Peluse's interest in mathematics was sparked by a sixth-grade teacher using the
Socratic method. After skipping seventh grade and running through all of the mathematics available at her local high school and community college, she enrolled at
Lake Forest College in Illinois at age 15. The mathematics on offer there lasted her only for another two years, so she transferred to the
University of Chicago, with
Paul Sally and later
Maryanthe Malliaris as mentors. She also became a member of the University of Chicago track and field team, which competed at two national championship meets, and she was recognized as a Division III All-Academic Athlete by the
NCAA. She earned a bachelor's degree in mathematics in 2014. Peluse completed her Ph.D. at
Stanford University in 2019. Her dissertation,
Bounds for sets with no nontrivial polynomial progressions, was supervised by
Kannan Soundararajan. She became an NSF Postdoctoral Fellow at the
University of Oxford, and then a Veblen Research Instructor at
Princeton University and the
Institute for Advanced Study, before taking her position as a faculty member at the
University of Michigan. In September 2024, she became an associate professor of mathematics at Stanford.
Research With Sean Prendiville, Peluse found effective bounds on polynomial progressions in dense sets of integers. Jointly with Rachel Greenfeld and
Marina Iliopoulou, Peluse proved a structure theorem for integer distance sets in the set . It is well known that a circle or a line are the two structures within which integer distance sets can be found. (There are integer distance sets with seven points, no three points on a line, no four on a circle. No such set with eight or more points is known.) Peluse and Soundararajan extended earlier work of Peluse and others to prove Miller's conjecture in the representation theory of symmetric groups: almost all entries in the character table of the symmetric group are multiples of any given prime. ==Recognition==