Tuomas Orponen

Tuomas Orponen

Jyväskylän yliopisto

H-index: 20

Europe-Finland

About Tuomas Orponen

Tuomas Orponen, With an exceptional h-index of 20 and a recent h-index of 14 (since 2020), a distinguished researcher at Jyväskylän yliopisto, specializes in the field of Geometric measure theory, Harmonic analysis, Fractal geometry.

His recent articles reflect a diverse array of research interests and contributions to the field:

How much can heavy lines cover?

On Fourier transforms of fractal measures on the parabola

Large cliques in extremal incidence configurations

Kaufman and Falconer estimates for radial projections and a continuum version of Beck’s theorem

On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane

Sub-elliptic boundary value problems in flag domains

On the Hausdorff dimension of circular Furstenberg sets

Riesz transform and vertical oscillation in the Heisenberg group

Tuomas Orponen Information

University

Position

___

Citations(all)

927

Citations(since 2020)

644

Cited By

511

hIndex(all)

20

hIndex(since 2020)

14

i10Index(all)

26

i10Index(since 2020)

24

Email

University Profile Page

Jyväskylän yliopisto

Google Scholar

View Google Scholar Profile

Tuomas Orponen Skills & Research Interests

Geometric measure theory

Harmonic analysis

Fractal geometry

Top articles of Tuomas Orponen

Title

Journal

Author(s)

Publication Date

How much can heavy lines cover?

arXiv preprint arXiv:2310.11219

Damian Dąbrowski

Tuomas Orponen

Hong Wang

2023/10/17

On Fourier transforms of fractal measures on the parabola

arXiv preprint arXiv:2401.17867

Tuomas Orponen

Carmelo Puliatti

Aleksi Pyörälä

2024/1/31

Large cliques in extremal incidence configurations

arXiv preprint arXiv:2402.12104

Tuomas Orponen

Guangzeng Yi

2024/2/19

Kaufman and Falconer estimates for radial projections and a continuum version of Beck’s theorem

Geometric and Functional Analysis

Tuomas Orponen

Pablo Shmerkin

Hong Wang

2024/2/5

On the Hausdorff dimension of Furstenberg sets and orthogonal projections in the plane

Duke Mathematical Journal

Tuomas Orponen

Pablo Shmerkin

2023/12/1

Sub-elliptic boundary value problems in flag domains

Advances in Calculus of Variations

Tuomas Orponen

Michele Villa

2023/10/1

On the Hausdorff dimension of circular Furstenberg sets

arXiv preprint arXiv:2305.11587

Katrin Fässler

Jiayin Liu

Tuomas Orponen

2023/5/19

Riesz transform and vertical oscillation in the Heisenberg group

Analysis & PDE

Katrin Fässler

Tuomas Orponen

2023/5/3

On the Hausdorff dimension of radial slices

arXiv preprint arXiv:2311.14481

Tuomas Orponen

2023/11/24

On the Fourier decay of multiplicative convolutions

arXiv preprint arXiv:2309.03068

Tuomas Orponen

Nicolas de Saxcé

Pablo Shmerkin

2023/9/6

Incidence Problems in Harmonic Analysis, Geometric Measure Theory, and Ergodic Theory

Oberwolfach Reports

Tuomas Orponen

Pablo Shmerkin

Hong Wang

2023/12/21

Vertical projections in the Heisenberg group via cinematic functions and point-plate incidences

Advances in Mathematics

Katrin Fässler

Tuomas Orponen

2023/10/15

On a Continuous Sárközy-Type Problem

International Mathematics Research Notices

Borys Kuca

Tuomas Orponen

Tuomas Sahlsten

2023/7

A note on Kakeya sets of horizontal and SL (2) SL(2) lines

Bulletin of the London Mathematical Society

Katrin Fässler

Tuomas Orponen

2023/10

On arithmetic sums of Ahlfors-regular sets

Geometric and Functional Analysis

Tuomas Orponen

2022/1/5

Integrability of orthogonal projections, and applications to Furstenberg sets

Advances in Mathematics

Damian Dąbrowski

Tuomas Orponen

Michele Villa

2022/10/8

On exceptional sets of radial projections

arXiv preprint arXiv:2205.13890

Tuomas Orponen

Pablo Shmerkin

2022/5/27

Hausdorff dimension bounds for the ABC sum-product problem

arXiv preprint arXiv:2201.00564

Tuomas Orponen

2022/1/3

Additive properties of fractal sets on the parabola

arXiv preprint arXiv:2205.02770

Tuomas Orponen

2022/5/5

On the dimension of visible parts

arXiv preprint arXiv:1912.10898

Tuomas Orponen

2019/12/23

See List of Professors in Tuomas Orponen University(Jyväskylän yliopisto)

Co-Authors

H-index: 36
michael lacey

michael lacey

Georgia Institute of Technology

H-index: 21
Jonathan Fraser

Jonathan Fraser

University of St Andrews

H-index: 20
Antti Käenmäki

Antti Käenmäki

Oulun yliopisto

H-index: 16
Henri Martikainen

Henri Martikainen

Helsingin yliopisto

H-index: 16
Mihalis Mourgoglou

Mihalis Mourgoglou

Universidad del País Vasco

H-index: 13
Katrin Fässler

Katrin Fässler

Jyväskylän yliopisto

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