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- Pacelli, Allison M. - Williams College. Arithmetic of function fields. Preprints, teaching information.
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- 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.
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- Parsell, Scott - Butler University. Exponential sums; Hardy-Littlewood method; Diophantine problems. Papers, thesis.
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- 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.
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- Pierce, Lillian - Princeton University. Analysis and number theory. Publications, junior, senior and MSc theses.
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- Pinch, Richard - Computational number theory, arithmetic of elliptic curves, algebraic combinatorics and public-key cryptography. Publications, tables of Carmichael numbers and pseudoprimes.
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- 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.
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- Pollard, John M. - Factoring, discrete logarithms. Originator of the p-1, lambda, rho and kangaroo methods.
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- Pomerance, Carl - Dartmouth College. Analytic and computational number theory. Publications.
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- Prasad, Dipendra - Tata Institute for Fundamental Research. Algebraic number theory, Automorphic forms, Representation theory. Publications.
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- Pries, Rachel - Colorado State University. Arithmetic geometry, specifically Galois theory of curves in characteristic p. Publications.
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