Inbar Klang's academic homepage

Hello! I am a Ritt Assistant Professor at the Columbia Department of Mathematics.

Contact: klang (at) math.columbia.edu. Office: 629 Mathematics. Pronouns: she/her/hers.

Teaching

Research

Research interests:

I work in algebraic topology, in particular homotopy theory. I currently enjoy thinking about:

• (Topological) Hochschild homology and cohomology, factorization homology
• Fixed point theory
• Floer homotopy theory

Papers (submitted or published):

• A shadow framework for equivariant Hochschild homologies, with Katharine Adamyk, Teena Gerhardt, Kathryn Hess, and Hana Jia Kong. Under revision for International Mathematics Research Notices.
• Isovariant homotopy theory and fixed point invariants, with Sarah Yeakel. Under revision for Advances in Mathematics.
• Equivariant nonabelian Poincare duality and equivariant factorization homology of Thom spectra, with Asaf Horev and Foling Zou, appendix by Jeremy Hahn and Dylan Wilson.
• Computational tools for twisted topological Hochschild homology of equivariant spectra, with Katharine Adamyk, Teena Gerhardt, Kathryn Hess, and Hana Jia Kong. Topology and its Applications (2022): 108102.
• The May-Milgram filtration and E_k cells, with Alexander Kupers and Jeremy Miller. Algebraic & Geometric Topology 21:1 (2021), 105-136.
• Twisted Calabi-Yau ring spectra, string topology, and gauge symmetry, with Ralph Cohen. Tunisian Journal of Mathematics 2.1 (2020) 147-196.
• The factorization theory of Thom spectra and twisted nonabelian Poincaré duality. Algebraic & Geometric Topology 18 (2018) 2541-2592.

CV