I am a doctoral candidate in the Division of Applied Mathematics at Brown University. My primary research interests include applied toplogy and utilizing methods from topological data analysis to study dynamical systems and biological phenomena. I am also interested in machine learning applications.

My research advisor is Björn Sandstede, and I am co-advised by Andrew Blumberg at the University of Texas at Austin. I am a recipient of the National Science Foundation GRFP award. Prior to coming to Brown, I recieved my B.A. degree in mathematics from the College of the Holy Cross, where I was advised by David Damiano.

Currently, I serve as President of the Brown University Chapter of SIAM, I co-organize the Applied Topology and Geometry Seminar at Brown, I co-organize the Horizons Reading Group, "Are We Putting Too Much Faith in Math?", and I serve as the one of the Faculty Graduate Student Liaisons for the Division of Applied Mathematics. Additionally, I participate in the Math CoOp at Brown University.


Melissa R. McGuirl
Ph.D. Candidate

Room 209, 170 Hope Street
Providence, RI

melissa_mcguirl at brown dot edu

Postal Address:
Division of Applied Mathematics
Brown University, Box F
182 George Street
Providence, RI 02912

News and Events

Instructor of Applied Ordinary Differential Equations
Brown University
2018 Summer Session

I am teaching APMA 0350: Applied ordinary differential equations at Brown University for the 2018 summer session.

TRIPODS Summer Bootcamp: Topology and Machine Learning at ICERM
August 6-10, 2018

I am co-organizing this TRIPODS workshop on Topology and Machine learning at ICERM. The workshop will consist of a hands-on tutorial and mini research conference.

Tutorial on Multiparameter Persistence, Computation, and Applications at the IMA
August 13-15, 2018

I was invited to participate in this tutorial, aimed at early-career researchers, which will cover multiparameter persistence and its applications.

Invitation to speak at the SIAM Central States Section Meeting in Norman, Oklahoma
October 5-7, 2018

I was invited to speak at the Applied Topology mini-symposium at the SIAM Central States Section, which will focus on connections between computational topology, robotics, data analysis, machine learning, and dynamical systems.

SE and SnL Diagrams:
Flexible Data Structures for MIR (Music Information Retrieval)

This paper in collaboration with Katherine Kinnaird, Claire Savard, and Erin Bugbee has been accepted for publication in the Proceedings of the 19th ISMIR conference.

A Topological Analysis of Targeted In-111 Uptake in SPECT Images of Murine Tumors

This paper in collaboration with David Damiano (College of the Holy Cross) has been published in the Journal of Mathematical Biology.

Assimilating Eulerian and Lagrangian data in traffic-flow models

This paper in collaboration with Chao Xia, Courtney Cochrane , Joseph DeGuire, Gaoyang Fan , Emma Holmes, Patrick Murphy, Jenna Palmer , Paul Carter, Laura Slivinski, and Björn Sandstede has been published in Physica D.

Contributed Talk Accepted to the Advancing Women's Impact in Mathematics Symposium at WPI

I spoke on "A Topological Analysis of Model Sensitivity and Classification for Pattern Formation on Zebrafish" at the 2018 Advancing Women's Impact in Mathematics Symposium (AWIMS) at WPI.

The Applied Topology and Geometry Seminar

Elchanan Solomon and I co-organize this seminar which hosts a variety of speakers whose research lies at the intersection of geometry and topology with data science or other fields. We are generously funded by the Data Science Initiative at Brown.

Are we putting too much faith in math?

Sunny Yang Xiao and I co-organize this Horizons reading group which focuses on investigating and reflecting on the social impact of mathematical and computational research. We are generously funded by the Women and Mathematics Program at IAS.

Math CoOP Presentation:
Fun with Graph Theory for Kids

As a member of The Math CoOp at Brown, I help to come up with new and fun ways to present mathematics to all grade levels. Based on work by Joel David Hamkins , I created a presentation on graph theory for elementary school students. Feel free to take it for your own use!

Faculty Graduate Student Liaison

Stephanie Dodson, Karen Larson, and I orchestrate faculty-grad interactions at the Division of Applied Mathematics and communicate any concerns or questions. APMA students, if you have concerns, comments, or questions about DAM, please fill out our anonymous form.