Past DRP Projects

Spring 2026 mentors and their projects

Project Mentors Mentees
1 (AM-Reading-1): Numerical Methods for Stochastic Differential Equations in Finance Chenxin (Derrick) Lyu Shuo-Silvia Ban and Eseosa Belo-Osagie
2 (AM-Reading-2): Mathematical Modelling of Adaptive Metabolism in Cancer Cells Saranya Varakunan Shahla Eslami, Jessica Yu, Charelle Fon, Jiya Ingale
3 (AM-Research-3): It’s Not You, It’s Your Cluster Téa Fazio, Gaia Noseworthy Cindy Jung, Ethan Tran, Lirong Wang, Elisa Liang, Grace Evans
4 (AM-Research-4): Epidemic Dynamics Beyond a Single Wave: Effects of Waning Immunity and Vaccination Betty Zhang Katherine Chambers, Lily Li, Aster Qianyi Huang
5 (AM-Research-5): Quantitative Analysis of Entry and Exit Strategies in Financial Markets James Dufresne Molly Xie, Zhengyu Zhu, Addysen Stewart, Linxi Fan
6 (CO-Reading-1): So I've learned about bijections, now what? Harper Niergarth Tianyi Zhou, Erin Guerard, Erika Ke Yu Shan
7 (CO-Reading-2): Hopping Particles and Catalan Combinatorics Zeus Dantas e Moura Minyang Li, Daniel Singh, Amanda Xi, Maidah Amjad Waheed
8 (CO-Reading-3): Computational Origami and Geometric Folding Algorithms Saba Molaei Elena Thai, Aditi Raval, Vaibhavi Agarwal
9 (CO-Research-4): Counting Configurations of Rubik’s Cube Variants Jeronimo Valencia Nitya Kandadai, Hope Appelmans, Vedika Gupta, Evan Rosen
10 (CS-Reading-1): AI Safety and Security Challenges in LLM-based Autonomous Agents Tony He Ming Zhe Li, Atta Amoah-Bediako, Lia Moradpour, Dora Zang
12 (CS-Reading-3): Study of Device use Behaviour Biometrics as a Signal Artemiy Vishnyakov XinYi Ye, Mrunal Kankarej, Emily Chu
13 (CS-Reading-4): Privacy Preserving Techniques for Database Query Processing Shufan Zhang Lahari Bonam, Johnathan Xu, Yunxing Teresa Zhang, Susie Cao
14 (CS-Reading-5): Artificial Intelligence in Drug Discovery Bing Hu Pei Lin He, Parsa Bagheri, Suri Tian, Jie Yang
15 (CS-Research-6): Assessing the Performance of Transformer Based and State Space Models (Mamba) on Solving PDEs Maryam Yalsavar Yurim Song and Sharvi Khambaswadkar
16 (CS-Research-7): Creative Coding and Debugging Interface Helen Weixu Chen Rachel Spanglet and Gaurika Gupta
17(PM-Reading-1): An Introduction to Hodge Theory Jiahui Huang Ilmie Abeywardane
18 (PM-Reading-2): Understanding the Poincaré conjecture Shintaro Fushida-Hardy Paige Schneider, Changhong Li, Kiana Ordoukhani, Siqi Yao
19 (PM-Reading-3): Amenable and Property (T) groups Lilian Gardner Amelia Thomas, AJ Carson, Abdul Haseeb
20 (PM-Research-4): Iteration of linear differential operators Paul Cusson Jake Edmonstone and Matthew Tchouikine
21 (PM-Research-5): Orthogonal polynomial and random matrices Nathan Pagliaroli Milagro Chen and John Kim
22 (SAS-Reading-1): Bayesian Thinking in Hierarchical Models Diribsa Tsegaye Bedada Abby Tessema, Paige Li, Smridhi Bawa
23 (SAS-Reading-2): Using Deep Learning to Price Complex Financial Derivatives Zirui Wang Irene Chung and Julia Jia He Miao
24 (SAS-Reading-3): Causal Inference in Survival Analysis: An Introduction Yixuan Zeng Dhruvi Patel and Isabella Di Nino
25 (SAS-Reading-4): Applied longitudinal data analysis: Modeling change and event occurrence Aelita Huang Jessica Ni and Aditi Jha
26 (SAS-Reading-5): Exploring Hotel Operations and Customer Behavior through Data Analytics Yan Yu Chloe Jiang, Jessica Lu, Davina Yang
27 (SAS-Reading-6): An Overview of Bayesian Statistics Yixing Zhao Raiya Minhas and Kasey Yin
28 (SAS-Research-7): Beyond the Vig: Estimating True Probabilities Tyler Verhaar Amy Xu, Sherry Xi, Yuner Chen

Winter 2026
Project Mentors Mentees
1 (AM-Reading-1): How cells feel: modelling interactions of cells with their environment Gordon McNicol Kris Zhang and Margaret Puzio
2 (AM-Reading-2): Numerical Methods for Stochastic Differential Equations in Finance Chenxin Lyu Jackie Liu and Anne Zhang
3 (AM-Reading-3): Mathematics Methods in Medical Imaging Processing and Diagnostics Victoria Ralph Julia Qiu, Hanin Shamsheer Abdul Rehiman, and Lily Li
4 (AM-Reading-4): Data-Driven Science and Engineering Anand Karki Dhruvi Patel, Kim Shin Tyler Ah Von, and Haniya Nadeem Raja
5 (AM-Research-5): Stochastic Models in Mathematical Finance: Stability, Risk, and Simulation Yun Su Shruti Dua and Rui Wang
6 (AM-Research-6): Using Graph Theory for Coordination and Control of a Swarm of Drones Hassaan Qazi Yurim Song, Lorena Brito Maia, and Ningya Shen
7 (AM-Research-7): Epidemics and Economics: Modelling Household Transmission and Industry Closures with ODEs Betty Zhang Raluca Rusu, Theodora Turda, and Khushi Adukia

8 (AM-Research-8): Evaluating and Improving Entry and Exit Strategies in Financial Markets

Deborah's slides | Jessie's slides

 James Dufresne Deborah Xing and Jessie Deng
9 (CO-Reading-1): Random walks on finite groups Theodore Morrison Sara Abdella, Vedika Gupta, and Mahek Patel
10 (CO-Reading-2): Introduction to graph powers Hidde Koerts Soham Pande, Wanqing Zhao, and Sally Ann Hui
11 (CO-Reading-3): Creative telescoping and automated proof of combinatorial identities John Smith Sherry Xi and Briana Peng
12 (CO-Reading-4): Helly-type theorems in geometry Mathieu Rundstrom Hanyu Liu, Riza Qin, and Ningzi Chen
13 (CO-Reading-5): Exploring Social Networks Through c-Closed Graphs Gabriela Bourla Gul Rukh, Kiera Mitchell, and Shruthi Konduru
14 (CO-Reading-6): Parameterized Complexity Sahab Hajebi Walker Stie, Shichen Gou, and Flora Wang
15 (CO-Research-7): Graph Theory in Lean 4 Jun Kwon Richard Zhang
16 (CS-Reading-1): Privacy Perserving Techniques for Database Query Processing Shufan Zhang XinYi Ye, Ruohan Jin, Ava Yang, and Anandi Jawkar
17(CS-Reading-2): AI Advice: general purpose LLLM's and their usability for security and privacy advcie Shanza Shanza Juliann Zhu and Yuyeon Kim
18 (CS-Reading-3): From Prompts to Proofs: Improving Large Language Models Reasoning at Inference Pouya Sadeghi Fiona Cai, Kiana Ghomizadeh, and Haardik Garg
19 (CS-Reading-4): Key Transparency Vecna Amalia Morarian, Veronica Gebura, and Sherry Zhang
20 (CS-Reading-5): Digital Civics and Community Engagement with Technology Anthony Maocheia-Ricci Angela Li , Erin Walshaw, and Alexandra Roszczenko
21 (CS-Reading-6): Efficient Algorithms for Solving Polynomial Systems Andrew Luo Aubrie Chan, Shuxiao Zhang, and Lydia Zhou
22 (CS-Research-7): Game Design to Combat Mis/Disinformation Hanna Dodd, Carolyn Wang Mahi Rathi, Rachel Spanglet, and Alice Qi
23 (CS-Research-8): Increasing the Generalizability of Deep Learning Based PDE Solvers Maryam Yalsavar Yana Jakhwal and Xiao Lu
24 (CS-Research-9): Evaluating a Proactive AI Prototype for Supporting Synchronous Conversations Mohammad Abolnejadian Christal Xing, Le Kong, Ethan Tran, and Hana Rashad
25 (CS-Research-10): SAT encoding verification Mehrad (Mehrad) Haghshenas Jeannie Shi, Manvi Sharma, Sarah Nurse, Tianyi Zhou, and Linxi Fan
26 (CS-Research-11): The Magic of Two Layers: Interwoven Geometric Art Saba Molaei Alia Cai, Zunairah Shahzad, and Zainab Mohamed
27 (PM-Reading-1): A First Look at p-adic Numbers Michelle Molino Karen Lin, Maidah Amjad Waheed, and Mrunal Kankarej
28 (PM-Reading-2): Introduction to Semigroup Theory for Differential Equations Shri Lal Raghudev Ram Singh Alice Shimiao Zhang, and Elisa Liang
29 (PM-Reading-3): Non-Standard Analysis Aareyan Manzoor Easty Guo, Gisele Huang, and Erin Guerard
30 (PM-Reading-4): Modular Forms Faisal Al-Faisal Natalia Weber and AJ Carson
31 (PM-Reading-5): The other cross product Faisal Romshoo Smridhi Bawa and Caroline Knoke
32 (PM-Research-6): Orthogonal polynomial and random matrices Nathan Pagliaroli John Kim, Milagro Chen, and Mohi Kambo
33 (SAS-Reading-1): Bayesian Thinking in Hierarchical Models Diribsa Tsegaye Bedada Grace Pu and Sophia Liu
34 (SAS-Reading-2): Causal Inference in Survival Analysis: An Introduction Yixuan Zeng Anwesha Bali and Maheen Malik
35 (SAS-Reading-3): Integrated Data Analytics Support In High Performance Sport David Awosoga Maria Gharabaghi, Lillian Mo, and Victoria Gao
36 (SAS-Reading-4): Machine Learning and Classification Edward Chang Ruby Liu, Xing Liu, and Sarah Pace
37 (SAS-Reading-5): Exploring Hotel Operations and Customer Behavior through Data Analytics Yan Yu Melissa Sham and Ayushi Negi
38 (SAS-Research-6): Multitask Learning for Cross-Asset Price Prediction Hao Quan Hany Jiang, Momina Butt, and Bhavika Dindyal

Fall 2025
Project Mentors Mentees
1 (AM-Reading-1): How Math Unveils the Secrets of Infectious Diseases Like COVID-19 Zoya Abbasi Paige Li, Zunairah Shahzad
2 (AM-Reading-2): Integrative Approaches to Cancer Research: Bridging Mathematical Modeling, Machine Learning, and Tumor-on-a-Chip Technologies Mohsen Rezaeian Victoria Kolb, Georgina Wang, Lily Jiang, Siri Sujay
3 (AM-Reading-3): Using Graph Theory for Coordination and Control of a Swarm of Drones Hassaan Qazi  Christina Zijun He, Bandana Bajaj
4 (AM-Reading-4): From Bone to Blood: Age-Driven Changes in Calcium Homeostasis Zaheer Mohideen Andrea Lagunes Betanzos, Isabella Wang
5 (AM-Research-5): Solving PDEs by using Attention mechanism Maryam Yalsavar Xena Jiang, Sandy Banh
6 (CO-Reading-1): Algorithmic Game Theory Rian Neogi Saransh Jindal, Stella Xiao
7 (CO-Reading-2): Log-concave polynomials and applications Maryam Mohammadi Yekta Danielle Rodgers, Erin Guerard
8 (CO-Reading-3): The Hadwiger's Conjecture Xinyue Fan Heer Mehta, Evan Rosen
10 (CO-Research-5): Evaluating symmetric functions at partitions Harper Niergarth Vixail Hadelyn, Wenhui Li, Weiyou Li
11 (CO-Research-6): Graphs in Lean Fernanda Rivera Omana, Noah Weninger  Richard Zhang, Elaine Zhao, Betty Zhang
12 (CO-Research-7): Applying PDHG to the Minimum Volume Ellipsoid Problem Matthew Hough, Viktor Pavlovic Eason Li, Qinyi Guo 
13 (CS-Reading-1): How People Seek Security AND Privacy Advice
from LLMs		 Shanza Shanza Na Peng, Shu Cong, Yizhou Lou
14 (CS-Reading-2): Approximation algorithms for NP-Hard problems Layth Ali Al-Hellawi Leon Yang, Gloria Jianan Wang, Taiqian Zhang
15 (CS-Reading-3): An Introduction to Quantum Computing through ZX Calculus Vyom Patel Caroline Knoke, Susie Cao
16 (CS-Reading-4): Can neural networks actually learn? Kaleb Domenico Ruscitti Alex Palmer, Mathilda Lee, Simran Matharu
17 (CS-Reading-5): Private Messaging Vecna Melanie Foltak, Sarah Nurse, Xinyi Chen
18 (CS-Reading-6): Fairness Evaluation for Language Models Yiran Hu Jiarui Han, Eileen Wen
19 (CS-Reading-7): Intelligent Automation for Accelerating the Repair of Software Build Failures Gengyi Sun Lily Li, Bhavya (Bhavya) Modi, Anwesha Bali, Deepika Anbalagan
20 (PM-Reading-1): The other cross product  Faisal Romshoo Chandni Wadhwa, Margaret Puzio, Khushi Adukia
21 (PM-Reading-2): Ramsey theory with analytic methods Jashan Bal Megan Winterburn, Yanna Jaskielewicz
22 (PM-Reading-3): A First Look at p-adic Numbers Michelle Molino Chelsea Kim, Changhong Li, Tamar Gendler, Jessica Ni
23 (PM-Reading-4): Elliptic Curves Faisal Al-Faisal Xing Liu, Emily Wang
24 (PM-Reading-5): Sobolev space and PDEs Roger Gu AJ Carson, Irene Chung, Cynthia Zhang
25 (PM-Reading-6): Formalizing analysis in Lean Sita Gakkhar Cristian Moretto, Bowen Dai, Kris Zhang
26 (PM-Research-7): Automorphic Forms and Arithmetic Statistics Alex Cowan Sally Ann Hui, Peter Yang, Suhao Hu
27 (PM-Research-8): Dimer transitions and cluster transformation of toric Landau-Ginzburg models Jesse Huang Elizabeth Cai, Kenneth Xiao
28 (SAS-Reading-1): Stop Wasting Data! How Sequential Testing Beats Fixed-Sample Experiments Kyu Min Shim Drishti Handa, Jie Yang
29 (SAS-Reading-2): Multitask Learning for Cross-Asset Price Prediction Hao Quan Gabrielle Wu, Xinyi Nie, Violet Song
30 (SAS-Reading-3): Exploring Climate Risk in Finance and Insurance Rhoda Dadzie-Dennis, Minh Chau Nguyen Shreya Jain, Suneet Kaur Mahal, Milagro Chen
31 (SAS-Reading-4): Exploring Hotel Operations and Customer Behavior through Data Analytics Yan Yu Briana Peng, Iris Mo
32 (SAS-Reading-5): Introduction to Modern Probability Theory Joshua Joseph George Sri Meghana Yarlagadda, Madison Han, Chaozhong Wang, Parithy Senthamilarasan
33 (SAS-Research-6): Risk and Uncertainty: Math Behind Everyday Decisions Jingcheng Yu Nyra Rodrigues, Yurim Song, Cindy Yang, Wincy Huang
34 (SAS-Research-7): Meta-Analytic Evaluation of Volleyball Metrics David Awosoga Anna Takegawa, Yushi Liu, Allie Dong

Spring 2025
Project Mentors Mentees
1 (AM-Reading-1): Ordinary Differential Equation (ODE) Models of Cancer-Immune Interactions Saranya Varakunan Asia Celeste Mitchell
2 (AM-Reading-2): Application of Mathematical Modelling and Machine Learning in Cancer-on-a-Chip Systems Mohsen Rezeaian Yidan Wang, Daria Jiang, MingMing Zhang
3 (AM-Reading-3): Numerical Methods for Stochastic Differential Equations in Finance Chenxin Lyu Grace Yin, Irene Chung
4 (AM-Research-4): Modelling Coupled Social-Climate Systems Amrita Punnavajhala Yushi Liu, Shiqi Cai
5 (AM-Research-5): Efficient quadrature rules on two and three dimensional domains Zelalem Arega Worku Moustapha Diallo, Chloe Young
6 (CO-Reading-1): Introduction to Graph Limits Martin Liu Taiqian Zhang, Bandana Bajaj
7 (CO-Reading-2): Rainbow Ramsey Theory Fernanda Rivera Omana Sahana Mia Nirmalan, Shahbano Yousafzai
8 (CO-Reading-3): Learning to Write Formal Security Analysis for Real-World Cryptographic Protocols Yuheng Wen Shu Cong
9 (CO-Reading-4): Algorithmic Game Theory Rian Neogi Angela Skie Xu, Lillian Mo, Maria Gharabaghi
10 (CS-Reading-1): Private Messaging Vecna Paige Schneider, Emilia Dragoev
11 (CS-Reading-2): Learning to Write Formal Security Analysis for Real-World Cryptographic Protocols Ruizhe Wang Erin Walshaw, Daria Novikova
12 (CS-Reading-3): Antibody-Antigen Binding Affinity Prediction Qianqiu Zhang Alexandra Roszczenko, Sampoorna Prakash
13 (CS-Reading-4): Secure and Private Hybrid Search Algorithms Shufan Zhang Ashley Ge, Dana Yuan, Myra Gupta
14 (PM-Reading-1): Dynamics and Arithmetic of Post-critically Finite Polynomials Xiao Zhong Bowen Dai
15 (PM-Reading-2): Elliptic Curves Faisal Al-Faisal Isabela Souza Cefrin da Silva, Ellie Hamer
16 (PM-Reading-3): Saddles, Peaks, and Valleys: Geometry via Morse Theory Jiahui Huang Sara Nayar, Abdul Haseeb
17 (PM-Reading-4): The Sound of Rough Spaces: Differential Equations on Fractals Roberto Albesiano Fatma Jadoon, Olivia Larssen
18 (PM-Research-5): Automorphic Forms and Arithmetic Statistics Alex Cowan Sally Ann Hui, Peter Yang, Suhao Hu
19 (SAS-Reading-1): Introduction to Measurement Error Xiaoya Wang Jenny Ran, Lillian Li
20 (SAS-Reading-2): Portfolio Selection Under Climate Change: Integrating Climate Risk in Investment Rhoda Dadzie-Dennis Alex Palmer, Tanay Kashyap, Kris Zhang
21 (SAS-Reading-3): An Introduction to Survival Analysis Aelita Huang Lana Gacevic
22 (SAS-Reading-4): Causal Inference for Survival Data Yixuan Zeng Rohan Raghavan
23 (SAS-Reading-5): Exploring Hotel Operations and Customer Behaviour through Data Analytics Yan Yu Drishti Handa, Tyler Ah Von, Jill Shen

Winter 2025
Project Mentors Mentees
1 (AM-Reading-1): How Math Unveils the Secrets of Infectious Diseases Like COVID-19 Zoya Abbasi Victoria Kolb, Xuanyi Chen
2 (AM-Reading-2): An Introduction to Quantum Computing through ZX Calculus Vyom Patel Emma Xing, Nicole Masodje
3 (AM-Reading-3): Parameter Estimation of the Hodgkin-Huxley Model Maxwell Yue Amy Bui, Debra Rose Defazio
4 (AM-Reading-4): Mathematical Modelling of Circadian Rhythm in Mammals Kaixin Zheng Yuan Yuan, Jackie Liu
5 (AM-Reading-5): An Introduction to Mathematical Climate Modelling Yusuf Aydogdu Joanna Jiang, Erica Han, Katrina Wohlgemut
6 (AM-Research-1): Efficient quadrature rules on two and three dimensional domains Zelalem Arega Worku Moustapha Diallo, Chloe Young, Shraddha Shankar Aangiras
7 (CO-Reading-1): Games on Graphs: Cops and Robbers Massimo Vicenzo Yuan Si, Silvia Zheng
8 (CO-Reading-2): Exploring Social Networks Through c-Closed Graphs Gabriela Bourla Jenna Johnston, Peter Yang
9 (CO-Reading-3): Introduction to Clique-Width Taite LaGrange Sarah Nurse
10 (CO-Research-1): Formalization of Tutte's linking theorem (Menger's theorem for matroids) Fernanda Rivera Omana and Mathieu Rundstrom Hadas Barabash, Jiaying Li, Nitya Kandadai, Zahra Ben Sabeur Tobar
11 (CO-Research-2): Past-future invariant and Causal Set Theory Kimia Shaban, Tiadora Ruza, and Ian George Hanyu Zhou, Alishba Malik, Lihuizi Chen, Jonathan Friedberg, Sherry Feng, Annie Sun
12 (CO-Research-3): Cutting-planes for Vehicle Routing Problems Matheus Jun Ota Modi Liu, Yirui (Ruby) Fang
13 (CO-Research-4): The interplay of Tyshkevich decomposition and other graph operations Cicely (Cece) Henderson and Hidde Koerts Boxuan Meng, Elaine Zhao, Helena Devinyak, Molly Wu
14 (CO-Research-5): Pick's theorem and its generalizations Jerónimo Valencia Porras Fillion Ding
15 (CS-Reading-1): Verifying Computation With Sum-Check Protocol Vahid Reza Asadi Rachel Ma, Vivian Guo
16 (CS-Reading-2): Mathematical Foundations of Deep Learning Juju Quartz Prisha Aggarwal, Abirami Karthikeyan
17 (CS-Reading-3): Probabilistic Methods in Computer Science Omkar Bhalchandra Baraskar Rachel Spanglet, Myra Gupta
18 (CS-Reading-4): Exploring Trade-offs in Mitigating Memory Vulnerabilities Ruizhe Wang Siyu Huang, Mikel Osei-Owusu
19 (CS-Reading-5): Exploring the usefulness of concentration inequalities to analyze randomized algorithms Prashant Gokhale Tanisha Dhami, Neva Wilson
20 (CS-Reading-6): Productive Curiosity Henry Yang Katherine Liu, Freya Zhang
21 (CS-Research-1): Serving Large Language Models on Budget GPUs Runsheng Guo Shu Cong, Maggie Liu, Divya Makkar, Anna Jia Wang
22 (CS-Research-2): Fully Encrypted Protocols Sina Kamali Lianghan Dong, Sarah Wilson, Stella Tian
23 (PM-Reading-1): Introduction to infinite structures Joey Lakerdas-Gayle Ellie Hamer, Gisele Huang
24 (PM-Reading-2): Playing with vector bundles Paul Cusson Edward Chang, Betty Zhang
25 (PM-Reading-3): An introduction to classical knot theory: How to tell the difference between twisted piles of string Robert Harris Isabela Souza Cefrin da Silva, Soumya Menon
26 (PM-Reading-4): Mean value of an arithmetic function Zhenchao Ge Chandni Wadhwa
27 (PM-Reading-5): Harmonic Analysis of Locally Compact Groups Aleksa Vujicic Ziyan Chen, Khanjan Soni
28 (PM-Reading-6): Understanding Geometric Objects With Computer Algebra System Erica Liu Jessica Ni, Bowen Dai, Xena Jiang, Adrina Esfandiari
29 (SAS-Reading-1): Predictive Models in Health Care Xianwei Li XinYi Ye, Jialu Sun
30 (SAS-Reading-2): Exploring numerical methods for option pricing Xipeng Huang Qianqian Wang, Micky Liu
31 (SAS-Reading-3): An overview of Bayesian statistics Yixing Zhao Xiaoyan Wang, Catherine McCulloch
32 (SAS-Reading-4): When the Numbers Lie: An Analysis into the Misuse of Statistics in Research Jessica Xu Mathilda Lee, Maria Khan, Parithy Senthamilarasan, Anika Smith
33 (SAS-Reading-5): Exploring Hotel Operations and Customer Behavior through Data Analytics Yan Yu Lily Li, Anwesha Bali, Yanqi Gao
34 (SAS-Reading-6): Portfolio Selection under Climate Change: Integrating Climate Risk in Investment Rhoda Dadzie-Dennis Joanna Moon, Arielle Chan, Jane Zhu, Lena Ye

Fall 2024
Project Mentor Mentees
AM-Reading-1 Optimal control for ordinary differential equations Ala' Alalabi Haiyan Zhu and Neha Munje
AM-Reading-2 An Introduction to Mathematical Climate Modelling Yusuf Aydogdu Adya Bhardwaj, Neva Wilson, and Sampoorna Prakash
AM-Reading-3 Numerical solutions of common differential equations in mathematical physics Milad Moshayedi Aaisha Pathan and Simran Matharu
AM-Reading-4 How Math Unveils the Secrets of Infectious Diseases Like COVID-19 Zoya Abbasi Gaurika Gupta and Yashila Barnwal
AM-Reading-5 Optimization Methods for Image Processing Phuong Dong Le Ha Dang Vu, Khoi Hoang, and Monica Trinh
AM-Research-1 Modelling epidemic spread of plasmids in microbial communities Aaron Yip Chenyi Xu and Tong Liang
CO-Reading-1 Mechanism Design and Algorithmic Game Theory Rian Neogi Daisy Li and Shu Cong
CO-Reading-2 Numerical Semigroups via Chicken McNuggets Harper Niergarth Heer Mehta and Margaret Puzio
CO-Research-1 Three-Uniform Hypergraph Gridwalking via The Tutte Polynomial Josephine Reynes Bandana Bajaj and Page Stone
CO-Research-2 Finding Combinatorial Specifications for Chord Diagrams Kimia Shaban and Tiadora Ruza Sherry Feng, Hanwu Zhou, Hope Appelmans, and Purev Batdelger
CO-Research-3 Cutting-planes for Vehicle Routing Problems Matheus Jun Ota Modi Liu and Yirui (Ruby) Fang
CO-Research-4 The interplay of Tyshkevich decomposition and other graph operations Cicely (Cece) Henderson and Hidde Koerts Boxuan Meng, Elaine Zhao, Helena Devinyak, and Molly Wu
CO-Research-5 Pick's theorem and its generalizations Jerónimo Valencia Porras Fillion Ding and Melody Tian
CS-Reading-1 Software Foundations Edward Lee Feng Xiang Ming and Solara Lin
CS-Reading-2 Simulating Fluids with Physics-based Animation Anchit Mishra Khanjan Soni and Yifei Wang
CS-Reading-3 Exploring Explainable AI Methodologies Julie Wojtiw-Quo Harbin Dhillon
CS-Reading-4 Evaluating The Efficiency and Security of Blockchain Consensus Models Shashank Joshi Radha Kotra, Kamakshi Sarvananthan, Lily Wang, and Rena Yang
CS-Research-1 AI in Software Engineering: Evaluating LLMs in SE Noble Saji Mathews Anusheh Atif, Kriti Sodhi, and Nina Zhang
CS-Research-2 Fully Encrypted Protocols Sina Kamali Lianghan Dong, Sarah Wilson, and Stella Tian
PM-Reading-1 Singularities of curves Jiahui Huang Emily Wang and Nayantara Gummalla
PM-Reading-2 Introduction to Lattices and Order Alec Gow Debra Rose DeFazio and Shichen Gou
PM-Reading-3 Free Groups and the Word Problem Nicolas Banks Micky Liu and Brenda Li
PM-Reading-4 Word Hyperbolic Group Aareyan Manzoor Kenneth Xiao
PM-Reading-5 Primality Testing and Factoring Algorithms Owen Sharpe Manal Wasif and Sri Meghana Yarlagadda
PM-Reading-6 The Abel-Ruffini Theorem: or why there is no general formula for the roots of polynomials Yash Singh AJ Carson and Nicola Ablett
SAS-Reading-1 When the Numbers Lie: An Analysis into the Misuse of Statistics in Research Jessica Xu Eike Zhao and Meerra Vasuthevan
SAS-Reading-2 Exploring Hotel Operations and Customer Behavior through Data Analytics Yan Yu Arwen Mao, Ellen He, Julia Wrona, and Rachel Tania
SAS-Reading-3 Deciphering Causality: A Primer on Causal Inference Xiaoya Wang Catherine McCulloch, Ivena Yeung, and Ridhika Madan
SAS-Reading-4 An Introduction to Survival Analysis Xianwei Li Alina Hu, Calista Kurniawan, and Maya Le

Spring 2024

Spring 2024 DRP Projects

Project Mentor Mentees
AM-1 Numerical solutions of common differential equations in mathematical physics Milad Moshayedi Mincy Yang and Alice Qi
AM-2 An Introduction to Mathematical Climate Modelling Yusuf Aydogdu Mabel Luo and Daisy Li
AM-3 Efficient attention for long sequences Yanming Kang Sachi Shah and Hadeya Ikram
AM-4 A Journey through the Physics of Space and Time Matheus Hrabowec Zambianco Sehar Durrani and Rem Dong
AM-5 Neural network-based stability analysis for dynamical systems Ruikun Zhou Gengyang Chen and Jiaren Yue
AM-6 How Math Unveils the Secrets of Infectious Diseases Like COVID-19 Zoya Abbasi Shiyi Liu and Alishba Malik
CO-1 Helly's theorem in the plane and beyond? Mathieu Rundstrom Heer Mehta and Sneha Elavarasan
CO-2 Tyshkevich Decomposition of Graphs Cicely (Cece) Henderson Nitya Kandadai, Zahra Ben Sabeur Tobar, Boxuan Meng, and Elanie Zhao
CO-3 Non-constructive methods in combinatorics Sepehr Hajebi Anna Henderson and Gioia De Leonardis
CO-4 Introduction to Graph Products Hidde Koerts Bandana Bajaj and Khanjan Soni
CO-5 Playing Tic-Tac-Toe on Combinatorial Designs Tiadora Ruza Novel Peng and Joyce Chen
CO-6 An Introduction to Biased Graphs Xinyue Xie Neha Munje and Amy Bui
CS-1 MathCraft: The Tower of Hanoi Odyssey Punit Kunjam Sophia Zhu, Luna Wu, and Alia Cai
CS-2 Evaluating the Efficiency and Security of Blockchain Consensus Models Shashank Joshi Yidan Wang and Lily Jiang
CS-3 Synergizing Information Retrieval and Large Language Models for Retrieval-Augmented Generation Ronak Pradeep Diliara Kaniazova
CS-4 AI & Software Engineering: Exploring LLMs for enhancing SE workflows Noble Saji Mathews Helen Dong and Fion Zheng
CS-5 The burning number of a graph and related problems Prashant Gokhale Shriya Kulkarni and Lynn Li

CS-6 Statistical data depth in deep learning: Application to out of distribution detection

Ananya's Slides | Ananya's GitHub repository

 Spencer Szabados Ananya Kumar and Zayaan Mulla
PM-1 Wallpaper Groups AJ Fong Bethelhem Bezabeh and Melody Tian
PM-2 Introduction to Elliptic Curves and Modular Forms Yash Totani Bryan Chen and Natalia Weber
PM-3 Structure Theory of Rings Liam McQuay Amelie Zhou and Manya Singh
PM-4 Introduction to Tensor Products Annie Li Sara Nayar and Marshall Cowie
PM-5 Lie Groups Keke Zhang Hope Appelmans and Hanwu Zhou
PM-6 Understanding Geometric Objects With Computer Algebra System Erica Liu Stephanie Penner and Stella Xiao
SAS-1 Causal Inference: Mimicking Potential Outcomes on a Single Individual Henan Xu Xinyang Li, Tiffany Wang, and Zhige Chen
SAS-2 What goes into a sustainable investment? Minh Chau Nguyen Aastha Hiten Kotecha
SAS-3 Exploring Hotel Operations and Customer Behavior through Data Analytics Yan Yu Claudia McComb and Charlotte Liu

SAS-4 Deciphering Causality: A Primer on Causal Inference

Slides | R Code & Data Format

 Xiaoya Wang Shu Cong
SAS-5 Portfolio Selection under Climate Change Rhoda Dadzie-Dennis Aliard Jerome and Jingyan Ji

SAS-6 Introduction to Missing Data Problem in Health Data

 Yuliang Shi Shuha Sheikh

Winter 2024

Winter 2024 DRP Projects

Project Mentor Mentees
AM-1 Mathematical Modeling of Potassium Regulation Melissa Stadt Betty Zhang and Lily Zhou
AM-2 Introduction to Mathematical Model of Infectious Disease Athira Satheesh Kumar Alice Sun and Austin Zhu

AM-3 Dynamics of the Neural Network

 Liang Chen Natalia Manturowicz and Alicia Lin

CO-1 Robust Combinatorial Optimization

 Matheus Jun Ota Crystal Zhou and Xinyue Fan
CO-2 Tyshkevich Decomposition of Graphs Cicely Henderson Helena Devinyak and Molly Wu
CO-3 Lattice-point Enumeration of Polytopes Jerónimo Valencia-Porras Gloria Wang and Melody Tian
CO-4 Anti-Ramsey Theory Fernanda Rivera Omana Grace Terhljan and Soumya Menon

CO-5 Primality Testing and Factoring Algorithms

Daniel's Presentation.pdf | Tengyi's Presentation.pdf | Jazlynn's Presentaion.pdf

 Owen Sharpe Daniel Ting Feng Liu, Tengyi Xu, and Jazlynn Leung

CS-1 Introduction to running your own LLMs for story generation (or any other use case)

 Aisha Khatun Kun Zhu and Qi Fang
CS-3 Evaluating the Efficiency and Security of Blockchain Consensus Models Shashank Joshi Yuhan Wu and Ashley Ge
CS-4 Diving Into Privacy Enhancing Technologies Sina Kamali Keqing Wang and Weixin Huo
CS-5 Algorithms for Big Data: Sublinear and Streaming Algorithms Vihan Shah Rachel Ma and Vivian Guo
CS-6 Machine Learning for Brain-Computer-Interfaces Lena Podina Akira Yoshiyama
CS-7 The Graph Container Method and Applications in Algorithms Cameron Seth Aadila Ali Sabry
PM-1 Introduction to Algebraic and Computational Geometry by Exploring Elliptic Curve Cryptography Kaleb D Ruscitti Elizabeth Cai and Vixail Hadelyn
PM-2 An Introduction to Model Theory Aareyan Manzoor Alice Schroeder and Elysia Wang

PM-3 Why does the golden ratio show-up in flowers?

 Jérémy Champagne Jackie Liu and Lydia He

SAS-1 Introduction to Bayesian Inference

 Yiran Wang Keeley Isinghood and Haiyan Zhu

SAS-2 An Introduction to Survival Analysis

 Xianwei Li Yanqi Gao and Micky Liu
SAS-3 A Journey into Causal Inference Jingyue Huang Tianai Liao and Ziyi He

SAS-4 Structural Causal Models

 Shiyu He Anne Zheng and Andie Cao

Fall 2023
Project Mentor Mentees

AM-1 Single-Compartment Conductance-Based Models of Cortical Neurons 

 Maliha Ahmed Erica Han, Vinyga Kumararajah
AM-2 Introduction to Random Features in Machine Learning Esha Saha Felicity Li, Minqiu Liu, Yixuan Wu

CO-1 The Tutte Polynomial

 Josephine Reynes Bandana Bajaj, Zoe Zou

CO-2 Graph Minors

 Sepehr Hajebi Xinyue Fan, Lyncy Li

CS-1 Deep learning for brain-computer interfaces

 Lena Podina Akira Yoshiyama

CS-2 Introduction to Explanable AI

 Trang Bui Sanika Poojary, Jaimee Yeung

PM-1 Distributions of Arithmetic Functions

Sourabhashis Das

 Harshita Pahwa, Xinlei Xu

PM-2 Introduction to Tropical Geometry

 Nicole Kitt Zhiqian Ding, Xinran Tian

SAS-1 Transfer Learning from a Statistical Perspective

 Jie Jian Kun Zhu, Samantha Wallis, Xinran Zheng

SAS-2 An Introduction to Causal Inference

 Jingyue Huang Christina Feng, Gengyang Chen, Sherry Chang

Spring 2023
Project Mentor Mentees
CO-1 The Hat Guessing Number of Graphs Jeremy Chizewer Shriya Kaistha and Mehrdad Sohrabi
CO-2 Model-Based Derivative-Free Optimization Matthew Hough Jessica Ding and Hong Guan
CS-1 Bayesian Methods in Machine Learning Yueheng Zhang Alian Umali and Helena Xu
CS-2 Mathematics behind Machine Learning Shruti Srivatsan Tracy Hua and Bansari Shah
PM-1 Symmetries of the Rubik's Cube Sean Monahan Frank Zhu and Jingwen Shi
PM-2 Distribution of Prime Numbers Ismael El Yasini Sarah Cobean
SAS-1 Basic Asymptotic Statistics Trang Bui Sagun Malwatkar
SAS-2 Causal Inference: Mimicking Potential Outcomes on a Single Individual Henan Xu Jia Sheng Hu and Gioia de Leonardis
SAS-3 An Introduction to Bayesian Inference and Applications Yiran Wang Maisha Thasin and Vani Singh
SAS-4 An Introduction to Causal Inference Jingyue Huang Zhuofan Tang and Sana Thind
SAS-5 Random Walk and Percolation Models Tingzhou Yu Alicia Bremer

Winter 2023
Project Mentor Mentees
AM-1 Consensus seeking in multi-agent systems in both continuous time and discrete time protocols Hassan Qazi Xinyue Fan
AM-2 Neural network-based stability analysis for dynamical systems Ruikun Zhou Zaheer Mohideen

AM-3 Manifold Garden: A Story of Black Holes, Mathematical Theory behind Black Hole Physics

Sri Krithika's Presentation.pdf

 Elly Moghtaderi Sri Krithika Venkatesh

CO-1 Graph Minors

Sneha and Wendy's DRP Presentation.pdf

 Mathieu Rundstrom Wendy Yang and Sneha Elavarasan
CO-2 Incidence Structures, Graphs, and Designs Sabrina Lato Vaani Rajpal
PM-1 Representation theory of algebras and applications Aiden Suter Sissy He and Samantha Pater
SAS-1 An investigation on the spatial autoregressive model Trang Bui Jaimee Yeung
SAS-2 An Introduction to Risk Optimization in Insurance Zhanyi Jiao Xinyu Wu
SAS-3 Arrow-Debreu Equilibria in Competitive Markets Michael Zhu Alicia Byron

Fall 2022
Project Mentor Mentees
CO-1 Graph Limits Lise Turner Mabel Kwok, Ying Shu
CO-2 Theory of Excluding Induced Subgraphs & The Erdős–Hajnal conjecture Aristotelis Chanioties Grace Sung
CO-3 Strongly Regular Graphs Sabrina Lato Erica Han, Laura Cao
AM-1 Ordinary Differential Equations in Mathematical Biology Nat Kendal-Freedman Maisha Thasin, Aadila Ali Sabry
PM-1 Mathematics of quantum field theory Aiden Suter Lily Mueller
PM-2 The Riemann-Roch Theorem for Curves Brady Ali Medina Remington Zhi
PM-3 Introduction to Non-Formking in Stable Theories Christine Eagles Lejing Li

Spring 2022
Project Mentor Mentees
AM-1 Mathematical modelling for women’s health Melissa Stadt Chloe Li and Chang Liu
AM-2 On the role of the energy loss function in the image force on a charge moving over supported graphene María Rosa Preciado Rivas Siming Xu
CO-1 Chi-Boundedness: What is and isn't known about high chromatic numbers? Alvaro Carbonero Elizabeth Yackoboski
CO-2 Kolmogorov complexity Noah Weninger Jiawen Zhu
PM-1 Diophantine approximation & geometry of numbers Jérémy Champagne Joline Cheng
PM-2 Positive Matrices Larissa Kroell Yiyang Huang and Wendy Lu

PM-3 Mermin-Peres Magic Square Game

Magic Square Game by Jennifer Zhu (PDF)

 Jennifer Zhu

Weixu Chen and Armaan Hussain
SAS-1 Learning from Data Using the Gaussian Process Meixi Chen Alicia Mathew

See the list of similar programs at other institutions here.