Lillian B. Pierce, Associate Professor

Contact Info:

Office Location:	Duke
Office Phone:	(919) 660-2879
Email Address:
Web Page:	http://math.duke.edu/~pierce

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 Matematica 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. Pierce, LB, The Vinogradov Mean Value Theorem [after Wooley, and Bourgain, Demeter and Guth], Asterisque (July, 2017), Centre National de la Recherche Scientifique  [abs]
5. Heath-Brown, DR; Pierce, LB; Heath-Brown, DR; Pierce, LB, Simultaneous integer values of pairs of quadratic formsSimultaneous integer values of pairs of quadratic forms, Journal für die Reine und Angewandte Mathematik (Crelle's Journal), vol. 2017 no. 727 (June, 2017), pp. 85-143 [doi]  [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.