Singularities in algebraic geometry: Resolution and deformations of singularities, Topology of singularities, Classification of singularities,
Lie algebras related with surface singularities. Toric geometry. Tropical geometry.
› DEA mathematics Université Paris VII, Paris, France. June 1994
› Ph.D. mathematics Université d'Aix-Marseille I, Marseille, France. March 1998.
Advisor: Prof. Lê Dũng Tráng.
› Postdoctoral fellowship, The Abdus Salam ICTP, Trieste, Italy.
› Postdoctoral fellowship, Instituto de Mathematicas UNAM, Cuernavaca, Mexico.
› Part-time research fellowship, Feza Gursey Institute, Istanbul, Turkey.
› Assistant Professor, Yildiz Technical University, Istanbul, Turkey.
› Associate Professor, Galatasaray University, Istanbul, Turkey.
› Nash resolution for some rational singularities, (with A.Altintas Sharland and E.Garcia-Barrosso)
› Triple Root Systems, Quasi-determinantal Quivers and Examples of Linear Free Divisors, (with A.Altintas-Sharland and K.Nakamoto)
Submitted for publication.
› Nonisolated forms of rational triple singularities and their resolutions via Newton Polygon, (with A.Altintas-Sharland and G.Cevik)
To appear in Rocky Mountain Math. J., 2014.
› Construction of simple elliptic singularities of type \tilde D_5 and generalization of Slodowy slices, (with K. Nakamoto)
J. of Algebra, V.376, 2013.
› Simple singularities and simple Lie algebras , (with Lê D. T.)
TWMS Jour. Pure Appl. Math. V.2, N.1, 2011, pp. 97-111.
› Invariants of open books of links of surface singularities, (with A. Nemethi)
Studia Sci. Mat. Hungarica, 48 (1), 2011.
› Arrangements and Local Systems, and Singularities, (with F.Elzein, A.Suciu, M.Tosun, A.M.Uludag, S.Yuzvinsky)
Progress in Mathematics, Vol.283, 2010.
› Generators of the semigroup of Lipman of positive divisors, (with S.Altinok)
Bull. Braz. Math.Soc, New series, 39 no. 1-13, 2008.
› Semi-universal deformations of
some simple elliptic
singularities, (with K.Nakamoto)
Comptes Rendus Math., vol. 345, Issue 1, 2007.
› Toric varieties associated with
weighted graphs, (with S.Altinok)
Int. Mathematical Forum, 2006.
› Classification of rational singularities of multiplicity 5, (with
Z.Oer and A.Ozkan)
Int. J. of Pure and Appl. Mathematics vol. 41, (1), 2007.
› Some surface singularities
Lie algebras, (with K.Nakamoto)
Proceedings of Singularities in Geometry and Topology, 2005.
› ADE singularities, chambers
Proceedings of Soc. Math. de France, Sèminaire et Congrés 10, 2005.
› Combinatorics of rational
surface singularities, (with Lê D. T.)
Comment. Math. Helv. 79 (3), 2004.
› Tyurina components and
rational cycles for
Turkish J. of Math. Volume 23 (3), 1999.
› Arbres associès aux singularités rationnelles,
C.R. Acad. Sci. Paris t.329 Sèrie I, 1999.
› Singularités rationelles des surfaces
PhD. Thesis, Universite d'Aix-Marseille I, 1998.
My research works are available at
› A.Altintas (MSc, Yıldız Technical University), Geometry of Toric Varieties, 2006. She is now at.
› E.Bilgin (MSc, Co-advisor, Istanbul Technical University), A Theorem of Katz, 2009. She is now at.
› G.Cevik (MSc, Co-advisor, Koç University), Resolution of Some Non-isolated Hypersurface Singularities, 2011. She is now at
› A.Gunduz (MSc, Co-advisor, Marmara University), Free Divisors and Singularities, 2014.
› B.Ötüş, (MSc, Co-advisor, Koç University), Tropical
Hypersurfaces in Groebner Fan, 2015.
› E.Balcı, (MSc, Galatasaray University), Ongoing.
› B.Karadeniz, (MSc, Galatasaray University), Ongoing.
› Dieter Van Den Bleeken (Belgium), 2011. He is now at.
› Richard Gonzales (Peru), 2012. He is now at
› Zafeirakis Zafeirakopoulos (Greece), 2015-