I have written up a few summary pages for subjects that I have been involved with in my research. These include some links to related papers. These pages are only intended to be starting points for interested readers, and are far from complete surveys of the relevant subjects.

• $(q,t)$-generalizations of Foulkes’ conjecture
• $(q,t)$-Catalan polynomials and generalizations
• The nabla operator
• Macdonald polynomials
• Diagonal harmonic polynomials
• Trivariate diagonal harmonics
• Shuffle conjectures
• Garsia Haiman modules (related to the $n$!-conjecture, that has now been proven)
• Combinatorial species of structures
• Descent algebras of Coxeter groups
• Friezes and Tilings
• Euclidean addition chains