Math @ Duke

Papers Published
 Pierce, LB; Yung, PL, A polynomial Carleson operator along the paraboloid,
Revista Matemática Iberoamericana
(2018), European Mathematical Society
 Carneiro, E; Madrid, J; Pierce, LB, Endpoint Sobolev and BV continuity for maximal operators,
Journal of Functional Analysis, vol. 273 no. 10
(November, 2017),
pp. 32623294, Elsevier BV [doi]
 HeathBrown, DR; Pierce, LB, Averages and moments associated to class numbers of imaginary quadratic fields,
Compositio Mathematica, vol. 153 no. 11
(November, 2017),
pp. 22872309, Oxford University Press (OUP) [doi] [abs]
 Pierce, LB, The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter
and Guth],
Astérisque
(July, 2017), Centre National de la Recherche Scientifique [abs]
 HeathBrown, DR; Pierce, LB, Simultaneous integer values of pairs of quadratic forms,
Journal Fur Die Reine Und Angewandte Mathematik, vol. 2017 no. 727
(June, 2017),
pp. 85143, WALTER DE GRUYTER GMBH [doi] [abs]
 Pierce, LB; TurnageButterbaugh, CL; Wood, MM, An effective Chebotarev density theorem for families of number fields,
with an application to $\ell$torsion in class groups,
(Submitted)
(2017) [abs]
 Guo, S; Pierce, LB; Roos, J; Yung, P, Polynomial Carleson operators along monomial curves in the plane,
Journal of Geometric Analysis, vol. 27 no. 4
(2017),
pp. 29773012, Springer Verlag [doi] [abs]
 Ellenberg, J; Pierce, LB; Wood, MM, On ℓtorsion in class groups of number fields,
Algebra & Number Theory, vol. 11 no. 8
(2017),
pp. 17391778, Mathematical Sciences Publishers [doi] [abs]
 Pierce, LB, Burgess bounds for multidimensional short mixed character sums,
Journal of Number Theory, vol. 163
(June, 2016),
pp. 172210, Elsevier BV [doi] [abs]
 Pierce, LB; Schindler, D; Wood, MM, Representations of integers by systems of three quadratic forms,
Proceedings of the London Mathematical Society, vol. 3 no. 113
(2016),
pp. 289344, London Mathematical Society [doi] [abs]
 Bober, J; Carneiro, E; Hughes, K; Kosz, D; Pierce, LB, Corrigendum to “on a discrete version of Tanaka’s theorem for maximal functions”,
Proceedings of the American Mathematical Society, vol. 143 no. 12
(2015),
pp. 54715473, American Mathematical Society (AMS), ISSN 00029939 [doi] [abs]
 HeathBrown, DR; Pierce, LB, Burgess bounds for short mixed character sums,
Journal of the London Mathematical Society, vol. 91 no. 3
(2015),
pp. 693708, Oxford University Press (OUP), ISSN 00246107 [doi] [abs]
 Alaifari, R; Pierce, LB; Steinerberger, S, Lower bounds for the truncated Hilbert transform,
Arxiv:1311.6845 [Math], vol. 32 no. 1
(November, 2013),
pp. 2356, European Mathematical Publishing House [doi] [abs]
 Pierce, LB, Correction to "discrete fractional radon transforms and quadratic forms," duke math. J. 161 2012, 69106,
Duke Mathematical Journal, vol. 162 no. 6
(2013),
pp. 12031204, Duke University Press, ISSN 00127094 [doi]
 Bober, J; Carneiro, E; Hughes, K; Pierce, LB, On a discrete version of Tanaka's theorem for maximal functions,
Proceedings of the American Mathematical Society, vol. 140 no. 5
(May, 2012),
pp. 16691680, American Mathematical Society (AMS), ISSN 00029939 [doi] [abs]
 Pierce, LB, Discrete fractional radon transforms and quadratic forms,
Duke Mathematical Journal, vol. 161 no. 1
(2012),
pp. 69106, Duke University Press, ISSN 00127094 [doi] [abs]
 HeathBrown, DR; Pierce, LB, Counting rational points on smooth cyclic covers,
Journal of Number Theory, vol. 132 no. 8
(2012),
pp. 17411757, Elsevier BV, ISSN 0022314X [doi] [abs]
 Pierce, LB, A note on discrete fractional integral operators on the heisenberg group,
International Mathematics Research Notices, vol. 2012 no. 1
(2012),
pp. 1733, Oxford University Press (OUP), ISSN 10737928 [doi] [abs]
 Pierce, LB, On discrete fractional integral operators and mean values of Weyl sums,
Bulletin of the London Mathematical Society, vol. 43 no. 3
(2011),
pp. 597612, Oxford University Press (OUP), ISSN 00246093 [doi] [abs]
 Pierce, LB, A note on twisted discrete singular Radon transforms,
Mathematical Research Letters, vol. 17 no. 4
(2010),
pp. 701720, International Press of Boston, ISSN 10732780 [doi] [abs]
 Pierce, LB, A bound for the 3part of class numbers of quadratic fields by means of the square sieve,
Forum Mathematicum, vol. 18 no. 4
(2006),
pp. 677698, WALTER DE GRUYTER GMBH, ISSN 09337741 [doi] [abs]
 Pierce, LB, The 3part of class numbers of quadratic fields,
Journal of the London Mathematical Society, vol. 71 no. 3
(2005),
pp. 579598, Oxford University Press (OUP), ISSN 00246107 [doi] [abs]
Other
 L.B. Pierce, Recent Publications
(2015)


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

