Meral Tosun

Associate Professor

Ciragan Cad. No.36, 34357 Istanbul, Turkey

Telephone: + 90 212 227 44 80 - 464

e-mail: mtosun|at|gsu.edu.tr

Research Interests
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, 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.

Teaching/Enseignement

› Calculus I-II, Linear algebra, Introduction to algebraic geometry, Ideals - varieties and algorithms, Groups and geometry, Algebraic curves, Analytic geometry.

Publications/Preprints

› 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

Invited Talks

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

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