Mathematics

[176] Cryptanalysis of PASS II and MiniPass

Bok-Min Goi Centre for Cryptography and Information Security (CCIS), Faculty of Engineering, Multimedia University, 63100, Cyberjaya, Malaysia Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA M. U. Siddiqi Centre for Cryptography and Information Security (CCIS), Faculty of Engineering, Multimedia University, 63100, Cyberjaya, Malaysia

TBD mathscidoc:2207.43017

ICICS 2005, 159–168, 2005.12
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[177] Complexity Estimates for the F_4 Attack on the Perturbed Matsumoto-Imai Cryptosystem

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45211-0025, USA J. E. Gower Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45211-0025, USA D. Schmidt Department of Electrical & Computer Engineering and Computer Science, University of Cincinnati, Cincinnati, OH 45211-0030, USA C. Wolf K.U. Leuven ESAT-COSIC, Kasteelpark Arenberg 10, B-3001 Leuven-Heverlee, Belgium Z. Yin Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45211-0025, USA

TBD mathscidoc:2207.43016

IMACC 2005, 262-277, 2005.12
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[178] Cryptanalysis of HFEv and Internal Perturbation of HFE

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221, USA Dieter Schmidt Department of Electrical & Computer Engineering and Computer Science, University of Cincinnati, Cincinnati, OH, 45221, USA

TBD mathscidoc:2207.43015

Public Key Cryptography 2005, 288-301, 2005.3
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[179] Dimension of the Linearization Equations of the Matsumoto-Imai Cryptosystems

Adama Diene Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA Jason E. Gower Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA Timothy J. Hodges Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA Zhijun Yin Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221-0025, USA

TBD mathscidoc:2207.43014

WCC 2005, 242-251, 2005.3
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[180] Inoculating Multivariate Schemes Against Differential Attacks

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025 USA Jason E. Gower Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH 45221-0025 USA

TBD mathscidoc:2207.43013

Public Key Cryptography - PKC 2006, 290–301, 2006.4
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[181] Multivariable public-key cryptosystems

Jintai Ding Dieter Schmidt

TBD mathscidoc:2207.43012

IACR Cryptology ePrint Archive, 350, 2004.12
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[182] Cryptanalysis of SFlash v3

Jintai Ding Dieter Schmidt

TBD mathscidoc:2207.43011

IACR Cryptology ePrint Archive, 103, 2004.5
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[183] A New Variant of the Matsumoto-Imai Cryptosystem through Perturbation

Jintai Ding Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45220, USA

TBD mathscidoc:2207.43010

Public Key Cryptography 2004, 305-318, 2004.3
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[184] The Grothendieck Ring of a Family of Spherical Categories

Zhengwei Liu Christopher Ryba

Category Theory Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.04005

2020.7
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[185] Classification of Grothendieck rings of complex fusion categories of multiplicity one up to rank six

Zhengwei Liu Sebastien Palcoux Yunxiang Ren

Category Theory Quantum Algebra mathscidoc:2207.04004

2022.1
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[186] Witten-Morse functions and Morse inequalities on digraphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Chong Wang School of Mathematics, Renmin University of China, Beijing 100872, China; School of Mathematics and Statistics, Cangzhou Normal University, 061000 China

Combinatorics Algebraic Topology and General Topology mathscidoc:2207.06006

arXiv, 2021.8
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[187] The adjoint braid arrangement as a combinatorial Lie algebra via the Steinmann relations

Zhengwei Liu William Norledge Adrian Ocneanu

Combinatorics mathscidoc:2207.06005

2022.1
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[188] The existence of the solution of the wave equation on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03011

arXiv, 2021.8
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[189] Quantized Graphs and Quantum Error Correction

Zhengwei Liu au Mathematical Science Center and Department of Mathematics, Tsinghua University, Beijing 100084, China

Mathematical Physics Quantum Algebra arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22008

2019.10
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[190] Universal Quantum Computation by a Single Photon

Xiaoqin Gao Institute for Quantum Optics and Quantum Information (IQOQI), Austrian Academy of Sciences, Boltzmanngasse 3, 1090 Vienna, Austria; Vienna Center for Quantum Science & Technology (VCQ), Faculty of Physics, University of Vienna, Boltzmanngasse 5, 1090 Vienna, Austria; National Mobile Communications Research Laboratory, Quantum Information Research Center, Southeast University, Sipailou 2, 210096 Nanjing, China Zhengwei Liu YMSC and Department of Mathematics, Tsinghua University, Beijing 100084, China

TBD mathscidoc:2207.43009

2019.9
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[191] Semilinear heat equations and parabolic variational inequalities on graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yuanyuan Xie School of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs mathscidoc:2207.03010

arXiv, 2021.8
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[192] Yang-Baxter relation planar algebras

Zhengwei Liu Harvard University, Cambridge, MA 02138

Mathematical Physics Quantum Algebra Spectral Theory and Operator Algebra mathscidoc:2207.22007

2016.4
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[193] Payne-Polya-Weinberger, Hile-Protter and Yang's inequalities for Dirichlet Laplace eigenvalues on integer lattices

Bobo Hua School of Mathematical Sciences, LMNS, Fudan University, Shanghai 200433, China Yong Lin Department of Mathematics, Information School, Renmin University of China, Beijing 100872, China Yanhui Su College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350116, China

Differential Geometry mathscidoc:2207.10007

arXiv, 2017.10
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[194] Obituary: Vaughan Jones

Zhengwei Liu Tsinghua Univerity, China

TBD mathscidoc:2207.43008

Notices of the International Congress of Chinese Mathematicians, 9, (1), 69-73, 2021.10
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[195] Fusion bialgebras and Fourier analysis: Analytic obstructions for unitary categorification

Zhengwei Liu Yau Mathematical Sciences Center and Department of Mathematics, Tsinghua University, Beijing, 100084, China; Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Sebastien Palcoux Beijing Institute of Mathematical Sciences and Applications, Huairou District, Beijing, 101408, China Jinsong Wu Institute for Advanced Study in Mathematics, Harbin Institute of Technology, Harbin, 150001, China

Category Theory Functional Analysis Quantum Algebra Rings and Algebras Spectral Theory and Operator Algebra mathscidoc:2207.04003

Advances in Mathematics, 390, 107905, 2021.10
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[196] Discrete Morse Theory on Digraphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, China Chong Wang School of Mathematics, Renmin University of China, Beijing 100872, China; School of Mathematics and Statistics, Cangzhou Normal University, 061000 China Shing-Tung Yau Department of Mathematics, Harvard University, Cambridge MA 02138, USA

Combinatorics Algebraic Topology and General Topology mathscidoc:2207.06004

Pure and Applied Mathematics Quarterly
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[197] Antisymmetric characters and Fourier duality

Zhengwei Liu Harvard University, Cambridge, USA Jinsong Wu IASM, Harbin Institute of Technology and Harvard University, Harbin, China

Mathematical Physics Quantum Algebra Representation Theory Spectral Theory and Operator Algebra mathscidoc:2207.22006

Communications in Mathematical Physics, 384, 77-108, 2021.4
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[198] Calculus of variations on locally finite graphs

Yong Lin Yau Mathematical Sciences Center, Tsinghua University, Beijing, 100084, China Yunyan Yang Department of Mathematics, Renmin University of China, Beijing, 100872, China

Analysis of PDEs Combinatorics mathscidoc:2207.03009

Revista Matemática Complutense, 2021.9
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[199] A Mathematical Picture Language Project

Arthur Jaffe Harvard University, Cambridge, MA 02138, USA Zhengwei Liu Tsinghua University, Beijing, China

Mathematical Physics mathscidoc:2207.22005

2020.6
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[200] Reflection Positivity and Levin-Wen Models

Arthur Jaffe Harvard University, Cambridge, MA 02138, United States of America Zhengwei Liu Harvard University, Cambridge, MA 02138, United States of America

Mathematical Physics arXiv subject: High Energy Physics - Theory (hep-th) mathscidoc:2207.22004

Expositiones Mathematicae, 38, (2), 202-216, 2020.6
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