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
  • 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, Pierce, LB, Heath-Brown, DR, and Pierce, LB. "Simultaneous integer values of pairs of quadratic formsSimultaneous integer values of pairs of quadratic forms (PublishedPublished)." Journal fur die Reine und Angewandte Mathematik 2017, no. 727 (June 1, 2017): 85-143.  Full Text
    • 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).  Link to Item
    • Pierce, L. "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
• Teaching & Mentoring
• 

  Recent Courses

  • MATH 636: Analytic Number Theory 2017
  • MATH 165FS: Cryptography and Society 2016
  • MATH 304: Introduction to Cryptography 2016
  • SCISOC 165FS: Cryptography and Society 2016
  • SOCIOL 180S: Society, the Self, and the Natural World 2016

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