معرفی
Alex Barrios serves as an Assistant Professor in the Department of Mathematics within the College of Liberal Arts at the University of St. Thomas. His academic foundation includes a PhD and MS in Mathematics from Purdue University, a BS from Brown University, and an AA from Miami-Dade College, establishing deep expertise in theoretical and computational mathematics.
His educational background:
- PhD in Mathematics, Purdue University
- MS in Mathematics, Purdue University
- BS in Mathematics, Brown University
- AA in Mathematics, Miami-Dade College
Dr. Barrios' research bridges abstract number theory with explicit computational methods, specializing in algebraic number theory, class field theory, and Diophantine geometry. His work focuses on elliptic curves as tools for solving intractable problems like Fermat's Last Theorem and the abc conjecture, emphasizing explicit constructions of examples and data calculations that connect theoretical frameworks to practical applications in arithmetic geometry.
Recent publications reveal a concentrated research trajectory on rational elliptic curves, with systematic classifications of isogeny graphs, torsion subgroups, local data, and minimal models. This body of work demonstrates methodological rigor in explicit computation while advancing foundational understanding of Diophantine equations. His 2022 expository publication extends this rigor to diversity initiatives through the Math Alliance, highlighting interdisciplinary engagement beyond pure research.
Dr. Barrios actively contributes to academic service through the Math Alliance initiative, co-authoring publications on community-building in mathematics. While no specific grant funding or student advising roles are documented in available materials, his Fall 2025 teaching roster includes Multi-Variable Calculus, Real Analysis, and an interdisciplinary honors seminar exploring mathematical infinity, reflecting commitment to both core mathematics education and innovative pedagogy.
