Scholars@Duke

• Background
• 

  Education, Training, & Certifications

  • Ph.D., Princeton University 2009
  • M.Sc., Oxford University (U.K.) 2004
  • B.A., Princeton University 2002
• 

  Duke Appointment History

  • Assistant Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2014 - 2017
• Recognition
• 

  In the News

  • FEB 16, 2018

    Duke Mathematician Lillian Pierce Wins 2018 Sloan Research Fellowship

  • JUN 5, 2017

    Pierce Honored for Work in Harmonic Analysis, Analytic Number Theory

  • SEP 26, 2014

    Lillian Pierce: A Head for Pure Mathematics
• 

  Awards & Honors

  • AWM Sadosky Research Prize in Analysis. AWM. 2018
  • Sloan Research Fellowship. Sloan Foundation. 2018
  • von Neumann Fellow. Institute for Advanced Study. 2017
  • Member, School of Mathematics. Institute for Advanced Study. 2009
  • Rhodes Scholar. Rhodes Trust. 2002
• Expertise
• 

  Subject Headings

  • Harmonic analysis
  • Number theory
• Research
• 

  Selected Grants

  • CAREER: Research and Training at the Intersection of Number Theory and Analysis awarded by  National Science Foundation 2017 - 2022
  • Sloan Foundation Fellowship for Lillian Pierce in Mathematics awarded by Alfred P. Sloan Foundation 2018 - 2020
  • Re:boot Number Theory awarded by National Security Agency 2016 - 2018
  • The circle method, character sums, and sieves: Applications to number theory and harmonic analysis awarded by  National Science Foundation 2014 - 2017
• 

  Fellowships, Supported Research, & Other Grants

  • von Neumann Fellow awarded by Institute for Advanced Study 2017 - 2018
• Publications & Artistic Works
• 

  Selected Publications

  • Journal Articles

    • Pierce, LB, and Yung, PL. "A polynomial Carleson operator along the paraboloid." Revista Matemática Iberoamericana (2018).  Link to Item
    • Carneiro, E, Madrid, J, and Pierce, LB. "Endpoint Sobolev and BV continuity for maximal operators." Journal of Functional Analysis 273, no. 10 (November 2017): 3262-3294.  Full Text
    • Heath-Brown, DR, and Pierce, LB. "Averages and moments associated to class numbers of imaginary quadratic fields." Compositio Mathematica 153, no. 11 (November 2017): 2287-2309.  Full Text
    • Pierce, LB. "The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]." Astérisque (July 4, 2017).  Link to Item
    • Heath-Brown, DR, and Pierce, LB. "Simultaneous integer values of pairs of quadratic forms." Journal Fur Die Reine Und Angewandte Mathematik 2017, no. 727 (June 1, 2017): 85-143.  Full Text  Open Access Copy
    • Ellenberg, J, Pierce, LB, and Wood, MM. "On ℓ-torsion in class groups of number fields." Algebra and Number Theory 11, no. 8 (2017): 1739-1778.  Full Text
    • Guo, S, Pierce, LB, Roos, J, and Yung, P. "Polynomial Carleson operators along monomial curves in the plane." Journal of Geometric Analysis (2017).  Link to Item
    • Pierce, LB, Turnage-Butterbaugh, CL, and Wood, MM. "An effective Chebotarev density theorem for families of number fields, with an application to $\ell$-torsion in class groups." (Submitted) (2017).  Open Access Copy  Link to Item
    • Pierce, LB. "Burgess bounds for multi-dimensional short mixed character sums." Journal of Number Theory 163 (June 2016): 172-210.  Full Text
    • Pierce, LB, Schindler, D, and Wood, MM. "Representations of integers by systems of three quadratic forms." Proceedings of the London Mathematical Society 3, no. 113 (2016): 289-344.  Link to Item
    • 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, no. 12 (2015): 5471-5473.  Full Text
    • Heath-Brown, DR, and Pierce, LB. "Burgess bounds for short mixed character sums." Journal of the London Mathematical Society 91, no. 3 (2015): 693-708.  Full Text
    • Alaifari, R, Pierce, LB, and Steinerberger, S. "Lower bounds for the truncated Hilbert transform." Arxiv:1311.6845 [Math] (November 26, 2013).  Link to Item
    • Pierce, LB. "Correction to "discrete fractional radon transforms and quadratic forms," duke math. J. 161 2012, 69-106." Duke Mathematical Journal 162, no. 6 (2013): 1203-1204.  Full Text
    • 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, no. 5 (May 1, 2012): 1669-1680.  Full Text  Link to Item
    • Heath-Brown, DR, and Pierce, LB. "Counting rational points on smooth cyclic covers." Journal of Number Theory 132, no. 8 (2012): 1741-1757.  Full Text
    • Pierce, LB. "A note on discrete fractional integral operators on the heisenberg group." International Mathematics Research Notices 2012, no. 1 (2012): 17-33.  Full Text
    • Pierce, LB. "Discrete fractional radon transforms and quadratic forms." Duke Mathematical Journal 161, no. 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, no. 3 (2011): 597-612.  Full Text
    • Pierce, LB. "A note on twisted discrete singular Radon transforms." Mathematical Research Letters 17, no. 4 (2010): 701-720.
    • Pierce, LB. "A bound for the 3-part of class numbers of quadratic fields by means of the square sieve." Forum Mathematicum 18, no. 4 (2006): 677-698.  Full Text
    • Pierce, LB. "The 3-part of class numbers of quadratic fields." Journal of the London Mathematical Society 71, no. 3 (2005): 579-598.  Full Text

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