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D-Index & Metrics

Mathematics

D-Index
32
Citations
6910
World Ranking
3122
National Ranking
1251

Research.com Recognitions

  • 2019 - SIAM Fellow For her profound contributions in analysis and partial differential equations, groundbreaking work in public key cryptography, and outstanding scientific leadership.
  • 2013 - Fellow of the American Mathematical Society

Overview

Jill Pipher is affiliated with Brown University in the United States. Their research is primarily situated within the broader field of mathematics, with significant contributions to applied mathematics, mathematical physics, and computational theory and mathematics. Additional subfields include numerical analysis and geometry and topology.

Their research topics focus on several advanced areas such as:

  • Advanced Harmonic Analysis Research
  • Differential Equations and Boundary Problems
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Numerical Methods in Inverse Problems
  • Advanced Banach Space Theory
  • Mathematical Approximation and Integration

Jill Pipher has published extensively, with a substantial number of papers appearing in prominent venues. Frequent publication venues include:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Mathematische Annalen
  • Mathematische Zeitschrift
  • Journal of the London Mathematical Society

Some of the notable recent papers authored or coauthored by Jill Pipher include:

  • Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients, 2020, Journal of Functional Analysis
  • The Dirichlet problem for elliptic operators having a BMO anti-symmetric part, 2021, Mathematische Annalen
  • Sparse bounds for the bilinear spherical maximal function, 2023, Journal of the London Mathematical Society
  • The p-ellipticity condition for second order elliptic systems and applications to the Lamé and homogenization problems, 2021, Journal of Differential Equations
  • Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols, 2022, Mathematische Zeitschrift

Collaboration is a significant aspect of their work, frequently coauthoring with several mathematicians including:

  • Martin Dindoš
  • Steve Hofmann
  • José M. Conde-Alonso
  • Nathan A. Wagner
  • Tainara Borges

Jill Pipher's contributions have been recognized through awards such as:

  • SIAM Fellow (2019) for contributions in analysis, partial differential equations, public key cryptography, and scientific leadership
  • Fellow of the American Mathematical Society (2013)

Best Publications

  • NTRU: A Ring-Based Public Key Cryptosystem

    Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

  • An introduction to mathematical cryptography

    Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

  • NTRUSign: digital signatures using the NTRU lattice

    Jeffrey Hoffstein;Nick Howgrave-Graham;Jill Pipher;Joseph H. Silverman

  • The theory of weights and the Dirichlet problem for elliptic equations

    Robert A. Fefferman;Carlos E. Kenig;Jill PIpher

  • NSS: An NTRU Lattice-Based Signature Scheme

    Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

  • Bi-parameter paraproducts

    Camil Muscalu;Camil Muscalu;Jill Pipher;Terence Tao;Christoph Thiele

  • The neumann problem for elliptic equations with non-smooth coefficients

    Carlos E. Kenig;Jill Pipher

  • Ring-based public key cryptosystem method

    Jeffrey Hoffstein;Jill Pipher;Joseph H. Silverman

  • A New Approach to Absolute Continuity of Elliptic Measure, with Applications to Non-symmetric Equations☆

    C. Kenig;H. Koch;J. Pipher;T. Toro

  • Choosing Parameters for NTRUEncrypt

    Jeffrey Hoffstein;Jill Pipher;John M. Schanck;Joseph H. Silverman

  • Journé’s covering lemma and its extension to higher dimensions

    Jill Pipher

  • Vector potential theory on nonsmooth domains in R3 and applications to electromagnetic scattering

    Dorina Mitrea;Marius Mitrea;Jill Pipher

  • MULTIPARAMETER OPERATORS AND SHARP WEIGHTED INEQUALITIES

    R. Fefferman;J. Pipher

  • The Dirichlet problem for elliptic equations with drift terms

    Carlos E. Kenig;Jill Pipher

  • Multi-parameter paraproducts

    Camil Muscalu;Jill Pipher;Terence Tao;Christoph Thiele

  • Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators

    Steve Hofmann;Carlos E. Kenig;Svitlana Mayboroda;Jill Pipher

  • Area integral estimates for higher order elliptic equations and systems

    Björn E. J. Dahlberg;Carlos E. Kenig;Jill Pipher;G. C. Verchota

  • Dilation invariant estimates and the boundary Garding inequality for higher order elliptic operators

    Jill Pipher;Gregory C. Verchota

  • A maximum principle for biharmonic functions in Lipschitz and C 1 domains

    J. Pipher;J. Pipher;Gregory Verchota;Gregory Verchota

  • Digital signature and authentication method and apparatus

    Jeffrey Hoffstein;Nicholas A. Howgrave-Graham;Jill C. Pipher;Joseph H. Silverman

  • The Dirichlet Problem in L p for the Biharmonic Equation on Lipschitz Domains

    Jill Pipher;Gregory Verchota

  • BMO Solvability and the A ∞ Condition for Elliptic Operators

    Martin Dindos;Carlos Kenig;Jill Pipher

  • The Lp Dirichlet problem for second order elliptic operators and a p-adapted square function

    Martin Dindos;Stefanie Petermichl;Jill Pipher

Frequent Co-Authors

Joseph H. Silverman
Joseph H. Silverman Brown University
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Michael T. Lacey
Michael T. Lacey Georgia Institute of Technology
Steve Hofmann
Steve Hofmann University of Missouri
Terence Tao
Terence Tao University of California, Los Angeles
Xuan Thinh Duong
Xuan Thinh Duong Macquarie University
Sergei Treil
Sergei Treil Brown University
Ingrid Daubechies
Ingrid Daubechies Duke University
Berk Sunar
Berk Sunar Worcester Polytechnic Institute
Maria Chudnovsky
Maria Chudnovsky Princeton University

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