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Applications of Analytic Uniformity in Arithmetic Statistics — NSF Award to University of Wisconsin-Madison (WI, $13,988)

This project will investigate questions in arithmetic statistics, an area of mathematics concerned with determining the "typical" properties of objects in number theory. In practice, many questions in arithmetic statistics can be fruitfully understood by studying how the underlying objects decompose into simpler object

Award titleApplications of Analytic Uniformity in Arithmetic Statistics
Award ID2618934
AwardeeUniversity of Wisconsin-Madison
CityMADISON
StateWI
Amount obligated$13,988
Principal investigatorRobert Lemke Oliver
ProgramALGEBRA,NUMBER THEORY,AND COM
Start date11/01/2025
AbstractThis project will investigate questions in arithmetic statistics, an area of mathematics concerned with determining the "typical" properties of objects in number theory. In practice, many questions in arithmetic statistics can be fruitfully understood by studying how the underlying objects decompose into simpler objects. Much of the research in this project will be aimed at studying these kinds of decompositions and, particularly, the process of assembling properties of these simpler objects to
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