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

- Experimenting with Permutation Wordle [Paper] [Maple code]
-- Rutgers Experimental Math Seminar, May 2025: [Video Recording (starting at 25:40)][Slides]
- Repetition in Permutation Wordle [Paper] [Maple code]
-- Graduate Student Combinatorics Conference, March 2026: [Slides]

Course Projects:
- Statistics of the English Language (S24) [Paper] [Maple code] [ENGLISH.txt]
- Implementing Gabow's Algorithm (S25) [Paper] [Maple code]

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

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