Regular biography
Marcelo Aguiar is a Professor in the Department of Mathematics at Cornell University. His research interests include Algebra, Combinatorics, and Discrete Geometry. Aguiar is affiliated with the College of Arts and Sciences. He has contributed to various publications, including works on hyperplane arrangements and Hopf algebras. Aguiar has received several teaching awards, including the Morgan Chia-Wen Sze and Bobbi Josephine Hernandez Distinguished Teaching Prize in 2025 and the Distinguished Teaching Award from the Cornell Math Department in 2017. His research includes collaborations with Swapneel Mahajan and Federico Ardila.
Scholar-generated biography
Marcelo Aguiar is a Professor of Mathematics at Cornell University, specializing in Algebra, Combinatorics, and Category Theory. His research explores deep connections between algebraic structures and combinatorial objects, with a focus on Hopf algebras, their representations, and applications in combinatorics. Aguiar's work includes the study of pre-Poisson algebras, combinatorial Hopf algebras, and the structure of permutation and tree-based Hopf algebras. He has also contributed to the understanding of infinitesimal bialgebras, quadri-algebras, and the combinatorics of hyperplane arrangements. His research bridges abstract algebra with combinatorial enumeration, offering new insights into algebraic structures through categorical and combinatorial methods.