Harry Crane is Associate Professor and Co-Director of the Graduate Program in Statistics and Biostatistics, and Affiliated Faculty in the Graduate Program in Philosophy at Rutgers University. He is co-founder of Researchers.One, an innovative platform for peer review and scholarly publication and initiative for intellectual reform. Crane is currently Chancellor's Excellence Scholar (2018-2020) at Rutgers University and Fellow at the London Mathematical Institute, and has previously held positions as a Visiting Scholar in Mathematics at UC Berkeley, Research Associate at the RAND Corporation, and Research Fellow at the Foreign Policy Research Institute. Harry received his PhD in Statistics from the University of Chicago and BA in Mathematics and Economics from the University of Pennsylvania.
I work on probability, statistics, logic, and their applications to complexity science and the foundations of complex data analysis.
My focus is complementary to recent trends in "Big Data", whose core challenge lies in scaling up existing methods to handle larger data sets.
In complex data analysis, the central challenges are conceptual, concerning basic questions of how complex structures can be represented mathematically and analyzed computationally.
Networks are the most basic complex data structures, for which I have written a book on Probabilistic Foundations of Statistical Network Analysis.
Invariance principles are a common theme in this work, mostly in the concept of exchangeability and its variants (partial exchangeability, relative exchangeability, edge exchangeability, relational exchangeability), and their limitations for modeling complex data structures.
Toward a more general framework for complex data analysis, my recent work draws on a range of techniques from probability theory, logic, combinatorics, homotopy type theory, category theory, and the Univalent Foundations of mathematics.
Preferred Contact: @HarryDCrane unless we have an ongoing email correspondence or material is private/sensitive and cannot be handled publicly. (Note: I receive too much email. Time constraints force me to ignore all but the most urgent items.)
Students needing CPT, OPT, or reduced credit approval from me should print this form: OPT, CPT, reduced credit.