Research

Publications

Sheaf Theory through Examples
453 pages, MIT Press, October 2022; it's open-access so you can read the full thing online with MIT Press here.
"Towards a Classification of Continuity and On the Emergence of Generality"
516 page Philosophy Dissertation, defended April 2019; 
Abstract; Table of Contents
"Compositional Algorithms on Compositional Data: Deciding Sheaves on Presheaves" (June, 2023) (https://arxiv.org/abs/2302.05575)

Talks (research & educational)

  • “Sheaves for Complex System Modeling and Design” (SIG Mines Paris Design Theory Workshop, Jan 2023)
  • “Some Propaganda for Sheaves: how to think about them, what you can use them for, and where you can find them” (NIST Workshop on Compositional Structures in Systems Engineering and Design, Nov 2022)
  • A Glimpse into Some Ethical Issues in ML (ML graduate seminar, Case Western Reserve University, May 2022)
  • A Sample of Ethical Issues in AI (Clinical Translational Science group, CWRU, March 2022)
  • Some Ethical Issues Introduced via Dilemmas with Autonomous Vehicles (Engineering undergraduate course, CWRU, Feb 2022)
  • Overview of Ethical & Social Issues in AGI and Narrow AI (Inamori International Center for Ethics, CWRU, October 2021)
  • “Enriching over Tolerance Spaces” (MIT, Applied Categories Seminar, August 15, 2019)
  • “Models of Continuity” (Depaul University, Chicago, Dissertation Public Talk, April 2019)
  • “The Idea of a Sheaf” (University of Washington Bothell, February 2019)
  • “Sheaf Theory and the Concept of Continuity” (National University of Colombia, Bogota, Math Department, June 2018)

Miscellaneous/Older