About

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, pattern formation, 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, and I received the Archambault Teaching Award for Brown's Summer Session. 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 webmaster for the Brown University Student Chapter of SIAM, and I am a member of The Math CoOp at Brown. In the Math CoOp we help to come up with fun ways to present math 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!

Contact

Division of Applied Mathematics
Brown University

Brown University Office:
Room 209, 170 Hope Street
Providence, RI

University of Texas Office:
Room 3.402, P.O.B.
Austin, TX

Email:
melissa_mcguirl at brown dot edu

Github:
MelissaMcGuirl

News and Events

Recipient of the 2018 Archambault Teaching Award for Brown's Summer Session
Providence, RI


I am honored to have received the 2018 Archambault Teaching Award for Brown's summer session. Recipients are selected based on their ability to influence, motivate and inspire students to learn.

Abstract accepted to the Women in Machine Learning Workshop in Montreal
December 3, 2018

I will be presenting a poster titled "Hierarchical Clustering of Gene-Level Association Statistics Reveals Differential Genetic Architecture Between Immunological and Metabolic Phenotypes in the UK Biobank" at the 2018 WiML workshop in Montreal.

Invitation to speak at the SIAM Conference on Applications of Dynamical Systems
May 19-23, 2019

I will be speaking on "A Topological Study of Spatio-Temporal Pattern Formation" in the mini-symposium on Topological Data Analysis and Applications in Dynamical Systems at the SIAM Conference on Applications of Dynamical Systems in Snowbird, UT.

Invitation to speak at the Equadiff conference in Leiden, the Netherlands
July 8 - 12, 2019


I was invited to give a talk in the minisymposium on "Topological data analysis of dynamical systems" at the Equadiff conference in Leiden, the Netherlands next summer.

Fast Estimation of Recombination Rates Using Topological Data Analysis on bioRxiv


This preprint in collaboration with Devon P. Humphreys, Michael Miyagi, and Andrew Blumberg has been posted on bioRxiv.


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


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 Published in JMB


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 published in Physica D: Nonlinear Phenomena

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.

Selected Past Events

  • November 8, 2018: Invited to speak on "A Topological Study of Spatio-Temporal Pattern Formation" at the Texas State University Topology Seminar.
  • October 23-24, 2018: Presented a poster on "Thresholded Hierarchical Clustering of Gene-Level Association Statistics" at the second TRIPODS PI workshop in Santa Cruz, CA.
  • October 5-7, 2018: Invited to speak on "A Topological Approach to Spatio-temporal Pattern Formation" at the Applied Topology Mini Symposium at the SIAM Central States Section Meeting in Norman, Oklahoma.
  • August 13-15, 2018: Invited to participate in the Tutorial on Multiparameter Persistence, Computation, and Applications at the IMA.
  • August 6-10, 2018: Co-organized the TRIPODS Summer Bootcamp: Topology and Machine Learning at ICERM. The workshop consisted of a hands-on tutorial and mini research conference.
  • Summer 2018: Instructor of APMA 0350: Applied Ordiniary Differential Equations at Brown University for the 2018 summer sesstion.
  • Fall 2017-2018: Co-organized the Applied Topology and Geometry seminar at Brown University. (Seminar webpage.)
  • Fall 2017-Spring 2018: Co-organized "Are we putting too much faith in math?," a Horizons reading group that focused on investigating and reflecting on the social impact of mathematical research. We are generously funded by the Women and Mathematics Program at IAS.
  • April 12, 2018: Spoke on "Topological Data Analysis and Applications" at the Spring 2018 Math Slam at Brown University.
  • April 7, 2018: 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.
  • December 4, 2017: Presented a poster on "Classifying Zebrafish Stripe Patterns using TDA and Multi-class SVMs" at the Women in Machine Learning Workshop in Long Beach, CA.
  • November 30, 2017: Spoke on "A Topological Analysis of Model Sensitivity for Pattern Formation on Zebrafish" at the 2017 Brown-BU Dynamics and PDE seminar at Boston University.
  • October 23, 2017: Spoke on "A Topological Analysis of Model Sensitivity for Pattern Formation on Zebrafish" at the Brown University Applied Math Graduate Seminar.
  • Summer 2017: Teaching Assistant for Summer@ICERM: Topological Data Analysis, an 8-week research experience for undergraduates that brought together students from around the world to learn about TDA.