Lillian Beatrix Pierce

  • Assistant Professor in the Department of Mathematics
External address: Duke Box 90320 120 Science Drive,, Room 117 Physics Building, Durham, NC 27708
Internal office address: Duke Box 90320, Room 117 Physics Building, Durham, NC 27708
Phone: (919) 660-2879

Research Areas and Keywords

Analysis
oscillatory integrals, Carleson operators, discrete operators
Number Theory
the circle method, character sums & exponential sums, class numbers, sieve numbers
Education & Training
  • Ph.D., Princeton University 2009

  • M.Sc., Oxford University (U.K.) 2004

  • B.A., Princeton University 2002

CAREER: Research and Training at the Intersection of Number Theory and Analysis awarded by National Science Foundation (Principal Investigator). 2017 to 2022

Re:boot Number Theory awarded by National Security Agency (Principal Investigator). 2016 to 2018

The circle method, character sums, and sieves: Applications to number theory and harmonic analysis awarded by National Science Foundation (Principal Investigator). 2014 to 2017

Heath-Brown, DR, and Pierce, LB. "Averages and moments associated to class numbers of imaginary quadratic fields (Published online)." Compositio Mathematica 153.11 (November 2017): 2287-2309. Full Text

Carneiro, E, Madrid, J, and Pierce, LB. "Endpoint Sobolev and BV continuity for maximal operators (Accepted)." Journal of Functional Analysis 273.10 (November 2017): 3262-3294. Full Text

Heath-Brown, DR, and Pierce, LB. "Simultaneous integer values of pairs of quadratic forms." Journal für die reine und angewandte Mathematik (Crelles Journal) 2017.727 (January 1, 2017). Full Text Open Access Copy

Ellenberg, J, Pierce, LB, and Wood, MM. "On $\ell$-torsion in class groups of number fields." arXiv:1606.06103 [math] (June 20, 2016).

Pierce, LB. "Burgess bounds for multi-dimensional short mixed character sums." Journal of Number Theory 163 (June 2016): 172-210. Full Text

Guo, S, Pierce, LB, Roos, J, and Yung, P. "Polynomial Carleson operators along monomial curves in the plane." arXiv:1605.05812 [math] (May 19, 2016).

Pierce, LB, Schindler, D, and Wood, MM. "Representations of integers by systems of three quadratic forms." arXiv:1509.04757 [math] (September 15, 2015).

Heath-Brown, DR, and Pierce, LB. "Burgess bounds for short mixed character sums." Journal of the London Mathematical Society 91.3 (2015): 693-708. Full Text

Bober, J, Carneiro, E, Hughes, K, Kosz, D, and Pierce, LB. "Corrigendum to “on a discrete version of Tanaka’s theorem for maximal functions”." Proceedings of the American Mathematical Society 143.12 (2015): 5471-5473. Full Text

Alaifari, R, Pierce, LB, and Steinerberger, S. "Lower bounds for the truncated Hilbert transform." arXiv:1311.6845 [math] (November 26, 2013).

Pages

The Association for Women in Mathematics (AWM) has announced that it will present the third AWM-Sadosky Research Prize in Analysis to Lillian Pierce, Assistant Professor of Mathematics, Duke University at the Joint Mathematics Meetings in San Diego... read more »


For centuries, mathematicians tried to solve problems by adding new values to the usual numbers. Now they’re investigating the unintended consequences of that tinkering.... read more »


Lillian Pierce, Assistant Professor in the Department of Mathematics has been offered a CAREER award from the National Science Foundation. The CAREER Award (CAREER: The Faculty Early Career Development Program) is a foundation-wide activity that... read more »


Mathematician Lillian Pierce has moved with her family into Blackwell residence hall, where she'll be faculty-in-residence. Photo by Duke University Photography

As a four-year-old, Lillian Pierce remembers watching her mother balance her checkbook and realizing that the numbers juxtaposed on the page were, in a sense, communicating with each other. “My mother explained that the numbers told her what to... read more »