Biography
Research interests: Harmonic Analysis in particular generalised continuous and discrete Radon transforms, Fourier restriction, maximal functions, connections with Geometric Invariant Theory.Research Grants
| Project | Funding Body | Start Date | End Date | Award | |
|---|---|---|---|---|---|
| Problems in Euclidean harmonic analysis related to the geometry of curves and surfaces. | Foreign Research Institute | 01-MAY-14 | 30-SEP-16 | €51,095.00 | |
| HEACOVID19 | 01-APR-21 | 31-JUL-21 | €17,118.00 | ||
| HEACOVID19 | 01-APR-21 | 31-JUL-21 | €5,500.00 | ||
| Geometric Interpretations of Radon Transforms. | Irish Research Council | 01-OCT-19 | 30-SEP-21 | €93,831.00 |
Contract Researchers
| Researcher Name | Project | Role | Funding Body | |
|---|---|---|---|---|
| Dr. Marco Vitturi | Geometric Interpretations of Radon Transforms | Postdoctoral Researcher | Irish Research Council | |
| Dr. Eugen Zimmermann | Problems in Euclidean harmonic analysis related to the geometry of curves and surfaces. | Research Assistant | Other: Not Listed |
Publications
Peer Reviewed Journals
| Year | Publication | |
|---|---|---|
| (2022) | 'Some subcritical estimates for the l_p-improving problem for discrete curves' Dendrinos, S; Hughes, K; Vitturi, M (2022) 'Some subcritical estimates for the l_p-improving problem for discrete curves'. Journal of Fourier Analysis and Applications, 28:69 [DOI] [Details] | |
| (2020) | 'Endpoint Lebesgue estimates for weighted averages on polynomial curves' Christ, M; Dendrinos, S; Stovall, B; Street, B (2020) 'Endpoint Lebesgue estimates for weighted averages on polynomial curves'. American Journal of Mathematics, 142 (6):1661-1731 [DOI] [Details] | |
| (2019) | 'On Lp-improving for averages associated to mixed homogeneous polynomial hypersurfaces in R3' Dendrinos, S; Zimmermann, E (2019) 'On Lp-improving for averages associated to mixed homogeneous polynomial hypersurfaces in R3'. Journal D Analyse Mathematique, 138 (2):563-595 [DOI] [Details] | |
| (2019) | 'Estimates for maximal functions associated to hypersurfaces in ℝ³ with height h < 2: Part I' Buschenhenke, S; Dendrinos, S; Ikromov, I; Müller, D (2019) 'Estimates for maximal functions associated to hypersurfaces in ℝ³ with height h < 2: Part I'. Transactions of The American Mathematical Society, 372 (2):1363-1406 [DOI] [Full Text] [Details] | |
| (2015) | 'Uniform bounds for convolution and restricted X-ray transforms along degenerate curves' Dendrinos S., Stovall B. (2015) 'Uniform bounds for convolution and restricted X-ray transforms along degenerate curves'. Journal of Functional Analysis, 268 (3):585-633 [DOI] [Details] | |
| (2013) | 'Uniform estimates for the local restriction of the Fourier transform to curves' Dendrinos S., Müller D. (2013) 'Uniform estimates for the local restriction of the Fourier transform to curves'. Transactions of The American Mathematical Society, 365 (7):3477-3492 [DOI] [Details] | |
| (2012) | 'Uniform estimates for the X-ray transform restricted to polynomial curves' Dendrinos S., Stovall B. (2012) 'Uniform estimates for the X-ray transform restricted to polynomial curves'. Journal of Functional Analysis, 262 (12):4986-5020 [DOI] [Details] | |
| (2010) | 'An affine invariant inequality for rational functions and applications in harmonic analysis' Dendrinos S., Folch-Gabayet M., Wright J., (2010) 'An affine invariant inequality for rational functions and applications in harmonic analysis'. Proceedings of the Edinburgh Mathematical Society, 53 (3):639-655 [DOI] [Details] | |
| (2010) | 'Fourier restriction to polynomial curves I: a geometric inequality' Dendrinos S., Wright J. (2010) 'Fourier restriction to polynomial curves I: a geometric inequality'. American Journal of Mathematics, 132 (4):1031-1076 [DOI] [Details] | |
| (2009) | 'Universal L^p improving for averages along polynomial curves in low dimensions' Dendrinos S., Laghi N., Wright J. (2009) 'Universal L^p improving for averages along polynomial curves in low dimensions'. Journal of Functional Analysis, 257 (5):1355-1378 [DOI] [Details] | |
| (2008) | 'Fourier restriction, polynomial curves and a geometric inequality' Dendrinos S., Wright J. (2008) 'Fourier restriction, polynomial curves and a geometric inequality'. Comptes Rendus Math. Académie Des Sciences Paris, 346 (1-2):45-48 [DOI] [Details] | |
| (2007) | 'Fourier restriction of H^1 functions on polynomial surfaces' Dendrinos S. (2007) 'Fourier restriction of H^1 functions on polynomial surfaces'. Journal of Fourier Analysis and Applications, 13 (5):623-641 [DOI] [Details] |
Conference Publications
| Year | Publication | |
|---|---|---|
| (2007) | Complex and Harmonic Analysis Dendrinos S. (2007) On the restriction of the Fourier transform to polynomial curves Complex and Harmonic Analysis Thessaloniki, , 25-MAY-06 - 27-MAY-06 , pp.273-294 [Details] |
Articles
| Year | Publication | |
|---|---|---|
| (2022) | A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2. Dendrinos, S; Mustata, A; Vitturi, M (2022) A restricted 2-plane transform related to Fourier restriction for surfaces of codimension 2. Articles [DOI] [Details] |
Professional Activities
Committees
| Committee | Function | From / To | |
|---|---|---|---|
| School of Mathematical Sciences Postgraduate Studies | Member | 2022 / | |
| SEFS Research and Innovation | Member | 2020 / | |
| School of Mathematical Sciences Research | Member | 2016 / |
Employment
| Employer | Position | From / To | |
|---|---|---|---|
| University College Cork | Senior Lecturer | 01-SEP-24 / | |
| University College Cork | Lecturer | 01-JAN-14 / 31-AUG-24 | |
| University of Kiel | Research Project Principal Investigator | 01-FEB-13 / 31-DEC-13 | |
| University of Helsinki | Postdoctoral Researcher | 01-OCT-12 / 31-JAN-13 | |
| University of Jyväskylä | Postdoctoral Researcher | 01-OCT-10 / 30-SEP-12 | |
| University of Glasgow | Temporary Lecturer | 01-JAN-10 / 30-SEP-10 | |
| University of Bristol | Temporary Lecturer | 01-JAN-07 / 31-DEC-09 | |
| Erwin Schrödinger Institute for Mathematical Physics | Junior Research Fellow | 01-SEP-06 / 31-DEC-06 | |
| Scuola Normale Superiore di Pisa | Postdoctoral Researcher | 01-SEP-05 / 31-JUL-06 |
Education
| Year | Institution | Qualification | Subject | |
|---|---|---|---|---|
| 2005 | University of Edinburgh | PhD | Mathematics | |
| 2001 | University of Cambridge | Master of Science | Mathematics | |
| 2000 | University of Cambridge | Bachelor of Arts | Mathematics |
Research Information
Internal Collaborators
| Name | Institute | Country | |
|---|---|---|---|
| Dr. Andrei Mustata | University College Cork | IRELAND | |
| Dr. Marco Vitturi | University College Cork | IRELAND |
External Collaborators
| Name | Organisation / Institute | Country | |
|---|---|---|---|
| Prof. Detlef Müller | University of Kiel | GERMANY | |
| Prof. Betsy Stovall | University of Wisconsin-Madison | U.S.A. | |
| Prof. James Wright | University of Edinburgh | UNITED KINGDOM |