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.
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.
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.
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.
Published in Cryptology ePrint Archive, 2026
In this paper, we provide a construction for recursively nesting MuSig2-aggregated signing keys within instances of MuSig2 and prove the security of this construction.
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.
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.
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.