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Interests
Interests
My research is in arithmetic dynamics. Of particular interest are problems requiring tools from algebraic geometry and Galois theory. Recently, my focus has been on dynamical invariants (the profinite iterated monodromy group and the mapping scheme) of rational maps in positive characteristic, and their behavior upon lifting to characteristic zero.
Papers
Papers
D. Tedeschi, "A Dynamical Lifting Problem for Additive Polynomials" (preprint)
Thesis
Thesis
My master's thesis gives a geometric construction of the profinite iterated monodromy group, namely as a quotient of the Ă©tale fundamental group of the punctured projective line by its action on the backward orbit of a generic point. It also includes proofs of some folklore statements concerning the relationship between the discrete and profinite iterated monodromy groups over the complex numbers.
Iterated Monodromy Groups on the Projective Line (last updated 04/10/25)
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