| Pacelli, Allison M.: Williams College. Arithmetic of function fields. Preprints, teaching information. |
| Papanikolas, Matt: Texas A+M University. Number theory and arithmetic geometry: elliptic curves and Drinfeld modules, in particular canonical heights, special values of analytic functions, L-series and modular forms. |
| Parsell, Scott: Butler University. Exponential sums; Hardy-Littlewood method; Diophantine problems. Papers, thesis. |
| Peneva, Temenoujka: University of Plovdiv "Paisii Hilendarski". Analytic number theory: additive prime number theory, distribution of primes, exponential sums, sieve methods, Riemann zeta-function and Dirichlet L-functions. |
| Petsche, Clayton: University of Georgia. Diophantine geometry and arithmetic; Local and global heights on algebraic varieties; Uniform distribution on locally compact groups; Applications of harmonic analysis to number theory; Mahler measure of polynomials. Teaching notes. |
| Pierce, Lillian: Princeton University. Analysis and number theory. Publications, junior, senior and MSc theses. |
| Pinch, Richard: Computational number theory, arithmetic of elliptic curves, algebraic combinatorics and public-key cryptography. Publications, tables of Carmichael numbers and pseudoprimes. |
| Pizer, Arnold: University of Rochester. Arithmetic of quaternion algebras and its connections to modular forms, Brandt matrices, Hecke operators, and Ramanujan graphs. Pedagogical use of the internet. |
| Plater, Andrew J.: University of Cambridge. Contact information. |
| Pollack, David: Wesleyan University. Thesis "Explicit Hecke Actions on Modular Forms", Harvard, 1998 (PDF). |
| Pollard, John M.: Factoring, discrete logarithms. Originator of the p-1, lambda, rho and kangaroo methods. |
| Pomerance, Carl: Dartmouth College. Analytic and computational number theory. Publications. |
| Prasad, Dipendra: Tata Institute for Fundamental Research. Algebraic number theory, Automorphic forms, Representation theory. Publications. |
| Prasanna, Kartik: UCLA. Modular forms. Thesis, teaching information. |
| Pries, Rachel: Colorado State University. Arithmetic geometry, specifically Galois theory of curves in characteristic p. Publications. |