J. Pipher

发表

NTRU: A Ring-Based Public Key Cryptosystem

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 1998, ANTS.

On estimating the lattice security of NTRU

William Whyte, Nick Howgrave-Graham, Jill Pipher, 2005, IACR Cryptol. ePrint Arch..

Chapter 1 Practical lattice-based cryptography : NTRUEncrypt and NTRUSign

Nick Howgrave-Graham, J. Hoffstein, J. Pipher, 2008 .

An introduction to mathematical cryptography

J. Hoffstein, J. Pipher, J. Silverman, 2008 .

Lectures on the NTRU encryption algorithm and digital signature scheme : Grenoble , June 2002

J. Pipher, 2022 .

Ntru: a Public Key Cryptosystem

J. Hoffstein, J. Pipher, J. Silverman, 1999 .

NSS : A Lattice-Based Signature Scheme

J. Hoffstein, J. Pipher, J. Silverman, 2001 .

The NTRU Signature Scheme : Theory and Practice

J. Hoffstein, J. Pipher, J. Silverman, 2001 .

NSS : The NTRU Signature Scheme

J. Hoffstein, J. Pipher, J. Silverman, 2000 .

Diophantine approximations and directional discrepancy of rotated lattices

Craig V. Spencer, J. Pipher, D. Bilyk, 2015 .

Directional discrepancy in two dimensions

Craig V. Spencer, J. Pipher, D. Bilyk, 2009, 0911.3971.

NTRUSIGN: Digital Signatures Using the NTRU Lattice

William Whyte, Nick Howgrave-Graham, Joseph H. Silverman, 2003, CT-RSA.

Extrapolation of the Dirichlet problem for elliptic equations with complex coefficients

J. Pipher, M. Dindoš, 2019, 1909.06132.

IEEE P1363.1 Draft 10: Draft Standard for Public Key Cryptographic Techniques Based on Hard Problems over Lattices.

Nick Howgrave-Graham, Joseph H. Silverman, Philip S. Hirschhorn, 2008 .

Integer Factorization and RSA

J. Hoffstein, J. Pipher, J. Silverman, 2014 .

A martingale inequality related to exponential square integrability

J. Pipher, 1993 .

Elliptic Curves and Cryptography

J. Hoffstein, J. Pipher, J. Silverman, 2014 .

History and Overview of Peer Review of The NTRUEncrypt Public Key Cryptosystem

J. Pipher, J. Silverman, 2001 .

Multiparameter operators and sharp weighted inequalities

J. Pipher, R. Fefferman, 1997 .

Boundary value problems for elliptic operators satisfying Carleson condition

J. Pipher, Martin Dindovs, 2022, 2210.17499.

The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

C. Kenig, J. Pipher, S. Mayboroda, 2014, Mathematische Annalen.

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

Dorina Mitrea, Marius Mitrea, Jill Pipher, 1997 .

The Oblique Derivative Problem on Lipschitz Domains with L p Data

C. Kenig, J. Pipher, 1988 .

Oblique Derivative Problems for the Laplacian in Lipschitz Domains

J. Pipher, 1987 .

A signature scheme from Learning with Truncation

William Whyte, Zhenfei Zhang, Jill Pipher, 2017, IACR Cryptol. ePrint Arch..

Choosing Parameters for NTRUEncrypt

William Whyte, Joseph H. Silverman, Zhenfei Zhang, 2017, CT-RSA.

NTRUSIGN: Digital Signatures Using the NTRU Lattice

Nick Howgrave-Graham, J. Hoffstein, J. Pipher, 2003, CT-RSA.

Bounded double square functions

Jill Pipher, J. Pipher, 1986 .

L BOUNDEDNESS FOR MAXIMAL FUNCTIONS ASSOCIATED WITH MULTI-LINEAR PSEUDO-DIFFERENTIAL OPERATORS

J. Pipher, C. Thiele, 2017 .

Square Functions and the A∞ Property of Elliptic Measures

C. Kenig, J. Pipher, B. Kirchheim, 2016 .

Square Functions and the $$A_\infty $$A∞ Property of Elliptic Measures

C. Kenig, J. Pipher, B. Kirchheim, 2014, 1409.7131.

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

C. Kenig, J. Pipher, H. Koch, 2000 .

Maximum principles for the polyharmonic equation on Lipschitz domains

J. Pipher, G. Verchota, 1995 .

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

J. Pipher, G. Verchota, 1995 .

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

C. Kenig, J. Pipher, S. Mayboroda, 2012, 1202.2405.

Journé’s covering lemma and its extension to higher dimensions

J. Pipher, Jill Pipher, 1986 .

The theory of weights and the Dirichlet problem for elliptic equations

R. Fefferman, C. Kenig, J. Pipher, 1991 .

Multiparameter Riesz commutators

J. Pipher, Michael Lacey, S. Petermichl, 2007, 0704.3720.

BMO solvability and the $A_\infty$ condition for elliptic operators

C. Kenig, J. Pipher, M. Dindoš, 2010 .

BMO Solvability and the A∞ Condition for Elliptic Operators

C. Kenig, J. Pipher, M. Dindoš, 2010, 1007.5496.

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

J. Pipher, M. Dindoš, S. Petermichl, 2007 .

The Dirichlet problem for elliptic equations with drift terms

C. Kenig, J. Pipher, 2001 .

Review of: Harmonic Analysis Techniques for Second Order Elliptic Boundary Value Problems, Carlos E. Kenig

C. Kenig, J. Pipher, 1999 .

The absolute continuity of elliptic measure revisited

C. Kenig, J. Pipher, 1998 .

Weighted Estimates of Singular Integrals and Commutators in the Zygmund Dilation Setting

J. Pipher, B. Wick, X. Duong, 2019, 1905.00999.

PROCEEDINGS OF THE INTERNET ANALYSIS SEMINAR ON MULTIPARAMETER HARMONIC ANALYSIS

J. Pipher, S. Petermichl, 2012 .

Iterated Riesz Commutators: A Simple Proof of Boundedness

Brett D. Wick, Michael T. Lacey, Stefanie Petermichl, 2008, 0808.0832.

BMO from dyadic BMO on the bidisc

Lesley A. Ward, J. Pipher, 2008 .

VARIATIONS ON THE THEME OF JOURN ´ E'S LEMMA

J. Pipher, M. Lacey, C. Cabrelli, 2005 .

Variations on the Theme of Journe's Lemma

J. Pipher, M. Lacey, C. Cabrelli, 2004, math/0412174.

Commutators of multiparameter flag singular integrals and applications

J. Pipher, B. Wick, X. Duong, 2018, Analysis & PDE.

Weak-star convergence in multiparameter Hardy spaces

S. Treil, J. Pipher, 2009, 0909.2607.

MULTI-PARAMETER RIESZ COMMUTATORS

J. Pipher, B. Wick, S. Petermichl, 2006 .

Multi-parameter paraproducts

T. Tao, J. Pipher, C. Thiele, 2004, math/0411607.

Bi-parameter paraproducts

Terence Tao, Christoph Thiele, Jill Pipher, 2003, math/0310367.

The neumann problem for elliptic equations with non-smooth coefficients

C. Kenig, J. Pipher, 1993 .

Perturbations of elliptic operators in chord arc domains

J. Pipher, T. Toro, E. Milakis, 2012, 1210.5591.

Harmonic Analysis on Chord Arc Domains

J. Pipher, T. Toro, E. Milakis, 2011, 1101.0331.

BMO solvability and the $A_\infty$ condition for second order parabolic operators

J. Pipher, Martin Dindovs, S. Petermichl, 2015, 1510.05813.

Sparse Domination for Bi-Parameter Operators Using Square Functions

J. Pipher, Alexander Barron, 2017, 1709.05009.

Dyadic structure theorems for multiparameter function spaces

Lesley A. Ward, J. Pipher, Ji Li, 2015 .

One-parameter and multiparameter function classes are intersections of finitely many dyadic classes. ∗

Lesley A. Ward, J. Pipher, Ji Li, 2012, 1204.6559.

Multi‐parameter Div–Curl lemmas

J. Pipher, M. Lacey, B. Wick, 2010, 1001.2534.

Sparse bounds for the bilinear spherical maximal function

Zirui Zhou, J. Pipher, Yumeng Ou, 2022, Journal of the London Mathematical Society.

NSS: An NTRU Lattice-Based Signature Scheme

Joseph H. Silverman, Jill Pipher, Jeffrey Hoffstein, 2001, EUROCRYPT.

Practical Lattice-Based Cryptography: NTRUEncrypt and NTRUSign

William Whyte, Nick Howgrave-Graham, Jill Pipher, 2010, The LLL Algorithm.

Performance Improvements and a Baseline Parameter Generation Algorithm for NTRUSign

William Whyte, Nick Howgrave-Graham, Joseph H. Silverman, 2005, IACR Cryptol. ePrint Arch..

Boundary value problems for second-order elliptic operators with complex coefficients

J. Pipher, Martin Dindovs, 2018, Analysis & PDE.

Regularity theory for solutions to second order elliptic operators with complex coefficients and the L Dirichlet problem

J. Pipher, Martin Dindovs, 2016, Advances in Mathematics.

The Inhomogeneous Dirichlet Problem forΔ2in Lipschitz Domains

J. Pipher, V. Adolfsson, 1998 .

A maximum principle for biharmonic functions in Lipschitz andC1 domains

Jill Pipher, J. Pipher, G. Verchota, 1993 .

Boundary Value Problems for Higher Order Operators in Lipschitz and C1 Domains

J. Pipher, 2019 .

The Inhomogeneous Dirichlet Problem for 2 2 in

J. Pipher, V. Adolfsson, 1998 .

Area integral estimates for higher order elliptic equations and systems

C. Kenig, J. Pipher, G. Verchota, 1997 .

Boundary Value Problems for Higher Order Operators in Lipschitz and $C^1$ Domains

J. Pipher, 1993 .

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

J. Pipher, S. Mayboroda, S. Hofmann, 2019, Mathematische Annalen.

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

Jill Pipher, Svitlana Mayboroda, Steve Hofmann, 2019, Mathematische Zeitschrift.

The regularity problem for second order elliptic operators with complex-valued bounded measurable coefficients

C. Kenig, J. Pipher, S. Mayboroda, 2013, 1301.5209.

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

J. Pipher, G. Verchota, 1992 .

The p-ellipticity condition for second order elliptic systems and applications to the Lamé and homogenization problems

J. Pipher, Jungang Li, M. Dindoš, 2020, Journal of Differential Equations.

Area integral estimates for the biharmonic operator in Lipschitz domains

J. Pipher, G. Verchota, 1991 .

EQUATION ON LIPSCHITZ DOMAINS

J. Pipher, G. Verchota, 2016 .

Geometric-arithmetic averaging of dyadic weights.

Lesley A. Ward, J. Pipher, Xiao Xiao, 2010, 1002.3197.

Modular lattice signatures, revisited

Zhenfei Zhang, Dipayan Das, William Whyte, 2019, IACR Cryptol. ePrint Arch..

Optimal estimates for the inhomogeneous problem for the bi-Laplacian in three-dimensional Lipschitz domains

J. Pipher, M. Mitrea, I. Mitrea, 2011 .

The Boundary value problems for second order elliptic operators satisfying a Carleson condition

J. Pipher, David J. Rule, Martin Dindovs, 2013, 1301.0426.

Balanced measures, sparse domination and complexity-dependent weight classes

José M. Conde-Alonso, Nathan A. Wagner, J. Pipher, 2023, 2309.13943.

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

J. Pipher, G. Lu, Lu Zhang, 2018, Mathematische Zeitschrift.

Lattices and Cryptography

J. Hoffstein, J. Pipher, J. Silverman, 2014 .

The h-path distribution of the lifetime of conditioned brownian motion for non-smooth domains

C. Kenig, J. Pipher, 1989 .

Boundary behavior of solutions of elliptic operators in divergence form with a BMO anti-symmetric part

J. Pipher, Linhan Li, 2017, Communications in Partial Differential Equations.

Perturbation Theory for Solutions to Second Order Elliptic Operators with Complex Coefficients and the Lp Dirichlet Problem

J. Pipher, M. Dindoš, 2018, Acta Mathematica Sinica, English Series.

Practical Signatures from the Partial Fourier Recovery Problem

William Whyte, Joseph H. Silverman, Jill Pipher, 2014, IACR Cryptol. ePrint Arch..