Previous Undergraduate Projects
1) Data Compression
Students: Jacqueline Aguirre, Atonio Thomas, Rongzhong Ye
Graduate student mentor: Isaac Tate
2) LEAN on Me
Students: Jason Palos, Sudhir Murthy, Jordan Guillory, Ruiyu Shen
Graduate student mentor: Chris Grossack
3) Menger Sponge
Students: Racheal Amanda Adeneye, Carlos lopez, Darius Mahamedi
Graduate student mentor: Will Hoffer
4) Mathematical Modeling of Breast Cancer
Students: Batool Abdaljawad, Madeleine Haddad, Keng Lam, Alan Tran
Graduate student mentor: James Le
1) Cops and Robbers on Graphs
Students: Xinming Liu, Kenneth Salce, John Shin, Melisa Zhang Ren
Graduate student mentor: Raymond Matson
2) Distinguishing Knots
Students: Emily Garcia, Madeleine Haddad, Rudy Mendoza, HaoYu Sun
Graduate student mentor: Jacob Garcia
3) An Expansion of the Exploration of the Card Game Memory
Students: Hale Chiba, Yanwei Feng, Kali Krishnan, Max Slagle-Skalka
Graduate student mentor: Isaac Tate
4) Latin Squares, Species, and Derangements
Students: Haifan Deng, Cindy Miao, Jiayi Shen, Lei Zhang
Graduate student mentor: George Santellano
1) The Koch Snowflake
Students: Robert Giangregorio, Alicia Leyba, Ethan Nowaski
Graduate student mentors: Therese-Marie Landry
2) Fractions, Continued: A Look at Continued Fractions
Students: Jacob Argandona, Nina Huynh, Juan Orellana Hernandez, Rene Rangel, Ubaldo Vasquez Velasquez
Graduate student mentors: Michael McNulty and Nicholas Newsome
3) An Exploration of the Card Game Memory
Students: Anthony Cisneros, Daniel Dorantes Valdez, Raul Reza, Chase Wilson, Emerald Win
Graduate student mentors: Robert Lopez and Isaac Tate
1) Persistent Homology
Students: Joshua Bocanegra, Christopher Chebat, Daniel Dorantes Valdez, Btissam Kadiri, Edger Giovanni Lepe, Rhiann Zhang
Graduate student mentors: Jade Master and Michael Pierce
2) Finite Graph Approximation and Fractals / Gromov-Hausforff distance
Students: Kevin Del Rio Ramos, Trinh Le, Junwen Lio, Josiah Wallis, Chase Wilson
Graduate student mentors: Therese-MarieLandry and Dane Lawhorne
3) Math Structures of Skateboarding
Students: Anthony Cisneros, Quyen Do, Samuel Happach, Qianyan Kuang, Elena Rodriguez Chavez
Graduate student mentors: Gabriel Elvin and Gregory McNulty
4) Snake Oil and Species
Students: Ricardo Acuna, Caitlin De La Torre, Chenxi Jiang, Sadaf Kadir, Miguel Oh
Graduate student mentors: Ethan Kowalenko and Joseph Moeller
Students: Kevin Del Real Ramos, Btissam Kadiri, Omar Larios, Elliot Ling, Sofia Martinez Alberga
Graduate Student Mentors: Jonathan Alcaraz & Ethan Kowalenko
2) DisCoCat: A Monoidal Translation between English and Spanish
Students: Ricardo Acuna, Alicia Becerra Romero, Christopher Chebat, Jesse Luna-Mendoza, Trevor Smith
Graduate Student Mentors: Jade Master & Christian Williams
3) Lattice in Wonderland: an LLL Optimization Problem
Students: Antonio Gonzalez, Yu Huang, Sara Khattab, Junwen Liao, Abdullah Majmundar
Graduate Student Mentors: Justin Davis & Edward Voskanian
4) Poké-Nomials
Students: Esli Brito Delgado, Neima Ghandian, Timothy Jung, Monica Rico, Yibiao Ruan
Graduate Student Mentors: Gabriel Elvin & Maranda Smith
1) Generalizing Buffon's Needle: An Investigation in Geometric Probability
Students: James Alcala, Christopher Kirchgraber, John Palacios, and Alexander Wang
Graduate Student Mentors: Bryan Carillo and Adam Yassine
2) Help! A Robber's on the Loose!
Students: Daniel Garcia, Scott James, Sofia Martinez, Jasmine Morales, and Monica Rico
Graduate Student Mentors: Ryan Moruzzi and Kayla Murray
3) The Machines...They're Getting Smarter
Students: Brenda Bravo, Noah Lax, Amber McKeough, Eva-Christin Schwesig, and Steven Yang
Graduate Student Mentors: Daniel Cicala and Brandon Coya
4) The Shape and Symmetry of Posets
Students: Paige Helms, Rayanatou Keita, Adrian McGregor, Daniel Melendez, and Siyi Zhan
Graduate Student Mentors: Dane Lawhorne and Dylan Noack
5) Random Walking: Ants to Electrons
Students: Osvelia Arevalo, Belle Chang, Kelly Fang, Neima Ghandian, and Brian Tran
Graduate Student Mentors: Christina Knox and Tim McEldowney
1) Baking a Better π
Students: Brittany Besnyl, Savannah Sprague, Isaac Tate, Trang Tran
Graduate Student Mentors: Alexander M. Henderson and Edward Voskanian
2) Counting with Symmetries
Students: Clarisse Bonand, Reid Booth, Amber McKeough, Ethan Rooke
Graduate Student Mentors: Ethan Kowalenko and Xavier Ramos
3) Outbreak! Modeling the Ebola Epidemic
Students: Jamie Madrigal, Emily Ortego, Jennifer Rangel Ambriz, Alysha Toomey, Andrew Whitaker
Graduate Student Mentors: Jolene Britton and Samuel Britton
4) Professor X's Mutations of Quivers
Students: James Alcala, Fabian Gutierrez, Bradley Leske, Michael Morales, Pilar Orellana
Graduate Student Mentors: Justin Davis and Ryan Moruzzi
5) Zebras Lurking in...a Matrix!
Students: Sungjoo Kim, Bryan Lei, Brian Tran, Cynthia Wen
Graduate Student Mentors: Joe Moeller and John Simanyi
1) An Exploration of Dimension
Students: Ivan Alvarez-Rosario, Matthew Burns, Santiago Echeverria, Serwoo Lim, Emilie Naples
Graduate Student Mentors: Andrea Arauza and Brandon Coya
2) Classifications of Perfect Numbers
Students: Jonathan Alcaraz, Sarah Belknap, Rubelio Berganza, Brianna Chew, Carlos Figureoa-Arroyo
Graduate Student Mentors: Kyle Castro and Alex Sherbetjian
Students: Kenneth Caluya, Guadalupe Gonzalez, Elias Sanchez, Rafid Sikder, Mahalet Tilahun, Joseph Tran
Graduate Student Mentors: Mikahl Banwarth-Kuhn and Kevin Tsai
3) The Chicken Nugget Problem and Numerical Semigroups
Students: Roshan Akula, Clarisse Bonand, Reid Booth, Carina Kaainoa, Ethan Rooke
Graduate Student Mentors: James Ogaja and Andrew Walker
Students: M. Burns, S. Echeverria, J. Oh, M. Reynolds
Graduate Student Mentors: Jordan Tousignant, Andrew Walker
Students: N. Cortez, A. Matrinez, J. Mota, J. Westcott
Graduate Student Mentors: Tim Cobler, Scott Roby
3) Fractals in Nature and Iterated Function Systems
Students: J. Moeller, N. Roode, R. Sikder, R. Torres
Graduate Student Mentors: Andrea Arauza, Frank Kloster, Priyanka Rajan
Students: J. Alcaraz, C. Figueroa, E. Lopez, R. Sanchez
Graduate Student Mentors: Donna Blanton, Matthew O'Dell
1) Categories
Students: Joe Moeller, Brian Dong, Michel Manrique
Graduate Student Mentors: Jason Erbele, Franciscus Rebro
2) Polyominoes
Students: Jennifer Avila Cerros, Diana Gerardo, Gerardo Orozco-Fernandez
Graduate Student Mentors: Matt Lee, Nick Woods
Graduate Student Mentors: Thomas Schellhous and Sean Watson
Graduate Student Mentors: Jesse Benavides, Oliver Thistlethwaite, and Parker Williams
Graduate Student Mentors: Peri Shereen, Jeffrey Wand
1) Voting Theory: Voting Systems and their Dimensions
Students: Lauren Boyd, David Matsumoto, Kirols Nashed
Graduate Student Mentors: Peri Shereen, Jeffrey Wand
2) Image Processing: Rectangle Detection
Students: Kenneth Flag, Jennifer Fairbrother, Min Kim
Graduate Student Mentors: Lisa Schneider, Parker Williams
3) Number Theory: Distribution of Gaussian Primes
Students: Melina Fuentes, Michel Manrique
Graduate Student Mentors: John Dusel, Jason Erbele
4) Applications of Catalan Numbers
Students: Will Coates, Jerry Emidih, Ben Vaughan
Graduate Student Mentors: Matt Lee, Matt O'Dell