Prof.Dr. A. Muhammed Uludağ

Prof.Dr. A. Muhammed Uludağ

Prof.Dr. A. Muhammed Uludağ

Galatasaray Üniversitesi Matematik Bölüm Başkanı

WWW: math.gsu.edu.tr/uludag/

CV: math.gsu.edu.tr/uludag/uludagCV.pdf

Araştırma alanları: Modular groups, Teichmuller theory, Hypergeometric Galois Representations, Orbifolds, Hypergeometry, Complex Hyperbolic Geometry, Hyperplane Arrangements, Topology of Hypersurface Complements.

İlgi alanları: Müzik, fosiller

 

Education
• Institut Joseph Fourier, Grenoble, France. 1997–2000, Ph. D. Mathematics
• Institut Joseph Fourier, Grenoble, France. 1996–1997, DEA Mathematics
• Bilkent University, Ankara, Turkey, 1994–1996, M.S. Mathematics
• Bosphorus University, Istanbul, Turkey, 1989–1994, B.S. Mathematics
• Ankara Fen Lisesi, Ankara, Turkey, 1986–1989, High School Diploma

Academic Positions
• 2010– : Professor, Galatasaray Un. Mathematics Dep., Istanbul.
• 2006–10: Associate Professor, Galatasaray Un. Mathematics Dep., Istanbul.
• 2004–06: Associate Professor, Galatasaray Un. Computer Engineering Dep. Istanbul.
• 2002–04: Assistant Professor, Galatasaray Un. Istanbul.
• 2001–02: Research Assistant, Galatasaray Un.Istanbul.
• 1997–98: Teaching assistant, Fourier Institute, Grenoble.
• 1994–96: Teaching/Research assistant, Bilkent Un. Ankara.

Thesis Writtten
• On Possible Deterioration of Smoothness under the Operation of Convolution. (M.A. Advisor: I. V. Ostrovskii)
• On the Existence of Green Function and Bounded Harmonic Functions on Galois Covers of Riemann Surfaces. (D.E.A. Advisor: M. Zaidenberg.)
• On the Fundamental Groups of a Class of Rational Cuspidal Plane Curves. (Ph.D. Advisor: Prof. M. Zaidenberg.)

Awards & Grants
• 2018–19: Research Fund of Galatasaray University: Research project “A common framework for the mapping class group and the Thompson group”
• 2016–19: Turkish Scientific and Technological Research Council (TUBITAK): 1001 Research Grant “CONTFRAC: Continued fraction maps”
• 2016–17: Research Fund of Galatasaray University: Research project “Measures on the boundary of the Farey tree”
• 2015–16: Research Fund of Galatasaray University: Research project “Ruelle zeta and other zeta functions associated to a family of dynamical continued fraction maps”
• 2015–18: (Assistant Researcher) Turkish Scientific and Technological Research Council (TUBITAK): 1001 Research Grant “Generalized C¸ arks and Binary Quadratic Forms”
• 2013–16: (Advising Scientist) Turkish Scientific and Technological Research Council (TUBITAK): 1001 Research Grant “Info-Mod:”
• 2014–15: Research Fund of Galatasaray University: Research project “Subgroups of the general linear group over the rationals”
• 2012–14: Research Fund of Galatasaray University: Research project “A visual study of the modular group”
• 2011–14: Turkish Scientific and Technological Research Council (TUBITAK): 1001 Research Grant “GALACT: Hypergeometric Galois Actions”
• 2010 : The Scientific and Technological Research Council of Turkey (TUBITAK) TWAS Incentive Award for young scientist.
• 2010 : Turkish Academy of Sciences (TUBA) award for the translation of “Proofs from the Book”.
• 2009 – : Research Fund of Galatasaray University: Research project “Modular Group, Ribbons and Solenoids”
• 2006–09: Turkish Academy of Sciences (TUBA): Outstanding Young Scientist Grant
• 2005–09: Turkish Scientific and Technological Research Council (TUBITAK): Kariyer grant “Complex Hyperbolic Geometry” • 2007–09: Research Fund of Galatasaray University: Research project “Galois actions on some arithmetic stacks”
• 2006–07: Research Fund of Galatasaray University: Research project “Orbifolds covered by Calabi-Yau manifolds”

Publications
Books
• (with Hakan Ayral) Proje Rehberi, Galatasaray University Publications (2015). (A guide on project proposals for Tubitak grants) Also available as en e-book on Google Play. Apple Store version to appear.
• (Under preparation, with ˙Irem Portakal) Mod¨uler Grup (A book project in Turkish on the modular group, estimated to appear in 2015)
• (Translator) Proofs from the Book, Aigner, Ziegler (Kitap’tan Deliller), Bilgi University Publications, appeared March 2009 Editorial work
• (Co-editor) Aritmetic and Geometry Around Galois Theory GTEM Summer School, Galatasaray University, Istanbul, 2009 Progress in Mathematics, Birkhauser P. Debes, M . Emsalem, M. Romagny, A. M. Uluda˘g (Eds) (2012)
• (Co-editor) Arrangements & Local Systems and Singularities, Lecture Notes of the CIMPA Summer School held at Galatasaray University (Istanbul) Edited by F. ElZein, A. Suciu, M. Tosun, A.M. Uluda˘g, S. Yuzvinsky, Birkh¨auser-Progress in Mathematics Vol. 283 (2010)
• (Editor) Arithmetic and Geometry Around Hypergeometric Functions, Lecture Notes of the CIMPA Summer School held at Galatasaray University (Istanbul) Edited by R.P. Holzapfel, A.M. Uludag, M. Yoshida, Birkh¨auser-Progress in Mathematics, Vol. 260 (2007)

Research Papers
• A subtle symmetry of Lebesgue’s measure, (with Hakan Ayral, Journal of Theoretical Probability, 2017).
• (with A. Zeytin and H. Ayral) InfoMod: A visual and computational approach to Gauss binary quadratic forms, submitted, 2016.
• Dynamics of a family of continued fraction maps, (with Hakan Ayral, Dynamical Systems: an international journal, 2017).
• An involution of reals, discontinuous on rationals and whose derivative vanish almost everywhere. This is the last section of “Jimm, a fundamental involution” which could not be published because of its length and notational issues (with Hakan Ayral, 2016).
• On the Involution of the Real Line Induced by Dyer’s Outer Automorphism of PGL(2,Z). This is the first section of “Jimm, a fundamental involution” which could not be published because of its length and notational issues (with Hakan Ayral), submitted, 2016.
• Fundamental Groups of a Class of Rational Cuspidal Plane Curves, International Journal of Mathematics, (2016).
• Hypergeometric Galois actions (with ˙Ismail Sa˘glam), Handbook of Teichm¨uller Theory (2016).
• A panorama of the fundamental group of the modular curve (with Ayberk Zeytin), Handbook of Teichm¨uller Theory (2016)
• (with H. Ayral), Jimm, a fundamental involution, arxiv preprint (2015).
• (Under preparation, with Ayberk Zeytin) The C¸ ark Groupoid and Thompson’s Groups
• Actions of the Modular Group, (with an appendix by Hakan Ayral) appeared in: Handbook of Group Actions, Athanase Papadopoulos, Lizhen Ji and S.-T. Yau (editors) International Press, 2015.
• (with Ayberk Zeytin and Merve Durmu¸s) Binary Quadratic Forms as Dessins, to appear in: Journal de la th´eorie des nombres de Bordeaux (2016)
• (with Celal Cem Sarıo˘glu) On finite branched uniformizations of the projective plane, International Journal of Mathematics (2013)
• (with Ayberk Zeytin) Quadrangulations of sphere, ball-quotients and Belyi morphisms, Mathematische Nachrichten (2014)
• Smooth finite abelian uniformizations of projective spaces and Calabi-Yau orbifolds, Manuscripta Matematica, Vol. 124 (2007) No.1 31-44
• Orbifolds and their uniformization in: Arithmetic and Geometry Around Hypergeometric Functions, Lecture Notes of the CIMPA Summer School held at Galatasaray University (Istanbul) Edited by R.P. Holzapfel, A.M. Uludag, M. Yoshida, Birkh¨auser-Progress in Mathematics, Vol. 260 (2007)
• Galois Coverings of the plane by K3 surfaces, Kyushu Journal of Mathematics Vol. 59 (2005), No. 2 393-419
• Covering relations between ball-quotient orbifolds, Mathematische Annalen 308, No.3 (2004) 503-523.
• On Branched Galois Coverings (B1) n → P n , International Journal of Mathematics 4 10 (2003), 1025-1037.
• Fundamental groups of some quadric-line arrangements, (with Amram, M. and Teicher, M.) Topology and its Applications 130, no. 2 (2003), 159-173.
• More Zariski pairs and finite fundamental groups of plane curve complements Manuscripta Math. 106 3 271-277 (2001)
• Existence of Green function and bounded harmonic functions on Galois covers of Riemannian Manifolds, Osaka J. Math. 38, no 2 (2001).
• On possible deterioration of smoothness under the operation of convolution, Journal of Mathematical Analysis and Applications, 227, 335-358 (1998).
• On possible deterioration of smoothness under the operation of convolution, C.R. Acad. Sci. Paris, t.322, s´erie I, p. 173-178, (1996).