Research Interests |
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Number Theory and Algebraic Geometry, with a particular focus on Galois Theory. A few years ago I began studying analogies between finite graphs and Riemann surfaces, which led to my current interest in chip-firing games on graphs. I am also interested in mathematical physics, especially the role of symmetry in quantum mechanics. |
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Papers |
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Graph-theoretic Hurwitz groups, under revision. |
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Harmonic Galois theory for finite graphs, in "Galois-Teichmueller Theory and Arithmetic Geometry" (H. Nakamura, F. Pop, L. Schneps, A. Tamagawa eds.), Advanced Studies in Pure Mathematics, 63 (2012), 121-140. |
Genus bounds for harmonic group actions on finite graphs, Int. Math. Res. Notices, 2011, No. 19 (2011), 4515-4533. |
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Galois covers of the open p-adic disc, manuscripta math., 131, No. 1-2 (2010), 43-61.
The original publication is available at www.springerlink.com
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The pro-p Hom-form of the birational anabelian conjecture (with F. Pop), J. Reine Angew. Math. (Crelle's Journal), 628 (2009), 121-127. |
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