Home Page for Connor Malin
I am a postdoc at the Max Planck Institute in Bonn with Peter Teichner as my mentor. I did my Ph.D. at Notre Dame under the supervision of Mark Behrens. I research interactions between homotopy theory and geometry. Currently I am interested in the relations between Goodwillie calculus, orthogonal calculus, and manifold calculus. These relations often manifest themselves in terms of Koszul duality, which I also actively research.
E-mail: malin [at] mpim-bonn [dot] mpg [dot] de
Curriculum Vitae (CV)
Publications and preprints:
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Unstable homotopy groups and Lie algebras. 2024.
arxiv. joint with Mark Behrens
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Koszul duality and a classification of stable Weiss towers. 2024.
arxiv. joint with Niall Taggart
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One point compactifications of configuration spaces and the self duality of the little disks operad. 2024. to appear in Algebraic & Geometric Topology.
arxiv
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Koszul self duality of manifolds. 2023. Journal of Topology.
arxiv
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The stable embedding tower and operadic structures on configuration spaces. 2022. Homology, Homotopy and Applications.
arxiv
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An elementary proof of the homotopy invariance of stabilized configuration spaces. 2022. Proceedings of the AMS.
arxiv
Here are some slides covering my current and past research:
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A covariant manifold calculus in the style of Goodwillie. Victoria Topology Seminar. 2024. PDF
We describe a setting for covariant functor calculus which naturally intertwines the settings of Ayala-Francis, Arone-Ching, and classical Goodwillie calculus.
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Koszul Duality and Functor Calculus. Stockholm Topology Seminar. 2024. PDF
We describe some Arone-Ching type results for functor calculus in the categories of algebras over an operad and in the category of vector spaces and injections.
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Koszul Duality and Manifold Calculus. Advances in Homotopy Theory IV. 2023. PDF
We describe a lift of the theory of Poincare duality spaces and Spivak normal fibrations to operads and apply it to the right modules which show up in manifold calculus.