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- Raghuram, A. - - Tata Institute of Fundamental Research. Langlands Program: Representation theory of p-adic groups; Automorphic representations and their associated L-functions. Papers and thesis.
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- Ramakrishnan, B. - - Harish-Chandra Research Institute. Number theory and automorphic forms.
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- Ren Xiumin - - Shandong University. Additive problems; Exponential sums over prime variables.
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- Rio, Anna - - Universitat Politècnica de Catalunya. Galois representations, elliptic curves, modular forms.
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- Robertson, Leanne - - Smith College. Algebraic number theory; Class groups and class numbers; Power integral bases; Cyclotomic fields. Publications.
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- Rose, Harvey - - University of Bristol. Problems concerning small classes of recursive functions; Number theory of elliptic curves. Publications, teaching material.
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- Rouse, Jeremy - - University of Wisconsin-Madison. Number theory, with particular interest in elliptic curves and modular forms; Combinatorics. Publications.
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- Rubin, Karl - - University of California, Irvine. Arithmetic algebraic geometry. Publications, lecture notes.
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- Rubinstein, Michael - - University of Waterloo. Experimental number theory. Publications, software for L-functions, tables of modular polynomials.
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- Rudnick, Zeev - - Tel-Aviv University. Number theory; quantum chaos.
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