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Portfolio item number 2
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publications
Quantum Jacobi Forms & Sums of Tails Identities (with A Folsom, E Pratt, & A Tawfeek)
Published in Research in Number Theory, 2021
Joint work with Amanda Folsom, Lizzie Pratt, & Andrew Tawfeek on some novel Sums of Tails Identities giving new quantum Jacobi forms and combinatorial interpretations.
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On Some Notions of Rank for Matrices Over Tracts (with M Baker & T Zhang)
Published in arXiv, 2025
Joint work with Matt Baker & Tianyi Zhang on analyzing various notions of rank over tracts, providing unifying structure to various combinatorial bounds on classical rank in the literature.
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Twice-Marked Banana Graphs & Brill-Noether Generality (with N Pflueger)
Published in Algebraic Combinatorics, 2025 (preprint 2022)
Joint work with Nathan Pflueger on establishing new examples of finite graphs with Brill-Noether generality in every genus.
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talks
Quantum Jacobi Forms and Sums of Tails Identities
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Presented research from the summer of 2021 in analytic number theory. A recording of the talk is available here.
Twice-Marked Banana Graphs & Brill-Noether Generality
Published:
Presented research from 2022 in combinatorial Brill-Noether theory based on joint work with Nathan Pflueger. Session information is available here.
teaching
Introduction to Discrete Math (2603)
TA · Georgia Institute of Technology · 2026
Introduction to proofs: elementary number theory, graph theory, enumeration.
Support for Intro Calc (1499)
Instructor of Record · Georgia Institute of Technology · 2026
Precalculus material covered in a flipped classroom format taken as a corequisite for calc I.