Georgios Dimitroglou Rizell
Senior Lecturer/Associate Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 70 167 98 27
- E-mail:
- georgios.dimitroglou@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA
Senior Lecturer/Associate Professor at Department of Mathematics; Centre for Geometry and Physics
- E-mail:
- georgios.dimitroglou@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA
Senior Lecturer/Associate Professor at Department of Mathematics; Geometry and Physics
- Telephone:
- +46 70 167 98 27
- E-mail:
- georgios.dimitroglou@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Regementsvägen 10
- Postal address:
- Box 524
751 20 UPPSALA
- CV:
- Download CV
- ORCID:
- 0000-0003-4765-4979
Short presentation
My research area is symplectic and contact topology and my goal is to understand and classify Lagrangian and Legendrian submanifolds. My main methods are pseudoholomorphic curves, pseudoholomorphic foliations, Symplectic Field Theory, and Floer theory. I am a Wallenberg Scholar (2023) and Wallenberg Academy fellow (prolonged 2022) with support by the Knut & Alice Wallenberg Foundation. I am head of the Mathematics Department since 2020.
Keywords
- symplectic geometry and topology
- contact geometry and topology
- lagrangian submanifolds
- legendrian submanifolds
- floer homology
- pseudoholomorphic curves
- symplectic field theory
Biography
- 2023 – 2028: Appointed as Wallenberg Scholar (KAW 2023.0294).
- 2023: Docent in mathematics at Uppsala University.
- 2021 – : Associate professor in mathematics, Uppsala University.
- 2022 – 2027: Appointed as Wallenberg Academy Fellows (prolongation) (KAW 2021.0191).
- 2022 – 2023: Appointed as Wallenberg Scholar (KAW 2021.0300).
- 2017 – 2021: Appoined as Wallenberg Academy Fellow (KAW 2016.0198).
- 2017 – 2021: Assistant professor in mathematics, Uppsala University.
- 2015 – 2017: Researcher at Uppsala University with a fellowship from the Knut & Alice Wallenberg Foundation.
- 2014 – 2015: Post doc. at University of Cambridge with a fellowship from the Knut & Alice Wallenberg Foundation hosted by Ivan Smith.
- 2013 – 2014: Post doc. at Université Paris-Sud hosted by Frédéric Bourgeois.
- 2012 – 2013: Post doc. at Université Libre de Bruxelles hosted by Frédéric Bourgeois.
- 2007 – 2012: Ph.D. studies at Uppsala University under the supervision of Tobias Ekholm. Thesis was defended on 13 September 2012.
Research
I am working in the research theme of Geometry and Physics at Uppsala University. Follow the link to find our seminars, thesis, degree projects, and other activities.
Notes
Slides from research talks and lectures are available in this folder.
Preprints
- Representations of the Chekanov-Eliashberg algebra from closed exact Lagrangians I. Baptiste Chantraine, Georgios Dimitroglou Rizell, & Paolo Ghiggini. arXiv:2508.20964 [math.SG]
- Rationally Convex Surfaces with hyperbolic complex tangencies. Georgios Dimitroglou Rizell & Mark G. Lawrence. arXiv:2502.03357 [math.SG]
- Instability of Legendrian knottedness, and non-regular Lagrangian concordances of knots. Georgios Dimitroglou Rizell & Roman Golovko. arXiv:2409.00290 [math.SG]
Media
Here you can find some selected slides from seminars and teaching related to my research.
Slides
Lecture notes from seminars and courses on symplectic topology:

Publications
Recent publications
-
On weakly exact Lagrangians in Liouville bi-fillings
Part of Journal of Fixed Point Theory and Applications, 2025
- DOI for On weakly exact Lagrangians in Liouville bi-fillings
- Download full text (pdf) of On weakly exact Lagrangians in Liouville bi-fillings
-
Lagrangian approximation of totally real concordances
Part of Proceedings of the London Mathematical Society, 2025
- DOI for Lagrangian approximation of totally real concordances
- Download full text (pdf) of Lagrangian approximation of totally real concordances
-
C0-limits of Legendrians and positive loops
Part of Compositio Mathematica, 2025
- DOI for C0-limits of Legendrians and positive loops
- Download full text (pdf) of C0-limits of Legendrians and positive loops
-
Part of Transactions of the American Mathematical Society Series B, p. 798-825, 2024
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Geometric Generation of the Wrapped Fukaya Category of Weinstein Manifolds and Sectors
Part of Annales Scientifiques de l'Ecole Normale Supérieure, p. 1-85, 2024
All publications
Articles in journal
-
On weakly exact Lagrangians in Liouville bi-fillings
Part of Journal of Fixed Point Theory and Applications, 2025
- DOI for On weakly exact Lagrangians in Liouville bi-fillings
- Download full text (pdf) of On weakly exact Lagrangians in Liouville bi-fillings
-
Lagrangian approximation of totally real concordances
Part of Proceedings of the London Mathematical Society, 2025
- DOI for Lagrangian approximation of totally real concordances
- Download full text (pdf) of Lagrangian approximation of totally real concordances
-
C0-limits of Legendrians and positive loops
Part of Compositio Mathematica, 2025
- DOI for C0-limits of Legendrians and positive loops
- Download full text (pdf) of C0-limits of Legendrians and positive loops
-
Part of Transactions of the American Mathematical Society Series B, p. 798-825, 2024
-
Geometric Generation of the Wrapped Fukaya Category of Weinstein Manifolds and Sectors
Part of Annales Scientifiques de l'Ecole Normale Supérieure, p. 1-85, 2024
-
Lagrangian Surplusection Phenomena
Part of Symmetry, Integrability and Geometry, 2024
-
The persistence of a relative Rabinowitz-Floer complex
Part of Geometry and Topology, p. 2145-2206, 2024
- DOI for The persistence of a relative Rabinowitz-Floer complex
- Download full text (pdf) of The persistence of a relative Rabinowitz-Floer complex
-
Exact Lagrangians in four-dimensional symplectisations
Part of Bulletin of the London Mathematical Society, p. 1511-1531, 2024
- DOI for Exact Lagrangians in four-dimensional symplectisations
- Download full text (pdf) of Exact Lagrangians in four-dimensional symplectisations
-
Legendrian submanifolds from Bohr-Sommerfeld covers of monotone Lagrangian tori
Part of Communications in analysis and geometry, p. 905-978, 2023
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Symplectic rigidity of fibers in cotangent bundles of open Riemann surfaces
Part of Mathematische Annalen, p. 1717-1751, 2023
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Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds
Part of International mathematics research notices, p. 6347-6401, 2022
-
Families of Legendrians and Lagrangians with unbounded spectral norm
Part of Journal of Fixed Point Theory and Applications, 2022
- DOI for Families of Legendrians and Lagrangians with unbounded spectral norm
- Download full text (pdf) of Families of Legendrians and Lagrangians with unbounded spectral norm
-
Refined disk potentials for immersed lagrangian surfaces
Part of Journal of differential geometry, p. 459-539, 2022
-
On Legendrian products and twist spuns
Part of Algebraic and Geometric Topology, p. 665-695, 2021
-
The persistence of the Chekanov-Eliashberg algebra
Part of Selecta Mathematica, New Series, 2020
- DOI for The persistence of the Chekanov-Eliashberg algebra
- Download full text (pdf) of The persistence of the Chekanov-Eliashberg algebra
-
An Energy-Capacity inequality for Legendrian submanifolds
Part of Journal of Topology and Analysis (JTA), p. 547-623, 2020
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Floer theory for Lagrangian cobordisms
Part of Journal of differential geometry, p. 393-465, 2020
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The classification of Lagrangians nearby the Whitney immersion
Part of Geometry and Topology, p. 3367-3458, 2019
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Positive Legendrian Isotopies And Floer Theory
Part of Annales de l'Institut Fourier, p. 1679-1737, 2019
- DOI for Positive Legendrian Isotopies And Floer Theory
- Download full text (pdf) of Positive Legendrian Isotopies And Floer Theory
-
The stable Morse number as a lower bound for the number of Reeb chords
Part of The Journal of Symplectic Geometry, p. 1209-1248, 2018
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Nontriviality results for the characteristic algebra of a DGA
Part of Mathematical proceedings of the Cambridge Philosophical Society (Print), p. 419-433, 2017
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Lagrangian isotopy of tori in $S^2\times S^2$ and $\BbbCP^2$
Part of Geometric and Functional Analysis, p. 1297-1358, 2016
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Legendrian ambient surgery and Legendrian contact homology
Part of The Journal of Symplectic Geometry, p. 811-901, 2016
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Estimating the number of Reeb chords using a linear representation of the characteristic algebra
Part of Algebraic and Geometric Topology, p. 2887-2920, 2015
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Exotic spheres and the topology of symplectomorphism groups
Part of Journal of Topology, p. 586-602, 2015
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Exact Lagrangian caps and non-uniruled Lagrangian submanifolds
Part of Arkiv för matematik, p. 37-64, 2015
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Unlinking and unknottedness of monotone Lagrangian submanifolds
Part of Geometry and Topology, p. 997-1034, 2014
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On homological rigidity and flexibility of exact Lagrangian endocobordisms
Part of International Journal of Mathematics, p. 1450098-24, 2014
Conference papers
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Uniqueness of extremal Lagrangian tori in the four-dimensional disc
Part of Proceedings of the Gökova Geometry-Topology Conference 2015, p. 151-167, 2016
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Noncommutative augmentation categories
Part of Proceedings of the Gökova Geometry-Topology Conference 2015, p. 116-150, 2016
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Floer homology and Lagrangian concordance
Part of Proceedings of the Gökova Geometry-Topology Conference 2014, p. 76-113, 2015