Curriculum Vitae
John D. Berman
jberman@math.utexas.edu
Education
2013-2018 University of Virginia: PhD in Mathematics
2009-2013 MIT: BS in Mathematics
2005-2009 John T. Hoggard High School (Wilmington, NC)
Appointments
2018- University of Texas at Austin: NSF Postdoctoral Fellow
Teaching Experience
UT
Spring 2020 Algebraic Structures I
Fall 2019 Linear Algebra
UVA
Spring 2018 Calculus 3
Fall 2017 Applied Calculus 2
Fall 2017 Challenging Problems in Mathematics
Spring 2017 Probability and Finite Math
Spring 2016 Applied Calculus 2
Fall 2015 Applied Calculus 1
Spring 2015 Applied Calculus 2
UVA (teaching assistant)
Fall 2014 Calculus 3
Papers
“THH and traces of enriched categories.” Submitted, https://arxiv.org/abs/1911.01341
“Interpolation over Z and torsion in class groups.” Submitted, https://arxiv.org/abs/1905.12097
“Euler characteristic and homotopy cardinality.” Submitted, https://arxiv.org/abs/1811.07437
“Higher Lawvere theories” Submitted, https://arxiv.org/abs/1903.02991
“Euler characteristics of finite homotopy colimits.” Homology, Homotopy, and Applications (to appear).
“On the commutative algebra of categories.” Algebraic and Geometric Topology 18-5 (2018), 2963-3012.
(with S. Bernstein) “The structure of stable vector fields on surfaces.” MIT Undergraduate
Research Journal (2010)
Professional Activities
Mathematical Association of America (MAA) and American Mathematics Competitions (AMC)
2019-2022 Member, USA Math Olympiad Editorial Board
2018-2019 Member, Subcommittee on the USA Math Olympiad
International Math Olympiad (IMO)
2017 Coordinator (grader)
2015 Deputy Team Leader (United States team) – 1st place victory
2013, 2014 Observer (United States team)
Math Olympiad Summer Program (United States training for the IMO)
2015 Assistant Director
2010-2014 Grader
University of Virginia
2015-2017 Putnam team coach
Fall 2015 Organized graduate student seminar in homotopy theory
Spring 2015 Organized graduate student seminar in topology
UVA Math Ambassadors (middle and high school outreach in Charlottesville, VA)
2017 Advised Intel project for Albemarle High School student Henry Kwon
2013-2017 Outreach to middle school classrooms and Albemarle High School math team
2014-2015 MATHCOUNTS coach – Jack Jouett middle school
Idea Math (summer program for middle and high school students in California and New Hampshire)
2014, 2016 Instructor (combinatorics and number theory)
Honors and Awards
2018-2021 NSF postdoctoral fellow
2013 Finalist, Jefferson Fellowship (University of Virginia)
2009, 2010 Honorable mention, William Lowell Putnam Mathematical Competition
2009 Gold medal, International Mathematical Olympiad (IMO)
2009 Bronze medal, International Linguistics Olympiad (IOL)
Talks at Conferences and Workshops
3/2019 AMS Sectional Meeting (Honolulu, HI), “Spaces with rational Euler characteristic.”
12/2018 CMS Winter Meeting (Vancouver, BC), “Spaces with rational Euler characteristic.”
4/2018 AMS Sectional Meeting (Nashville, TN), “Group cohomology via Morita theory.”
7/2016 West Coast Algebraic Topology Summer School (Eugene, OR), “Lifting formal group laws
to topology.”
12/2015 Workshop on Equivariant Stable Homotopy Theory and Parametrized Higher Category
Theory (Glasgow, Scotland), “Burnside categories encoding structure on symmetric
monoidal categories.”
4/2015 MIT Talbot Workshop (Mt. Hood, OR), “Formality of models for spaces of long knots.”
1/2012 Joint Mathematics Meetings (Boston, MA), “Cyclic Closures of Finitely Simple Pattern
Classes.”
Seminar Talks
10/2019 Texas Christian University (colloquium), “Spaces with rational Euler characteristic.”
10/2019 UCLA, “Trace functors and THH of enriched categories.”
10/2019 Notre Dame, “Trace functors and THH of enriched categories.”
4/2019 MIT, “Spaces with rational Euler characteristic.”
12/2018 OSU, “Spaces with rational Euler characteristic.”
9/2018 UT Austin, “K-theory via categorified algebra.”
2/2018 Johns Hopkins, “Group cohomology via Morita theory.”
2015-2018 UVA (5 times, various)
10/2017 UIC, “Commutative algebra of categories.”
10/2017 UChicago, “Towards homotopical Tambara functors.”
Conferences and Workshops Attended
10/2019 Mayday 2019 (Chicago, IL)
3/2019 AMS Sectional Meeting (Honolulu, HI)
12/2018 CMS Winter Meeting (Vancouver, BC)
4/2018 AMS Sectional Meeting (Nashville, TN)
4/2017 Invertibility and Duality in Derived Alg. Geo. and Homotopy Theory (Regensburg, Germ.)
3/2017 Shanks Workshop on Homotopy Theory (Nashville, TN)
8/2016 West Coast Algebraic Topology Summer School (Eugene, OR)
3/2016 Mid-Atlantic Topology Conference (Baltimore, MD)
2/2016 Equivariant Derived Algebraic Geometry (Banff, Canada)
12/2015 Workshop on Equivariant Stable Homotopy Theory and Parametrized Higher Category
Theory (Glasgow, Scot.)
4/2015 Mid-Atlantic Topology Conference (Charlottesville, VA)
4/2015 MIT Talbot Workshop (Mt. Hood, OR)
10/2012 Daniel Quillen Memorial Conference (Cambridge, MA)
1/2012 AMS/MAA Joint Mathematics Meetings (Boston, MA)
