A. Muhammed Uludag

ben
Associate Professor
Galatasaray University
Department of Mathematics
Ciragan Cad. No.36, 34357 Istanbul, Besiktas, Turkey
Telephone: + 90 212 227 44 80 - 462
g-mail: muhammed.uludag



OSS Sinavi uzerine  
Favorite Quote

Research interests
Orbifolds and all that is hyper: hypergeometry, complex hyperbolic geometry, hyperplane arrangements, topology of hypersurface complements. Nowadays I am reading.. Geometric Galois Representations, arithmetic fundamental groups, etc.

  • Publications--see below
  • Vita
  • See the full version of my picture above

  • Summer Schools at Galatasaray University
  • CIMPA Summer School "Arithmetic and Geometry Around Hypergeometric Functions" (June 2005)
  • EMS Summer School "Arithmetic and Geometry Around Quantization" (June 2006)
  • CIMPA Summer School "Arrangements and Local Systems and Singularities" (June 2007)
  • GTEM/TUBITAK Summer School  "Geometry and Arithmetic of Moduli Spaces of Coverings" 09-20 June, 2008
  • GTEM/TUBITAK Summer School "Geometry and Arithmetic around Galois Theory" 08-19 June, 2009 (under construction)

  • Education
    book

    Ankara Fen Lisesi,
    Ankara, Turkey, 1986--1989, High School Diploma


    book

    Bosphorus University,
    Istanbul, Turkey, 1989--1994, B.S. Mathematics


    book

    Bilkent University,
    Ankara, Turkey, 1994--1996, M.S. Mathematics


    book

    Institut Joseph Fourier,
    Grenoble, France. 1996--1997, DEA Mathematics


    book

    Institut Joseph Fourier,
    Grenoble, France. 1996--1997, Ph. D.  Mathematics




    Teaching/Enseignement/Dersler
  •   Probabilités/Probability/Olasılık (gsu)
  •   Probabilités/Probability/Olasılık (gsu)
  •   Mathématiques discrètes/Discrete mathematics/Kesikli matematik (gsu)
  •   Automates et la théorie des langages/Automata and theory of languages/Otomatlar ve diller kuramı (gsu)
  •   Introduction à la cryptographie/Introduction to Cryptography/Şifrelemeye giriş (gsu)
  •   Complexité et la théorie des langages/Complexity and theory of languages/Karmaşıklık ve diller kuramı (gsu)
  •   Analyse Numerique/Numerical Analysis/Sayısal Analiz (gsu)
  •   Introduction to Mathematical Logic and Set Theory (yeditepe)
  •   Introduction to Mathematical Structures (yeditepe)
  •   Linear Algebra (yeditepe)
  •   Calculus I-II (lefke)

  • Mathématiques à FIT
    Pour acceder aux documents pédagogiques sur l'enseignement de mathématiques à FIT, consulter kikencere
    Publications/Preprints (pdf files)

    book
  • Just finished translating to Turkish (March 2008)...
  • Proofs From The Book by Martin Aigner and Gunter M. Ziegler
    (To appear in: Bilgi University Publications )



  • Smooth finite abelian uniformizations of projective spaces and Calabi-Yau orbifolds,
    Manuscripta Matematica, 124 (2007) No.1 31-44

  • Orbifolds and their uniformization,
    lecture note, appeared in the following book.

  • book
    (Co-editor) Arithmetic and Geometry Around Hypergeometric Functions
    Lecture Notes of a CIMPA Summer School held at Galatasaray University, Istanbul, 2005
    Series: Progress in Mathematics , Vol. 260
    Holzapfel, Rolf-Peter; Uludag, Muhammed; Yoshida, Masaaki (Eds.)


  • 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 of P^n by products of discs,
    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, 2 (2003) 159-173.

  • More Zariski pairs and finite fundamental groups of plane curve complements,
    Manuscripta Math. 106 3 (2001) 271-277.

  • On Fenchel's problem in the projective plane,
    (not published)

  • Existence of Green function and bounded harmonic functions on Galois covers of Riemannian Manifolds,
    Osaka J. Math. 38, no 2 (2001).

  • Ph. D. Thesis
    Fundamental groups of a family of rational cuspidal plane curves
    Institut Fourier, Grenoble (2000)

  • On possible deterioration of smoothness under the operation of convolution,
    Journal of Mathematical Analysis and Applications, 227, (1998) 335-358.

  • On possible deterioration of smoothness under the operation of convolution,
    C.R. Acad. Sci. Paris, t.322, serie I, (1996) 173-178.


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    Prof. Dr. Cengiz Uluçay'ın Fonksiyonlar Teorisi ve Riemann Yüzeyleri kitabı

    Favorite Quote: "How does a normally talented research scientist come to concern himself with the theory of knowledge? Is there not more valuable work to be done in his field? I hear this from many of my professional colleagues; or rather, I sense in the case of many more of them that this is what they feel. I cannot share this opinion. When I think of the ablest students whom I have encountered in teaching - i.e., those who have distinguished themselves by their independence and judgement and not only mere agility - I find that they have a lively concern for the theory of knowledge. They like to start discussions concerning the aims and methods of the sciences, and showed unequivocally by the obstinacy with which they defend their views that this subject seemed important to them. This is not really astonishing. For when I turn to science not for some superficial reason such as money-making or ambition, and also not (or at least exclusively) for the pleasure of the sport, the delights of brain-athletics, then the following questions must burningly interest me as a disciple of science: What goal will be reached by the science to which I am dedicating myself? To what extent are its general results `true'? What is essential and what is based only on the accidents of development?... Concepts which have proved useful for ordering things easily assume so great an authority over us, that we forget their terrestrial origin and accept them as unalterable facts. They then become labelled as `conceptual necessities', `a priori situations', etc. The road of scientific progress is frequently blocked for long periods by such errors. It is therefore not just an idle game to exercise our ability to analyse familiar concepts, and to demonstrate the conditions on which their justification and usefulness depend, and the way in which these developed, little by little..." (Einstein) top