Michael Loss

6.0k total citations · 1 hit paper
80 papers, 2.7k citations indexed

About

Michael Loss is a scholar working on Mathematical Physics, Applied Mathematics and Computational Theory and Mathematics. According to data from OpenAlex, Michael Loss has authored 80 papers receiving a total of 2.7k indexed citations (citations by other indexed papers that have themselves been cited), including 44 papers in Mathematical Physics, 41 papers in Applied Mathematics and 21 papers in Computational Theory and Mathematics. Recurrent topics in Michael Loss's work include Spectral Theory in Mathematical Physics (29 papers), Numerical methods in inverse problems (20 papers) and Nonlinear Partial Differential Equations (20 papers). Michael Loss is often cited by papers focused on Spectral Theory in Mathematical Physics (29 papers), Numerical methods in inverse problems (20 papers) and Nonlinear Partial Differential Equations (20 papers). Michael Loss collaborates with scholars based in United States, France and Germany. Michael Loss's co-authors include Elliott H. Lieb, Eric A. Carlen, Élliott H. Lieb, Jean Dolbeault, Maria J. Esteban, Rupert L. Frank, Horng‐Tzer Yau, Rafael D. Benguria, Marcel Griesemer and Bernd Thaller and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and Mathematics of Computation.

In The Last Decade

Michael Loss

77 papers receiving 2.5k citations

Hit Papers

Analysis 2001 2026 2009 2017 2001 250 500 750 1000
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Analysis
    2001 1.1k citations Elliott H. Lieb, Michael Loss Graduate studies in mathematics profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Michael Loss United States 25 1.5k 1.4k 755 471 460 80 2.7k
Jean Dolbeault France 29 1.3k 0.8× 2.2k 1.6× 1.2k 1.6× 255 0.5× 486 1.1× 168 3.2k
Eric A. Carlen United States 26 777 0.5× 1.1k 0.8× 446 0.6× 261 0.6× 473 1.0× 105 2.2k
Leonard Gross United States 22 1.4k 0.9× 1.3k 0.9× 551 0.7× 209 0.4× 296 0.6× 51 2.5k
Н. И. Ахиезер United States 7 953 0.6× 860 0.6× 622 0.8× 461 1.0× 556 1.2× 12 2.4k
Bernard Helffer France 33 2.8k 1.8× 1.1k 0.8× 1.3k 1.8× 651 1.4× 1.1k 2.5× 217 3.9k
Mikhail Shubin United States 21 1.6k 1.0× 1.0k 0.7× 572 0.8× 211 0.4× 468 1.0× 89 2.5k
B. M. Levitan Israel 15 1.4k 0.9× 900 0.6× 765 1.0× 158 0.3× 430 0.9× 52 2.1k
Sylvia Serfaty France 25 642 0.4× 659 0.5× 472 0.6× 237 0.5× 248 0.5× 56 1.7k
Israel Michael Sigal Canada 29 2.2k 1.4× 399 0.3× 416 0.6× 1.3k 2.8× 1.4k 3.2× 124 3.1k
Clément Mouhot France 24 739 0.5× 1.3k 0.9× 197 0.3× 183 0.4× 512 1.1× 61 1.8k

Countries citing papers authored by Michael Loss

Since Specialization
Citations

This map shows the geographic impact of Michael Loss's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Michael Loss with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Michael Loss more than expected).

Fields of papers citing papers by Michael Loss

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Michael Loss. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Michael Loss. The network helps show where Michael Loss may publish in the future.

Co-authorship network of co-authors of Michael Loss

This figure shows the co-authorship network connecting the top 25 collaborators of Michael Loss. A scholar is included among the top collaborators of Michael Loss based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Michael Loss. Michael Loss is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Dolbeault, Jean, Maria J. Esteban, Alessio Figalli, Rupert L. Frank, & Michael Loss. (2025). A Short Review on Improvements and Stability for Some Interpolation Inequalities. arXiv (Cornell University). 37–60. 1 indexed citations
2.
Frank, Rupert L. & Michael Loss. (2024). A sharp criterion for zero modes of the Dirac equation. Journal of the European Mathematical Society. 28(1). 305–331. 1 indexed citations
3.
Bonheure, Denis, Jean Dolbeault, Maria J. Esteban, Ари Лаптев, & Michael Loss. (2019). Symmetry Results in Two-Dimensional Inequalities for Aharonov–Bohm Magnetic Fields. Communications in Mathematical Physics. 375(3). 2071–2087. 5 indexed citations
4.
Dolbeault, Jean, Maria J. Esteban, & Michael Loss. (2017). Interpolation inequalities on the sphere: linear <i>vs.</i> nonlinear flows. Annales de la faculté des sciences de Toulouse Mathématiques. 8 indexed citations
5.
Dolbeault, Jean, Maria J. Esteban, Michael Loss, & Matteo Muratori. (2016). Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg\n inequalities. arXiv (Cornell University). 13 indexed citations
6.
Dolbeault, Jean, Maria J. Esteban, Ари Лаптев, & Michael Loss. (2013). Spectral properties of Schr\\"odinger operators on compact manifolds:\n rigidity, flows, interpolation and spectral estimates. arXiv (Cornell University). 7 indexed citations
7.
Frank, Rupert L. & Michael Loss. (2011). Hardy–Sobolev–Mazʼya inequalities for arbitrary domains. Journal de Mathématiques Pures et Appliquées. 97(1). 39–54. 20 indexed citations
8.
Carlen, Eric A., Maria C. Carvalho, Jonathan Le Roux, Michael Loss, & Cédric Villani. (2010). Entropy and chaos in the Kac model. Kinetic and Related Models. 3(1). 85–122. 30 indexed citations
9.
Loss, Michael, et al.. (2009). Low energy properties of the random displacement model. Journal of Functional Analysis. 256(8). 2725–2740. 8 indexed citations
10.
Benguria, Rafael D., Rupert L. Frank, & Michael Loss. (2008). The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space. Mathematical Research Letters. 15(4). 613–622. 45 indexed citations
11.
Loss, Michael. (2007). Stability of matter. Contemporary mathematics - American Mathematical Society. 171–198. 2 indexed citations
12.
Loss, Michael, et al.. (2006). Lowest energy states in nonrelativistic QED: Atoms and ions in motion. Journal of Functional Analysis. 243(2). 353–393. 25 indexed citations
13.
Dolbeault, Jean, et al.. (2006). Lieb–Thirring type inequalities and Gagliardo–Nirenberg inequalities for systems. Journal of Functional Analysis. 238(1). 193–220. 27 indexed citations
14.
Exner, Pavel, Evans M. Harrell, & Michael Loss. (2005). Inequalities for means of chords, with application to isoperimetric problems. 10 indexed citations
15.
Carlen, Eric A. & Michael Loss. (2004). Logarithmic Sobolev inequalities and spectral gaps. Contemporary mathematics - American Mathematical Society. 53–60. 8 indexed citations
16.
Dolbeault, Jean, Maria J. Esteban, Michael Loss, & Luis Vega. (2003). An analytical proof of Hardy-like inequalities related to the Dirac operator. Journal of Functional Analysis. 216(1). 1–21. 26 indexed citations
17.
Lieb, Elliott H. & Michael Loss. (2001). Analysis. Graduate studies in mathematics. 1069 indexed citations breakdown →
18.
Carlen, Eric A. & Michael Loss. (1995). Optimal smoothing and decay estimates for viscously damped conservation laws, with applications to the 2-D Navier-Stokes equation. Duke Mathematical Journal. 81(1). 41 indexed citations
19.
Lieb, Élliott H. & Michael Loss. (1994). Symmetry of the Ginzburg Landau minimizer in a disc. Mathematical Research Letters. 1(6). 701–715. 24 indexed citations
20.
Loss, Michael & Bernd Thaller. (1988). Short-range scattering in long-range magnetic fields: The relativistic case. Journal of Differential Equations. 73(2). 225–236. 7 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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