Scholars@Duke

• Background
• 

  Education, Training, & Certifications

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

  Duke Appointment History

  • Associate Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2018 - 2020
  • Assistant Professor in the Department of Mathematics, Mathematics, Trinity College of Arts & Sciences 2014 - 2017
• 

  Leadership & Clinical Positions at Duke

  • Distinguished Lectures and Department Colloquium, August 2019
• Recognition
• 

  In the News

  • JUL 8, 2019

    White House Honors Four Faculty for Early Career Research Accomplishments

  • MAR 6, 2019

    Duke Mathematician Lillian Pierce Awarded Birman Fellowship

  • 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
• 

  External Relationships

  • Institute for Advanced Study, governing board for Women and Math
• Publications & Artistic Works
• 

  Selected Publications

  • Academic Articles

    • Pierce, L. B., and J. Xu. “Burgess bounds for short character sums evaluated at forms.” Algebra and Number Theory 14, no. 7 (January 1, 2020): 1911–51. https://doi.org/10.2140/ant.2020.14.1911.
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    • Chruściel, P. T., A. De Mesmay, M. Păun, E. Peyre, F. Barthe, H. A. Helfgott, M. Kontsevich, et al. “Séminaire Bourbaki Volume 2016/2017 Exposés 1120-1135.” Asterisque 407 (January 1, 2019): 1–602. https://doi.org/10.24033/ast.1057.
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    • Pierce, L. B., and P. L. Yung. “A polynomial Carleson operator along the paraboloid.” Revista Matemática Iberoamericana, 2018.
       Link to Item
    • Heath-Brown, D. R., and L. B. Pierce. “Averages and moments associated to class numbers of imaginary quadratic fields.” Compositio Mathematica 153, no. 11 (November 1, 2017): 2287–2309. https://doi.org/10.1112/S0010437X1700728X.
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    • Pierce, L. B. “The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth].” Astérisque, July 4, 2017.
       Link to Item
    • Heath-Brown, D. R., and L. B. Pierce. “Simultaneous integer values of pairs of quadratic forms.” Journal Fur Die Reine Und Angewandte Mathematik 2017, no. 727 (June 1, 2017): 85–143. https://doi.org/10.1515/crelle-2014-0112.
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    • Ellenberg, J., L. B. Pierce, and M. M. Wood. “On ℓ-torsion in class groups of number fields.” Algebra and Number Theory 11, no. 8 (2017): 1739–78. https://doi.org/10.2140/ant.2017.11.1739.
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    • Guo, S., L. B. Pierce, J. Roos, and P. Yung. “Polynomial Carleson operators along monomial curves in the plane.” Journal of Geometric Analysis, 2017.
       Link to Item
    • Pierce, L. B., C. L. Turnage-Butterbaugh, and M. M. Wood. “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, L. B. “Burgess bounds for multi-dimensional short mixed character sums.” Journal of Number Theory 163 (June 1, 2016): 172–210. https://doi.org/10.1016/j.jnt.2015.08.022.
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    • Pierce, L. B., D. Schindler, and M. M. Wood. “Representations of integers by systems of three quadratic forms.” Proceedings of the London Mathematical Society 3, no. 113 (2016): 289–344.
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    • Bober, J., E. Carneiro, K. Hughes, D. Kosz, and L. B. Pierce. “Corrigendum to “on a discrete version of Tanaka’s theorem for maximal functions”.” Proceedings of the American Mathematical Society 143, no. 12 (2015): 5471–73. https://doi.org/10.1090/proc/12778.
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    • Heath-Brown, D. R., and L. B. Pierce. “Burgess bounds for short mixed character sums.” Journal of the London Mathematical Society 91, no. 3 (2015): 693–708. https://doi.org/10.1112/jlms/jdv009.
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    • Alaifari, R., L. B. Pierce, and S. Steinerberger. “Lower bounds for the truncated Hilbert transform.” Arxiv:1311.6845 [Math], November 26, 2013.
       Link to Item
    • Pierce, L. B. “Correction to "discrete fractional radon transforms and quadratic forms," duke math. J. 161 2012, 69-106.” Duke Mathematical Journal 162, no. 6 (2013): 1203–4. https://doi.org/10.1215/00127094-2210146.
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    • Bober, J., E. Carneiro, K. Hughes, and L. B. Pierce. “On a discrete version of Tanaka's theorem for maximal functions.” Proceedings of the American Mathematical Society 140, no. 5 (May 1, 2012): 1669–80. https://doi.org/10.1090/S0002-9939-2011-11008-6.
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    • Heath-Brown, D. R., and L. B. Pierce. “Counting rational points on smooth cyclic covers.” Journal of Number Theory 132, no. 8 (2012): 1741–57. https://doi.org/10.1016/j.jnt.2012.02.010.
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    • Pierce, L. B. “A note on discrete fractional integral operators on the heisenberg group.” International Mathematics Research Notices 2012, no. 1 (2012): 17–33. https://doi.org/10.1093/imrn/rnr008.
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    • Pierce, L. B. “Discrete fractional radon transforms and quadratic forms.” Duke Mathematical Journal 161, no. 1 (2012): 69–106. https://doi.org/10.1215/00127094-1507288.
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    • Pierce, L. B. “On discrete fractional integral operators and mean values of Weyl sums.” Bulletin of the London Mathematical Society 43, no. 3 (2011): 597–612. https://doi.org/10.1112/blms/bdq127.
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    • Pierce, L. B. “A note on twisted discrete singular Radon transforms.” Mathematical Research Letters 17, no. 4 (2010): 701–20.
    • Pierce, L. B. “A bound for the 3-part of class numbers of quadratic fields by means of the square sieve.” Forum Mathematicum 18, no. 4 (2006): 677–98. https://doi.org/10.1515/FORUM.2006.034.
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    • Pierce, L. B. “The 3-part of class numbers of quadratic fields.” Journal of the London Mathematical Society 71, no. 3 (2005): 579–98. https://doi.org/10.1112/S002461070500637X.
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    • Gressman, Philip T., Shaoming Guo, Lillian B. Pierce, Joris Roos, and Po-Lam Yung. “Reversing a philosophy: from counting to square functions and decoupling,” n.d.
       Link to Item
    • Pierce, Lillian B. “On Bourgain's counterexample for the Schrödinger maximal function,” n.d.
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    • Pierce, Lillian B. “On superorthogonality,” n.d.
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    • Pierce, Lillian B., Caroline L. Turnage-Butterbaugh, and Melanie Matchett Wood. “On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments,” n.d.
       Link to Item
• Scholarly, Clinical, & Service Activities
• 

  Service to Duke

  • Co-Director of Distinguished Lectures and Dept. Colloquium. Duke Mathematics Department. August 2019  2019

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