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Anar Akhmedov

20072023
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4-manifold Mathematics
Signature Mathematics
Lefschetz Fibration Mathematics
Homeomorphic Mathematics
Geography Mathematics
Surgery Mathematics
Pairwise Mathematics
Genus Mathematics

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Projects 2010 2023

The Topology of Smooth and Symplactic 4-Manifolds

Akhmedov, A.

Simons Foundation

9/1/18 → 8/31/23

Project: Research project

4-manifold
Topology

Yamabe Memorial Symposium

Akhmedov, A.

National Science Foundation

8/1/18 → 8/31/19

Project: Research project

The Topology of Symplectic 4-Manifolds

Akhmedov, A.

Simons Foundation

8/1/18 → 7/31/19

Project: Research project

4-manifold
Topology

2014 Yamabe Memorial Symposium

Marden, A., Adams, S. R., Akhmedov, A., Gulliver, R. D., Li, T. & Wang, J.

National Science Foundation

6/1/14 → 5/31/15

Project: Research project

Sloan Research Fellowship

Akhmedov, A.

Alfred P. Sloan Foundation

9/15/12 → 9/15/16

Project: Research project

Research Output 2007 2020

Symplectic surgeries along certain singularities and new Lefschetz fibrations

Akhmedov, A. & Katzarkov, L., Jan 22 2020, In : Advances in Mathematics. 360, 106920.

Research output: Contribution to journal › Article

Lefschetz Fibration
Surgery
Singularity
Star
Genus

Deformation of singular fibers of genus two fibrations and small exotic symplectic 4 -manifolds

Akhmedov, A. & Sakalll, S., Mar 1 2019, In : International Journal of Mathematics. 30, 3, 1950017.

Research output: Contribution to journal › Article

4-manifold
Fibration
Genus
Fiber
Homeomorphic

Géographie des variétés de spin symplectiques, simplement connexes, de dimension 4. II

Translated title of the contribution: Geography of simply connected spin symplectic 4-manifolds, IIAkhmedov, A. & Park, B. D., Mar 2019, In : Comptes Rendus Mathematique. 357, 3, p. 296-298 3 p.

Research output: Contribution to journal › Article

Geography
4-manifold
Signature
Non-negative
Closed

Exotic Stein fillings with arbitrary fundamental group

Akhmedov, A. & Ozbagci, B., Aug 1 2018, In : Geometriae Dedicata. 195, 1, p. 265-281 17 p.

Research output: Contribution to journal › Article

Homeomorphic
Fundamental Group
Pairwise
Lefschetz Fibration
Contact
2 Citations (Scopus)

Constructing Lefschetz fibrations via daisy substitutions

Akhmedov, A. & Monden, N., Sep 2016, In : Kyoto Journal of Mathematics. 56, 3, p. 501-529 29 p.

Research output: Contribution to journal › Article

Lefschetz Fibration
Substitution
4-manifold
Seiberg-Witten Invariants
Class Group