Research

My research interests are category theory and algebraic topology.

Selected Talks

• 2023 Applied Category Theory Conference: Monoidal structures on generalized polynomial categories.

• 2023 Joint Mathematics Meetings: AMS Special Session on Applied Category Theory (a Mathematics Research Communities Session), Monoidal structures on generalized polynomial categories. Abstract

• 2022 AGI Conference: Technical Keynote, Polynomial Functors: Natural Formal Models of Interaction. Video

Selected Works

• Nelson Niu and David I. Spivak. Polynomial Functors: A Mathematical Theory of Interaction. Accepted for publication with Cambridge University Press. arXiv:2312.00990

• Joseph Dorta, Samantha Jarvis, and Nelson Niu. Monoidal structures on generalized polynomial categories. May 2023. arXiv:2305.05655

• Nelson Niu and David I. Spivak. Collectives: Compositional protocols for contributions and returns. Dec. 2021. arXiv:2112.11518

There is a full list of my papers, preprints, and talks in my CV.