**Ayberk Zeytin**

Galatasaray Universitesi

Matematik Bolumu

Ciragan Cad. No.36, Besiktas, 34349

Istanbul / Turkey

Research

**Research Interests:**

action of the absolute Galois group on algebraic curves and surfaces,

subgroups of the modular group,

Teichmueller theory,

Weber's class number problems

and a bit of conformal field theory

**Publications & Preprints:**

Comments, corrections and suggestions are always welcome.

(Please take into account that published versions may differ from the ones below!)

(with M. Uludag and H. Ayral)

**InfoMod: A visual and computational approach to Gauss’ binary quadratic forms , submitted**

**Multivariate Lucas Polynomials and Ideal Classes in Quadratic Number Fields , in Turk J Math, 42: 1543 – 1555, 2018**(DOI: 10.3906/mat-1608-65)

(with M.H. Sengun)

**Binary Forms and Euclidean Bianchi Groups , in progress**

(with M. Uludag)

**A panorama of the fundamental group of the modular orbifold**, in

**Handbook of Teichmueller Theory, vol. VI**, pp: 501-519, (DOI: 10.4171/161-1/16)

**Class number problems and Lang conjectures,**in Algebraic Geometry and Number Theory: Lecture Notes of a CIMPA-CMI-TUBITAK Summer School held at Galatasaray University Istanbul, 2014(Birkhauser-Progress in Mathematics), available online as an IHES preprint here

(with M. Uludag)

**The Cark Groupoid and Thompson's Groups, in progress**

**On Reduction Theory of Binary Quadratic Forms,**Publ. Math. Debrecen, 89/1-2 (2016), 203–221. (DOI: 10.5486/PMD.2016.7470)

(with M. Uludag and M. Durmus)

**Binary Quadratic Forms as Dessins**, J. Theor. Nombres Bordeaux 29/2 (2017), pp:445-469 (DOI: 10.5802/jtnb.987)

**Polygonal Belyi morphisms, has evolved and became Belyi Lattes maps, submitted.**

(with M. Uludag)

**Quadrangulations of sphere and ball quotients , Math. Nachr.**287, No. 1, 105 - 121 (2014)(DOI: 10.1002/mana.201200174)

The web-page of the software, called InfoMod, that is developed by H. Ayral, C. C. Sarioglu, A. M. Uludag and myself is here.

The PARI/gp code to do computations with carks is here (updated on 08.08.2016 with some more routines).

The PARI/gp code to do computations with complex continued fractions is here. At the moment, the algorithm works only for the fields Q(\sqrt(-1)) and Q(\sqrt(-2)). The algorithms are in progress, and do not have any claim of being optimal.

The above packages come WITHOUT ANY WARRANTY. Use at your own risk.

**Editorial:**

Algebraic Geometry and Number Theory: Lecture Notes of a CIMPA-CMI-TUBITAK Summer School held at Galatasaray University

**MSc. Students:**

Begüm Gülşah Çaktı, ongoing Ersin Süer, ongoing Şahan İzgi (Theta functions of indefinite binary quadratic forms), now math teacher at St. Pulchérie Melike Efe (Classification of Lattes maps), now a PhD student at Sabancı University

**Popular Math:**

(with B.G. Cakti)

**Spiraller, Asal Sayilar ve Polinomlar, Matematik Dunyasi, 106**

News

Jui 15, 2019

Resume de resultats des examens d'apres l'examen de rattrapage de Math 204 : Algebre Abstrait est disponible ici.

Oct. 29, 2016

Journees Arithmetiques will take place in Istanbul in 2019.

Jui 15, 2019

Resume de resultats des examens d'apres l'examen de rattrapage de Math 204 : Algebre Abstrait est disponible ici.

Oct. 29, 2016

Journees Arithmetiques will take place in Istanbul in 2019.