Research Experience

• Independent Study - Verification of Reciprocity Laws, Spring 2024
  • Advisor: Professor David Grant
• Interactive Pedagogy, Fall 2024.
  • Aim: Create interactive talks aimed at undergraduates.
  • Advisor: Dr. Emily Montelius
• Gallery of Theorems, Spring 2024
  • Aim: Represent mathematical concepts using artistic mediums
  • Further developed Numberscope visualizer to increase functionality
  • Advisor: Professor Sarah Peterson
• Independent Study - Parameterizations of Descartes Quadruples, Fall 2023
  • Developed honors thesis on Descartes quadruples of Apollonian circle packings
  • Advisors: Professor Kate Stange and Professor James Rickards
• CU Boulder REU - Apollonian Circle Packings, Summer 2023
  • Disproved the Local-Global Conjecture for Apollonian Circle Packings
  • Preprint led to an article in Quanta Magazine
  • Advisors: Professor Kate Stange and Professor James Rickards
• Honors Independent Study - Elliptic Curves, Spring 2023
  • Reading course over Rational Points on Elliptic Curves, Silverman & Tate
  • Advisor: Professor David Grant
• Numberscope - Research Assistant & Developer, Fall 2022
  • Programmed visualizer that represents Collatz length of the values of a user-selected sequence from the OEIS using a scaled color gradient and a modular-controlled array.
  • Developed the Numberscope website to provide and improve user experience.
  • A collage I made using screenshots of my visualizer won the 2023 CU Arts & Sciences art contest!
  • Advisor: Professor Kate Stange
• Independent Study - Quadratic Reciprocity, Fall 2021
  • Reading course over An Introduction to the Theory of Numbers, Niven, Zuckerman, & Montgomery
  • Final presentation slides
  • Advisor: Professor Paul Hagelstein