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math.CO2015
Modular Catalan Numbers
Nickolas Hein, Jia Huang
The Catalan number enumerates parenthesizations of where is a binary operation. We introduce the modular Catalan number to count equivalence cl…
math.AG2015
A lifted square formulation for certifiable Schubert calculus
Nickolas Hein, Frank Sottile
Formulating a Schubert problem as the solutions to a system of equations in either Plücker space or in the local coordinates of a Schubert cell usually involves more equations than…