Research

My research interest lie at the intersection of geometric topology, functional analysis, and homotopy theory. In particular I am interested in invariants associated to manifold bundles.

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A more detailed research statement can be found here

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Publications and Preprints:

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M. Gagne, "Higher signatures and manifold bundles”, in preparation

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M. Gagne, “The family index of the odd signature operator with coefficients in a flat bundle”, https://doi.org/10.18130/v3-wj5d-0t65

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C. Duna, M. Gagne, J. Shapiro, "Toeplitzness of products of composition operators and their adjoints”, Journal of Mathematical Analysis and Applications, vol. 410 (2), page 577-584 (2014)