Home Page for Connor Malin
I am a graduating fifth year Ph.D. student in the Math Department at the University of Notre Dame under the supervision of Mark Behrens. I research interactions between homotopy theory and geometry. I like to think about these problems through the lens of functor calculus and Koszul duality.
I currently have projects in the works on Goodwillie calculus, orthogonal calculus, and zero-pointed manifold calculus.
In July, I will be starting a postdoc at the Max Planck Institute in Bonn.
E-mail: cmalin [at] nd [dot] edu
Curriculum Vitae (CV)
Publications and preprints:
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One point compactifications of configuration spaces and the self duality of the little disks operad. 2023.
arxiv
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Koszul self duality of manifolds. 2023. To appear in Journal of Topology
arxiv
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The stable embedding tower and operadic structures on configuration spaces. 2022. To appear in Homology, Homotopy and Applications.
arxiv
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An elementary proof of the homotopy invariance of stabilized configuration spaces. 2022. To appear in Proceedings of the AMS.
arxiv
Here are some slides covering my current and past research:
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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.