Tuomas Orponen

592 total citations
41 papers, 195 citations indexed

About

Tuomas Orponen is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Tuomas Orponen has authored 41 papers receiving a total of 195 indexed citations (citations by other indexed papers that have themselves been cited), including 32 papers in Mathematical Physics, 19 papers in Geometry and Topology and 19 papers in Applied Mathematics. Recurrent topics in Tuomas Orponen's work include Mathematical Dynamics and Fractals (26 papers), Advanced Topology and Set Theory (15 papers) and Geometric Analysis and Curvature Flows (7 papers). Tuomas Orponen is often cited by papers focused on Mathematical Dynamics and Fractals (26 papers), Advanced Topology and Set Theory (15 papers) and Geometric Analysis and Curvature Flows (7 papers). Tuomas Orponen collaborates with scholars based in Finland, United States and Switzerland. Tuomas Orponen's co-authors include Pablo Shmerkin, Henri Martikainen, María Carmen Reguera, Séverine Rigot, Michael T. Lacey, Jonathan M. Fraser, Ignacio Uriarte-Tuero, Eric T. Sawyer, Tuomas Hytönen and Antti Käenmäki and has published in prestigious journals such as Transactions of the American Mathematical Society, Inventiones mathematicae and Advances in Mathematics.

In The Last Decade

Tuomas Orponen

32 papers receiving 183 citations

Peers — A (Enhanced Table)

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

Name	h						Papers	Cites
Tuomas Orponen Finland	9	142	103	69	29	28	41	195
Alexander Reznikov United States	9	129 0.9×	85 0.8×	111 1.6×	27 0.9×	27 1.0×	32	219
Yuri Brudnyi Israel	9	132 0.9×	153 1.5×	75 1.1×	71 2.4×	14 0.5×	16	235
José L. Ansorena Spain	10	202 1.4×	180 1.7×	64 0.9×	48 1.7×	32 1.1×	51	263
Guy C. David United States	8	135 1.0×	252 2.4×	91 1.3×	87 3.0×	17 0.6×	19	298
Ciprian Demeter United States	9	131 0.9×	190 1.8×	50 0.7×	12 0.4×	53 1.9×	30	276
Szilárd Gy. Révész Hungary	9	91 0.6×	165 1.6×	76 1.1×	45 1.6×	54 1.9×	44	233
Nir Lev Israel	9	115 0.8×	126 1.2×	27 0.4×	37 1.3×	10 0.4×	22	187
Ákos Magyar United States	9	80 0.6×	118 1.1×	55 0.8×	26 0.9×	46 1.6×	26	206
Hervé Pajot France	6	104 0.7×	165 1.6×	128 1.9×	32 1.1×	3 0.1×	10	221
Piotr Mankiewicz Poland	9	203 1.4×	177 1.7×	83 1.2×	46 1.6×	12 0.4×	29	265

Countries citing papers authored by Tuomas Orponen

Since Specialization

Citations

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

Fields of papers citing papers by Tuomas Orponen

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Tuomas Orponen

This figure shows the co-authorship network connecting the top 25 collaborators of Tuomas Orponen. A scholar is included among the top collaborators of Tuomas Orponen 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 Tuomas Orponen. Tuomas Orponen is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

Sort: Min cites: Since: Top N: Style:

20 of 20 papers shown

Käenmäki, Antti, et al.. (2025). A Marstrand-type restricted projection theorem in ℝ3. American Journal of Mathematics. 147(1). 81–123.

Orponen, Tuomas, et al.. (2025). On Fourier transforms of fractal measures on the parabola. Transactions of the American Mathematical Society. 378(10). 7429–7450.

Orponen, Tuomas. (2024). On the Hausdorff dimension of radial slices. Jyväskylä University Digital Archive (University of Jyväskylä). 49(1).

Orponen, Tuomas, et al.. (2024). How much can heavy lines cover?. Journal of the London Mathematical Society. 109(5).

Chang, Alan L., et al.. (2024). Structure of sets with nearly maximal Favard length. Analysis & PDE. 17(4). 1473–1500.

Orponen, Tuomas, et al.. (2023). A note on Kakeya sets of horizontal and SL(2)$SL(2)$ lines. Bulletin of the London Mathematical Society. 55(5). 2195–2204. 1 indexed citations

Orponen, Tuomas. (2023). On the discretised 𝐴𝐵𝐶 sum-product problem. Transactions of the American Mathematical Society. 377(7). 4647–4702. 1 indexed citations

Orponen, Tuomas, Pablo Shmerkin, & Hong Wang. (2023). Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory. Oberwolfach Reports. 20(2). 1397–1452.

Orponen, Tuomas. (2023). Additive properties of fractal sets on the parabola. Jyväskylä University Digital Archive (University of Jyväskylä). 48(1). 113–139. 2 indexed citations

10.

Orponen, Tuomas. (2022). On the dimension of visible parts. Journal of the European Mathematical Society. 25(5). 1969–1983.

11.

Orponen, Tuomas. (2021). Plenty of big projections imply big pieces of Lipschitz graphs. Inventiones mathematicae. 226(2). 653–709. 1 indexed citations

12.

Orponen, Tuomas, et al.. (2019). Metric currents and the Poincaré inequality. Calculus of Variations and Partial Differential Equations. 58(2). 2 indexed citations

13.

Orponen, Tuomas, et al.. (2018). Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group. arXiv (Cornell University). 8 indexed citations

14.

Martikainen, Henri & Tuomas Orponen. (2018). Characterising the big pieces of Lipschitz graphs property using projections. Journal of the European Mathematical Society. 20(5). 1055–1073. 2 indexed citations

15.

Orponen, Tuomas. (2016). Projections of planar sets in well-separated directions. Advances in Mathematics. 297. 1–25. 2 indexed citations

16.

Orponen, Tuomas. (2016). On the distance sets of Ahlfors–David regular sets. Advances in Mathematics. 307. 1029–1045. 13 indexed citations

17.

Orponen, Tuomas. (2015). On the packing measure of slices of self-similar sets. arXiv (Cornell University). 2(4). 389–401. 2 indexed citations

18.

Orponen, Tuomas. (2015). Hausdorff dimension estimates for restricted families of projections in R3. Advances in Mathematics. 275. 147–183. 3 indexed citations

19.

Martikainen, Henri & Tuomas Orponen. (2015). Some obstacles in characterising the boundedness of bi-parameter singular integrals. Mathematische Zeitschrift. 282(1-2). 535–545. 4 indexed citations

20.

Orponen, Tuomas, et al.. (2013). Constancy results for special families of projections. Mathematical Proceedings of the Cambridge Philosophical Society. 154(3). 549–568. 3 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