A. Muhammed Uludağ
ben Galatasaray University gsu logo
Department of Mathematics
Ciragan Cad. No.36, Besiktas, Istanbul, 34357 Turkey    
Telephone: + 90 212 227 44 80 - 462
g-mail: muhammed.uludag
Vita 
Publications--see below

ISTANBUL MATHEMATICAL AGENDA
Ogrenci sayfasi Türkce sayfa
Favorite Quote (new)           

Research interests
Orbifolds and all that is hyper: hypergeometry, complex hyperbolic geometry, hyperplane arrangements, topology of hypersurface complements. 
I am currently conceiving... Hypergeometric Galois Representations, Ribbon Solenoids, Arboreal Solenoids, etc.
These days I am living in a hypergeometric curve. A related series of talks.

Research 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" (June 2008)
GTEM/TUBITAK Summer School "Geometry and Arithmetic around Galois Theory" (June 2009)
"Commutative Algebra and Applications to Combinatorics and Algebraic Geometry" (September  2010)  
....
Journees Arithmetiques 2019 will be held in Istanbul (inshallah)-- before JA2023 which will be held in Dublin !!



Education

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



Teaching/Enseignement/Dersler Probability, Complex Analysis, Discrete mathematics, Automata and theory of languages, Introduction to Cryptography, Complexity and theory of languages, Numerical Analysis, Introduction to Mathematical Logic and Set Theory, Linear Algebra, Calculus, Real Analysis.... Motto: To inspire is more important then to teach!

Mathématiques à GSU
Pour acceder aux documents pédagogiques sur l'enseignement de mathématiques à GSU, consulter kikencere

Publications/Preprints (pdf files)



birkhauser book (Co-editor) Aritmetic and Geometry Around Galois Theory
GTEM Summer School, Galatasaray University, Istanbul, 2009
Intended for: Progress in Mathematics, Birkhauser
P. Debes, M . Emsalem, M. Romagny, A. M. Uludag (Eds)
(to appear)
birkhauser book (Co-editor) Arrangements & Local Systems and Singularities
Lecture Notes of a CIMPA Summer School,
Galatasaray University, Istanbul, 2007
Series: Progress in Mathematics , Vol. 283 Birkhauser
F. ElZein, A. Suciu, M.Tosun, A.M. Uludag, S. Yuzvinsky (Eds)
2010, ISBN: 978-3-0346-0208-2
KİTAP'tan Deliller (translator)
Proofs From The Book by Martin Aigner and Gunter M. Ziegler
(Appeared in March 2009: Bilgi University Publications )
Turkish Academy of Sciences award in 2010

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

OSS Sinavi uzerine -- E. D. Hirsh on bubble tests 
A critique (in Turkish) of the university  entrance exam in Turkey (2008) Published: here


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

            
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TV is opium of the masses!

Favorite Quote
"My Friend!

What I have so often told you, I say it once more, or rather I cry it to you: Either-Or! On me these words have always made a strong impression. - I think of an early youth,where, without really understanding what it is to choose in life, with childish confidence listened to the speech of my seniors, and the moment of choice became to me solemn and revered, even though in choosing I only followed somebody else's directions. I think of the moments in later life, where I was in the dividing path, where my soul was matured in the hour of decision. I think of the many, less important, but to me not uninteresting cases in life, where choosing was the issue; for even if there is only one context where this word has its absolute meaning, namely every time on one hand Truth, Justice and Holiness, on the other hand Lust and Inclinations, obscure Passions and Perdition,show up, then it is always important also in things, where it is in itself innocent, which one chooses, to choose right, to test oneself, so that one shall not painfully retreat to the point of departure, and thank God if one has not more to reproach oneself than having wasted one's time.

The choice itself is decisive for the contents of the personality. - If you imagine a helmsman of a ship at the moment when it has to cross over, then he may say, I can do either this or that; but if he is not a mediocre helmsman, then he will also be aware that, during all this, the ship is going at its usual speed , and that thus there is only a moment where it does not count whether he does this or that. So it is with Man, if he forgets to take this speed into account, then at last a moment comes, where there is no more talk of an Either-Or, not because he has chosen, but because he has left it out, which can also be expressed in this way, because others have chosen for him, because he has lost himself. Now if you will the understand me right, then I can willingly say that in choosing it is not so much the matter of choosing the right thing, as of the energy, the seriousness and the pathos, by which one chooses. In this the personality proclaims itself in its inner infinity, and thereby again the personality is consolidated. So even if a person chose the wrong thing, then he will still, even because of the energy by which he chose, find that he chose the wrong thing. Since indeed the choice is undertaken with the whole intensity of the personality, his being is purified, and he himself brought into an immediate relation to the eternal power that ever present pervades the whole existence. So for freedom I fight, for the future time, for Either-Or." (Soren Kierkegaard) top


Previous 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..." (Albert Einstein) top