Bryan Summer Research Program
Program Description
The Dr. Albert H. & Greta A. Bryan Summer Research Program in Mathematics is an opportunity to spend eight weeks of the summer engaging in mathematics at Simpson College. This summer, five undergraduate students will selected to work on undergraduate research projects with Simpson College faculty members. There will be two groups of two students and one research assistant to assist both groups. Each student receives a stipend and paid on-campus housing during the program. In addition, the students receive funding to present their results at a national mathematics conference.
Tentative 2026 Program Dates
- Bryan Summer Research Program: June 1-July 24, 2026
- Conference Presentation: August 5-8, 2026 at MathFest in Boston, Massachusetts
Classification of Microscopy Images Uinsg Persistent Homology
Data science is a discipline that draws on a wide range of mathematical, statistical, and computational techniques, with the goal of applying them broadly in science, technology, industry. One such class of techniques is known as topological data analysis. In topology, we study geometric features that persist despite deformations to the original shape. Since data science problems can involve noisy or otherwise messy spatial data, topology provides a natural connection to data analysis.
In this project, we will investigate if one topological data analysis tool, persistent homology, can be used to classify microscopy images, while also comparing this method to other classification algorithms. Students will work in the Python programming language to implement a classification algorithm while also learning the underlying theoretical math that drives persistent homology. No prior coding experience is required.
Analysis of Neurocognitive Outcomes of Individuals with Down Syndrome
This project focuses on developing normative neurocognitive data for people with Down syndrome. We will do this using all neuropsychological assessments for patients with Down syndrome, across all ages, for the past 15+ years at the Massachusetts General Hospital Down Syndrome Program. With this historical data, we will have the ability to
- Summarize the normative scores for people with Down syndrome, by age
- Analyze per subgroup: Down syndrome + ADHD diagnosis, for example
- Correlate medical conditions (e.g., obstructive sleep apnea) with neurocognitive outcomes.
- Create a predictive model of outcomes based on characteristics of the individual with Down syndrome
This work will be done in conjunction with Dr. Brian Skotko, the director of the Down Syndrome Program at Massachusetts General Hospital.
No prior programming or statistical knowledge is required.