Research

Cartoon picture of Phil Chodrow with a background containing mathematical symbols. 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.

The illustration above is by friend and collaborator Izabel Aguiar.

2025

Hypergraph link prediction via hyperedge copying
Hypergraph link prediction via hyperedge copying
Xie He, PSC, and Peter J. Mucha
arXiv preprint arXiv:2502.02386 (2025)

hypergraphs
network algorithms
link prediction

The illusion of households as entities in social networks
The illusion of households as entities in social networks
Izabel Aguiar, PSC, and Johan Ugander
arXiv preprint arXiv:2502.14764 (2025)

network analysis
mathematical sociology

Active learning for reducing gender gaps in undergraduate computing and data science
Active learning for reducing gender gaps in undergraduate computing and data science
PSC, Harlin Lee, Natalie Lao, and Vince Monardo
Advances in Data Science: Women in Data Science and Mathematics (WiSDM) 2023 (2025)

data science
pedagogy
computing education

2024

Emergence of polarization in a sigmoidal bounded-confidence model of opinion dynamics
Emergence of polarization in a sigmoidal bounded-confidence model of opinion dynamics
Heather Zinn Brooks, PSC, and Mason Porter
SIAM Journal on Applied of Dynamical Systems (2024)

dynamical systems
agent-based models
opinion dynamics
network analysis

Community detection in hypergraphs via mutual information maximization
Community detection in hypergraphs via mutual information maximization
Jürgen Kritschgau, Daniel Kaiser, Oliver Alvarado Rodriguez, Ilya Amburg, Jessalyn Bolkema, Thomas Grubb, Fangfei Lan, Sepideh Maleki, PSC, and Bill Kay
Scientific Reports (2024)

hypergraphs
network algorithms
clustering

2023

Nonbacktracking spectral clustering of nonuniform hypergraphs
Nonbacktracking spectral clustering of nonuniform hypergraphs
PSC, Nicole Eikmeier, and Jamie Haddock
SIAM Journal on Mathematics of Data Science (2023)

hypergraphs
network algorithms
clustering

Data science and social justice in the mathematics community
Data science and social justice in the mathematics community
Quindel Jones, Andrés R. Vindas Meléndez, Ariana Mendible, Manuchehr Aminian, Heather Zinn Brooks, Nathan Alexander, Carrie Diaz Eaton, and PSC
Notices of the American Mathematical Society (2023)

data science
social justice
mathematics community

2021

Emergence of hierarchy in networked endorsement dynamics
Emergence of hierarchy in networked endorsement dynamics
Mari Kawakatsu, PSC, Nicole Eikmeier, and Dan Larremore
Proceedings of the National Academy of Sciences (2021)

  • Commentary by Simon DeDeo and Elizabeth Hobson
  • Explainer post on SIAM News blog
  • dynamical systems
    agent-based models
    social hierarchy

    Local symmetry and global structure in adaptive voter models
    Local symmetry and global structure in adaptive voter models
    PSC and Peter J. Mucha
    SIAM Journal on Applied Mathematics (2021)

    agent-based models
    dynamical systems
    markov chains
    opinion dynamics

    Generative hypergraph clustering: from blockmodels to modularity
    Generative hypergraph clustering: from blockmodels to modularity
    PSC, Nate Veldt, and Austin Benson
    Science Advances (2021)

    hypergraphs
    network algorithms
    clustering

    Space-based observational constraints on NO₂ air pollution inequality from diesel traffic in major U.S. cities
    Space-based observational constraints on NO₂ air pollution inequality from diesel traffic in major U.S. cities
    Mary Angelique Demetillo, Colin Harkins, Brian McDonald, PSC, Kang Sun, and Sally Pusede
    Geophysics Review Letters (2021)

  • Writeup in Chemical and Engineering News
  • data science
    social justice
    environmental science

    2020

    Configuration models of random hypergraphs
    Configuration models of random hypergraphs
    PSC
    Journal of Complex Networks (2020)

    hypergraphs
    markov chains
    network analysis

    Moments of uniformly random multigraphs with fixed degree sequences
    Moments of uniformly random multigraphs with fixed degree sequences
    PSC
    SIAM Journal on Mathematics of Data Science (2020)

    network algorithms
    clustering
    markov chains

    Annotated hypergraphs: models and applications
    Annotated hypergraphs: models and applications
    PSC and Andrew Mellor
    Applied Network Science (2020)

    hypergraphs
    markov chains
    network analysis

    2017

    Structure and information in spatial segregation
    Structure and information in spatial segregation
    PSC
    Proceedings of the National Academy of Sciences (2017)

    data science
    social justice
    mathematical sociology
    information theory

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