|
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| Dan Petersen : " Equivariant point counts of involutional hyperelliptic curves"
(2008/Faber).
Graduate student at KTH
|
| Oscar Forsmann : "The Hilbert scheme of points on the projective line"
In this project we study in detail how the Hilbert scheme of points on the
affine line glues to form the Hilbert scheme of points on the projective
line
(2007/Skjelnes).
Graduate student at KTH
|
| Sara Bladh : "An approach to determinants via structure theorems "
We consider an alternative definition of the determinant of a linear map (2007/Laksov).
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| Andreas Holmström : "Harmonic analysis on number fields "
(2005/Faber).
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| David Eklund : "The second fundamental form of a family of surfaces in projective 3-space "
In this project the rank of the second fundamental form of a
particular family of surfaces in three dimensional projective space is
studied (2005/DiRocco).
Graduate student at KTH
|
| Jonas Kiessling : "Cellularity of chain complexes"
We classify cellular classes of chain complexes over artinian local rings whose maximal ideal is principal and of order two
(2005/Chacholski).
Graduate student at KTH
|
| Anton Appelgren :
"On certain maps of invariant rings"
In geometry a canonical map of invariant rings play an interesting role, and
in this project we study the algebraic properties of these maps (2004/Skjelnes).
|
| Christian Lundkvist : "Hilbert's Nullstellensatz and generalizations "
Different versions of Hilbert's Nullstellensatz is considered in this project, in particular versions applicable for not finitely generated algebras (2004/Laksov).
Graduate student at KTH
|
| Oscar Axmon :
"Determinant of an endomorphism"
The determinant we are familiar with, and in this project we study different
approaches to define this important multilinear function (2004/Skjelnes).
|
| Christian Grundh : "Calculating Fourier coefficients of vector valued Siegel modular forms and traces of Hecke operators "
(2003/Faber).
Graduate student at KTH
|
| Johanna Nilsson : "Solutions to pXY+qYX=1 over an arbitrary field "
The solutions of the equation pXY+qYX=1 as square matrices over algebraically closed fields of characteristic different from two are found. This is a continuation of the Master's thesis "Equations over matrix rings" by John Andersson (2003/Boij).
Graduate student at KTH
|
| Dan Sjöstrand :
"Cayley-Hamilton theorem"
In this project we consider several of the many different proofs of the famous Cayley-Hamilton theorem (2003/Laksov).
|
| Fredrik Nordström :
"Recovering a module from its local structure"
In this project we study what information is needed to rebuild the module
from only knowing the information about the stalks around each prime ideal (2003/Skjelnes).
Graduate student at KTH
|
| David Rydh :
"Chow varieties"
The Chow scheme of cycles on projective varieties is considered in this project (2003/Laksov).
Graduate student at KTH
|
| John Andersson :
"Equations over matrix rings"
The solutions of quadratic equations in square matrices over an algebraically closed field of characteristic zero are described and classified (2002/Boij).
Graduate student at KTH
|
| Jonas Bergström :
"Curves of genus three over finite fields"
(2001/Faber).
Graduate student at KTH
|
| Jonas Söderberg :
"Normal forms for matrices"
An alternative normal forms for matrices has been suggested which would give the space of square matrices a nice cell decomposition. This kind of normal forms is studied and proved not to exist in the case of four by four matrices (2001/Boij).
Graduate student at KTH
|
| Magnus Hessel :
"Weyl groups of matrix groups"
The theory of Weyl groups is presented in a purely algebraic manner and some of the aspects of positive characteristic is considered (1998/Boij).
|
| Erik Norhammar :
"Groups, rings and fields"
Here the fundamental algebraic objects are introduced with a didactic point of view (1997/Laksov).
|
| Fredrik Andreasson :
"Nullstellen theorems"
Several Nullstellen theorems and proofs are considered, and in particular versions that hold over non-closed fields (1995/Laksov).
Graduate student at KTH
|
| Mats Boij :
"Modified Linear Recurrence Sequences "
(1990/Laksov).
Graduate student at KTH
|
| Lars Ernström :
" "
(1989/Laksov).
Graduate student at KTH/MIT
|
Karin Westin :
""
Versions of the Nullstellen theorems over non-algebraically closed fields are considered (19xx/Laksov).
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