2026 Martin Burger: Mathematics Researcher – H-Index, Publications & Awards

D-Index & Metrics

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	62	479	401	24	23	277	14921
Engineering and Technology	63	1753	1669	52	51	285	15121

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

479

401

277

14921

Engineering and Technology

1753

1669

285

15121

Mathematics

D-Index

Citations

14921

World Ranking

479

National Ranking

Engineering and Technology

D-Index

Citations

15121

World Ranking

1753

National Ranking

Overview

Martin Burger is affiliated with the University of Erlangen-Nuremberg in Germany and focuses on research that intersects mathematics and computer science. Their work spans 83 publications in mathematics and 47 in computer science, reflecting a broad interdisciplinary approach.

The scientist's research emphasizes several subfields, including:

Mathematical Physics
Applied Mathematics
Statistical and Nonlinear Physics
Computational Mechanics
Artificial Intelligence

Key research topics addressed include:

Numerical methods in inverse problems
Mathematical Biology Tumor Growth
Nonlinear Partial Differential Equations
Advanced Mathematical Modeling in Engineering
Sparse and Compressive Sensing Techniques
Medical Imaging Techniques and Applications
Geometric Analysis and Curvature Flows

Martin Burger has co-authored frequently with several researchers, including:

Jan-Frederik Pietschmann (10 collaborations)
Maria Bruna (9 collaborations)
Daniel Tenbrinck (9 collaborations)
Tim Roith (9 collaborations)
Leon Bungert (7 collaborations)

Their work has been published repeatedly in a range of venues. Notable publication venues include:

arXiv (Cornell University) - 35 publications
European Journal of Applied Mathematics - 5 publications
Nonlinear Analysis - 3 publications
SIAM Journal on Applied Mathematics - 3 publications
Kinetic and Related Models - 3 publications

Among recent papers, important contributions include:

"Delayed blow-up for chemotaxis models with local sensing," 2020, Journal of the London Mathematical Society
"Porous medium equation and cross-diffusion systems as limit of nonlocal interaction," 2023, Nonlinear Analysis
"Segregation effects and gap formation in cross-diffusion models," 2020, Interfaces and Free Boundaries Mathematical Analysis Computation and Applications
"Optical flow analysis reveals that Kinesin-mediated advection impacts the orientation of microtubules in the Drosophila oocyte," 2020, Molecular Biology of the Cell
"Phase Separation in Systems of Interacting Active Brownian Particles," 2022, SIAM Journal on Applied Mathematics

Best Publications

An Iterative Regularization Method for Total Variation-Based Image Restoration

Stanley J. Osher;Martin Burger;Donald Goldfarb;Jinjun Xu

2339
Citations
Bregmanized Nonlocal Regularization for Deconvolution and Sparse Reconstruction

Xiaoqun Zhang;Martin Burger;Xavier Bresson;Stanley Osher

803
Citations
A Unified Primal-Dual Algorithm Framework Based on Bregman Iteration

Xiaoqun Zhang;Martin Burger;Stanley Osher

490
Citations
Incorporating topological derivatives into level set methods

Martin Burger;Benjamin Hackl;Wolfgang Ring

478
Citations
Convergence rates of convex variational regularization

Martin Burger;Stanley Osher

404
Citations
Modern Regularization Methods for Inverse Problems

Martin Benning;Martin Burger

381
Citations
A survey on level set methods for inverse problems and optimal design

Martin Burger;Stanley J. Osher

364
Citations
A framework for the construction of level set methods for shape optimization and reconstruction

Martin Burger

291
Citations
Phase-Field Relaxation of Topology Optimization with Local Stress Constraints

Martin Burger;Roman Stainko

235
Citations
Nonlinear inverse scale space methods

Martin Burger;Guy Gilboa;Stanley Osher;Jinjun Xu

229
Citations
Shape from Defocus via Diffusion

P. Favaro;S. Soatto;M. Burger;S.J. Osher

222
Citations
A level set method for inverse problems

Martin Burger

218
Citations
On an aggregation model with long and short range interactions

Martin Burger;Vincenzo Capasso;Daniela Morale

210
Citations
Cahn-Hilliard Inpainting and a Generalization for Grayvalue Images

Martin Burger;Lin He;Carola-Bibiane Schönlieb

210
Citations
A Hyperelastic Regularization Energy for Image Registration

Martin Burger;Jan Modersitzki;Lars Ruthotto

196
Citations
Motion Correction in Dual Gated Cardiac PET Using Mass-Preserving Image Registration

F. Gigengack;L. Ruthotto;M. Burger;C. H. Wolters

161
Citations
The Keller–Segel Model for Chemotaxis with Prevention of Overcrowding: Linear vs. Nonlinear Diffusion

Martin Burger;Marco Di Francesco;Yasmin Dolak‐Struss

158
Citations
Nonlinear cross-diffusion with size exclusion

Martin Burger;Marco Di Francesco;Jan-Frederik Pietschmann;Bärbel Schlake

153
Citations
A Guide to the TV Zoo

Martin Burger;Stanley Osher

146
Citations
Mean field games with nonlinear mobilities in pedestrian dynamics

Martin Burger;Marco Di Francesco;Peter A. Markowich;Marie Therese Wolfram

144
Citations
Iterative Solution Methods.

Martin Burger;Barbara Kaltenbacher;Andreas Neubauer

9
Citations

Frequent Co-Authors

Carola-Bibiane Schönlieb University of Cambridge

Stanley Osher University of California, Los Angeles

Carsten H. Wolters University of Münster

Xiaoyi Jiang University of Münster

Heinz W. Engl University of Vienna

Peter A. Markowich King Abdullah University of Science and Technology

José A. Carrillo University of Oxford

Axel Voigt TU Dresden

Eli Yablonovitch University of California, Berkeley

Zuzanna S. Siwy University of California, Irvine

External Links

Personal website of Martin Burger Google Scholar page

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