Meral Tosun
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Associate Professor Ciragan Cad. No.36, 34357 Telephone: + 90 212 227 44 80 - 464 e-mail: mtosun|at|gsu.edu.tr |
Singularities in algebraic geometry, resolution and deformations of singularities, topology of singularities, classification of singularities and Lie algebras. Toric geometry. Tropical geometry.
Research Experience
› DEA mathematics Université Paris VII,
› Ph.D. mathematics Université d'Aix-Marseille I,
Advisor: Prof. Lê Dũng Tráng.
› Postdoctoral fellowship, The Abdus Salam ICTP,
› Postdoctoral fellowship, Instituto de Mathematicas UNAM,
› Part-time research fellowship, Feza Gursey Institute,
› Assistant Professor, Yildiz Technical University,
› Associate Professor, Galatasaray University,
Teaching/Enseignement
› Calculus I-II, Linear algebra, Introduction to algebraic geometry, Ideals - varieties and algorithms, Groups and geometry, Algebraic curves, Analytic geometry.
› Construction of simple elliptic singularities of type \tilde D_5 and generalization of Slodowy slices, (with K. Nakamoto)
Submitted for publication.
› 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, pp. 135-144.
› Co-editor Arrangements and Local Systems, and Singularities, Birkhauser Progress in Mathematics, Vol.283
Edited by F.Elzein, A.Suciu, M.Tosun, A.M.Uludag, S.Yuzvinsky, 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, pp. 31-34.
› 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, No. 1, pp. 85-110, 2007.
› Some surface
singularities obtained via Lie algebras, (with K.Nakamoto)
Proceedings of the Trieste Singularity Summer School (2005),
Singularities in Geometry and Topology.
› ADE singularities,
chambers and toric varieties,
Proceedings of Franco-Japanese CIRM,
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 rational singularities,
Turkish J. of Math. Volume 23 (3), 1999.
› Arbres associès aux singularités
rationnelles,
C.R. Acad. Sci. Paris t.329 Sèrie I,
1999.
› PhD. Thesis
Singularités rationelles des surfaces
Students
› Ayse Altintas (MSc Thesis on Geometry of Toric Varieties). She is now at.
› Emel Bilgin (MSc Thesis on A Theorem of Katz). She is now at.
› Gulen Cevik (MSc Thesis on A Resolution of Some Non-isolated Hypersurface Singularities, ongoing)
Organised Workshops
› Fonktorsellik ve Eslesme, Speaker: R.P. Langlands (March-April 2011)
› History of Mathematics I-II, Speaker: R.P. Langlands (June 2003, May 2004)
› Workshop on Singularity Theory (June 2001)
For other workshops held GSU, please click here
Mathématiques à FIT
Pour acceder aux documents pédagogiques sur l'enseignement de mathématiques à FIT, consulter kikencere