PRIMES Circle Papers
2024 Papers
| Aleah He, Bhavika Kalia, and Laurelyn Newsome | Seifert Surfaces | Mentor: Carlos Alvarado |
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| Nahum Linhart and Neel Chattopadhyay | Diophantine Equations | Mentor: George Shaker |
| Joshua Pité And Yiying Zhong | The RSA Cryptosystem | Mentor: Honglin Zhu |
| Olivia Chen and Natalie Han | The Math Behind "Spot It!" | Mentor: Katherine Tung |
| Ayla Lin, Vedika Soneji, and Kelsey Liu | Intersecting Parallel Lines: Projective Geometry and its Applications | Mentor: Luis Modes |
| Nina Lee and Yurie Lee | Introduction to Probability | Mentor: Maggie Lin |
| Ladia Khaing and Ada Kilian | Incidences between Points and Lines | Mentor: Paige Bright |
| Tanesha Nixel | Game Theory | Mentor: Sam A Packman |
| Quinten Jin and Emre Kocaman | Combinatorics: An Exploration of Counting Principles and Their Applications | Mentor: Sean Li |
| Ivy Yao and Julia Zhou | Extremal Graph Theory and the Shifting Method | Mentor: Tomasz Slusarczyk |
| Nairi Davidian and Winnie Gong | Knot Theory: Genus | Mentor: Yuyuan Luo |
| Larine Ouyang, Bang Tam Ngo, and Irene Choi | Classification of Cyclic Subgroups with the Fundamental Theorem of Cyclic Groups | Mentor: Zhao Yu Ma |
| Ronni Chang and Paige Zhu | Introduction to Computation Theory | Mentor: Zoe Xi |
2023 Papers
| Adrian Baez & Danielle Harrington | The Theory of Types for Sums of Normal-Play Games | Mentor: Yuyuan Luo |
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| Ryan Chao & Yakir Propp | An Introduction to the Theory of Computation | Mentor: Zhao Yu Ma |
| Sophia Heinrich & Lucy O’Brien | Introductory Combinatorics and Its Applications | Mentor: Lily Chen |
| Chahat Kalia & Cynthia Tian | Stirling Numbers of the Second Kind | Mentor: Paige Dote |
| Yuxian “Iris” Liu, Bella Qu, & Niyathi Srinivasan | Applications Of Probability | Mentor: Lexi Spinetta |
| Lillian Macarthur | Classifying Isometries | Mentor: Honglin Zhu |
| Elian Martinez & Jorge Sanchez Barrientos | Numbers, Colors, and Knots | Mentor: Luis Modes |
| Emmanuel Mateo & Jonathan Nguyen | Navigating the Network: Real-Life Applications of Graph Traversal Algorithms | Mentor: Lexy Zitzmann |
| Gael Medina & Matheus Moreira | Data Structures and Graph Algorithms | Mentor: Carlos Alvarado |
| Veronika Moroz, Ada Tsui, & Athena Wang | Combinatorics and Representation Theory | Mentor: Katherine Tung |
| Niva Sethi | Finite and Sporadic Groups | Mentor: Kaili Liu |
| Liubov Slesarenko & Chloe Zhong | Introduction to Cryptography | Mentor: Aparna Gupte |
| Cathal Stephens & Roonak Thapa | Number Theory: Introduction to Euler’s Totient Function | Mentor: Ariana Park |
| Sophia-Gisela Strey | Geometric Approach to Investigating Properties of Tarski Groups | Mentor: Kaili Liu |
| Angela Zhao | A Brief Survey on Wallpaper Groups | Mentor: Kaili Liu |
2022 Papers
| Zoe Awa & Ankita Varigonda | Game Theory | Mentor: Yuyuan Luo |
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| 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
2020 Papers
| William Ayinon | Knot Theory and DNA | Mentor: Kenneth Cox |
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| 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 |
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| 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 |