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publications
A Projective Representation of the Modular Group
Published in arXiv, 2020
In this paper, we calculate the trace and determinant of matrices representing the \(SL_2(\mathbb{Z})\)-action on \(\mathcal{W}_q\). This is the result of my undergraduate research under the supervision of Prof. Charles Frohman.
Consecutive Radio Labeling of Hamming Graphs
Published in arXiv, 2020
In this paper, we show provide a consecutive radio labeling for \(K_3^4\). This is the result of the research I conducted in high school under the supervision of Prof. Maggy Tomova.
Bitcoin Oracle Contracts: Discreet Log Contracts in Practice
Published in IEEE International Conference on Blockchain and Cryptocurrency, 2022
In this paper, we discuss the design of the Discreet Log Contract specification and its performance.
A Linear Representation for Constant Term Sequences mod \(p^a\) with Applications to Uniform Recurrence
Published in arXiv, 2025
In this paper, we show that, for a fixed prime \(p\), a fixed integer Laurent polynomial \(P\), arbitrary integer Laurent polynomial \(Q\), and arbitrary positive integer \(a\), the sequences \((\)ct[\(P^nQ\)] mod \(p^a)_{a, Q}\) are either all linearly recurrent or all 0 with frequency 1. We characterize when each of these cases occur.
Uniform Recurrence in the Motzkin Numbers and Related Sequences mod \(p\)
Published in The Electronic Journal of Combinatorics, 2025
In this paper, we characterize the primes, \(p\), for which sequences of the form ct[\(P^nQ\)] mod \(p\), where \(P\) is a symmetric trinomial, are uniformly recurrent.
The Automatic Study of Constant Term Sequences Modulo Prime Powers
Published in ProQuest, 2025
This is my PhD dissertation! The first three chapters provide exposition on automatic sequences, and the fourth chapter contains all of my research results.
Density and Symmetry in the Generalized Motzkin Numbers Modulo \(p\)
Published in Integers, 2026
In this paper, we prove some symmetries in the generalized central trinomial coefficients and generalized motzkin numbers, and then use these to characterize when these sequences are divisible by primes.
talks
Talk 1 on Relevant Topic in Your Field
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
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Teaching experience 2
Workshop, University 1, Department, 2015
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