# 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

##### Links

### Research Areas and Keywords

##### Analysis

##### Number Theory

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.
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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.
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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.
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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.
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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.
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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 »

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 »