About Me
I am a mathematician specializing in discrete structures, combinatorics, and linear algebra. My current research is focused on relating graph structure and spectra to transient and asymptotic behavior of random walks. My other research interests are quantum walks, spectral methods of graph clustering and partitioning, and spectral sparsification of graphs.
I am currently employed as a systems engineer at Raytheon Technologies, where I develop sensors (radar).
Interests
- Spectral Graph Theory
- Stochastic Models
- Network Theory
Education
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BS in Mathematics, April 2022
Brigham Young University
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High School Diploma, 2016
Central High School
Recent Publications
(2023).
A Nordhaus-Gaddum type problem for the normalized Laplacian spectrum and graph Cheeger constant.
arXiv.
(2023).
Kemeny's constant for nonbacktracking random walks.
Random Struct. Algorithms.
(2021).
A 1-separation formula for the graph Kemeny constant and Braess edges.
J. Math Chem.
Projects
Analysis of references between the canonical works of the Church of Jesus
Christ of Latter-Day Saints.
Agent-based model delivered to the BYU Department of Biology to help make inferences about the spread of SARS-CoV-2 among students.
Experience
System Engineer
Research Assistant
Collaborated with other students and experts in spectral graph theory on
several projects. Published three articles and presented results at
several conferences.
Research Assistant
Collaborated with Brigham Young University’s human centered machine
intelligence team to deliver an agent-based graph model of the spread of
COVID-19 to the biology department of BYU.
Teacher’s Assistant
Graded coursework, created online course content, and helped students
understand and master material for multivariable calculus.
Resident Assistant
Ensured security and safety of on-campus housing and took responsibility
for the physical and mental well-being of 40 other students. Helped plan,
direct, and coordinate multiple activies for university students.
Skills
Python
Julia
Data Analysis
Linux
C/C++
Java