MREG Project: Rational Catalan Combinatorics
Students: Yutong Li, Amanda Schwartz, Henry Talbott, Katie Waddle
Faculty advisors: Thomas Lam
and
Harry Richman
Project description
Meeting notes
References

Catalan number Wikipedia

Partitions which are simultaneously t_1 and t_2core
J. Anderson

Results and conjectures on simultaneous core partitions
D. Armstrong, C. R. H. Hanusa, B. C. Jones

Sweep maps: a continuous family of sorting algorithms
D. Armstrong, N. A. Loehr, G. S. Warrington

Rational associahedra and noncrossing partitions
D. Armstrong, B. Rhoades, N. Williams

Positroids, knots, and q,tCatalan numbers
P. Galashin and T. Lam

Compactified Jacobians and q,tCatalan numbers, I
E. Gorsky and M. Mazin

The q,tCatalan numbers and the space of diagonal harmonics
J. Haglund

Sweeping up zeta
H. Thomas, N. Williams

Table of q,tCatalan numbers
M. Zabrocki