معرفی
Dr. Jay Pantone is an Assistant Professor in the Department of Mathematical and Statistical Sciences at Marquette University. His research focuses on computational and experimental methods in enumerative combinatorics, including permutation patterns, symbolic computation, and statistical mechanics applications. He holds a Simons Collaboration Grant (2020) and co-leads an NSF-funded project (2024) on AI-driven proof writing.
Research interests include:
- Algorithmic frameworks for combinatorial enumeration
- Permutation patterns and inversion sequences
- Finite state machines and generating function conjectures
- Statistical mechanics models via lattice walks
Grants:
- NSF IUSE: AI-HELP Grant (2024): $749k collaborative project
- Simons Collaboration Grant (2020): $42k for enumerative/experimental combinatorics
Software contributions:
- PermPAL: Permutation pattern avoidance database
- FiniteStateMachines: Open-source Python library
- DiffApprox: Maple package for asymptotic predictions
Recent work includes advancing the Combinatorial Exploration framework, resolving conjectures on self-trapping lattice walks, and developing tools for automated theorem proving in combinatorics.
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