Michael Shulman (mathematician) explained

Michael Shulman
Birth Place:Los Angeles, California
Discipline:Category theory
Homological algebra
Homotopy type theory
Alma Mater:California Institute of Technology
University of Chicago
Workplaces:University of San Diego
Institute for Advanced Study
Doctoral Advisor:J. Peter May

Michael "Mike" Shulman (; born 1980) is an American associate professor of mathematics at the University of San Diego[1] who works in category theory and higher category theory, homotopy theory, logic as applied to set theory, and computer science.

Work

Shulman did his undergraduate work at the California Institute of Technology and his postgraduate work at the University of Cambridge and the University of Chicago, where he received his Ph.D. in 2009.

His doctoral thesis and subsequent work dealt with applications of category theory to homotopy theory.

In 2009, he received a National Science Foundation Mathematical Sciences Postdoctoral Research Fellowship.[2]

In 2012–13, he was a visiting scholar at the Institute for Advanced Study,[3] where he was one of the official participants in the Special Year on Univalent Foundations of Mathematics.[4] Shulman was one of the principal authors of the book Homotopy type theory: Univalent foundations of mathematics,[5] an informal exposition on the basics of univalent foundations and homotopy type theory.[6] In 2014, Shulman was part of a team headed by Steve Awodey that was awarded a $7.5M grant from the Air Force Research Laboratory for homotopy type theory.[7]

Blogs

Shulman is a supporter of using web-based software systems, such as GitHub, to promote collaborative work by mathematicians—the six-hundred-page Homotopy type theory book being a notable example. He is a prolific contributor to the nLab[8] (and a member of its steering committee[9]), and a co-host of the homotopy type theory blog[10] and of the n-Category Cafe, a blog focusing on higher category theory.[11]

Selected publications

External links

Notes and References

  1. Web site: Michael Shulman, PhD . University of San Diego . March 24, 2021.
  2. https://www.ias.edu/scholars/michael-shulman Michael Shulman
  3. Web site: Michael Shulman. Institute for Advanced Study: A Community of Scholars .
  4. Web site: IAS Program Participants Members . IAS school of mathematics: Univalent Foundations of Mathematics. 13 July 2012 .
  5. Web site: HoTT/book Contributions to master, excluding merge commits . GitHub.
  6. Web site: The HoTT Book . The n-Category Café . Mike . Shulman . 20 June 2013.
  7. Web site: Press Release: Carnegie Mellon Awarded $7.5 Million Department of Defense Grant To Reshape Mathematics . Carnegie Mellon University . 28 April 2014.
  8. Web site: nLab Authors .
  9. http://ncatlab.org/nlabmeta/show/steering+committee nLab: steering committee
  10. http://homotopytypetheory.org/blog Homotopy type theory blog
  11. https://golem.ph.utexas.edu/category/shulman.html Shulman postings to n-Category Cafe blog