Dr. Herman Rohrbach

Former member at ESAGA

Email: hermanrohrbach - at - gmail.com

About

My preferred pronouns are they/them. I'm a postdoc with Marc Levine working primarily on Hermitian K-theory. My current areas of interest include motivic homotopy theory, higher category theory, equivariant cohomology and derived categories, as well as automated theorem proving in Lean4. I'm currently working on an analogue of the Atiyah-Segal completion theorem for Hermitian K-theory, which sits at the intersection of motivic homotopy theory, representation theory and the theory of derived categories of schemes.

Publications

H. Rohrbach, The Projective Bundle Formula for Grothendieck-Witt spectra, Journal of Pure and Applied Algebra 226.5 (2022),

https://doi.org/10.1016/j.jpaa.2021.106917

H. Rohrbach, On the Atiyah-Segal completion theorem for Grothendieck-Witt theory, PhD Thesis, Bergische Universität Wuppertal,

https://doi.org/10.25926/q300-3d49

Preprints

J. Pajwani, H. Rohrbach and Anna M. Viergever, Compactly supported 𝔸¹-Euler characteristics of symmetric powers of cellular varieties,
https://arxiv.org/abs/2404.08486

J. Hornbostel, H. Rohrbach and M. Zibrowius, Atiyah-Segal completion for the Hermitian K-theory of symplectic groups,

https://arxiv.org/abs/2310.10824

H. Rohrbach, Hermitian K-theory of Grassmannians,

https://arxiv.org/abs/2309.14896

H. Rohrbach, On Atiyah-Segal completion for T-equivariant Hermitian K-theory,

https://arxiv.org/abs/2203.15518

Master's Thesis

H. Rohrbach, The Geometry of the Gauss Map and Moduli of Abelian Varieties, https://www.universiteitleiden.nl/binaries/content/assets/science/mi/scripties/rohrbachmaster.pdf