Welcome to my site!
Here is a list of projects and activities I am involved in. Feel free to contact me at alexander.diaz-lopez (at) villanova (dot) edu.
My research interests are in algebra and combinatorics. I'm currently interested in peak and descent sets of classical Coxeter groups, root systems of Coxeter groups, arithmetical structures, and representation theory of Iwahori-Hecke algebras. For more details click here.
In Fall 2021, I am teaching Modern Algebra, Math & Stats Communities, and Communitas Seminar (Science, Inquiry & Self) . Click here for more details.
Co-founder and Co-organizer: The Community of Mathematicians and Statisticians Exploring Research is a new research program established in 2019 for students interested in conducting research in mathematics and/or statistics (broadly defined) at Villanova University.
Co-founder and Co-organizer - The Mathematics Summer Workshop for Achieving Greater Graduate Educational Readiness is a five-week virtual Summer program for underrepresented students who are enrolled in a mathematical/statistical graduate program.
Co-founder - Latinx and Hispanics in the Mathematical Sciences was founded in 2016 in order to showcase the contributions of Latinx and Hispanic mathematicians during Hispanic Heritage Month. It has continue to do so and more. I co-organized it from 2016-2018.
Co-organizer - The MAAGC Workshop is an outgrowth of the Philadelphia Combinatorics & Algebraic Geometry (CAGE) seminar. MAAGC aims to bring together senior researchers and junior mathematicians from the region to exchange ideas and forge collaborations in algebraic geometry and algebraic combinatorics.
Co-founder and Co-organizer - program for Villanova students to introduce participants to intriguing problems in math and to provide graduate school information and advice, along with mathematics career perspectives that demonstrate the value of advanced studies in mathematics and statistics.