Research Profile

Spyridon Dendrinos

Biography

Research interests: Harmonic Analysis in particular generalised continuous and discrete Radon transforms, Fourier restriction, maximal functions, connections with Geometric Invariant Theory.

Research Grants

 ProjectFunding
Body
Start DateEnd DateAward
Problems in Euclidean harmonic analysis related to the geometry of curves and surfaces.Foreign Research Institute01-MAY-1430-SEP-16€51,095.00
HEACOVID1901-APR-2131-JUL-21€17,118.00
HEACOVID1901-APR-2131-JUL-21€5,500.00
Geometric Interpretations of Radon Transforms.Irish Research Council01-OCT-1930-SEP-21€93,831.00

Contract Researchers

 Researcher NameProjectRoleFunding Body
Dr. Marco VitturiGeometric Interpretations of Radon TransformsPostdoctoral ResearcherIrish Research Council
Dr. Eugen ZimmermannProblems in Euclidean harmonic analysis related to the geometry of curves and surfaces.Research AssistantOther: Not Listed

Publications

Peer Reviewed Journals

 YearPublication
(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

 YearPublication
(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

 YearPublication
(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

 CommitteeFunctionFrom / To
School of Mathematical Sciences Postgraduate Studies Member2022 /
SEFS Research and Innovation Member2020 /
School of Mathematical Sciences Research Member2016 /

Employment

 EmployerPositionFrom / To
University College Cork Lecturer01-JAN-14 /
University of Kiel Research Project Principal Investigator01-FEB-13 / 31-DEC-13
University of Helsinki Postdoctoral Researcher01-OCT-12 / 31-JAN-13
University of Jyväskylä Postdoctoral Researcher01-OCT-10 / 30-SEP-12
University of Glasgow Temporary Lecturer01-JAN-10 / 30-SEP-10
University of Bristol Temporary Lecturer01-JAN-07 / 31-DEC-09
Erwin Schrödinger Institute for Mathematical Physics Junior Research Fellow01-SEP-06 / 31-DEC-06
Scuola Normale Superiore di Pisa Postdoctoral Researcher01-SEP-05 / 31-JUL-06

Education

 YearInstitutionQualificationSubject
2005University of Edinburgh PhDMathematics
2001University of Cambridge Master of ScienceMathematics
2000University of Cambridge Bachelor of ArtsMathematics

Research Information

Internal Collaborators

 NameInstituteCountry
Dr. Andrei Mustata University College CorkIRELAND
Dr. Marco Vitturi University College CorkIRELAND

External Collaborators

 NameOrganisation / InstituteCountry
Prof. Detlef Müller University of KielGERMANY
Prof. Betsy Stovall University of Wisconsin-MadisonU.S.A.
Prof. James Wright University of EdinburghUNITED KINGDOM

Contact details

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