Jill Pipher

About

Professor Jill Pipher's primary area of research is harmonic analysis and its applications to elliptic partial differential equations with non-smooth coefficients. She also has a research interest in cryptography, particularly lattice-based cryptography. Her work bridges advanced mathematical theories and practical applications, contributing to both the understanding of complex differential equations and the development of cryptographic methods. For more detailed information about her research and academic contributions, additional resources such as her CV and Brown University Research page are available.

Research topics

• Mathematical analysis
• Mathematics
• Combinatorics
• Physics
• Quantum mechanics
• Pure mathematics
• Applied mathematics
• Law
• Statistics

Selected publications

• Sparse bounds for the bilinear spherical maximal function

  Journal of the London Mathematical Society · 2023 · 9 citations

  Abstract We derive sparse bounds for the bilinear spherical maximal function in any dimension . When , this immediately recovers the sharp bound of the operator and implies quantitative weighted norm inequalities with respect to bilinear Muckenhoupt weights, which seems to be the first of their kind for the operator. The key innovation is a group of newly developed continuity improving estimates for the single‐scale bilinear spherical averaging operator.

  PublisherDOI

• The Dirichlet problem for elliptic operators having a BMO anti-symmetric part

  Mathematische Annalen · 2021-06-17 · 9 citations

  articleOpen accessSenior author
  PublisherOA PDFDOI

• Bi-parameter trilinear Fourier multipliers and pseudo-differential operators with flag symbols

  Mathematische Zeitschrift · 2022-03-01 · 6 citations

  articleCorresponding
  PublisherDOI

• $$L^p$$ theory for the square roots and square functions of elliptic operators having a BMO anti-symmetric part

  Mathematische Zeitschrift · 2022-01-05 · 5 citations

  articleOpen accessSenior author
  PublisherOA PDFDOI

• Balanced measures, sparse domination and complexity-dependent weight classes

  Mathematische Annalen · 2024-08-28 · 3 citations

  article
  PublisherDOI

Recent grants

• Harmonic Analysis and Linear Elliptic Equations

  NSF · $173k · 2006–2009

• Harmonic Analysis and the Theory of Elliptic Measure

  NSF · $435k · 2009–2013

Frequent coauthors

• Jeffrey Hoffstein

  Providence College

  69 shared

• Joseph H. Silverman

  57 shared

• Martin Dindoš

  43 shared

• Carlos E. Kenig

  University of Chicago

  29 shared

• Gregory C. Verchota

  Syracuse University

  28 shared

• William Whyte

  Qualcomm (United States)

  20 shared

• Camil Muscalu

  Romanian Academy

  19 shared

• Stefanie Petermichl

  19 shared

Awards & honors

• Elisha Benjamin Andrews Professor of Mathematics, Brown Univ…
• Founding Director, ICERM

Similar researchers at Brown University

• Brendan Hassetth-34