# 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

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. "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. 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).

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. Full Text

## Pages

##### New Number Systems Seek Their Lost Primes: Prof. Lillian Pierce is featured in Quanta magazine

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 »

##### Professor Lillian Pierce wins NSF CAREER Award and von Neumann Fellowship

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 »

##### Lillian Pierce: A Head for Pure Mathematics

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 »