Lillian Pierce
American mathematician
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Mathematics
Lillian Pierce's Degrees
- PhD Mathematics Princeton University
Why Is Lillian Pierce Influential?
(Suggest an Edit or Addition)According to Wikipedia, Lillian Beatrix Pierce is a mathematician whose research connects number theory with harmonic analysis. She is a professor of mathematics at Duke University. Early life and education Pierce was home-schooled in Fallbrook, California and began playing the violin at age four. By age 11 she began performing professionally as a violinist. As a teenager, she also started taking classes at a local community college, accumulating so many units that some of the universities she applied to refused to consider her for freshman admission. She entered Princeton University majoring in mathematics but intending to pursue an MD–PhD program; under the influence of faculty mentor and undergraduate thesis supervisor Elias M. Stein, her interests shifted towards pure mathematics. As an undergraduate, she also became an intern at the National Security Agency. She was Princeton's 2002 valedictorian and became a Rhodes Scholar, repeating two accomplishments of her brother Niles Pierce from nine years earlier.
Lillian Pierce's Published Works
Published Works
- Corrigendum to “On a discrete version of Tanaka’s theorem for maximal functions” (2010) (59)
- Discrete Analogues in Harmonic Analysis (2009) (56)
- Endpoint Sobolev and BV continuity for maximal operators, II (2017) (55)
- On ℓ-torsion in class groups of number fields (2016) (45)
- The 3‐part of Class Numbers of Quadratic Fields (2005) (44)
- An effective Chebotarev density theorem for families of number fields, with an application to $$\ell $$-torsion in class groups (2017) (40)
- Discrete fractional Radon transforms and quadratic forms (2010) (34)
- The Vinogradov Mean Value Theorem (after Wooley, and Bourgain, Demeter and Guth) (2017) (30)
- A bound for the 3-part of class numbers of quadratic fields by means of the square sieve (2006) (29)
- On discrete fractional integral operators and mean values of Weyl sums (2010) (22)
- Simultaneous Integer Values of Pairs of Quadratic Forms (2013) (21)
- Polynomial Carleson Operators Along Monomial Curves in the Plane (2016) (19)
- On a conjecture for $\ell$-torsion in class groups of number fields: from the perspective of moments. (2019) (17)
- A polynomial Carleson operator along the paraboloid (2015) (16)
- Lower bounds for the truncated Hilbert transform (2013) (16)
- Burgess bounds for short mixed character sums (2014) (14)
- On Bourgain’s Counterexample for the Schrödinger Maximal Function (2019) (14)
- Reversing a Philosophy: From Counting to Square Functions and Decoupling (2019) (13)
- Averages and moments associated to class numbers of imaginary quadratic fields (2014) (13)
- A note on twisted discrete singular Radon transforms (2010) (11)
- Counting rational points on smooth cyclic covers (2011) (11)
- Counterexamples for high-degree generalizations of the Schr\"odinger maximal operator (2021) (9)
- Burgess bounds for multi-dimensional short mixed character sums (2014) (7)
- On Superorthogonality (2020) (7)
- Representations of integers by systems of three quadratic forms (2015) (6)
- A note on discrete fractional integral operators on the Heisenberg group (2010) (4)
- Burgess bounds for short character sums evaluated at forms (2019) (3)
- On matrix rearrangement inequalities (2019) (2)
- Counting problems: class groups, primes, and number fields (2022) (2)
- A new type of superorthogonality (2022) (1)
- Correction to “Discrete fractional Radon transforms and quadratic forms,” Duke Math. J. 161 (2012), 69–106 (2013) (1)
- On the Strict Majorant Property in Arbitrary Dimensions (2021) (1)
- Geometric generalizations of the square sieve, with an application to cyclic covers (2021) (1)
- On Polynomial Carleson operators along quadratic hypersurfaces (2022) (0)
- Fall 2019 TAGMaC List of Abstracts 10 : 00 – 11 : 00 Welcome and Keynote Talk ( SAS 2203 ) 10 : 00 Bad Behavior (2019) (0)
- Elias M. Stein (1931–2018) (2021) (0)
- Polynomial Carleson Operators Along Monomial Curves in the Plane (2017) (0)
- Generalised quadratic forms over totally real number fields (2022) (0)
- Women's History Month (2013) (0)
- Application of a polynomial sieve: beyond separation of variables (2022) (0)
- JMM 2019 Lecture Sampler (2019) (0)
- A NEW TWIST ON THE CARLESON OPERATOR LILLIAN (2013) (0)
- On Torsion Subgroups in Class Groups of Number Fields (2019) (0)
- Princeton lectures in analysis by Ellias M. Stein and Rami Shakarchi- A book review (2012) (0)
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