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Hi! I'm Jacob Bradd, a postdoc at Université de Lorraine since Oct 2024.
My email: jacob (dot) bradd (at) univ-lorraine (dot) com
I work in noncommutative geometry, generally around the Connes-Kasparov isomorphism and representation theory of real reductive groups.
My PhD thesis (at Penn State University) was on the Casselman-Wallach algebra of very rapidly decreasing functions, and I prove a structure theorem which implies/refines the Connes-Kasparov isomorphism.
Papers: see preprints here.
Lie groupoids, the Satake compactification and the tempered dual, II: The Harish-Chandra principle, with Nigel Higson and Robert Yuncken. Preprint: https://arxiv.org/abs/2511.22635
Lie groupoids, the Satake compactification and the tempered dual, I: The Satake groupoid, with Nigel Higson and Robert Yuncken. Preprint: https://arxiv.org/abs/2511.22637
Operator K-Theory and Tempiric Representations, with Nigel Higson and Robert Yuncken. Preprint: arXiv:2412.18924
Compatible decomposition of the Casselman algebra and the reduced group -algebra of a real reductive group. Doi: https://dx.doi.org/10.4310/CJM.250319030656
On Novodvorskii’s theorem and the Oka principle, with Nigel Higson. Doi: https://doi.org/10.1007/s40879-021-00462-z
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