Math @ Duke
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Papers Published
- Pierce, LB, On Superorthogonality,
The Journal of Geometric Analysis
(January, 2021) [doi] [abs]
- Gressman, PT; Guo, S; Pierce, LB; Roos, J; Yung, PL, Reversing a Philosophy: From Counting to Square Functions and Decoupling,
The Journal of Geometric Analysis
(January, 2021) [doi] [abs]
- Pierce, LB, ON BOURGAIN’S COUNTEREXAMPLE for the SCHRÖDINGER MAXIMAL FUNCTION,
The Quarterly Journal of Mathematics, vol. 71 no. 4
(December, 2020),
pp. 1309-1344, Oxford University Press (OUP) [doi] [abs]
- Alaifari, R; Cheng, X; Pierce, LB; Steinerberger, S, On matrix rearrangement inequalities,
Proceedings of the American Mathematical Society, vol. 148 no. 5
(January, 2020),
pp. 1835-1848, American Mathematical Society (AMS) [doi] [abs]
- Pierce, LB; Xu, J, Burgess bounds for short character sums evaluated at forms,
Algebra & Number Theory, vol. 14 no. 7
(January, 2020),
pp. 1911-1951 [doi] [abs]
- Chruściel, PT; De Mesmay, A; Păun, M; Peyre, E; Barthe, F; Helfgott, HA; Kontsevich, M; Villani, C; Guillermou, S; Hernandez, D; Ma, X; Massot, P; Bergeron, N; Oesterlé, J; Pierce, LB; Rousset, F, Séminaire Bourbaki Volume 2016/2017 Exposés 1120-1135,
Astérisque, vol. 407
(January, 2019),
pp. 1-602 [doi] [abs]
- 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. 3262-3294, Elsevier BV [doi]
- Heath-Brown, DR; Pierce, LB, Averages and moments associated to class numbers of imaginary quadratic fields,
Compositio Mathematica, vol. 153 no. 11
(November, 2017),
pp. 2287-2309, 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]
- Heath-Brown, 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. 85-143, WALTER DE GRUYTER GMBH [doi] [abs]
- Pierce, LB; Turnage-Butterbaugh, CL; Wood, MM, An effective Chebotarev density theorem for families of number fields,
with an application to $\ell$-torsion in class groups,
(Submitted), vol. 219 no. 2
(2017),
pp. 701-778 [doi] [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. 2977-3012, Springer-Verlag [doi] [abs]
- Ellenberg, J; Pierce, LB; Wood, MM, On ℓ-torsion in class groups of number fields,
Algebra & Number Theory, vol. 11 no. 8
(2017),
pp. 1739-1778, Mathematical Sciences Publishers [doi] [abs]
- Pierce, LB, Burgess bounds for multi-dimensional short mixed character sums,
Journal of Number Theory, vol. 163
(June, 2016),
pp. 172-210, 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. 289-344, 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. 5471-5473, American Mathematical Society (AMS), ISSN 0002-9939 [doi] [abs]
- Heath-Brown, DR; Pierce, LB, Burgess bounds for short mixed character sums,
Journal of the London Mathematical Society, vol. 91 no. 3
(2015),
pp. 693-708, Oxford University Press (OUP), ISSN 0024-6107 [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. 23-56, European Mathematical Publishing House [doi] [abs]
- Pierce, LB, Correction to "discrete fractional radon transforms and quadratic forms," duke math. J. 161 2012, 69-106,
Duke Mathematical Journal, vol. 162 no. 6
(2013),
pp. 1203-1204, Duke University Press, ISSN 0012-7094 [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. 1669-1680, American Mathematical Society (AMS), ISSN 0002-9939 [doi] [abs]
- Pierce, LB, Discrete fractional radon transforms and quadratic forms,
Duke Mathematical Journal, vol. 161 no. 1
(2012),
pp. 69-106, Duke University Press, ISSN 0012-7094 [doi] [abs]
- Heath-Brown, DR; Pierce, LB, Counting rational points on smooth cyclic covers,
Journal of Number Theory, vol. 132 no. 8
(2012),
pp. 1741-1757, Elsevier BV, ISSN 0022-314X [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. 17-33, Oxford University Press (OUP), ISSN 1073-7928 [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. 597-612, Oxford University Press (OUP), ISSN 0024-6093 [doi] [abs]
- Pierce, LB, A note on twisted discrete singular Radon transforms,
Mathematical Research Letters, vol. 17 no. 4
(2010),
pp. 701-720, International Press of Boston, ISSN 1073-2780 [doi] [abs]
- Pierce, LB, A bound for the 3-part of class numbers of quadratic fields by means of the square sieve,
Forum Mathematicum, vol. 18 no. 4
(2006),
pp. 677-698, WALTER DE GRUYTER GMBH, ISSN 0933-7741 [doi] [abs]
- Pierce, LB, The 3-part of class numbers of quadratic fields,
Journal of the London Mathematical Society, vol. 71 no. 3
(2005),
pp. 579-598, Oxford University Press (OUP), ISSN 0024-6107 [doi] [abs]
Other
- L.B. Pierce, Recent Publications
(2015)
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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