2026 Peter J. Olver: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	64	402	333	213	164	299	36219

Research.com Recognitions

2014 - SIAM Fellow For developing new geometric methods for differential equations leading to applications in fluid mechanics, elasticity, quantum mechanics, and image processing.
2013 - Fellow of the American Mathematical Society

Overview

Peter J. Olver is affiliated with the University of Minnesota in the United States. Their research spans primarily the fields of Mathematics and Physics and Astronomy, with significant contributions in subfields such as Statistical and Nonlinear Physics, Mathematical Physics, Computer Vision and Pattern Recognition, Archeology, and Geometry and Topology.

Their scholarly output includes recent papers covering diverse topics, among them:

Use and Misuse of Machine Learning in Anthropology, 2022, published in IEEE BITS the Information Theory Magazine
The virtual goniometer: demonstrating a new method for measuring angles on archaeological materials using fragmentary bone, 2021, published in Archaeological and Anthropological Sciences
Feature Matching and Heat Flow in Centro-Affine Geometry, 2020, published in Symmetry Integrability and Geometry Methods and Applications
Joint differential invariants of binary and ternary forms, 2020, published in Portugaliae Mathematica
Dispersive fractalisation in linear and nonlinear Fermi-Pasta-Ulam-Tsingou lattices, 2021, published in European Journal of Applied Mathematics

Frequent co-authors collaborating with Peter J. Olver include Jeff Calder, Katrina Yezzi-Woodley, Changzheng Qu, James Read, and Reed Coil.

Regarding publication venues, their work often appears in:

arXiv (Cornell University)
Studies in Applied Mathematics
European Journal of Applied Mathematics
IEEE BITS the Information Theory Magazine
Archaeological and Anthropological Sciences

They have contributed to academic literature through book publications with notable publishers. These include:

The Philosophy and Physics of Noether's Theorems, published by Cambridge University Press in 2022
Linear Algebra, Data Science, and Machine Learning, forthcoming from Springer Nature in 2025

The main topics of research addressed by Peter J. Olver involve:

Nonlinear Waves and Solitons
Forensic Anthropology and Bioarchaeology Studies
Image Processing and 3D Reconstruction
Algebraic structures and combinatorial models
Pleistocene-Era Hominins and Archaeology
Nonlinear Photonic Systems
Advanced Mathematical Physics Problems

Their recognized awards include being named a SIAM Fellow in 2014, cited for developing new geometric methods in differential equations with applications in fluid mechanics, elasticity, quantum mechanics, and image processing. They were also named a Fellow of the American Mathematical Society in 2013.

Best Publications

Applications of Lie Groups to Differential Equations

Peter J. Olver

13067
Citations
Equivalence, invariants, and symmetry

Peter J. Olver

1640
Citations
Gradient flows and geometric active contour models

S. Kichenassamy;A. Kumar;P. Olver;A. Tannenbaum

980
Citations
A geometric snake model for segmentation of medical imagery

A. Yezzi;S. Kichenassamy;A. Kumar;P. Olver

933
Citations
Tri-Hamiltonian duality between solitons and solitary-wave solutions having compact support.

Peter J. Olver;Philip Rosenau

844
Citations
Classical invariant theory

Peter J. Olver

837
Citations
Evolution equations possessing infinitely many symmetries

Peter J. Olver

761
Citations
Well-posedness and Blow-up Solutions for an Integrable Nonlinearly Dispersive Model Wave Equation

Yi A Li;Peter J Olver

711
Citations
Conformal curvature flows: From phase transitions to active vision

Satyanad Kichenassamy;Arun Kumar;Peter Olver;Allen Tannenbaum

604
Citations
Moving Coframes: II. Regularization and Theoretical Foundations

Mark Fels;Peter J. Olver

540
Citations
Moving coframes. I. A practical algorithm

Mark Fels;Peter J. Olver

434
Citations
Null Lagrangians, weak continuity, and variational problems of arbitrary order

J.M Ball;J.C Currie;P.J Olver

426
Citations
Introduction to Partial Differential Equations

Peter J. Olver

390
Citations
The construction of special solutions to partial differential equations

Peter J. Olver;Philip Rosenau

364
Citations
Group-invariant solutions of differential equations

Peter J. Olver;Philip Rosenau

354
Citations
Euler operators and conservation laws of the BBM equation

Peter J. Olver

350
Citations
Differential and Numerically Invariant Signature Curves Applied to Object Recognition

Eugenio Calabi;Peter J. Olver;Chehrzad Shakiban;Allen Tannenbaum

323
Citations
Wave-Breaking and Peakons for a Modified Camassa-Holm Equation

Guilong Gui;Guilong Gui;Yue Liu;Peter J. Olver;Changzheng Qu

277
Citations
Existence and nonexistence of solitary wave solutions to higher-order model evolution equations

Satyanad Kichenassamy;Peter J. Olver

260
Citations
Integrable Evolution Equations on Associative Algebras

Peter J. Olver;Vladimir V. Sokolov

249
Citations
Applied linear algebra

Peter J Olver;Chehrzad Shakiban

221
Citations
Linear and Nonlinear Waves

Peter J. Olver

65
Citations

Frequent Co-Authors

Allen Tannenbaum Stony Brook University

Niky Kamran McGill University

Pavel Winternitz University of Montreal

Decio Levi Roma Tre University

Guillermo Sapiro Princeton University

Philip Rosenau Tel Aviv University

Anthony Yezzi Georgia Institute of Technology

Yue Liu The University of Texas at Arlington

Gerald Sommer Kiel University

Endre Süli University of Oxford

External Links

Wikipedia of Peter J. Olver Personal website of Peter J. Olver Google Scholar page

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