Drew Armstrong

Drew Armstrong is an Associate Professor in the Mathematics Department of the College of Arts and Sciences at the University of Miami. His academic career is centered on combinatorial mathematics with significant contributions to rational Catalan combinatorics and related fields.

His research spans several key areas:

• Rational generalizations of Catalan combinatorics
• Parking functions and their algebraic connections
• Associahedra and simplicial complexes
• Noncrossing and nonnesting partitions
• Core partitions and their properties
• Sweep maps and combinatorial algorithms

Armstrong's work demonstrates a consistent focus on extending classical combinatorial structures to rational parameters, creating new connections between combinatorics, algebra, and geometry. His publications reveal a progression from classical Catalan combinatorics toward more general rational frameworks, often revealing deeper structural insights through these generalizations.

His scholarly contributions have appeared in leading mathematics journals including Advances in Mathematics, Annals of Combinatorics, and Transactions of the American Mathematical Society, reflecting the significance of his work within the mathematical community.

As an academic, Armstrong maintains active collaborations with prominent combinatorialists including Victor Reiner, Brendon Rhoades, Nicholas Loehr, and Gregory Warrington, contributing to the vibrant research environment in algebraic combinatorics.