Tuomas Orponen

Mathematical Physics · 2013–2023

A researcher in the Science corpus: 5 papers; trusts 11 researchers and is trusted by 11 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 15 citations into it; #1,156 of 8,562 by trust here, #3,828 by citations
• Geometry and Topology — 10 citations into it; #2,138 of 7,422 by trust here, #4,709 by citations
• Discrete Mathematics and Combinatorics — 8 citations into it; #455 of 2,017 by trust here, #1,251 by citations
• Applied Mathematics — 7 citations into it; #1,720 of 7,620 by trust here, #5,443 by citations
• Computational Theory and Mathematics — 6 citations into it

Whom Tuomas Orponen trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Jean Bourgain
2. Yuval Peres
3. Nets Hawk Katz
4. Larry Guth
5. Michael Hochman
6. Wilhelm Schlag
7. Terence Tao
8. Pablo Shmerkin
9. P. Mattila
10. Tamás Keleti

Who trusts Tuomas Orponen overall

1. Larry Guth
2. Tamás Keleti
3. Hong Wang
4. Noam Solomon
5. Pablo Shmerkin
6. Xiumin Du
7. Jonathan M. Fraser
8. Alex Iosevich
9. Yumeng Ou
10. Ruixiang Zhang

Papers from Tuomas Orponen's perspective

Ordered by how strongly the researchers Tuomas Orponen trusts endorse each paper. Same corpus, a different order for every researcher.

1. The discretized sum-product and projection theorems
2. Some Connections between Falconer's Distance Set Conjecture and Sets of Furstenburg Type
3. A short proof of the multilinear Kakeya inequality (Mathematical Proceedings of the Cambridge Philosophical Society)
4. On the Erdős-Volkmann and Katz-Tao ring conjectures
5. On the Erdos distinct distance problem in the plane
6. Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
7. New Bounds on the Dimensions of Planar Distance Sets (Geometric and Functional Analysis)
8. Intersections of Cantor Sets and Transversality of Semigroups
9. Incidence Estimates for Well Spaced Tubes (Geometric and Functional Analysis)
10. Recent work connected with the Kakeya problem

Their papers

• Projections, Furstenberg sets, and the $ABC$ sum-product problem (2023) — 52 citations
• On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane (2021) — 56 citations
• On the dimension and smoothness of radial projections (2017) — 55 citations
• On the distance sets of Ahlfors–David regular sets (2015) — 49 citations
• On restricted families of projections in ℝ3 (2013) — 82 citations