Ira M. Gessel

Ira M. Gessel is affiliated with Brandeis University in the United States. Their research spans multiple areas within mathematics and computer science, with a primary focus on combinatorics and algebraic structures. The scientist has contributed significantly to discrete mathematics and combinatorics, algebra and number theory, and computational theory and mathematics. Their work also encompasses applied mathematics and artificial intelligence.

Gessel's publication record includes 35 works in mathematics and 17 in computer science. Key subfields of study evident in their research include:

• Discrete Mathematics and Combinatorics
• Algebra and Number Theory
• Artificial Intelligence
• Computational Theory and Mathematics
• Applied Mathematics

Their research frequently addresses advanced combinatorial mathematics and mathematical identities. Prominent topics covered in Gessel's work are:

• Advanced Combinatorial Mathematics
• Advanced Mathematical Identities
• Bayesian Methods and Mixture Models
• Mathematical functions and polynomials
• Algorithms and Data Compression
• Semigroups and automata theory
• Algebraic structures and combinatorial models

Gessel's recent papers demonstrate ongoing developments in these areas. Notable works include:

• "Plethystic formulas for permutation enumeration" (2020) published in Advances in Mathematics
• "A note on Stirling permutations" (2020) on arXiv (Cornell University)
• "Cyclic quasi-symmetric functions" (2021) published in Israel Journal of Mathematics
• "Moments of orthogonal polynomials and exponential generating functions" (2022) in The Ramanujan Journal
• "Binomial convolutions for rational power series" (2023) on arXiv (Cornell University)

Frequent collaboration forms an important part of Gessel's research activities. Coauthors who have contributed to multiple publications include:

• Yan Zhuang
• Jiang Zeng
• Ron M. Adin
• Victor Reiner
• Yuval Roichman

The scientist's publication venues are diverse but with a strong presence in repositories and journals relevant to their fields. Primary venues include:

• arXiv (Cornell University)
• Advances in Mathematics
• Israel Journal of Mathematics
• The Ramanujan Journal
• Journal of Combinatorial Theory Series A

In recognition of their contributions, Ira M. Gessel was named a Fellow of the American Mathematical Society in 2013.