Steve Hofmann

3.5k total citations · 1 hit paper
86 papers, 1.8k citations indexed

About

Steve Hofmann is a scholar working on Applied Mathematics, Mathematical Physics and Computational Theory and Mathematics. According to data from OpenAlex, Steve Hofmann has authored 86 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 80 papers in Applied Mathematics, 35 papers in Mathematical Physics and 29 papers in Computational Theory and Mathematics. Recurrent topics in Steve Hofmann's work include Advanced Harmonic Analysis Research (64 papers), Nonlinear Partial Differential Equations (38 papers) and Advanced Mathematical Modeling in Engineering (28 papers). Steve Hofmann is often cited by papers focused on Advanced Harmonic Analysis Research (64 papers), Nonlinear Partial Differential Equations (38 papers) and Advanced Mathematical Modeling in Engineering (28 papers). Steve Hofmann collaborates with scholars based in United States, Spain and France. Steve Hofmann's co-authors include Svitlana Mayboroda, Alan McIntosh, Marius Mitrea, Pascal Auscher, José María Martell, John L. Lewis, Michael T. Lacey, Dorina Mitrea, Lixin Yan and Guozhen Lu and has published in prestigious journals such as Annals of Mathematics, Journal of Mathematical Analysis and Applications and Transactions of the American Mathematical Society.

In The Last Decade

Steve Hofmann

84 papers receiving 1.6k citations

Hit Papers

Hardy spaces associated to non-negative self-adjoint oper... 2011 2026 2016 2021 2011 50 100 150
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. Hardy spaces associated to non-negative self-adjoint operators satisfying Davies-Gaffney estimates
    2011 186 citations Steve Hofmann, Marius Mitrea et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Steve Hofmann United States 23 1.6k 971 541 74 69 86 1.8k
Andreas Seeger United States 22 1.5k 1.0× 1.0k 1.1× 163 0.3× 162 2.2× 77 1.1× 90 1.7k
Eric T. Sawyer Canada 27 2.5k 1.6× 1.2k 1.2× 253 0.5× 190 2.6× 238 3.4× 93 2.6k
Mario Milman United States 20 1.1k 0.7× 640 0.7× 106 0.2× 122 1.6× 95 1.4× 88 1.2k
Björn E. J. Dahlberg Sweden 21 1.2k 0.7× 547 0.6× 877 1.6× 76 1.0× 117 1.7× 38 1.4k
Stathis Filippas Greece 16 799 0.5× 429 0.4× 442 0.8× 48 0.6× 62 0.9× 30 930
Dorina Mitrea United States 15 701 0.4× 489 0.5× 436 0.8× 26 0.4× 28 0.4× 56 887
Henrik Shahgholian Sweden 16 744 0.5× 393 0.4× 690 1.3× 66 0.9× 61 0.9× 98 937
Angelo Alvino Italy 17 1.0k 0.6× 516 0.5× 750 1.4× 70 0.9× 78 1.1× 47 1.1k
Bohumı́r Opic Czechia 20 1.6k 1.0× 760 0.8× 353 0.7× 215 2.9× 92 1.3× 69 1.7k
Tero Kilpeläinen Finland 20 1.4k 0.9× 643 0.7× 905 1.7× 38 0.5× 248 3.6× 39 1.5k

Countries citing papers authored by Steve Hofmann

Since Specialization
Citations

This map shows the geographic impact of Steve Hofmann'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 Steve Hofmann with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Steve Hofmann more than expected).

Fields of papers citing papers by Steve Hofmann

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Steve Hofmann. 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 Steve Hofmann. The network helps show where Steve Hofmann may publish in the future.

Co-authorship network of co-authors of Steve Hofmann

This figure shows the co-authorship network connecting the top 25 collaborators of Steve Hofmann. A scholar is included among the top collaborators of Steve Hofmann 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 Steve Hofmann. Steve Hofmann 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.
Hofmann, Steve, et al.. (2023). Corona Decompositions for Parabolic Uniformly Rectifiable Sets. Journal of Geometric Analysis. 33(3). 2 indexed citations
2.
Hoffman, John W., et al.. (2023). Carleson measure estimates for caloric functions and parabolic uniformly rectifiable sets. Analysis & PDE. 16(4). 1061–1088. 2 indexed citations
3.
Hoffman, John W., et al.. (2022). On big pieces approximations of parabolic hypersurfaces. KTH Publication Database DiVA (KTH Royal Institute of Technology). 47(1). 533–571. 2 indexed citations
4.
Hofmann, Steve & Guoming Zhang. (2021). L2 estimates for commutators of the Dirichlet-to-Neumann Map associated to elliptic operators with complex-valued bounded measurable coefficients on R + n + 1 . Journal of Mathematical Analysis and Applications. 504(2). 125408–125408. 2 indexed citations
5.
Hofmann, Steve & José María Martell. (2017). A sufficient geometric criterion for quantitative absolute continuity of harmonic measure. arXiv (Cornell University). 2 indexed citations
6.
Hofmann, Steve, José María Martell, & Tatiana Toro. (2017). A∞ implies NTA for a class of variable coefficient elliptic operators. Journal of Differential Equations. 263(10). 6147–6188. 20 indexed citations
7.
Azzam, Jonas, Steve Hofmann, José María Martell, Kaj Nyström, & Tatiana Toro. (2017). A new characterization of chord-arc domains. Journal of the European Mathematical Society. 19(4). 967–981. 28 indexed citations
8.
Hofmann, Steve, Marius Mitrea, & Andrew J. Morris. (2015). The method of layer potentials inLpand endpoint spaces for elliptic operators withL∞coefficients. Proceedings of the London Mathematical Society. 111(3). 681–716. 15 indexed citations
9.
Hofmann, Steve, Carlos E. Kenig, Svitlana Mayboroda, & Jill Pipher. (2014). Square function/non-tangential maximal function estimates and the Dirichlet problem for non-symmetric elliptic operators. Journal of the American Mathematical Society. 28(2). 483–529. 45 indexed citations
10.
Hofmann, Steve, Svitlana Mayboroda, & Mihalis Mourgoglou. (2014). Layer potentials and boundary value problems for elliptic equations with complex L∞ coefficients satisfying the small Carleson measure norm condition. Advances in Mathematics. 270. 480–564. 17 indexed citations
11.
Auscher, Pascal, Steve Hofmann, & José María Martell. (2012). Vertical versus conical square functions. Transactions of the American Mathematical Society. 364(10). 5469–5489. 15 indexed citations
12.
Hofmann, Steve & José María Martell. (2011). 𝐴_{∞} estimates via extrapolation of Carleson measures and applications to divergence form elliptic operators. Transactions of the American Mathematical Society. 364(1). 65–101. 6 indexed citations
13.
Auscher, Pascal, et al.. (2010). Analyticity of layer potentials and L2 solvability of boundary value problems for divergence form elliptic equations with complex L∞ coefficients. Advances in Mathematics. 226(5). 4533–4606. 41 indexed citations
14.
Hofmann, Steve & John L. Lewis. (2004). The Lp Neumann problem for the heat equation in non-cylindrical domains. Journal of Functional Analysis. 220(1). 1–54. 16 indexed citations
15.
Hofmann, Steve, John L. Lewis, & Kaj Nyström. (2003). EXISTENCE OF BIG PIECES OF GRAPHS FOR PARABOLIC PROBLEMS. Annales Academiae Scientiarum Fennicae Mathematica. 28(2). 355–384. 19 indexed citations
16.
Hofmann, Steve. (1998). An Off-DiagonalT1 Theorem and Applications. Journal of Functional Analysis. 160(2). 581–622. 7 indexed citations
17.
Hofmann, Steve. (1993). A note on weighted Sobolev spaces, and regularity of commutators and layer potentials associated to the heat equation. Proceedings of the American Mathematical Society. 118(4). 1087–1096. 1 indexed citations
18.
Hofmann, Steve. (1990). Singular integrals with power weights. Proceedings of the American Mathematical Society. 110(2). 343–353. 6 indexed citations
19.
Hofmann, Steve. (1990). Singular Integrals with Power Weights. Proceedings of the American Mathematical Society. 110(2). 343–343. 3 indexed citations
20.
Hofmann, Steve. (1988). Weak (1,1) boundedness of singular integrals with nonsmooth kernel. Proceedings of the American Mathematical Society. 103(1). 260–264. 24 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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