Piotr Hajłasz

3.6k total citations · 2 hit papers
65 papers, 2.1k citations indexed

About

Piotr Hajłasz is a scholar working on Applied Mathematics, Geometry and Topology and Mathematical Physics. According to data from OpenAlex, Piotr Hajłasz has authored 65 papers receiving a total of 2.1k indexed citations (citations by other indexed papers that have themselves been cited), including 52 papers in Applied Mathematics, 34 papers in Geometry and Topology and 22 papers in Mathematical Physics. Recurrent topics in Piotr Hajłasz's work include Nonlinear Partial Differential Equations (30 papers), Geometric Analysis and Curvature Flows (25 papers) and Analytic and geometric function theory (22 papers). Piotr Hajłasz is often cited by papers focused on Nonlinear Partial Differential Equations (30 papers), Geometric Analysis and Curvature Flows (25 papers) and Analytic and geometric function theory (22 papers). Piotr Hajłasz collaborates with scholars based in United States, Poland and Finland. Piotr Hajłasz's co-authors include Pekka Koskela, Bogdan Bojarski, Jani Onninen, Олли Мартио, Heli Tuominen, Juha Kinnunen, Bruno Franchi, Jan Malý, Paweł Strzelecki and Jeremy T. Tyson and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Mathematical Analysis and Applications and Inventiones mathematicae.

In The Last Decade

Piotr Hajłasz

60 papers receiving 1.8k citations

Hit Papers

Sobolev met Poincaré 1996 2026 2006 2016 2000 1996 100 200 300 400 500
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. Sobolev met Poincaré
    2000 584 citations Piotr Hajłasz, Pekka Koskela profile →
  2. Sobolev spaces on an arbitrary metric space
    1996 391 citations Piotr Hajłasz profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Piotr Hajłasz United States 17 1.9k 633 601 545 85 65 2.1k
Alexander Nagel United States 23 1.8k 0.9× 430 0.7× 807 1.3× 280 0.5× 61 0.7× 57 2.0k
Nageswari Shanmugalingam United States 22 2.1k 1.1× 1.0k 1.6× 527 0.9× 564 1.0× 27 0.3× 84 2.2k
Lawrence Zalcman Israel 21 1.4k 0.7× 897 1.4× 340 0.6× 120 0.2× 24 0.3× 82 1.6k
Eric T. Sawyer Canada 27 2.5k 1.3× 238 0.4× 1.2k 2.0× 253 0.5× 190 2.2× 93 2.6k
Lars Inge Hedberg Sweden 12 1.5k 0.8× 202 0.3× 745 1.2× 566 1.0× 157 1.8× 20 1.7k
Jeremy T. Tyson United States 18 1.1k 0.6× 717 1.1× 460 0.8× 251 0.5× 18 0.2× 56 1.3k
Alberto Fıorenza Italy 20 2.5k 1.3× 121 0.2× 1.4k 2.3× 434 0.8× 220 2.6× 90 2.6k
Bruce Kleiner United States 22 805 0.4× 1.1k 1.8× 733 1.2× 199 0.4× 14 0.2× 62 1.4k
Gennadi M. Henkin France 18 716 0.4× 432 0.7× 360 0.6× 147 0.3× 29 0.3× 48 963
Frank Duzaar Germany 29 2.3k 1.2× 173 0.3× 1.1k 1.8× 1.8k 3.3× 65 0.8× 95 2.4k

Countries citing papers authored by Piotr Hajłasz

Since Specialization
Citations

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

Fields of papers citing papers by Piotr Hajłasz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Piotr Hajłasz

This figure shows the co-authorship network connecting the top 25 collaborators of Piotr Hajłasz. A scholar is included among the top collaborators of Piotr Hajłasz 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 Piotr Hajłasz. Piotr Hajłasz 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.
Azagra, Daniel, et al.. (2024). $\mathbf{C^{2}}$-Lusin approximation of strongly convex functions. Inventiones mathematicae. 236(3). 1055–1082.
2.
Hajłasz, Piotr, et al.. (2024). Constructing diffeomorphisms and homeomorphisms with prescribed derivative. Advances in Mathematics. 460. 110020–110020.
3.
Hajłasz, Piotr, et al.. (2016). 3 LIPSCHITZ HOMOTOPY AND DENSITY OF LIPSCHITZ MAPPINGS IN SOBOLEV SPACES. 4 indexed citations
4.
Hajłasz, Piotr & Scott Zimmerman. (2015). Geodesics in the Heisenberg Group. SHILAP Revista de lepidopterología. 5 indexed citations
5.
Hajłasz, Piotr, et al.. (2014). On the lack of density of Lipschitz mappings in Sobolev spaces with Heisenberg target. Conformal Geometry and Dynamics of the American Mathematical Society. 18(8). 119–156. 9 indexed citations
6.
Hajłasz, Piotr & Zhuomin Liu. (2014). Maximal potentials, maximal singular integrals, and the spherical maximal function. Proceedings of the American Mathematical Society. 142(11). 3965–3974. 4 indexed citations
7.
Hajłasz, Piotr. (2013). 1 SOBOLEV MAPPINGS: LIPSCHITZ DENSITY IS NOT AN ISOMETRIC INVARIANT OF THE TARGET. 3 indexed citations
8.
Hajłasz, Piotr & Jan Malý. (2010). On approximate differentiability of the maximal function. Proceedings of the American Mathematical Society. 138(1). 165–174. 32 indexed citations
9.
Hajłasz, Piotr, Pekka Koskela, & Heli Tuominen. (2008). Sobolev embeddings, extensions and measure density condition. Journal of Functional Analysis. 254(5). 1217–1234. 84 indexed citations
10.
Hajłasz, Piotr. (2007). Sobolev Mappings: Lipschitz Density is not a Bi-Lipschitz Invariant of the Target. Geometric and Functional Analysis. 17(2). 435–467. 8 indexed citations
11.
Hajłasz, Piotr & Jani Onninen. (2004). ON BOUNDEDNESS OF MAXIMAL FUNCTIONS IN SOBOLEV SPACES. Annales Academiae Scientiarum Fennicae Mathematica. 29(1). 167–176. 70 indexed citations
12.
Hajłasz, Piotr. (2003). Whitney’s example by way of Assouad’s embedding. Proceedings of the American Mathematical Society. 131(11). 3463–3467. 7 indexed citations
13.
Franchi, Bruno & Piotr Hajłasz. (2000). How to get rid of one of the weights in a two-weight Poincaré inequality?. Annales Polonici Mathematici. 74. 97–103. 6 indexed citations
14.
Hajłasz, Piotr. (1999). Pointwise Hardy inequalities. Proceedings of the American Mathematical Society. 127(2). 417–423. 44 indexed citations
15.
Hajłasz, Piotr & Pekka Koskela. (1998). Isoperimetric Inequalities and Imbedding Theorems in Irregular Domains. Journal of the London Mathematical Society. 58(2). 425–450. 56 indexed citations
16.
Hajłasz, Piotr & Paweł Strzelecki. (1998). Subelliptic p -harmonic maps into spheres and the ghost of Hardy spaces. Mathematische Annalen. 312(2). 341–362. 22 indexed citations
17.
Hajłasz, Piotr & Олли Мартио. (1997). Traces of Sobolev Functions on Fractal Type Sets and Characterization of Extension Domains. Journal of Functional Analysis. 143(1). 221–246. 78 indexed citations
18.
Hajłasz, Piotr & Agnieszka Kałamajska. (1995). Polynomial asymptotics and approximation of Sobolev functions. Studia Mathematica. 113(1). 55–64. 7 indexed citations
19.
Hajłasz, Piotr. (1994). Approximation of sobolev mappings. Nonlinear Analysis. 22(12). 1579–1591. 29 indexed citations
20.
Bojarski, Bogdan & Piotr Hajłasz. (1993). Pointwise inequalities for Sobolev functions and some applications. Studia Mathematica. 106(1). 77–92. 87 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.

Explore authors with similar magnitude of impact

Breakdown of academic impact, for papers by Alexander Nagel Breakdown of academic impact, for papers by Nageswari Shanmugalingam Breakdown of academic impact, for papers by Lawrence Zalcman Breakdown of academic impact, for papers by Eric T. Sawyer Breakdown of academic impact, for papers by Lars Inge Hedberg Breakdown of academic impact, for papers by Jeremy T. Tyson Breakdown of academic impact, for papers by Alberto Fıorenza Breakdown of academic impact, for papers by Bruce Kleiner Breakdown of academic impact, for papers by Gennadi M. Henkin Breakdown of academic impact, for papers by Frank Duzaar
Rankless by CCL
2026