There are two main research interests in the group. The first is concentrated around the study and classification of differentiable manifold and their invariants, mainly in low dimensional cases. This includes knot theory, contact 3-manifolds, Heegaard Floer theory, Khovanov theory, Seiberg-Witten theory, low dimensional surgery techniques and their applications. The second research area is the theory of complex algebraic/analytic varieties, with a special emphasize on the local theory of singularities, including the study of their analytic and topological invariants.
The bridge between the two research areas is realized by the links of singularities, creating common research objectives (e.g. topological and analytical lattice homology, topological invariants of links of singularities and their effects an analytic invariants).
The department runs a weekly seminar.
Head of Department:

Némethi András
research professor
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:I.1.
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Phone:+3614838320
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Email:nemethi.andras (at) renyi.hu
Employees:

Beke Márton
assistant research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:II.5.
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Phone:+36 1 483 8326
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Email:beke.marton (at) renyi.hu

Csépai András
assistant research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:I.2.
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Phone:+36 1 483 8325
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Email:csepai.andras (at) renyi.hu

de la Bodega Domingo-Aldama Javier
research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:1.2.
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Phone:+36 1 483 8325
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Email:de.la.bodega.javier (at) renyi.hu

Földvári Viktória Andrea
research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:I/2.
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Phone:1/4838325
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Email:foldvari.viktoria (at) renyi.hu

Alexander Hof
research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:I.1
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Phone:+3614838320
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Email:hof.alexander (at) renyi.hu

Juhász András
research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:I/2.
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Phone:1/4838325
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Email:juhasz.andris (at) renyi.hu

Koltai László András
assistant research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:II.2.
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Phone:+36 1 483 8307
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Email:koltai.laszlo (at) renyi.hu

Kubasch Alexander Arnd
assistant research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:Reál 11.
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Phone:+36 1 483 8397
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Email:kubasch.alexander (at) renyi.hu

Marco Marengon
senior research fellow
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Research group:Low-dimensional topology
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Research department:Algebraic geometry and differential topology
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Room:I.1.
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Phone:+3614838320
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Email:marengon.marco (at) renyi.hu

Matszangosz Ákos
research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:II.2.
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Phone:+3614838307
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Email:matszangosz.kyriakos.akos (at) renyi.hu

McDonald Clayton
research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:I.2.
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Phone:+36 1 483 8325
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Email:mcdonald.clayton (at) renyi.hu

Nagy Anita Enikő
assistant research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:II.5.
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Phone:+36 1 483 8326
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Email:nagy.anita.eniko (at) renyi.hu

Nagy János
research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:I.2.
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Phone:+36 1 483 8325
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Email:nagy.janos (at) renyi.hu

Schefler Gergő
assistant research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:II.2.
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Phone:+36 1 483 8307
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Email:schefler.gergo (at) renyi.hu

Stipsicz András
Director of the Institute, research professor
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Research group:Low-dimensional topology
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Research department:Algebraic geometry and differential topology
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Room:fsz.3.
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Phone:06 1 483 8355
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Email:stipsicz.andras (at) renyi.hu

Szabó Endre
research professor
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:I.4.
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Phone:06 1 483 8336
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Email:szabo.endre (at) renyi.hu

Szabó Szilárd
senior research fellow
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Research group:Low-dimensional topology
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Research department:Algebraic geometry and differential topology
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Room:III.15
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Phone:+3614838333
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Email:szabo.szilard (at) renyi.hu

Szőke Róbert
research professor
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Research group:
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Research department:Algebraic geometry and differential topology
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Room:III.10.
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Phone:+36 1 483 8306
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Email:szoke.robert (at) renyi.hu

Tagliente Simone
assistant research fellow
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Research group:
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Research department:Algebraic geometry and differential topology
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Room:I.2.
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Phone:+36 1 483 8325
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Email:tagliente.simone (at) renyi.hu

Sarah Juliet Zampa
assistant research fellow
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Research group:-
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Research department:Algebraic geometry and differential topology
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Room:II.5.
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Phone:+3614838326
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Email:zampa.sarah (at) renyi.hu