L. Pierce

Mathematical Physics · 2005–2017

A researcher in the Science corpus: 6 papers; trusts 16 researchers and is trusted by 7 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 34 citations into it
• Geometry and Topology — 26 citations into it; #4,074 of 7,422 by trust here, #5,748 by citations
• Applied Mathematics — 25 citations into it; #5,615 of 7,620 by trust here, #5,443 by citations
• Algebra and Number Theory — 18 citations into it; #1,435 of 2,864 by trust here, #1,879 by citations
• Discrete Mathematics and Combinatorics — 10 citations into it

Whom L. Pierce trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Manjul Bhargava
2. Harald Andrés Helfgott
3. Akshay Venkatesh
4. Jordan S. Ellenberg
5. Emmanuel Kowalski
6. P. Michel
7. E. Stein
8. J. M. Aldaz
9. Melanie Matchett Wood
10. S. Wainger

Who trusts L. Pierce overall

1. Jordan S. Ellenberg
2. Emanuel Carneiro
3. M. Ram Murty
4. Mariusz Mirek
5. Akshay Venkatesh
6. Jos'e Madrid

Papers from L. Pierce's perspective

Ordered by how strongly the researchers L. Pierce trusts endorse each paper. Same corpus, a different order for every researcher.

1. Reflection Principles and Bounds for Class Group Torsion
2. Integral points on elliptic curves and 3-torsion in class groups
3. Higher composition laws
4. Families of L -Functions and Their Symmetry
5. Continuity of the maximal operator in sobolev spaces
6. Functions of bounded variation, the derivative of the one dimensional maximal function, and applications to inequalities
7. On the 4-rank of class groups of quadratic number fields
8. Higher composition laws IV: The parametrization of quintic rings
9. Divisibility of the class numbers of imaginary quadratic fields
10. Zeros of families of automorphic $L$-functions close to 1

Their papers

• An effective Chebotarev density theorem for families of number fields, with an application to $$\ell $$-torsion in class groups (2017) — 58 citations
• Endpoint Sobolev and BV continuity for maximal operators, II (2017) — 74 citations
• On ℓ-torsion in class groups of number fields (2016) — 55 citations
• Corrigendum to “On a discrete version of Tanaka’s theorem for maximal functions” (2010) — 70 citations
• Discrete Analogues in Harmonic Analysis (2009) — 52 citations
• The 3‐part of Class Numbers of Quadratic Fields (2005) — 49 citations