Michael Shulman
Assistant Professor at University of San Diego
California, United States
Summary
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RockstarMichael Shulman is an assistant professor based in California with 15 years of experience at the intersection of formal mathematics and software development. He contributes deeply to Coq-based projects—such as UniMath and the influential HoTT/Coq libraries—focusing on formalization, refactoring, and adding core lemmas around univalence and (co)limits. His work blends research and technical writing, improving both theorem-proving infrastructure and educational materials like the Homotopy Type Theory book and WeBWorK problem libraries. Colleagues rely on him for rigorous back-end development in proof assistants and for clarifying complex mathematical content for broader use.
15 years of coding experience
Stackoverflow
165reputation
918reached
1answer
7questions
Github Skills (23)
foundation10
mathematics10
webwork10
math10
latex10
coq10
tex10
category-theory10
theorem-proving10
homotopy-type-theory10
documentation10
foundation-sites9
formal-verification9
foundation-models9
calculus8
Programming languages (18)
Github contributions (5)
HoTT/Coq-HoTT
Apr 2011 - Jan 2023
A Coq library for Homotopy Type Theory
Role in this project:
Back-end Developer & Researcher
Back-end Developer & ResearcherContributions:175 reviews, 888 commits, 254 PRs in 11 years 10 months
Contributions summary:Michael's contributions focused on refactoring and improving the Coq library for Homotopy Type Theory (HoTT). They split content from [Fibrations.v] into [Paths.v] and various files in the types directory, added univalence and other lemmas in [types/Universe.v], made other code changes for refactoring and improvements, and started work on definitions for (co-)limits. The user also made various changes to the code for the theory of surreals.
coq-libraryhomotopy-type-theorytype-theoryunivalent-foundations
HoTT/book
Nov 2012 - Apr 2022
A textbook on informal homotopy type theory
Role in this project:Technical Writer
Technical WriterContributions:14 reviews, 1378 commits, 201 PRs in 9 years 7 months
Contributions summary:Michael primarily contributes to the project by modifying documentation files. These changes include editing and adding information to various `.sty` and `.tex` files, as well as updating the `index.el` file. The contributions enhance the clarity and organization of the project's documentation. The user also appears to be involved in refactoring of the documentation and the build processes.
homotopy-type-theory
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