Topic: number theory

Tenure-track appointment expected to start July 1, 2027. All areas of pure mathematics are considered, with particular interest in number theory, algebra and topology. Requires a PhD and excellence or strong potential in research and teaching; responsibilities include graduate supervision and undergraduate and graduate teaching. Salary: CAD 120,000–160,000 annually. Apply through this MathJobs posting with a cover letter, CV, research statement, a short account of significant research contributions and at least four references, including one addressing teaching. November 30, 2026 is the full-c

Harvard Mathematics offers a three-year postdoctoral position beginning July 1, 2027, supervised by Melanie Matchett Wood. Research concerns arithmetic statistics, analytic number theory, random algebraic structures and connections including algebraic topology, with collaboration across the Simons network. Fellows work on campus. The advertised postdoctoral salary range is USD 67,600–80,000; appointment depends on funding and satisfactory performance. Applications received before December 1, 2026 receive priority; MathJobs lists December 1 as the application date.

Holly Krieger discusses arithmetic dynamics: how repeatedly applying simple mathematical rules connects number theory with dynamical systems. The conversation explores the patterns and difficult questions that arise when numbers and iteration meet, providing an accessible route into an active area of mathematical research.

Steven Strogatz and Harvard mathematician Melanie Matchett Wood explore what counts as evidence in number theory before a rigorous proof is available. Their discussion examines how probability and randomness guide conjectures about prime numbers and infinite collections, and how probabilistic patterns can lead mathematicians toward certainty.