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Julie Bergner

College positions:
Visiting Fellow
Subject:
Mathematics
Department/institution:
University of Virginia
Contact details:
jeb2md@virginia.edu

Professor Julie Bergner

Julie Bergner is a mathematician working in the area of homotopy theory. She received her PhD at the University of Notre Dame, had a postdoctoral position at Kansas State University, and was a faculty member at University of California Riverside before joining the University of Virginia in 2016, where she is now a Professor.

Her research is primarily in the interaction between homotopy theory and higher categorical structures, often giving comparisons between mathematical objects that have different descriptions but encode the same essential structure. Some of her work has connections with representation theory, and more recently, algebraic K-theory. While in Cambridge, she will be participating in the program “Equivariant Homotopy Theory in Context” at the Isaac Newton Institute for Mathematical Sciences.

Julie has advised a number of PhD students, and has been active in the Women in Topology network, which facilitates the success of women in homotopy theory, particularly via collaborative workshops that connect junior and senior researchers in the field.

Select publications

  • Discreteness and completeness for Θn-models for (∞, n)-categories, Tunis. J. Math. 6 (2024) no. 1, 49-96.
  • 2-Segal objects and the Waldhausen construction (with A. Osorno, V. Ozornova, M. Rovelli, and C.I. Scheimbauer), Alg. Geom. Topol. 21 (2021) 1267-1326.
  • Classification of problematic subgroups of U(n) (with R. Joachimi, K. Lesh, V. Stojanoska, and K. Wickelgren), Trans. Amer. Math. Soc., 371 (2019) 6739-6777.
  • Comparison of models for (∞, n)-categories, II (with C. Rezk), J. Topol. 13 (2020), 1554–1581.
  • Comparison of models for (∞, n)-categories, I. (with C. Rezk), Geom. Topol., 17 (2013) 2163-2202.
  • Reedy categories and the θ-construction (with C. Rezk), Math. Z., 274 (1), 2013, 499-514.
  • Three models for the homotopy theory of homotopy theories, Topology 46 (2007), 397-436.
  • A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc. 359 (2007), 2043-2058.

Select awards

  • Association for Women in Mathematics Ruth I. Michler Memorial Prize (2018)
  • NSF CAREER award (2014-2019)

Further links

https://sites.google.com/view/julie-bergner