PRIMES Circle Papers

2022 Papers

Zoe Awa & Ankita Varigonda	Game Theory	Mentor: Yuyuan Luo
Elena Baskakova & Alice He	Probability theory: Why You Are Falsely Convicted, Lonely, and in Debt	Mentor: Jeremy Smithline
Sebastian Cuervo & Ben Stokes	Triangles in Various Geometries	Mentor: Paige Dote
Crystal Egbunike & Wintana Tewolde	Graph Theory and Its Applications	Mentor: Victor Chu
Ling (Esther) Fu & Sarah Pan	The Busy Beaver Problem	Mentor: Alexandra Hoey
Jessica Guo & Audrey Wei	NP-Completeness	Mentor: Kerri Lu
Sophia Hou & Jaeyi Song	Group Theory	Mentor: Merrick Cai
Maya Koreth & Dania Rustom	Number Theory and Divisibility Issues	Mentor: Ariana Park
Pete Olhava & Alexander Gil Osorio	An Introduction to Knot Theory	Mentor: Preston Cranford
Gracie Sheng	On the Classification of Finite Simple Groups	Mentor: Gabrielle Kaili-May Liu
Zoe Siegelnickel & Palak Yadav	Algorithm Analysis	Mentor: John Shackleton
Daniela Yablon & Ayelet Yablon	Introduction to Cryptography	Mentor: Aparna Gupte
Evelyn Zhu	Symmetric Groups	Mentor: Gabrielle Kaili-May Liu

2021 Papers

Isha Agarwal & Minseo Kim	DP-3T: Ensuring Cryptographic Security and Privacy In COVID-19 Contact Tracing	Mentor: Talia Blum
Xavier Choe & Garima Rastogi	Number Fields and Galois Theory	Mentor: Merrick Cai
Ephram Chun	Applications of Combinatorial Algorithms for Graph Traversal and Efficiency	Mentor: Jung Soo (Victor) Chu
Seo Yeon (Gloria) Chun & Alicia Li	The Post Correspondence Problem	Mentor: Alexandra Hoey
Dimitar Dimitrov & Isaac Patterson	Invariants in Knot Theory	Mentor: Preston Cranford
Tanvi Ganapathy	Wallpaper Groups: Alhambra, Escher and Symmetries	Mentor: Kaili Liu
Iris Heikkinen	Graph Theory and the Six Degrees of Separation	Mentor: Bex Nelson
Neil Jin & Apurva Varigonda	Graph Theory and the Optimization of City Infrastructure	Mentor: Rachana Madhukara
Kien Lau & Andrew Zeng	Models from Introductory Probability	Mentor: Jordan Benson
Lisa Liu	On the Classification of Tarski Monsters	Mentor: Kaili Liu
Duy Pham	Enumerative Combinatoric Paper	Mentor: Peter Haine
Anusha Senapati	A Graph Theory Based Proposal for the Analysis of the RNA Processing Pathway in COVID-19 Disease Pathology	Mentor: Bex Nelson
Saniya Srivastava & Heidi Zhang	Modeling Altruism in Evolutionary Biology Using Game Theory	Mentor: Ariana Park
Jennifer Yuan & Shreya Sinha	Game Theory	Mentor: Katie Gravel

2020 Papers

William Ayinon	Knot Theory and DNA	Mentor: Kenneth Cox
Kaylee Chen & Alice Zhou	Game Theory	Mentor: Marisa Gaetz
Anya Ditkoff & Arshia Verma	Random Variables	Mentor: Natasha Ter-Saakov
Diego Luca González Gauss & Anthony Zhao	Dynamic Programming and Applications	Mentor: Jung Soo (Victor) Chu
Jessica He & Joaquin Pischner Gutierrez)	On group automorphisms	Mentor: Zhuofan Xie
Akhil Kammila & Anshul Rastogi	Curve-Shortening Flow	Mentor: Bernardo Hernández Adame
Benjamin Ratin	Surfaces in Knot Theory	Mentor: Kenneth Cox
Henry Serrano-Wu & Divya Rajaraman	Introduction to graph theory	Mentor: Agustín García
Zoe Shleifer & Elena Su	Pythagorean Triples mod p	Mentor: Maya Sankar

2019 Papers

Tal Berdichevsky & Corinne Mulvey	Graph theory	Mentor: Agustín García
Ishita Goluguri & Christina Li	Applications of Group Actions	Mentor: Maya Sankar
Ildi Hoxhallari & Brian Kubinec	Introductory Probability Theory	Mentor: Daniel León Jiménez
Michelle Li & Ella Serrano-Wu	Combinatorics	Mentor: Uma Roy
Joy Lim & Eve Martin	The Application of Knot Theory to Models in Biology and Physics	Mentor: Radha Mastandrea
Sofia Mrowka, Elizabeth Zhong, & Natasa Zupanski	Game Theory	Mentor: Marisa Gaetz