**Teaching and Learning - I never know on which
side I am**

Calculus has always been fun! Here we are exploring orientable
and non-orientable surfaces.

**Ali Sinan SERTÖZ**

__PhD Students__

Sefa Feza ARSLAN (1999) Monomial curves and the Cohen-Macaulayness of their tangent planes

Mesut ŞAHİN (2008) Complete
intersection monomial curves and nondecreasing Hilbert functions

İnan Utku TÜRKMEN (2012) Indecomposable
Higher Chow Cycles on a Product of Curves (Co-supervisor: Prof. Dr.
James D. Lewis)

Serkan SONEL (2018-...)

__MSc Students__

Sefa Feza ARSLAN (1994) On Arf rings

Mesut ŞAHİN (2002) On the minimal number of elements generating an algebraic set

Meltem ÖNAL (2002) On complete intersections and connectedness

Ali YILDIZ (2003) Curves in projective space

İnan Utku TÜRKMEN (2004) Cohomological dimension and cubic surfaces

Caner KOCA (2005) Orbits in the anti-invariant sublattice of the K3 lattice

Serkan SONEL, (2018 ) Which algebraic K3 surfaces cover an Enriques
surface

Oğuzhan YÖRÜK, (2019) Which
algebraic K3 surfaces doubly cover an Enriques surface: A
computational approach

__Senior Project Students__

55 |
Spring 2021 |
Demir Eken |
K3 surfaces |

54 |
Fall 2016 |
Özgür KALE |
Compact Riemann surfaces |

53 |
Spring 2016 |
Süleyman KERİMOV | Graph colorings and algorithms |

52 |
Spring 2015 |
Süleyman KERİMOV | Burnside's lemma and Polya's enumeration theorem |

51 |
Spring 2015 |
Oğuzhan YÜRÜK | Neron-Severi group |

50 |
Fall 2014 |
Oğuzhan YÜRÜK | Riemann-Roch theorem and its applications |

49 |
Fall 2013 |
Rasimcan ÖZBEK | Calculating the Hilbert polynomial of complete intersections |

48 |
Fall 2013 |
Begüm ATEŞLİ | About the Jacobian conjecture |

47 |
Spring 2012 |
Tuğba UZLUER | Boustrophedon Transform |

46 |
Spring 2012 |
Cihan Bilge KAYASANDIK | Characteristic Classes |

45 |
Fall 2011 |
Duygu SİLİ | Lambert W Function |

44 |
Fall 2011 |
Cihan Bilge KAYASANDIK | Bernoulli Numbers |

43 |
Spring 2011 |
Ahmet KABAKULAK | Lines on surfaces |

42 |
Fall 2010 |
Ahmet KABAKULAK | Introduction to Arf rings |

41 |
Summer 2010 |
Ahmet KABAKULAK | Indefinite lattices; a matrix approach |

40 |
Fall 2009 |
Togay BAYRAM | Castelnuovo theorem |

39 |
Summer 2009 |
Hubeyb GÜRDOĞAN | Lattices-an elementary approach |

38 |
Spring 2009 |
Mehmet Emin AKTAŞ | Classical algebraic geometry |

37 |
Spring 2009 |
Toygar KERMAN | Hilbert's nullstellensatz |

36 |
Fall 2008 |
Mehmet Emin AKTAŞ | Some cases of the Eisenbud-Green-Harris conjecture |

35 |
Fall 2008 |
Merve GÖRGÜLÜ | Sparse squares of polynomials |

34 |
Summer 2008 |
Mehmet Emin AKTAŞ | Applications of Abel's theorem |

33 |
Summer 2008 |
Merve GÖRGÜLÜ | Applications of Riemann-Roch theorem |

32 |
Spring 2008 |
Ali Kemal UNCU | Classification Theorems for Integral Lattices |

31 |
Spring 2008 |
İsmail SAĞLAM | Some special cases of the Jacobian conjecture |

30 |
Summer 2006 |
Selim BAHADIR | Algebraic Plane Curves |

29 |
Spring 2006 |
Cenk AKAR | Puiseux expansions |

28 |
Spring 2006 |
Selim BAHADIR | Classification of indefinite integral lattices |

27 |
Fall 2005 |
Ömer Faruk ZORA | Multiplicative sequences |

26 |
Spring 2005 |
Yılmaz DEMİRCİ | The twenty seven lines on a cubic surface |

25 |
Spring 2005 |
Cenk AKAR | Resolution of curve singularities by blow-ups |

24 |
Fall 2004 |
Yılmaz DEMİRCİ | On field extensions |

23 |
Fall 2004 |
Cenk AKAR | The unmixedness theorem |

22 |
Spring 2004 |
Alper HAYTA | Linear representations of finite groups |

21 |
Spring 2004 |
Ali Şamil KAVRUK | Commutative algebra for algebraic geometry |

20 |
Fall 2003 |
Ali Şamil KAVRUK | Applications of Sylow theorems on classification |

19 |
Fall 2003 |
Çağan KORKMAZ | Effectiveness of Hilbert's nullstellensatz |

18 |
Spring 2003 |
Caner KOCA | De Rham cohomology and the geometry of algebraic varieties |

17 |
Fall 2002 |
Caner KOCA | Topology of algebraic verieties |

16 |
Summer 2002 |
Caner KOCA | On definite integral inner product spaces |

15 |
Spring 2002 |
İnan Utku TÜRKMEN | Complete intersections |

14 |
Fall 2001 |
İnan Utku TÜRKMEN | Construction of the integral closure of a finite integral domain |

13 |
Summer 2001 |
Caner KOCA | A classification theorem for symmetric indefinite unimodular lattices |

12 |
Spring 2001 |
Yasemin AKSEN | C-infinity functions and analyticity |

11 |
Spring 2001 |
Kemal SELVİ | Characterization of cyclic and Abelian groups |

10 |
Fall 2000 |
Serap CANSIZOĞLU | Schubert calculus |

9 |
Fall 2000 |
Yasemin AKSEN | Sharp bounds on Hilbert's nullstellensatz |

8 |
Spring 1999 |
Pelin PASİN | Hilbert polynomials |

7 |
Fall 1998 |
Pelin PASİN | Complete intersection curves in projective space |

6 |
Fall 1997 |
Hamza AYER | Classification of curves in projective space |

5 |
Summer 1997 |
Burhan BİNER | Algebraic curves |

4 |
Spring 1996 |
Orhun KARA | Projective closure of some algebraic sets |

3 |
Fall 1995 |
Orhun KARA | Rational Curves |

2 |
Spring 1995 |
Ali BIÇAK | Riemann-Hurwitz formula |

1 |
Fall 1994 |
Ali BIÇAK | Riemann-Roch theorem for curves |

**Teaching mathematics has a certain
satisfaction in it in general:**

**And this is how I see it in
particular: my teaching
statement**