Fifteenth Annual Spring-Term PRIMES Conference, May 18, 2025
Sunday, May 18

Mathematics
9:45 am: Welcoming Remarks
- Prof. Pavel Etingof, PRIMES Chief Research Advisor
- Dr. Slava Gerovitch, PRIMES Program Director
- Marisa Gaetz and Mary Stelow, PRIMES Circle coordinators

10:00-10:45 am: Session 1: PRIMES Circle
- David Moon and Brian Huang, “Polyhedra and Euler Characteristics” (mentor Luis Modes) (slides)
- Brian Pan, Daniel Wang, and Nathan Nie, “An Introduction to Spectral Graph Theory” (mentor George Shaker) (slides)
- Salma Jama and Fantice Lin, “Donuts in Different Dimensions” (mentor Ezra Guerrero) (slides)


10:55-11:55 am: Session 2: PRIMES Circle
- Auden Nash and Daniil Sheenko, “Periodicity of S-Pick Up Bricks” (mentor Honglin Zhu) (slides)
- Boston Bulis, Kyra Burke, and Lee Van Voorhis, “Number Theory” (mentor Sam Packman) (slides)
- Joseph Kasongo and Jordan Lin, “Why Your Friends are More Popular than You (Statistically Speaking)” (mentor Kai Edick) (slides)
- Marko Mano, Kalle Nikula-Gill, and Derek Yin, “Dynamical Systems and Chaos Theory” (mentor Sean Li) (slides)


12:05-1:00 pm: Session 3: Math Research and PRIMES STEP
- Evin Liang, “Cubics in Euclidean Geometry” (mentor Dr. Tanya Khovanova) (slides)
- Dillan Agrawal, Selena Ge, Jate Greene, Dohun Kim, Rajarshi Mandal, Tanish Parida, Anirudh Pulugurtha, Gordon Redwine, Soham Samanta, and Albert Xu (PRIMES STEP Senior group), “Chip-Firing on Infinite k-ary Trees” (mentor Dr. Tanya Khovanova) (slides)
- Eric Huang, Timur Kilybayev, Ryan Li, Brandon Ni, Leone Seidel, Samarth Sharma, Vivek Varanasi, Alice Sien Yin, Boya Yun, William Zelevinsky (PRIMES STEP Junior group), “Playing Your Cards Right: The Art of Josephus Dealing” (mentor Dr. Tanya Khovanova) (slides)



2:00-3:00 pm: Session 4: PRIMES Circle
- Sage Kramer, Runxuan Lin, and Anna Lu, “Set Theory and Logic” (mentor Zoe Xi) (slides)
- Leena Bhandari Cordoba and Sofia Bhandari Cordoba, “Number Theory: the Difference Game” (mentor Amy He) (slides)
- Celina Hwang, Lena Lee, and Emma Liu, “Algorithmic Exploration in Graph Theory” (mentor Julia Kozak) (slides)
- Jianing Huang and Sylvia Lee, “Introduction to Group and Ring Theory: The Foundations of Algebraic Structures” (mentor June Kayath) (slides)


3:10-3:55 pm: Session 5: PRIMES Circle
- Hannah Ahn and Carolena Douglas, “Pick’s Theorem: How to Calculate the Area of a Polygon” (mentor Katherine Tung) (slides)
- Shamini Biju, Sherri Wu, and ZZ Zhang, “Understanding the Basics of the Theory of Computation” (mentor Katherine Taylor) (slides)
- Penelope Newsome and Amarachi Okeke, “Knot Theory” (mentor Sabine Chu) (slides)


Computer Science
4:15-5:00 pm: Session 6: Computer Science Research
- Coleman DuPlessie, “Characterizing Interpretable Features of Reinforcement Learning Models” (mentor Andrew Gritsevskiy, University of Wisconsin-Madison) (slides)
- Shreyas Ekanathan, “A Fully Adaptive Radau Method to Efficiently Solve Stiff Ordinary Differential Equations” (mentor Dr. Chris Rackauckas) (slides)
- Govind Velamoor, “System-wide Timeout Strategies” (mentor Prof. Raja Sambasivan, Tufts University) (slides)


Contact
With questions, contact PRIMES Program Director Slava Gerovitch at