Lillian Beatrix Pierce
Associate Professor of Mathematics
Current Appointments & Affiliations
 Associate Professor of Mathematics, Mathematics, Trinity College of Arts & Sciences 2018
Contact Information
 Duke Box 90320 120 Science Drive,, Room 117 Physics Building, Durham, NC 27708
 Duke Box 90320, Room 117 Physics Building, Durham, NC 27708
 pierce@math.duke.edu (919) 6602879
 Department Webpage
 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

Awards & Honors
 Expertise

Subject Headings
 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): 32623294. Full Text
 HeathBrown, DR, and Pierce, LB. "Averages and moments associated to class numbers of imaginary quadratic fields." Compositio Mathematica 153, no. 11 (November 2017): 22872309. Full Text
 Pierce, LB. "The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]." AstÉrisque (July 4, 2017). Link to Item
 HeathBrown, DR, Pierce, LB, HeathBrown, 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): 85143. Full Text Open Access Copy
 Ellenberg, J, Pierce, LB, and Wood, MM. "On ℓtorsion in class groups of number fields." Algebra and Number Theory 11, no. 8 (2017): 17391778. 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, TurnageButterbaugh, 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, L. "Burgess bounds for multidimensional short mixed character sums." Journal of Number Theory 163 (June 2016): 172210. 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): 289344. 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): 54715473. Full Text
 HeathBrown, DR, and Pierce, LB. "Burgess bounds for short mixed character sums." Journal of the London Mathematical Society 91, no. 3 (2015): 693708. 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, 69106." Duke Mathematical Journal 162, no. 6 (2013): 12031204. 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): 16691680. Full Text Link to Item
 HeathBrown, DR, and Pierce, LB. "Counting rational points on smooth cyclic covers." Journal of Number Theory 132, no. 8 (2012): 17411757. Full Text
 Pierce, LB. "A note on discrete fractional integral operators on the heisenberg group." International Mathematics Research Notices 2012, no. 1 (2012): 1733. Full Text
 Pierce, LB. "Discrete fractional radon transforms and quadratic forms." Duke Mathematical Journal 161, no. 1 (2012): 69106. 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): 597612. Full Text
 Pierce, LB. "A note on twisted discrete singular Radon transforms." Mathematical Research Letters 17, no. 4 (2010): 701720.
 Pierce, LB. "A bound for the 3part of class numbers of quadratic fields by means of the square sieve." Forum Mathematicum 18, no. 4 (2006): 677698. Full Text
 Pierce, LB. "The 3part of class numbers of quadratic fields." Journal of the London Mathematical Society 71, no. 3 (2005): 579598. Full Text

 Teaching & Mentoring

Recent Courses
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