Research

My research addresses computational, mathematical, and statistical problems in the study of complex systems, especially social systems. My interests include models of evolving networks; network data science; models with polyadic (higher-order) interactions; methods for quantifying segregation and polarization; and identity representation in academic science. I am especially interested in the interplay between mechanistic dynamical modeling and messy data sets. My research is currently supported by the National Science Foundation grant “RUI: Network Evolution with Unobserved Mechanisms.” For my complete research record, see my Google Scholar page.

I do research with students, typically taking 1-2 students each summer and academic year. I’ve also written down some thoughts on what research students can expect from me and what I expect from them.

Illustration by Izabel Aguiar.

Methods of Network Data Science

How do we analyze and learn from network data? I build mathematical foundations for network data science algorithms, with recent focus on networks of higher-order interactions. Much of my work is devoted to developing novel random graph models and applying them in algorithms. Doing so often requires tools from probability, optimization, combinatorics, and random matrix theory.

Models of Polarization, Hierarchy, and Inequality

Human and animal societies are structured by persistent hierarchies, inequalities, and divisions. Dynamical and statistical models can help us understand the extent of these structures, how they form, and under what conditions they persist. I am especially interested in the role of social feedback loops in reinforcing these structures.

Data Science and Social Responsibility

I also use my skills and resources in the service of equity, sustainability, and justice. My efforts here includes both the development of novel methods for social data analysis and work on activist data science projects. I pursue some of this work as a Partner at QSIDE, the Institute for the Quantitative Study of Inclusion, Diversity, and Equity.

Student Research

If you are a Middlebury student interested in working with me as a research collaborator, I have a whole list of FAQs just for you!