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I am a PhD candidate in mathematics at the University of Vermont, advised by Professor Puck Rombach. I recieved my Bachelors in 2017 in Mathematics and English. For a year, I taught middle school English language courses near Nantes, France. Over the course of my PhD, I have been a graduate student instructor, a graduate research assistant, and now a graduate fellow for the Vermont Space Grant Consortium.

My research primarily concerns graph theory, including extremal and algebraic problems, though I do some matroid theory too.

CV (PDF)»

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Free Palestine

I stand against the ongoing genocide of the Palestinian people and against apartheid in all of its current forms.

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Publications & Preprints

On odd covers of cliques and disjoint unions with Alexander Clifton, Eric Culver, Péter Frankl, Jiaxi Nie, Kenta Ozeki, Puck Rombach, and Mei Yin; arXiv:2408.08598, 2024.

Tropical Geometry of Rado Matroids with Rick Danner; Discrete Math. Lett., 14:27-30, 2024.

Trail Trap: a variant of Partizan Edge Geography with MacKenzie Carr, Alexander Clifton, Stephen G. Hartke, Vesna Iršič, Nicholas Sieger, and Rebecca Whitman; arXiv:2405.05195, 2024.

A lower bound on the saturation number and a strengthening for triangle-free graphs with Puck Rombach; arXiv:2402.11387, 2024.

Node Placement to Maximize Reliability of a Communication Network with Application to Satellite Swarms with James Bagrow, Puck Rombach, and Hamid Ossareh; in 2023 IEEE International Conference on Systems, Man, and Cybernetics (SMC).

Toughness of recursively partitionable graphs with Brandon Du Preez, K. E. Perry, and Puck Rombach; Theory Appl. Graphs, Vol. 10: Iss. 2, Article 4, 2023.

Path odd-covers of graphs with Steffen Borgwardt, Eric Culver, Bryce Frederickson, Puck Rombach, and Youngho Yoo; arXiv:2306.06487, 2023.

Odd covers of graphs with Alexander Clifton, Eric Culver, Jiaxi Nie, Jason O'Neill, Puck Rombach, and Mei Yin; J. Graph Theory, 2023.

On the last new vertex visited by a random walk in a directed graph with Paul Horn and Puck Rombach; Discrete Math. Lett., 11:96-98, 2023.

Subgraph complementation and minimum rank with Christopher Purcell and Puck Rombach; Electr. J. Comb., 29(1), 2022.

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Talks & Posters

List of talks I've given

Slides on saturation, semisaturation, and rainbow saturation numbers of double stars, for the 2025 AMS Spring Eastern Sectional Meeting

Slides on the last new vertex visited by a random walk in a directed graph, for the 2023 Southern Africa Mathematical Sciences Association Annual Conference

Slides on subgraph complementation and minimum rank, and a poster for the 2021 NE Combinatorics Network KLATCH

Poster on odd covers of graphs for the 2022 Discrete Math Days

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Workshops

Emléktábla 15th Emléktábla Workshop in Vác, Hungary, July 2024. I participated in the Extremal combinatorics group.

MASI Masamu Advanced Study Institute and Workshops (virtual in 2020 and 2021, Pretoria, South Africa in 2023). I participated each time in the graph theory work group, meeting wonderful people and finding good problems to work on. The 2020 and 2021 workshops lead to the papers Toughness of recursively partitionable graphs and On the last new vertex visited by a random walk in a directed graph. A project from the 2023 workshop is underway.

GRWC Graduate Research Workshop in Combinatorics (virtual in 2021, Denver, CO in 2022). I had the pleasure of working on a number of problems suggested by my fellow graduate students and of leading working groups on odd covers of graphs with bicliques in 2021 and on odd covers with paths and cycles in 2022.

SIAM MPI Mathematical Problems in Industry Workshop, hosted by SIAM and the University of Vermont in 2024. I worked on an algorithm to match mentors with mentees for the Grad Leveraging Engaged Alumni Program at University of Delaware.

• Technical report: One Algorithm to Rule Them All with N. Brown, N. Chicoine, B. Emerick, A. Emmanuel, C. Hammond, K. Oluwasegun, O. Pomerenk, L. Schneegans, and H. Taboe. Mathematics in Industry Reports (submitted April 2025).

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Teaching

Math1212 Fundamentals of Calculus I (Fall 2019, 2020, 2021)

• Lesson plans: an intuitive approach to calculating Riemann sums and integration by substitution

Math1077 Exploring Modern Mathematics (Spring 2020, 2021, 2024)

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Outreach

Lessons designed to make combinatorics acccessible to a large audience.

Lights Out Can you turn off all the lights? Exercises range from simple to challenging.

Eventown and Oddtown How many (odd/even) clubs can we form if any two clubs must share an even number of people?

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Links

Youtube lectures Video lectures from Spring 2020 Math017 Applications of Finite Math.

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Awards and Honors

Nam Sang Kil Scholarship in Mathematics UVM (2023)

GTA Graduate Teaching Assistant of the Year, Lecture Instruction Category, UVM (2021)

Kenney John F. Kenney Award for excellence in mathematics, UVM (2021)

AMS American Mathematical Society Travel Grant, Joint Mathematics Meetings (Virtual 2021, San Francisco 2024)

Phi Beta Kappa Alpha of Vermont, UVM (2017)

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Contact

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