← NSFGrants
HomeNsf Awards

Arithmetic Statistics via Homological Stability — NSF Award to Harvard University (MA, $188,518)

Many important questions in number theory concern the statistical behavior of numbers. For example, a classical such question asks what the chance is that a random integer has no repeated prime factors. The PI will investigate several important open questions concerning the statistical behavior of the integers and rela

Award titleArithmetic Statistics via Homological Stability
Award ID2449797
AwardeeHarvard University
CityCAMBRIDGE
StateMA
Amount obligated$188,518
Principal investigatorAaron Landesman
ProgramALGEBRA,NUMBER THEORY,AND COM
Start date06/01/2026
AbstractMany important questions in number theory concern the statistical behavior of numbers. For example, a classical such question asks what the chance is that a random integer has no repeated prime factors. The PI will investigate several important open questions concerning the statistical behavior of the integers and related objects of interest. The PI has recently made progress toward these questions by bringing in new ideas from several disparate areas of mathematics. The PI plans to continue inv
SourceNSF Awards

🔍 Search all NSF awards →