Georgios Dimitroglou Rizell
Senior Lecturer/Associate Professor at Department of Mathematics; Geometry and Physics
- Telephone:
- +46 18 471 32 25, +46 70 167 98 27
- E-mail:
- georgios.dimitroglou@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Senior Lecturer/Associate Professor at Department of Mathematics; Centre for Geometry and Physics
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
Senior Lecturer/Associate Professor at Department of Mathematics; Academic staff
- Telephone:
- +46 70 167 98 27, +46 18 471 32 25
- E-mail:
- georgios.dimitroglou@math.uu.se
- Visiting address:
- Ångströmlaboratoriet, Lägerhyddsvägen 1
- Postal address:
- Box 480
751 06 UPPSALA
- CV:
- Download CV
- ORCID:
- 0000-0003-4765-4979
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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
- contact geometry and topology
- floer homology
- lagrangian submanifolds
- legendrian submanifolds
- pseudoholomorphic curves
- symplectic field theory
- symplectic geometry and topology
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
You can find slides from research talks and lectures on my box page.
Preprints
- C0-limits of Legendrian knots and contact non-squeezing, with M. G. Sullvan.
- The persistence of a relative Rabinowitz-Floer complex, with M. G. Sullvan.
- Symplectic Rigidity of Fibers in Cotangent Bundles of Riemann Surfaces, with L. Côté.
To appear in Math. Ann. (Available online) - Geometric generation of the wrapped Fukaya category of Weinstein manifolds and sectors, with B. Chantraine, P. Ghiggini, & R. Golovko.
To appear in Ann. Sci. Éc. Norm. Supér. - Legendrian submanifolds from Bohr–Sommerfeld covers of monotone Lagrangian tori, with R. Golovko
To appear in Comm. Anal. Geom. - Refined disk potentials for immersed Lagrangian surfaces, with T. Ekholm and D. Tonkonog
To appear in J. Differ. Geom.
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.
https://uppsala.box.com/s/kfh1abury8i9ip3ziz8v8tzyairwg32u
Publications
Recent publications
- Exact Lagrangians in four-dimensional symplectisations (2024)
- The persistence of a relative Rabinowitz-Floer complex (2024)
- Symplectic rigidity of fibers in cotangent bundles of open Riemann surfaces (2023)
- Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds (2022)
- Families of Legendrians and Lagrangians with unbounded spectral norm (2022)
All publications
Articles
- Exact Lagrangians in four-dimensional symplectisations (2024)
- The persistence of a relative Rabinowitz-Floer complex (2024)
- Symplectic rigidity of fibers in cotangent bundles of open Riemann surfaces (2023)
- Linking of Lagrangian Tori and Embedding Obstructions in Symplectic 4-Manifolds (2022)
- Families of Legendrians and Lagrangians with unbounded spectral norm (2022)
- Refined disk potentials for immersed lagrangian surfaces (2022)
- On Legendrian products and twist spuns (2021)
- Floer theory for Lagrangian cobordisms (2020)
- An Energy-Capacity inequality for Legendrian submanifolds (2020)
- The persistence of the Chekanov-Eliashberg algebra (2020)
- Positive Legendrian Isotopies And Floer Theory (2019)
- The classification of Lagrangians nearby the Whitney immersion (2019)
- The stable Morse number as a lower bound for the number of Reeb chords (2018)
- Nontriviality results for the characteristic algebra of a DGA (2017)
- Legendrian ambient surgery and Legendrian contact homology (2016)
- Lagrangian isotopy of tori in $S^2\times S^2$ and $\BbbCP^2$ (2016)
- Exact Lagrangian caps and non-uniruled Lagrangian submanifolds (2015)
- Exotic spheres and the topology of symplectomorphism groups (2015)
- Estimating the number of Reeb chords using a linear representation of the characteristic algebra (2015)
- Unlinking and unknottedness of monotone Lagrangian submanifolds (2014)
- On homological rigidity and flexibility of exact Lagrangian endocobordisms (2014)