My research lies in algebraic combinatorics, with a focus on symmetric functions and their generalizations. I am particularly interested in Macdonald polynomials, combinatorial Hopf algebras, and symmetric and quasisymmetric functions in different contexts.

Macdonald polynomials are central objects in algebraic combinatorics, belonging to a broader family of special functions that includes Schur, Hall--Littlewood, and Jack polynomials. These functions exhibit rich combinatorial structures and deep connections with representation theory, algebraic geometry, and mathematical physics. Symmetric functions in superspace provide a rich extension of the classical theory, involving both commuting and anticommuting variables. In recent years, my work has focused on developing the combinatorial and algebraic structures arising in this setting.

I am also interested in exploring interactions between symmetric functions and other areas of mathematics. My main background is in algebraic combinatorics, but I am eager to learn more about connections with representation theory, Schubert calculus and flag varieties, integrable probability, knot invariants, and coinvariant rings.

Students

MSc:

• Bárbara Ponce (2025-2026)

• Fernanda Strötkotter (2025-2026)

Undergrad: 

• Bárbara Ponce (2023)