Department of Mathematics
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Decadal changes in size, salinity, waterbirds, and fish in lakes of the Konya Closed Basin, Turkey, associated with climate change and increasing water abstraction for agriculture
Yilmaz, Gultekin; Colak, Mehmet Arda; Özgencil, İbrahim Kaan; Metin, Melisa; Korkmaz, Mustafa; Ertugrul, Serhat; Soyluer, Melisa; Bucak, Tuba; Tavsanoglu, U. Nihan; Özkan, Korhan; Akyürek, Sevda Zuhal; Beklioğlu, Meryem; Jeppesen, Erik (2021-08-09)
The Konya Closed Basin (KCB) in Turkey has a cold semiarid to warm Mediterranean climate and hosts the largest Turkish freshwater lake, Lake Beysehir, and the iconic saline Lake Tuz. Using published as well as our own grou...
The mapping class group is generated by two commutators
Baykur, R. Inanc; Korkmaz, Mustafa (2021-05-01)
We show that the mapping class group of any closed connected orientable surface of genus at least five is generated by only two commutators, and if the genus is three or four, by three commutators. (C) 2021 Elsevier Inc. A...
Low-slope Lefschetz fibrations
Çengel, Adalet; Korkmaz, Mustafa (2021-01-01)
For any g ≥ 3, we construct genus-g Lefschetz fibrations over the two-sphere whose slopes are arbitrarily close to 2. The total spaces of the Lefschetz fibrations can be chosen to be minimal and simply connected. It is als...
Finite rigid sets in curve complexes of nonorientable surfaces
Ilbira, Sabahattin; Korkmaz, Mustafa (Springer Science and Business Media LLC, 2020-06-01)
A rigid set in a curve complex of a surface is a subcomplex such that every locally injective simplicial map from the set into the curve complex is induced by a homeomorphism of the surface. In this paper, we find finite r...
Mapping class group is generated by three involutions
Korkmaz, Mustafa (2020-01-01)
We prove that the mapping class group of a closed connected orientable surface of genus at least eight is generated by three involutions.
Commutator and stable commutator lengths in groups
Korkmaz, Mustafa (null; 2019-09-18)
Yüzeylerin Gönderim Sınıfları Grubunun Üreteçleri
Korkmaz, Mustafa (2019-08-18)
Small Lefschetz fibrations and exotic 4-manifolds
Baykur, R. Inanc; Korkmaz, Mustafa (Springer Science and Business Media LLC, 2017-04-01)
We explicitly construct genus-2 Lefschetz fibrations whose total spaces are minimal symplectic 4-manifolds homeomorphic to complex rational surfaces CP2#pCP (CP) over bar (2) for P = 7,8,9, and to 3CP(2)#qCP (CP) over bar ...
Mapping class groups presentations representations and relations with symplectic manifolds
Korkmaz, Mustafa (null; 2015-08-01)
Arbitrarily long factorizations in mapping class groups
Korkmaz, Mustafa (2015-05-12)
On a compact oriented surface of genus g with n ≥ 1 boundary components, δ1, δ2, ..., δn, we consider positive factorizations of the boundary multitwist tδ1 tδ2 ...tδn, where tδi is the positive Dehn twist about the bounda...
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