Past DRP Projects

Winter 2024 mentors and their 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 Avery Cormier
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.