Lillian Beatrix Pierce
- Associate Professor of Mathematics
Research Areas and Keywords
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
Fellowships, Supported Research, & Other Grants
Pierce, LB, and Yung, PL. "A polynomial Carleson operator along the paraboloid." Revista Matemática Iberoamericana (2018).
Heath-Brown, DR, and Pierce, LB. "Averages and moments associated to class numbers of imaginary quadratic fields." 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." Journal of Functional Analysis 273.10 (November 2017): 3262-3294. Full Text
Pierce, LB. "The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]." AstÉrisque (July 4, 2017).
Heath-Brown, DR, Pierce, LB, Heath-Brown, DR, and Pierce, LB. "Simultaneous integer values of pairs of quadratic formsSimultaneous integer values of pairs of quadratic forms (PublishedPublished)." Journal fur die Reine und Angewandte Mathematik 2017.727 (June 1, 2017): 85-143. Full Text
Guo, S, Pierce, LB, Roos, J, and Yung, P. "Polynomial Carleson operators along monomial curves in the plane." Journal of Geometric Analysis (2017).
Pierce, LB, Turnage-Butterbaugh, CL, and Wood, MM. "An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups." (submitted) (2017).
Pierce, L. "Burgess bounds for multi-dimensional short mixed character sums." Journal of Number Theory 163 (June 2016): 172-210. Full Text
Pierce, LB, Schindler, D, and Wood, MM. "Representations of integers by systems of three quadratic forms." Proceedings of the London Mathematical Society 3.113 (2016): 289-344.
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 »
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 »