Research output per year
Research output per year
Personal profile
Research interests
- Knot Theory: Vassiliev invariants, Heegaard Floer and Khovanov homologies.
- Symplectic geometry and low-dimensional topology.
- Braid groups, mapping class groups and transformation groups of smooth manifolds: quasi- morphisms, norms.
- Geometric group theory: quasi-isometric embeddings of finitely generated groups, bi-invariant word metrics.
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Dive into the research topics where Michael Brandenbursky is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
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Collaborations and top research areas from the last five years
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Research output
- 28 Article
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On quasimorphisms and distortion in homeomorphism groups
Brandenbursky, M., Kȩdra, J., Marcinkowski, M. & Shelukhin, E., 1 Jan 2026, (Accepted/In press) In: Communications in Contemporary Mathematics. 2650050.Research output: Contribution to journal › Article › peer-review
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The Lp$L^p$-diameter of the space of contractible loops
Brandenbursky, M. & Shelukhin, E., 1 May 2026, In: Bulletin of the London Mathematical Society. 58, 5, e70396.Research output: Contribution to journal › Article › peer-review
Open Access1 Scopus citations -
Volume and Euler classes in bounded cohomology of transformation groups
Brandenbursky, M. & Marcinkowski, M., 1 Jan 2025, In: Glasgow Mathematical Journal. 67, 1, p. 34-49 16 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Scopus citations -
Non-commutative Barge-Ghys Quasimorphisms
Brandenbursky, M. & Verbitsky, M., 1 Aug 2024, In: International Mathematics Research Notices. 2024, 15, p. 11135-11158 24 p.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
C 0-gap between entropy-zero Hamiltonians and autonomous diffeomorphisms of surfaces
Brandenbursky, M. & Khanevsky, M., 1 Jun 2023, In: Israel Journal of Mathematics. 255, 1, p. 311-324 14 p.Research output: Contribution to journal › Article › peer-review
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Lipschitz geometry of surface germs in R4: metric knots
Birbrair, L., Brandenbursky, M. & Gabrielov, A., 1 Jul 2023, In: Selecta Mathematica, New Series. 29, 3, 43.Research output: Contribution to journal › Article › peer-review
Open Access2 Scopus citations -
Bounded cohomology of transformation groups
Brandenbursky, M. & Marcinkowski, M., 1 Apr 2022, In: Mathematische Annalen. 382, 3-4, p. 1181-1197 17 p.Research output: Contribution to journal › Article › peer-review
Open Access6 Scopus citations -
FRAGMENTATION NORM AND RELATIVE QUASIMORPHISMS
Brandenbursky, M. & Kędra, J., 1 Oct 2022, In: Proceedings of the American Mathematical Society. 150, 10, p. 4519-4531 13 p.Research output: Contribution to journal › Article › peer-review
Open Access11 Scopus citations -
The Schwarz-Milnor lemma for braids and area-preserving diffeomorphisms
Brandenbursky, M., Marcinkowski, M. & Shelukhin, E., 1 Sep 2022, In: Selecta Mathematica, New Series. 28, 4, 74.Research output: Contribution to journal › Article › peer-review
3 Scopus citations -
On the entropy norm on Ham (S2)
Brandenbursky, M. & Shelukhin, E., 1 Apr 2021, In: Annales Mathematiques du Quebec. 45, 1, p. 231-237 7 p.Research output: Contribution to journal › Article › peer-review
Projects
- 2 Active
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Diffeomorphism groups: geometry and dynamics
Brandenbursky, M. (PI)
1/01/23 → 31/12/26
Project: Research
-
Diffeomorphism groups: geometry and dynamics
Brandenbursky, M. (PI)
1/01/23 → 31/12/26
Project: Research