Lillian B. Pierce, Nicholas J. and Theresa M. Leonardy Associate Professor

Contact Info:

Office Location:	Duke Box 90320 120 Science Drive,, Office 215, Durham, NC 27708
Office Phone:	(919) 660-2879
Email Address:
Web Page:	http://math.duke.edu/~pierce

Teaching (Spring 2019):

• MATH 636.01, ANALYTIC NUMBER THEORY Synopsis

  Physics 205, MW 01:25 PM-02:40 PM

Education:

Ph.D.	Princeton University	2009
MScRes	University of Oxford	2004
M.Sc.	Oxford University (U.K.)	2004
AB	Princeton University	2002
B.A.	Princeton University	2002

Specialties:

Number Theory
Analysis

Keywords:

Harmonic analysis • Number theory

Recent Publications   (More Publications)

1. Pierce, LB; Yung, PL, A polynomial Carleson operator along the paraboloid, Revista Matemática Iberoamericana (2018), European Mathematical Society
2. 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 [doi]
3. 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 [doi]
4. Guo, S; Pierce, LB; Roos, J; Yung, P-L, Polynomial Carleson Operators Along Monomial Curves in the Plane, The Journal of Geometric Analysis, vol. 27 no. 4 (October, 2017), pp. 2977-3012, Springer Nature [doi]  [abs]
5. Pierce, LB, The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth], Astérisque (July, 2017), Centre National de la Recherche Scientifique  [abs]

Recent Grant Support

• CAREER: Research and Training at the Intersection of Number Theory and Analysis, National Science Foundation, 1652173, 2017/09-2022/08.      
• Sloan Foundation Fellowship for Lillian Pierce in Mathematics, Alfred P. Sloan Foundation, FG-2018-10749-year 1, 2018/09-2020/09.      
• Re:boot Number Theory, National Security Agency, H98230-16-1-0005, 2016/02-2018/01.      
• Re:boot Number Theory, National Security Agency, H98230-16-1-0005, 2016/02-2018/01.      
• The circle method, character sums, and sieves: Applications to number theory and harmonic analysis, National Science Foundation, DMS-1402121, 2014/09-2017/08.