Lillian Beatrix Pierce

Lillian Beatrix Pierce
  • Nicholas J. and Theresa M. Leonardy Associate Professor
  • Associate Professor of Mathematics
External address: Duke Box 90320 120 Science Drive,, Office 215, 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 methods
Education & Training
  • Ph.D., Princeton University 2009

  • M.Sc., Oxford University (U.K.) 2004

  • B.A., Princeton University 2002

Fellowships, Supported Research, & Other Grants

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

Bober, J., et al. “Corrigendum to “on a discrete version of Tanaka’s theorem for maximal functions”.” Proceedings of the American Mathematical Society, vol. 143, no. 12, 2015, pp. 5471–73. Scival, doi:10.1090/proc/12778. Full Text

Heath-Brown, D. R., and L. B. Pierce. “Burgess bounds for short mixed character sums.” Journal of the London Mathematical Society, vol. 91, no. 3, 2015, pp. 693–708. Scival, doi:10.1112/jlms/jdv009. Full Text

Alaifari, R., et al. “Lower bounds for the truncated Hilbert transform.” Arxiv:1311.6845 [Math], Nov. 2013.

Pierce, L. B. “Correction to "discrete fractional radon transforms and quadratic forms," duke math. J. 161 2012, 69-106.” Duke Mathematical Journal, vol. 162, no. 6, 2013, pp. 1203–04. Scival, doi:10.1215/00127094-2210146. Full Text

Bober, J., et al. “On a discrete version of Tanaka's theorem for maximal functions.” Proceedings of the American Mathematical Society, vol. 140, no. 5, May 2012, pp. 1669–80. Manual, doi:10.1090/S0002-9939-2011-11008-6. Full Text

Pierce, L. B. “A note on discrete fractional integral operators on the heisenberg group.” International Mathematics Research Notices, vol. 2012, no. 1, 2012, pp. 17–33. Scival, doi:10.1093/imrn/rnr008. Full Text

Heath-Brown, D. R., and L. B. Pierce. “Counting rational points on smooth cyclic covers.” Journal of Number Theory, vol. 132, no. 8, 2012, pp. 1741–57. Scival, doi:10.1016/j.jnt.2012.02.010. Full Text

Pierce, L. B. “Discrete fractional radon transforms and quadratic forms.” Duke Mathematical Journal, vol. 161, no. 1, 2012, pp. 69–106. Scival, doi:10.1215/00127094-1507288. Full Text

Pierce, L. B. “On discrete fractional integral operators and mean values of Weyl sums.” Bulletin of the London Mathematical Society, vol. 43, no. 3, 2011, pp. 597–612. Scival, doi:10.1112/blms/bdq127. Full Text

Pierce, L. B. “A note on twisted discrete singular Radon transforms.” Mathematical Research Letters, vol. 17, no. 4, 2010, pp. 701–20.

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