# Lillian Beatrix Pierce

- Associate Professor 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

##### Links

### Research Areas and Keywords

##### Analysis

##### Number Theory

### Selected Grants

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

von Neumann Fellow awarded by Institute for Advanced Study (2017 to 2018)

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

Ellenberg, J, Pierce, LB, and Wood, MM. "On ℓ-torsion in class groups of number fields." *Algebra and Number Theory* 11.8 (2017): 1739-1778.
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.

## 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 »

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 »