**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. 3262-3294, Elsevier BV - 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) - Pierce, LB,
*The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth]*, Astérisque (July, 2017), Centre National de la Recherche Scientifique - 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 - 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) (2017) - 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 - 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 - Pierce, LB,
*Burgess bounds for multi-dimensional short mixed character sums*, Journal of Number Theory, vol. 163 (June, 2016), pp. 172-210, Elsevier BV - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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

**Other**

- L.B. Pierce,
*Recent Publications*(2015)