Houcine Ben Dali

Houcine Ben Dali is a Benjamin Peirce Fellow at Harvard University and a postdoctoral researcher at the Center of Mathematical Sciences and Applications. His research focuses on algebraic and enumerative combinatorics, with an emphasis on symmetric functions and their connections to combinatorial structures such as maps on non-orientable surfaces, lattice paths, and multiline queues. He is also interested in the interplay between these topics and mathematical physics. Ben Dali defended his thesis at Université de Lorraine in June 2024 under the supervision of Valentin Féray and Guillaume Chapuy.

Houcine Ben Dali is a Benjamin Peirce Fellow at Harvard University, specializing in Algebraic Combinatorics. His research focuses on the interplay between combinatorial structures and symmetric functions, with an emphasis on Jack polynomials, Macdonald polynomials, and their connections to representation theory. He has contributed to the proof of Lassalle's conjecture, the development of positive formulas for Jack polynomials, and the exploration of differential equations for hypermaps. His work also includes the study of path operators, tau functions, and the combinatorial interpretation of interpolation Macdonald polynomials, highlighting his expertise in algebraic and probabilistic methods within combinatorics.