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.

  
It is fun outside class too!

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

57
 Fall 2022
 Onur KORKMAZ
 Hodge decomposition of complex manifolds
56
 Fall 2021
 Demir EKEN
 Torelli problem
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

 

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