My current research revolves around geometric Galois actions, operads and questions related to finite type invariants of knots. The questions I am \nworking on are motivated by the study of embedding spaces and Drinfeld’s Grothendieck-Teichmueller group which, in turn, has links to the absolute Galois group of rational numbers and the theory of motives.<\/p>\n\n\n\n
I am a US based participant of the International Research Network Arithmetic & Homotopic Galois Theory<\/a>.<\/p>\n\n\n\n \nThe term “GT-shadow” could have been introduced in paper \nApproximating Galois orbits of dessins<\/a> by David Harbater and Leila Schneps from 1997. The authors used a different (but equivalent) definition of the Grothendieck-Teichmueller group but all the original ideas for “approximations” can be found \nin their paper.<\/p>\n\n\n\n Documentation<\/a> for the package that allows one to compute Tamarkin’s Ger-infinity structure on Hochschild cochains recursively. This package<\/a> accompanies the joint paper<\/a> with Geoffrey Schneider.<\/p>\n\n\n\n My PhD thesis<\/a> in mathematics. And… here is the erratum<\/a>.<\/p>\n\n\n\nExploration of Grothendieck-Teichmueller(GT)-shadows and their action on Grothendieck’s child’s drawings<\/h4><\/p>\n\n
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Other useful things<\/h4><\/p>\n\n\n\n