Aurora Hiveley

I am currently a PhD candidate in the Department of Mathematics at Rutgers University where I work under Dr. Doron Zeilberger. My research interests include combinatorics and graph theory, and more specifically experimental mathematics (i.e., using computers to do math). Previously, I graduated from Macalester College with majors in Mathematics and Physics with an Astronomy Emphasis.

Email: aurora[dot]hiveley[at]rutgers[dot]edu

Research

Papers and Code:
- Repetition in Permutation Wordle [Paper] [arXiv] [Maple code]
- Experimenting with Permutation Wordle [Paper] [arXiv] [Maple code]

Presented Talks:
- MAA MathFest, 8/5/2026. "Analyzing Permutation Wordle" [Slides Coming Soon]
- Graduate Student Combinatorics Conference, 3/27/2026. "Analyzing Permutation Wordle" [Slides]
- Rutgers Experimental Mathematics Seminar, 5/1/2025. "Experimenting with Permutation Wordle" [Slides]

Undergraduate Research:
- Honors Thesis (Mathematics)
- Physics Capstone

Projects

Experimental Mathematics Course Projects:
- Statistics of Standard Young Tableaux Using Greene-Nijenhuis-Wilf Algorithm (S26) [Paper] [Maple code] [Slides]
- Implementing Gabow's Algorithm (S25) [Paper] [Maple code]
- Statistics of the English Language (S24) [Paper] [Maple code] [ENGLISH.txt]

Other Course Projects:
- Modeling "The Smile" (Erdos Institute Quantitative Finance Bootcamp, Summer 2026) [GitHub Repository]

Undergraduate Projects:
- Gem Hunt
- Exoplanet Transits

Rutgers Quals

Buyer beware! These are my personal solutions from my time studying for written exams. Correctness and completeness may vary. External credit is given, when appropriate.

Algebra

Written Exam Solutions (F14-S24)

Real Analysis

Written Exam Solutions (F14-S25)

See also: solution checklist template

Oral Qual

-Oral Qual Syllabus
-Graph Algorithm Implementation