Past DRP Projects

List of mentors and their projects

Fall 2023:

Project Mentor Mentees
Single-Compartment Conductance-Based Models of Cortical Neurons Maliha Ahmed Erica Han, Vinyga Kumararajah
Introduction to Random Features in Machine Learning Esha Saha Felicity Li, Minqiu Liu, Yixuan Wu
The Tutte Polynomial Josephine Reynes Bandana Bajaj, Zoe Zou
Graph Minors Sepehr Hajebi Xinyue Fan, Lyncy Li
Deep learning for brain-computer interfaces Lena Podina Akira Yoshiyama
Introduction to Explanable AI Trang Bui Sanika Poojary, Jaimee Yeung

Distributions of Arithmetic Functions

Sourabhashis Das

Harshita Pahwa, Xinlei Xu
Introduction to Tropical Geometry Nicole Kitt Zhiqian Ding, Xinran Tian
Transfer Learning from a Statistical Perspective Jie Jian Kun Zhu, Samantha Wallis, Xinran Zheng
An Introduction to Causal Inference Jingyue Huang Christina Feng, Gengyang Chen, Sherry Chang

Spring 2023:

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

Winter 2023:

Project Mentor Mentees

Graph Minors

Sneha and Wendy's DRP Presentation.pdf

Mathieu Rundstrom Wendy Yang, Sneha Elavarasan
Consensus seeking in multi-agent systems in both continuous time and discrete time protocols Hassan Qazi Xinyue Fan
An investigation on the spatial autoregressive model Trang Bui Jaimee Yeung
An Introduction to Risk Optimization in Insurance Zhanyi Jiao Xinyu Wu
Neural network-based stability analysis for dynamical systems Ruikun Zhou Zaheer Mohideen
Arrow-Debreu Equilibria in Competitive Markets Michael Zhu Alicia Byron
Incidence Structures, Graphs, and Designs Sabrina Lato Vaani Rajpal

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

Sri Krithika's Presentation.pdf

Elly Moghtaderi Sri Krithika Venkatesh
Representation theory of algebras and applications Aiden Suter Sissy He, Samantha Pater

Fall 2022:

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

Spring 2022:

Project Mentor Mentees

Diophantine approximation & geometry of numbers

Jérémy Champagne

Joline Cheng

Positive Matrices

Larissa Kroell

Yiyang Huang, Wendy Lu

Mathematical modelling for women’s health

Melissa Stadt

Chloe Li, Chang Liu

Chi-Boundedness: What is and isn't known about high chromatic numbers?

Alvaro Carbonero

Elizabeth Yackoboski

Learning from Data Using the Gaussian Process

Meixi Chen

Alicia Mathew, 

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

Kolmogorov complexity

Noah Weninger

Jiawen Zhu

Mermin-Peres Magic Square Game

Magic Square Game by Jennifer Zhu (PDF)

Jennifer Zhu

Weixu Chen, 

Armaan Hussain

See the list of similar programs at other institutions here.