| 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. |
| Ramakrishnan, B.: Harish-Chandra Research Institute. Number theory and automorphic forms. |
| Ren Xiumin: Shandong University. Additive problems; Exponential sums over prime variables. |
| Richert, Hans-Egon: Obituary from Universitaet Ulm. |
| Rio, Anna: Universitat Politècnica de Catalunya. Galois representations, elliptic curves, modular forms. |
| Robertson, John: Pell's equation, computing in quadratic orders. Notes and resources. |
| Robertson, Leanne: Smith College. Algebraic number theory; Class groups and class numbers; Power integral bases; Cyclotomic fields. Publications. |
| Robinson, Margaret M.: Mount Holyoke. Igusa local zeta functions. |
| Rohrlich, David: Boston University. Number theory. Preprints, errata. |
| Rose, Harvey: University of Bristol. Problems concerning small classes of recursive functions; Number theory of elliptic curves. Publications, teaching material. |
| Rouse, Jeremy: University of Wisconsin-Madison. Number theory, with particular interest in elliptic curves and modular forms; Combinatorics. Publications. |
| Rubin, Karl: University of California, Irvine. Arithmetic algebraic geometry. Publications, lecture notes. |
| Rubinstein, Michael: University of Waterloo. Experimental number theory. Publications, software for L-functions, tables of modular polynomials. |
| Rudnick, Zeev: Tel-Aviv University. Number theory; quantum chaos. |