Vita
Publications--see below
Ogrenci sayfasi Türkçe sayfa
Favorite Quote (new)
Research interests
-- before JA2023 which will be held in Dublin !!
Algebraic Geometry and Number Theory (2014)
"Geometry and Arithmetic around Teichmüller Theory" (2011)
"Commutative Algebra, Applications to Combinatorics & Algebraic Geometry" (2010)
"Geometry and Arithmetic around Galois Theory" (2009)
"Geometry and Arithmetic of Moduli Spaces of Coverings" (2008)
"Arithmetic and Geometry Around Hypergeometric Functions" (June 2005)
Grenoble, France. 1997--2000, Ph. D. Mathematics
Grenoble, France. 1996--1997, DEA Mathematics
Ankara, Turkey, 1994--1996, M.S. Mathematics
Istanbul, Turkey, 1989--1994, B.S. Mathematics
Ankara, Turkey, 1986--1989, High School Diploma
Motto:
To
inspire
is
more
important
then
to
teach!
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, Complex Analysis, Functional Analysis, Riemann
Surfaces, Abstract Algebra, and counting...Mathématiques
à
GSU
Pour acceder aux documents pédagogiques sur l'enseignement de mathématiques à GSU, consulter kikencere
Pour acceder aux documents pédagogiques sur l'enseignement de mathématiques à GSU, consulter kikencere
(MPI preprint, submitted for publication)
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
Manuscripta Mathematica, 124 (2007) No.1 31-44
Institut Fourier, Grenoble (2000)
Journal of Mathematical Analysis and Applications, 227, (1998) 335-358.
Cosmic Unification in the Presence of the
Eye-witnessing through the
Assembly of the Human Tree and the Four Spiritual Birds
"....Assembly of the Human Tree and the Four Spiritual Birds
From my impossibility to my validity, and from my validity to my deficiency.
I am no one in existence but myself, so-
Whom do I treat as foe and whom do I treat as friend?
Whom do I call to aid my heart, pierced by a penetrating arrow,
When the one who shot the arrow is my eyelid, striking my heart without an archer?
Why defend my station? It matters little to me, what do I care?
For I am in love with none other than myself, and my very separation is my union.
Do not blame me for my passion. I am inconsolable over Him who has fled me. -
- In this epistle I never cease addressing myself and returning to myself from my very self.
...
I am my beloved and my lover; I am my knight and my maiden.
....
I praise God who has "fashioned" me and "balanced" me, and made me enter upon "the most beautiful of constitutions." For He made me know myself through myself and caused me to appear to myself, so that I became enamored of only myself. Between my distance and my proximity I have become mad with love for myself, and I address myself alone.
Were I to see myself when I in my Essence, came to myself, secretly or openly,
And said, "Greetings" and answered, "At your service,"
And if my turning were from me to me, my very "Here I am!" would annihilate me,
My enemies and my trusty friends, my threat of punishment and my surplus grace,
My paradise of delights and my promised recompense, my witnessing and my testimony.
What wonderful favor would be mine through myself!
Oh I! Return me by me to me until I see my stability.
He returned me by me to me from me, and only my qualities subsisted in me.
...
When the signs of witnessing were lifted from me and the suffering of spiritual combat was removed, and harmony and succor began to flow through me, I mounted the Burâq of my spiritual aspiration and departed from the cycle of this grief. I fell into the sea of matter, and beheld the next world and the present one.
Then I shouted: "Oh alas!" and "Alas, my burning heart. I fled from the universe and here I am in it. Where is what I seek?"
I heard a voice coming from me-but neither inside me nor outside me-say: "Why do you demand a high station when you are on the road?...
I answered: "Oh you who obstruct me, your words have wounded me. Do you not know that you speak from your own station? You are in the presence of the essential being, divested of time and place, while I am in this dark sea, in this thick gloom and this fearful calamity, in this mine of lies and doubt, this place of faults and vices. Does not the one who is prisoner of quantity and quality and precepts of wisdom cry out: Woe!? If you extract me from the crashing waves and deliver me from the horror of this gloomy night I will never more pronounce the adverb or the preposition of place."
...
Through his irresistible power he attracted me to himself and said to me: "You are vanquished, so seek help!"
...
When he attracted me to himself I saw myself in another form than my previous one and I established myself there, firmly and steadily.
I said: "Oh I!"
He said: "I, welcome!"
I said: "No welcome, no greetings, no make yourself at ease!"
He said: "Oh eye-balm, what is the doubt that assails you? Oh prisoner of creation, what is afflicting you?"
I answered: "You do not cease from veiling me from myself. Unveil me to myself so that I can know myself!"
...
When I heard that there was still a trace of createdness before me, I feared that it would cut me off from my cognizance. So I rose from that gloomy darkness, leaving the Burâq of my aspiration in it. I was transported to the thrones of subtle grace and the cushions of the celestial couches, until I reached the station of rejoicing where I set myself to oscillate like a hanging lamp. I said: "What do I have to do with the state of audition?"
Someone said: "It is the beauty of the rhythm that has set you in motion."
I said: "I didn't feel it."
Someone said to me: "Be careful! For you are in yourself and not in him!"
I said: "Reality is beyond the rhythms of song. What it demands is extinction within extinction."
No sooner had I pronounced these words than a veil was lowered between my essence and his essence and a condition was set between him and me.
...
Then the Universal Tree of the garden, described as the Likeness, was unveiled to me
I observed a tree "whose root is firm and whose branches are in the heavens." Its fruit is in the hand of the Deity, established on the Throne. Among its branches sat the Crow and the strange Anqâ, and in the shelter of its boughs perched the Eagle and the Ring Dove. I greeted the Tree and it answered, greeting me even more finely.
It said: "Listen, O wayfarer, O king."
Discourse of the Universal Tree, described as the Likeness
"I am the universal tree of synthesis and likeness. My roots are deep, my branches are lofty.
..
The spirits blow on me from all directions. They disarrange the order of my branches. In striking against one another they make one hear such melodious sounds that they enrapture the supreme intellects in the utmost heights, and set them circling in accordance with what is inscribed in their scroll. I am the music of wisdom that removes care through the beauty of its melodious rhythm."
...
Discourse of the Royal Eagle
"I was still nonexistent as an entity in one of the degrees of creation when the divine solicitude came and made my existence the Beginning. Having manifested Himself to Himself, my existence was prolonged in self-contemplation."
...
Oh, Sakhr ibn Sinân, I have explained to you some of the stations of the sources of the creatures: the universal man, the first intellect, the unique soul, prime matter, and universal body. Investigate them like an intelligent man who seeks the salvation of his soul.
Peace be upon its author and upon us!
(al-Ittihad al-kawni fi hadrat al-ishhad al-ayni bi-madhur al-shajara al-insaniyya wa-l-tuyur al-arbaa al-ruhaniyya)
(Epistle on Cosmic Unification - Muhyiddin Ibn 'Arabi translated by Angela Jaffray) top
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