# 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

##### 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

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. "Simultaneous integer values of pairs of quadratic forms." *Journal für die reine und angewandte Mathematik (Crelles Journal)* 0.0 (January 27, 2015).
Full Text Open Access Copy

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).

Pierce, LB. "Correction to "discrete fractional radon transforms and quadratic forms," duke math. J. 161 2012, 69-106." *Duke Mathematical Journal* 162.6 (2013): 1203-1204.
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Bober, J, Carneiro, E, Hughes, K, and Pierce, LB. "On a discrete version of Tanaka's theorem for maximal functions." *Proceedings of the American Mathematical Society* 140.5 (May 1, 2012): 1669-1680.
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## Pages

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 »