John Berman’s CV / Resume

Work experience

  • 2024– Team Leader, United States IMO team (International Math Olympiad)
  • 2025– Academic Director, MOP (Math Olympiad Program)
  • 2025– Executive Director, Epsilon Camp
  • 2021-2022 Visiting Assistant Professor, UMass Amherst
  • 2018-2021 Visiting Assistant Professor, UT Austin

Education

  • 2018 PhD, University of Virginia
  • 2013 BS, MIT

Courses offered

  • GeodeMath courses: algebra, combinatorics, geometry, number theory, complex numbers and trigonometry, introduction to proofs, advanced proofs
  • middle/high school courses: non-Euclidean geometry, set theory, group theory in geometry, polyhedra, projective geometry
  • college courses: calculus 1,2,3, linear algebra, probability, introductory and advanced abstract algebra
  • research reading courses for college students: homological algebra, homotopy theory, Floer theory, category theory, topos theory

Research papers

  • Ramification and descent in homotopy theory and derived algebraic geometry. arXiv
  • Enriched infinity categories I: enriched presheaves. arXiv
  • On lax limits in infinity categories. arXiv
    Proceedings of the AMS, 2024
  • (with D. Erman) Interpolation over \mathbb{Z} and torsion in class groups. arXiv
    Journal of Commutative Algebra, 2022
  • THH and traces of enriched categories. arXiv
    International Math Research Notices, 2020
  • Higher Lawvere theories. arXiv
    Journal of Pure and Applied Algebra, 2020
  • Euler characteristics of finite homotopy colimits. arXiv
    Homology, Homotopy, and Applications, 2020
  • On the commutative algebra of categories. arXiv
    Algebraic and Geometric Topology, 2018
  • (with S. Bernstein) The structure of stable vector fields on surfaces.
    MIT Undergraduate Research Journal, 2010