Anna Medvedovsky Postdoctoral fellow, Max-Planck-Institut für Mathematik, 2016-2018 Research interests: modular forms, Hecke algebras, Galois representations, mod-p phenomena Curriculum vitae Updated December 2016.

Preprints Lower bounds on dimensions of mod-p Hecke algebras in the genus-zero case. Coming soon. An explicit universal Galois representation on the mod-3 Hecke algebra. Preprint. Nilpotence order growth of recursion operators in characteristic p. Preprint.

Project notes 1. Lower bounds on dimensions of mod-p Hecke algebras Poster slides: Short. An overview. Some pretty pictures. Ph.D. thesis in entirety. Not short. Data: Hecke recursion polynomials in level one mod small primes. 2. Distribution of Fourier coefficients of modular forms modulo p Modular forms modulo 3 of level one A universal Galois representation on the Hecke algebra (speed talk slides) Data: A convenient basis for the space of forms, in the spirit of Nicolas and Serre.

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