Curriculum Vitae

Education:

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Ph.D. Mathematics, University of Virginia, 2019

Advisor: Nichols Kuhn

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B.S. Mathematics, Cal Poly SLO, 2013

B.A. Physics, Cal Poly SLO, 2013

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Employment:

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Instructor, University of Virginia, 2014-present

Instructor, Eastern Mennonite University, Oct. 2019-present

 

REU (research assistant), Cal Poly SLO, summer '11 and '12

Intern, Teledyne MEC, summer 2010

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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)

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Presentations and Talks:

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The Atiyah-Singer Index theorem: Part 1 and 2, Topology Seminar, UVA

 

Geometric Cobordism: cobordism categories and Madsen-Weiss fibre bundle theory, Topology Seminar, UVA

 

Organizer: Seminar on the Proof of Mumford's conjecture.

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A more detailed CV can be found here

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