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Research Projects

Faculty Mentored Research Projects

  • 2023 Research Projects


    Analyzing Mathematical Teaching Methods Using Poisson Processes - Adam Gonzales, Evelyn Li, Jason Li, Melissa Li, Avaneesh Parasnis, Maggie Yuan. Mentored by Alex White

    Producing Socially Relevant Cuts Using Social Balance Theory As An Alternative To Spectral Clustering - Brandon Peng, Joyce Qu, William Dai, Carolyn Lu, Michelle Huang, Benjamin Lu, Ethan Yang, Kevin Han. Mentored by Lucas Rusnak

    Puzzles, Trianguloids, and Flips - Shreev Goyal, Thalia Kahozi, Yunwoo Kim, Katherine Liu. Mentored by Suho Oh

    A Study on Minimal and Superminimal Prime Graphs - David Hovey, Joshua Kou, Ram Sivaraman, Emma Wu. Mentored by Thomas Keller

    Irreducible Polynomials in Dynamical Systems - Reiyah Jacobs, Benjamin Keller, Albert Kim, Aaron Zhou. Mentored by Wade Hindes

    Tackling Biases in Machine Learning - Zaina Ali, Adriana Cheng, Emma Dong, Jessie Wang, Meiting Yang, Allison Yao. Mentored by Ivan Ojeda-Ruiz

    Estimation of Genetic Heritability - Elizabeth Lei, Olivia Bley, Yury Guardado Iglesias, Andy Zhou. Mentored by Xiaoxi Shen

    Incorporation Fairness Constraints into Spectral Clustering - Jason Cheng, Elaine Wu, Joseph Zhang. Mentored by Young Ju Lee and Ivan Ojeda-Ruiz

    Analysis of Artificial Intelligence Processes in Games Utilizing Fake Multiplayer - Susan Hamiltom, Cameron Hong, Angela Yue. Mentored by Nathan Warshauer

    Investigating the Use and Understanding of Spatial and Quantitative Coordinate Systems in STEM Fields - Anjani Malhotra and Julia Trevino. Mentored by Hwa Young Lee

  • 2022 Research Projects


    1. Data Encryption and Compression in Tandem - Shreev Goyal, Amy He. Mentored by Dan Tamir

    2. The Function of Bezier Curve Graphing, Convex Hulling, and Slicing for an End-to-End 3D to 3DS Application - Hanna Kenyatta, Brayden Mi, Ethan Yang. Mentored by Dan Tamir

    3. Combining Perception Considerations with Artificial Intelligence to Combat Bot User Interface - Kevin Han, Evan Lai, Angela Yue. Mentored by Dan Tamir

    4. Comparative Analysis of Methods to Verify Distributed AI Systems - Zaina Ali, Julia Ding, Aedin Pereira, William Wang. Mentored by Rodion Podorozhny

    5. Evaluation of Machine Learning Methods for Video-based Exercise Tracking - Amy Chang, Jorik Dammann, Susan Hamilton, Angelina Richter. Mentored by Vangelis Metsis

    6. Generalizing Vizing's Theorem for Hypergraphs - Georgia Bukata, Rebeca De La Garza, Alicia Lin, Alissa Shen, Klarissa Tey. Mentored by Tim Chase

    7. Irreducible Polynomials in Quadratic Semigroups - Reiyah Jacobs, Peter ye. Mentored by Wade Hindes

    8. Investigating the Understanding of Spatial and Quantitative Coordinate Systems in Various Fields - Anjani Malhorta, Katie Murphy, Julia Trevino. Mentored by Hwa Young Lee

    9. Identifying a Distance Metric that Maximizes Interrater Reliability - Anant Asthana, Carolyn Lu, Jose Maria Salvador, Elaine Wu. Mentored by Alex White

    10. Proving a Homeomorphism between th Spaces of Boundary marked Points on the Unit Disk and Planar Rooted Metric Trees - Alice Guo, August Warshauer, Christopher Qui. Mentored by Hiro Lee Tanaka

    11. Image Segmentation Using Constrained Normalized Cut Algorithm - Samuel Salter, Kayley Sze. Mentored by Young Ju Lee

    12. Analyzing Methylation Patterns in Breast Cancer and Endometrial Cancer - Juhi Pandit, Brandon Peng, Jackson Zane, Alice Zhong. Mentored by Shuying Sun

    13. Bracket Form Parabolic Coset Structures of Bruhat Intervals - Tina Li, Grace Yan, Kimberly You. Mentored by Suho Oh

    14. A Novel Spatiotemporal Epidemiological Networking Resilience Model for COVID-19 - William Dai, Aaron Guo, Russell Li, Joyce Qu, Charles Sun, Sophia Zhong. Mentored by Lucas Rusnak

  • 2021 Research Projects

    1. Stanley's Conjecture for Triconed Graphs - Jacob David, Pierce Lai, Christopher Wu. Mentored by Suho Oh

    2. Studies on Spatio-Temporal Patterns of COVID-19 Pandemicin United States using DMD - Amy Chang, Katie Murphy, Ayush Suresh, Richard Zheng. Mentored by Young Ju Lee

    3. How Novices Summarize and Explain the Key Ideas ofAnalysis Proofs - Angela Landry, Mary Lee. Mentored by Kate Melhuish and Michael Hicks

    4. Using Process Mining Techniques on Classroom Data -Sabrina Hu, Bibiane Kan, Hanna Kenyatta, Reiyah Jacobs, Juhi Pandit, Aaron Piando, Cynthia Zhang. Mentored by Kate Melhuish

    5. Minimal Prime Graphs of Solvable Groups: Properties, SizeBounds, and Generalizations - Jael Dammann, Ethan Liu, Christopher Qiu, Devan Shah. Mentored by Thomas Keller

    6. Exploration of Topological Implications of Asymmetric 2 -Colorings of Graphs - Rebeca De La Garza, Alicia Lin, Klarissa Tey. Mentored by Tim Chase

    7. An Exploration of the Jones Polynomial in Knot Theory -Zaina Ali, Corona Chen, Sophie Cui, Jasmine Wang. Mentored by Tim Chase

    8. Generalizations of the Tutte Polynomial - Alice Guo, Andy Jiang, Oliver Kahn, Rich Wang. Mentored by Lucas Rusnak

    9. Scientific Workflows - Jonathan Liu, Samuel Salter. Mentored by Rodion Podorozhny

    10. Generalizing Kirchhoff Laws for Hypergraphs - Amy Guan, Skyler Johnson, Jennifer Yan, Peter Ye. Mentored by Lucas Rusnak

    11. Improving Shannon-Fano-Elias Rate and Encryption Resilience - Jeffrey Liu, Charles Sun. Mentored by Dan Tamir

    12. From 3D Point Cloud To Parametric Representation - Nikola Cao, Sophia Zhong, William Wang. Mentored by Dan Tamir

    13. The Utility of Distributed Ledger Technologies in Management and Integrity Validation for Big Data Applications - Alissa Shen, Samuel Tian, Ethan Yang, Dylan Yu. Mentored by Dan Tamir

    14. Chess Rating Prediction - Evan Lai, August Warshauer.  Mentored by Alex White

    15. Analyzing Trends in Spotify Data Using Multivariable DataScience - Christine Huang, Bibiane Kan, Hanna Kenyatta, Tina Li, Michelle Xiang. Mentored by Alex White

    16. What Online Behaviors Best Predict Academic Performance? - Sabrina Hu, Reiyah Jacobs, Cynthia Zhang, Jennifer Zhang. Mentored by Alex White

    17. Effects of Diet on COVID-19 Deaths - Michelle Chen, Flora Cheng, Aaron Guo, Alice Zhong. Mentored by Alex White

  • 2020 Research Projects

    1. Tableau Stabilization (Jacob D. David, Christopher Wu); Mentor:  Suho Oh

    2. Comparative Analysis of Haploytpe Assembly Algorithms (Daphne Han, Pierce W Lai, Sarah Wei); Mentor: Shuying Sun

    3. BS Co-Methylation Patterns in Breast Cancer Samples (Flora Cheng, Jael J Dammann, Christine Tian, Alice L Zhong); Mentor: Shuying Sun

    4. Counting Prime Graphs of Finite Solvable Groups (Ishita Goluguri, Eli P Meyers, Kenta J Suzuki); Mentor: Thomas Keller

    5. Generalizing Kirchhoff Laws for Signed Graphs (Amelia Yixin Hu, Skyler J Johnson, Peter Ye); Mentor: Lucas Rusnak

    6. An Oriented Hypergraphic approach to Hadamard's Conjectures (Russell A Li, Eric Yan, Justin Y Yu); Mentor: Lucas Rusnak

    7. Simultaneous Compression and Encryption Using Improved Shannon-Fano-Elias Codes (Amy K Chang, Rebeca De La Garza, Andrew C Jiang, Aman A Tewari); Mentor: Dan Tamir

    8. Score-based Evaluation of Pseudo-Random Number Generators (Ethan Liu, Jonathan C Liu, Isabella Quan); Mentor: Dan Tamir

    9. Parametric Representation of Point Clouds Through Interpolation (Susan Janet Hamilton, Alan Lin, Jason S Wu); Mentor: Dan Tamir

    10. Computing with Words in Threat Detection Systems (Alicia Y Lin, Raghav G Samavedam, Samuel Tian, Richard Z Zheng); Mentor: Dan Tamir

    11. Student Definitions of Success at an Informal Math Camp (Angela P Landry, William Wang); Mentor: Cody Patterson

    12. Analysis of the Spread of COVID-19 and Impacts of Mitigation Interventions by using Cellular Phone Mobility Data in Jilin, China (Alkiviades Boukas, Sophie T Cui, Esther M Lee, Mary M Lee); Mentor:  Alex White

    13. A Multivariate Analysis of COVID-19 Disparities in 254 Rural vs Urban Counties in Texas using Multiple Linear Regression Models (Amber K Luo, Charles Sean Sun, Jasmine Wang, Sophia Zhong); Mentor: Alex White

    14. Poisson Process Analysis of Classroom Observation Data (Jennifer J Zhang, Annie Z Zhu); Mentor: Alex White

    15. Determining Explicit Forms and Relationships between Liouville Manifolds (Alice Shanshan Guo, Naomi Kenyatta, Michelle Xiang); Mentor:  Hiro Lee Tanaka

    16. Graph Balancing for Network Data Analysis (Rachel A Laing, Allen Z Wu); Mentor:  Jelena Tesic

  •  2019 HSMC Research Projects

    1. Evaluation and Quantification of the Performance of Stream Ciphers - Dylan Dong, Ayush Suresh, Weilun Sun, Michelle Wang, Mentor: Dan Tamir
    2. B-Spline Surface Optimization for Sharp Feature Preservation - Daniel Lee, Isabella Quan, Chris Wu, Jason Wu, Mentor: Dan Tamir
    3. Student Strategies When Attempting Combinatorial Games - Kiara Chavez, Lino Guajardo, Emma Yu, Mentor: Cody Patterson
    4. Epidemic Intervention on Dynamic Metapopulation Networks - Michael Li, Jack Qiao, Stephanie Wang, Jason Yuan, Mentor: Alex White
    5. Effects of Varying Subgroup Vaccination Rates on Risk of Herd Immunity Deterioration - Daphne Han, Tara Roshan, Allison Yang, Hannah Zhang, Mentor: Alex White
    6. Dynamic Mode Decomposition for a Linear Operator with External Force - Amy Guan, Esther Lee, Helen Wang, Annie Zhu, Mentor Young Ju Lee
    7. Lossless Data Compression on Unbounded Integers - Patrick Peng, Samuel Tian, Alvin Xu, Mentor: Dan Tamir
    8. Graph Theoretic Algorithms for Social Network Analysis - Sophie Cui, Rachel Laing, Angela Landry, Eileen Li, Mentors: Jelena Tesic and Lucas Rusnak
    9. Representable Matroids and Oriented Hypergraphs - Selena Li, Brian Xu, Eric Yan, Shirley Zhu, Mentor: Lucas Rusnak
    10. Generalizing the Tutte Polynomial to Hypergraphs - Michelle Li, Elijah Stroud, Michelle Xiang, Mentor: Lucas Rusnak
    11. Identifying Knot Structures in Known Protein Diagrams - Andy Iyabor, Subi Kim, Radha Malhotra, Saba Zerefa, Mentor: Timothy Chase
    12. A Computational Assessment of the Probability of Knots in Protein Mechanisms - Turner Bumbary, Andy Jiang, Sarah Wei, Sydney Zhou, Mentor: Timothy Chase
    13. Circuit-Chip Firing on Graphs - Eli Meyers, Raghav Samavedam, Alex Yi, Mentor: Anton Dochtermann
    14. Prime Factors in Dynamical Orbits - Kelly Cui, Jasmine Huang, Josh Kolenbrander, William Wang, Mentor: Wade Hindes
  • 2018 HSMC Research Projects

    1. Algebraic Topological Methods for the Analysis and Modeling of Protein Data - Crystal Wang, Jason Yuan, Mentor: Dave Snyder
    2. Utility of Wormlike Micellar Fluids in Enhanced Oil Recovery- Pierce Lai, Michael Li, Sydney Zhou, Mentor: Young Ju Lee
    3. Correlation between the Tutte Polynomials of Simple Graphs, Bipartite Graphs, and Hypergraphs - Devanshi Gupta, Danika Luo, Michelle Wang, Mentor: Lucas Rusnak
    4. A Complete Bound on the Chromatic Number and Index of Hypergraphs Through a Generalization of Vizing's Theorem - Jenny Lu, Eric Wu, Amy Zhou, Mentor: Lucas Rusnak
    5. 3D Mesh Generation through Triangle and Curve Algorithms - Naomi Kenyatta, Raymond Suo, Allen Wu, Mentor: Dan Tamir
    6. Enhancement of the SLAM Algorithm between Two Autonomous Vehicles - Richard Li, Michael Liu, Mahalet Mekonen, Mentor: Rodion Podorozhny
    7. Construction and Enumeration of Minimal Prime Graphs - Josh Kolenbrander, Elijah Stroud, Selina Wu, Mentor: Thomas Keller
    8. An Integrative Evaluation of Statistical Tests for Pseudorandomness to Determine Optimum Randomness Criteria - Asha Pereira, Helen Wang, Angela Zhang, Mentor: Dan Tamir
    9. Verification for the Correctness of Concurrent Data Structures - Turner Bumbary, Amy Hu, Shilpita Mitra-Behura, Mentor: Rodion Podorozhny
    10. A Generalization of Polygonal Sperner's Lemma to Allow Duplicate Labels - Sarah Wei, Alex Yi, Justin Yu, Mentor: Suho Oh

Siemens Competition Results

Returning students in the Honors Summer Math Camp (HSMC) have the opportunity to conduct original math research projects in a team that can be submitted to various contests.  The HSMC has a strong record of producing award-winning research projects.  In 2009, a team from the HSMC won first place at the national level of the Siemens Competition, sharing a $100,000 college scholarship.

From 2001-2017, students' team entries have achieved the following in the Siemens Competition in Math, Science, and Technology:

  • National Finalist: 5 teams
  • Regional Finalist: 25 teams
  • Semifinalist: 73 teams

This includes 192 students named as semifinalists, 72 regional finalists, and 14 national finalists.

    • Regional Finalist- "Criteria for Determining Concordance in Positroids"
      • Team: Andrew Lu, Claire Zhou, Brandon Chen
      • Mentor: Suho Oh
    • Semifinalist- "Algebraic Topological Applications in Data Modeling and Analysis"
      • Team: Jenny Lu, Elijah Stroud, Rachel Laing
      • Mentor: David Snyder
    • Semifinalist: "A Predictive Model of the Spontaneous Segregation of Spherical Nanoparticles Due to Force Imbalances"
      • Team: William Wang, Kyle Wang, Lucy Xu
      • Mentor: Gary Beall
    • Semifinalist- "A Complete Characterization of Oriented Hypergraphs with Singular Laplacians"
      • Team: Junu Lee, Elizabeth Guo, Saba Zerefa
      • Lucas Rusnak
    • Semifinalist- "A Numerical Study of Floating Drops"
      • Team: Eric Wu, Josh Kolenbrander, Grace Zhang
      • Mentor: Ray Treinen
    • Semifinalist- "Integrated Analysis of Gene Expression and Methylation Data for Breast Cancer Cell Lines"
      • Team: Juyon Lee, Catherine Li, Jessica Ding
      • Mentor: Shuying Sun
    • Semifinalist- "Topological Characterization of Graph Study"
      • Team: William Wang, Linda Yu, Kathleen Zhang
      • Mentor: Tim Chase
    • Semifinalist- "A Novel Algorithm for Enhancing the naïve Bayes Spam Filter Through Text Modification Detection"
      • Team: Linda Huang, Julia Jia, Emma Ingram
      • Mentor: Wuxu Peng
    • Semifinalist- "A Three Species Model for Wormlike Micellar Fluids in Porous Media and its Applications"
      • Team: Jonathan Shoemaker, Ethan Nolen
      • Mentor: Young Ju Lee
    • Semifinalist - "Applications of Grassmann Algebra on Laplacian Matrices and Their Properties"
      • Team: Junu Lee, Andrew Lu, and Sophia Sun
      • Mentor: Eugene Curtin
    • Semifinalist - "A Generalization of Structural Degree of Imbalance and Complexity in Oriented Hypergraphs"
      • Team: Gina Chen, Vivian Liu, and Kyle Wang
      • Mentor: Lucas Rusnak
    • Semifinalist - "DNA Co-Methylation Patterns in Cancerous and Normal Tissues"
      • Team: Emily Chen, Surya Namboodiri, and Lillian Sun
      • Mentor: Shuying Sun
    • Semifinalist - "Exploring Energy Efficient Query Optimization Techniques for Databases Without Degrading Performance"
      • Team: Julia Jia, Catherine Li, and Angela Zhang
      • Mentor: Ziliang Zong
    • Regional Finalist - "Signed Path Matrices and Oriented Hypergraphic Generalizations"
      • Team: Eric Li, David Xiang, and Amber Lu
      • Mentor: Lucas Rusnak
    • Semifinalist - "Clusters of Floating and Sessile Drops in the Absence of Gravity"
      • Team: Christine Jou and Yagmur Yuksel
      • Mentor: Ray Treinen
    • Semifinalist - "A Combinatorial Proof for the Rank-Unimodality of Poset Order Ideals"
      • Team: Hans Li, William Liu, and Kevin Rao
      • Mentor: Edward Early
    • Semifinalist - "Energy-Aware Deep Learning for Image Recognition"
      • Team: Lillian Bu, Michelle Hamilton, and Nina Osipova
      • Mentor: Ziliang Zong
    • Regional Finalist - "Identifying DNA Methylation Variation Patterns For Breast Cancer Biomarker Genes"
      • Team: Brandon Alston, Lily Xu, Simantini Mitra-Behura
      • Mentors: Shuying Sun and Ziliang Zong
    • Semifinalist - "Improvements In 3D Volumetric Displays"
      • Team: Wilbur Li, YingYan Ho, Eric Gao
      • Mentor: Matt Gately
    • Regional Finalist - "Maximizing the Number Of K-Sets"
      • Team: Weiwei Chen, Patrick Guo, and Jessica Yu
      • Mentor: Edward Early
    • Regional Finalist - "A Characterization of Balance in Oriented Hypernetworks via Generalized Signed Walks"
      • Team: Angie Rao, Alex Yang, and Vinci Chen
      • Mentor: Lucas Rusnak
    • Semifinalist - "Generating Molecular Solubility Predictors Using Quantitative Structure Activity Relationships"
      • Team: Justin Zhang, Amber Guo, and Angela Feng
      • Mentor: Carl Fisher and Eumi Pyun
    • Semifinalist - "A Game of Tri: A Graph Theoretic Generalization of Hex"
      • Team: Leslie Tu, Selcen Yuksel, and Michaela Taylor-Williams
      • Mentor: Eugene Curtin
    • Semifinalist - "On the synthesis and predictive modeling of stable pigments utilizing silica extracted from rice husk biowastes"
      • Team: Caroline Gao, Susan Xu, and Lily Xu
      • Mentor: Luyi Sun
    • Regional Finalist - "A Novel Approach To Estimating Survival Functions For Interval Censored Data With STD Behavioral Diary Information"
      • Team: George Qi, Vinciane Chen, Robert Tung
      • Mentor: Qiang Zhao
    • Semifinalist - "On The Ratios Of Binomial Coefficients"
      • Team: Leslie Tu, Catherine Yip, Aditya Jain
      • Mentor: Edward Early
    •  5th Place National Finalist - "Determining the Existence of Graceful Valuations of Various Families of Graphs"
      • Team: Kevin Tian, Kevin Chang, Andrew Xu
      • Mentor: Edward Early
    • Regional Finalist - "On the Acyclic Subgraphs of k-Majority Tournments"
      • Team: Alexandra Ilic, Bobby Shen, and Lilly Shen
      • Mentor: Jian Shen
    •  Semifinalist- "A Generalization of Sperner's Theorem for Multisets"
      • Team: Steven Chen, Amy Kang, and Jeremy Kalas
      • Mentor: Eugene Curtin
    • Semifinalist- "Computing Spatio-Temporal Data with Applications to Hurricane Analysis"
      • Team: Ding Zhou and Jessica Wang
      • Mentor: Mark McKenney
    • Semifinalist - "A Mathematical Model of Structural Behaviors and Physical Properties of Polymer Nanocomposites"
      • Team: George Qi, Catherine Liu, and Linda Zhang
      • Mentor: Gary Beall

    • Regional Finalist - " On the Power Dominating Set of Various Classes of Graphs"
      • Team: Alexandra Ilic, Ignacio Ramirez, and Kevin Tian
      • Mentor: Nathaniel Dean
    • Regional Finalist - " Attainability of the chromatic numbers of functigraphs"

    Team: George Qi and Daniel (Shenghao) Wang

    Mentor: Weizhen Gu


    • Semifinalist - " An Application of Subsampling Quantile Estimators to Image Denoising"

    Team:  Sophia (Wen) Chu and Sumit Gogia

    Mentor: Alex White

    • Semifinalist - " On Relating the Prime-counting and Totient Functions to Pigeonhole Goldbach Partitions"

    Team:  Patrick Kim and Michael Proulx

    Mentor: Edward Early 

    • First Place Overall - "Relating Missing and Decycling Edges in Directed Graphs"

    Team:  Dan Liu, Kevin Chen, Sean Karson

    Mentor:  Jian Shen

    • Regional Finalist - "A Prediction of Nanocomposite Permeability from Monte Carlo Simulations and the Implications of the Constrained Polymer Region"

    Team: Patrick Kim, Sumit Gogia, Vincent Yu

    Mentor: Gary Beall

    • Semifinalist - "Creating and Deducing Structure using Domination Numbers in Permutation Graphs"

    Team:  Max Wimberley, Millie Shi

    Mentor: Weizhen Gu

    • Semifinalist - "The Rank Generating Function for Partially Ordered Rb(n)"

    Team:  Fan-Hal Koung, Jennifer Hu, Rebecca Salinas

    Mentor: Edward Early

    • 5th Place National Finalist - "Previously Unknown Parts of the Greene-Kleitman Partition for the Tamari Lattice"

    Team:  Mark Zhang, R-J Lim 

    Mentor: Edward Early

    • Regional Finalist - "Survival Analysis of Gene Expression Data using Dimension Reduction Techniques"

    Team:  Alicia Zhang, Jeffrey Chan, Sameer Deshpande 

    Mentor: Qiang Zhao

    • Semifinalist - "Analysis of Non-Static Two-Person Poker Models"

    Team: Fan-Hal Koung, Jack Geller, Rick Bhattacharya

    Mentor: Eugene Curtin

    • Semifinalist - “The Effect of Different Air Bubble Arrangements on the Dielectric Constant of Teflon”

    Team:  Eunice Alade, Jennifer Hu, Scarrlett Yin 

    Mentor: Gary Beall

    • Semifinalist - “A Model to compute Settling Velocities of Non-Spherical Nanoparticles in a Centrifuge”

    Team:  Aman Sharma, Manos Souganidis, Veronica Ray

    Mentor: Gary Beall

    • Regional Finalist - “On Winning Strategies for General Two- and Three-Person Vertex Geography and the Characterization of Ck2 Games”

    Team:  Jon Gonzales, Mark Zhang, Wesley Chen 

    Mentor: Nathaniel Dean

    • Regional Finalist - “Risk Neutral Exchange Options in Energy Markets”

    Team:  Aman Sharma, Jean Shiao, Jeffrey Chan 

    Mentor: Thaleia Zariphopoulou and Eugene Curtin

    •  Semifinalist - “General Properties of Partisan Subtraction Games”

    Team:  Jeffrey Chen, R-J Lim, Stephanie Chan 

    Mentor: Nathaniel Dean

    • Semifinalist - “L(321) Labeling in Graphs"

    Team:  Amy Proctor, Jasmine Thum, Kimberly Yeh

    Mentor: Jian Shen

    • Semifinalist - “Modeling Gas Diffusion through Nanocomposites”

    Team:  Bryan Wigianto, Faith Chan, Kevin Luecke 

    Mentor: Gary Beall

    • Regional Finalist - “On Free Minimal Edge Control Sets of Digraphs"

    Team: Kimberly Yeh, Tiffany Tsang 

    Mentor: Xingde Jia

    • Regional Finalist - “Mathematical Developments of the Contact Network Model” 

    Team:  Stephanie Chan, Jacob Shapiro, David Price 

    Mentors: Alex White and Lauren Ancel-Meyers

    • Semifinalist - “Characterization of Maximal Antichains in Posets”

    Team:  R-J Lim, Tal Einav, Wesley Chen 

    Mentor: Edward Early

    • Semifinalist - “Character Tables of the Symmetric Group"

    Team:  Diana Lee, Jasmine Thum, Zijie Zhou 

    Mentor: Edward Early

    • Regional Finalist - “Error Correction in Searching and Sorting Algorithms”

    Team:  Edward Schmerling, Jennifer Schmerling, Erik Feng 

    Mentor: Jian Shen

    • Regional Finalist - “Eccentricity Sequences of Graphs”

    Team:  Alisha Seam, Stephanie Chan, Wesley Chen 

    Mentor: Daniela Ferrero

    • Semifinalist - “Extremal Cayley Graphs of Finite Cyclic Groups”

    Team:  Elysia Sheu, Joseph Lee 

    Mentor: Xingde Jia

    • Regional Finalist - “The Power Domination Problem in Trees and other Bipartite Graphs” 

    Team:  Edward Schmerling, Jennifer Schmerling, Sarah Spikes 

    Mentor: Daniela Ferrero

    • Semifinalist - “Counting Maximal Triangle Free Graphs”

    Team:  Elysia Sheu, Helen Zhang 

    Mentor: Susan Morey

    • Semifinalist - “Variations of the Four-Post Tower of Hanoi Puzzle”

    Team:  Erica Rew, Erik Feng, Jonathan Einav 

    Mentor: Eugene Curtin

    • Semifinalist - “A Coloring on Graphs: The L(2,1) Labeling Problem”

    Team:  Jeff Nanney, Joshua Lim, Kris Kazlowski 

    Mentor: Jian Shen

    • National Finalist 6th Place - "Eccentric Graphs of Block Graphs and Trees"

    Team:  Araceli Fernandez, Hannah Chung, Yiduo Wang

    Mentor: Weizhen Gu

    • Regional Finalist - "Various Cases of Seymour’s 2nd Neighborhood Conjecture for Directed Graphs"

    Team:  Diya Banerjee, Helen Zhang, Jeff Nanney 

    Mentor: Jian Shen

    • Semifinalist - "Domination of Permutation Graphs"

    Team:  Allyson Ho, Chong Jiang, Soham Banerjee 

    Mentor: Weizhen Gu

    • Regional Finalist - "Diameter of Path Graphs"

    Team:  Alan Taylor, Hannah Chung, Jeremy Warshauer 

    Mentor: Daniela Ferrero

    • Semifinalist - "Dominant Planar Graphs"

    Tam:  Araceli Fernandez, Diya Banerjee, Syed Ashrafulla 

    Mentor: Daniela Ferrero

    • Semifinalist - "Examining Four-Player Fair Division Algorithms"

    Team:  Andrew Hsiau, Felicia Alderete, Will Boney 

    Mentors: Eugene Curtin and Cody Patterson

    • National Finalist 4th Place - "The Generalization of the De Bruijn Edge Sums"

    Team:  Charles Hallford, Cynthia Chi, Rebecca Williams

    Mentor: Daniela Ferrero

    • Semifinalist - "Game, Set, Match"

    Team:  Alex Wright, Betty Yang, Yeeland Chen

    Mentor: Eugene Curtin