences at the Pontifical Catholic University of Ecuador (PUCE), Quito Campus, after winning a competitive selection process with a score of 97/100.

His main research interests include ordinary and fractional differential equations, functional analysis (Bounded Variation Functions), and nonlinear analysis (Generalized Convexity, Integral Inequalities).

Founder and leader of the research group FRACTAL (Fractional Research in Analysis Convexity and Their Applications Lab) at the Pontifical Catholic University of Ecuador (PUCE), a key reference in Latin America for modern analysis and fractional calculus.