The Number of [Old-Time] Basketball Games with Final Score n:n where the Home Team was Never Losing but also Never Ahead by More Than w Points. - Arvind Ayyer; Doron Zeilberger (Electron. J. Comb., 2007)

A natural bijection between permutations and a family of descending plane partitions. - Arvind Ayyer (Eur. J. Comb., 2010)

Monotone Triangles and 312 Pattern Avoidance. - Arvind Ayyer; Robert Cori; Dominique Gouyou-Beauchamps (Electron. J. Comb., 2011)

Combinatorial Markov chains on linear extensions - Arvind Ayyer; Steven Klee; Anne Schilling (CoRR, 2012)

Determinants and perfect matchings. - Arvind Ayyer (J. Comb. Theory A, 2013)

An inhomogeneous multispecies TASEP on a ring. - Arvind Ayyer; Svante Linusson (Adv. Appl. Math., 2014)

Markov chains, -trivial monoids and representation theory. - Arvind Ayyer; Anne Schilling; Benjamin Steinberg; Nicolas M. Thiéry (Int. J. Algebra Comput., 2015)

Spectral Gap for Random-to-Random Shuffling on Linear Extensions. - Arvind Ayyer; Anne Schilling; Nicolas M. Thiéry (Exp. Math., 2017)

Representations of symmetric groups with non-trivial determinant. - Arvind Ayyer; Amritanshu Prasad; Steven Spallone (J. Comb. Theory A, 2017)

Bumping sequences and multispecies juggling. - Arvind Ayyer; Jérémie Bouttier; Sylvie Corteel; Svante Linusson; François Nunzi (Adv. Appl. Math., 2018)

Factorization theorems for classical group characters, with applications to alternating sign matrices and plane partitions. - Arvind Ayyer; Roger E. Behrend (J. Comb. Theory A, 2019)

Reverse juggling processes. - Arvind Ayyer; Svante Linusson (Random Struct. Algorithms, 2019)

Bijective proofs of skew Schur polynomial factorizations. - Arvind Ayyer; Ilse Fischer (J. Comb. Theory A, 2020)

Toppling on Permutations with an Extra Chip. - Arvind Ayyer; Beáta Bényi (Electron. J. Comb., 2021)

Toppleable permutations, excedances and acyclic orientations. - Arvind Ayyer; Daniel Hathcock; Prasad Tetali (Comb. Theory, 2022)

Combinatorics of a disordered two-species ASEP on a torus. - Arvind Ayyer; Philippe Nadeau (Eur. J. Comb., 2022)

The monopole-dimer model on Cartesian products of plane graphs. - Anita Arora; Arvind Ayyer (Comb. Theory, 2023)

Cores of Partitions in Rectangles. - Arvind Ayyer; Shubham Sinha (Electron. J. Comb., 2024)