Research

My research broadly is in the field of Network Analysis, specifically focused on studying features of real data and constructing and analyzing graph models which maintain those features. A network, in this case, is a set of nodes (people, web pages, etc) connected by edges (physical connection, collaboration, etc). I am interested in random graph models, which are used to study how well an algorithm may do on a real-world network, and for testing properties that may further improve algorithms.

My research is at the intersection of math and computer science. I love using computational tools to explore (and validate!) hypotheses.

Summer MAP

I am planning to take up to 4 students for Summer 2020.  Projects will be focused on constructing higher-order graph models and tools. There will be mathematical and programming components. I will likely ask you to do your coding in Julia or Python. A description of the projects I am interested in can be read about on GrinnellShare.

Students interested in doing a summer MAP with me need to do the following two things:

  • Fill out the Science Summer Research Application Form, found on GrinnellShare. This is due February 21, 2020.
  • Fill out this application. This is due February 21, 2020.

If you’d like to discuss the possibility of working with me I’d be happy to chat with you in person.

Publications

Preprints

  • On Large-Scale Dynamic Topic Modeling with Nonnegative CP Tensor Decomposition.Preprint
  • Chase-escape with death on Trees. Preprint

2019

  • Centrality in Dynamic Competition Networks.
    Accepted for publication at Complex Networks 2019. Preprint
  • Classes of Preferential Attachment and triangle Preferential Attachment models with Power-law Spectra. The Journal of Complex Networks. Link
  • Coin-flipping, Ball-dropping, and Grass-hopping for Generating Random Graphs from Matrices of Edge Probabilities. SIAM Review. Link

2018

  • The HyperKron Graph Model for higher-order features.
    IEEE International Conference on Data Mining (ICDM), 2018. Link
  • Development of CNNs for feature extraction.
    Algorithms for Synthetic Aperture Radar Imagery, International Society for Optics and Photonics. Link
  • Dynamic Competition Networks: detecting alliances and leaders.
    Algorithms and Models for the Web Graph. Link

2017

  • Revisiting Power-law Distributions in Spectra of Real World Networks.
    Proceedings of the 23rd ACM SIGKDD International Conference on Knowledge Discovery and Data Mining (KDD ’17). Link
  • Measurement of the Energy-Dependent Angular Response of the ARES Detector System and Application to Aerial Imaging. IEEE Transactions on Nuclear Science. Link