My research interest lies in representation theory and is motivated by the connection between algebraic groups and combinatorics.
My work delves into the intricate interplay among the maximal torus, the Borel groups acting on Schubert and spherical varieties
and their associated combinatorial structures. Lately I’ve been investigating the shellability of symmetric spaces
via their Bruhat orders posets. Also, I am keenly interested in topics related to algebraic coding theory.
Mathematical potential is distributed equally among different groups, irrespective of geographic, demographic, and economic boundaries.
Everyone can have joyful, meaningful, and empowering mathematical experiences.
Mathematics is a powerful, malleable tool that can be shaped and used differently by various communities to serve their needs.
Every student deserves to be treated with dignity and respect.
But then I felt possessed by an aura
of inspiration that allowed me to improvise
credible answers and miraculous lucky guesses.
Except in mathematics, which not even
God could make me understand.
Gabriel García Márquez, Living to Tell the Tale, p.204.