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

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

Pierce, LB. "A note on discrete fractional integral operators on the heisenberg group." International Mathematics Research Notices 2012.1 (2012): 17-33. Full Text

Heath-Brown, DR, and Pierce, LB. "Counting rational points on smooth cyclic covers." Journal of Number Theory 132.8 (2012): 1741-1757. Full Text

Pierce, LB. "Discrete fractional radon transforms and quadratic forms." Duke Mathematical Journal 161.1 (2012): 69-106. Full Text

Pierce, LB. "On discrete fractional integral operators and mean values of Weyl sums." Bulletin of the London Mathematical Society 43.3 (2011): 597-612. Full Text

Pierce, LB. "A note on twisted discrete singular Radon transforms." Mathematical Research Letters 17.4 (2010): 701-720.

Pierce, LB. "The 3-part of class numbers of quadratic fields." Journal of the London Mathematical Society 71.3 (2005): 579-598. Full Text

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