Past students and projects – University of Copenhagen

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Past students/projects: (Incomplete list)

PhD theses
MSc theses
MSc Projects
BSc theses

PhD theses:

  • Jonas B. Rasmussen (2009, Ian Kiming). PhD Thesis: Higher congruences between modular forms.
  • Esben Bistrup Halvorsen (2007, Hans-Bjørn Foxby). PhD Thesis: Intersection multiplicities and Grothendieck spaces.
  • David Brink (2006, Christian U. Jensen). PhD Thesis: Procyclic Galois extensions of number fields.
  • Tommy B"ulow (2004, Christian U. Jensen). PhD Thesis: Norms of units and 4-rank of class groups.
  • Henrik Holm (2004, Hans-Bjørn Foxby). PhD Thesis: Gorenstein homological algebra.
  • Anders Frankild (2003, Hans-Bjørn Foxby). PhD Thesis: Cohen-Macaulay local rings and Gorenstein differential graded algebras.
  • Lars Winther Christensen (1999, Hans-Bjørn Foxby). PhD Thesis: Functorial dimensions.
  • Arne Ledet (1996, Christian U. Jensen). PhD Thesis: Galois theoretical embedding problems with cyclic kernel of prime order.

MSc theses:

  • Christian Dalbjerg (2012, Ian Kiming). MSc Thesis 
  • Iwan Bonnén (2011, Søren Jøndrup). MSc Thesis: Projektive modules and Serre's conjecture.
  • Maria Danielsen (2011, Søren Jøndrup). MSc Thesis: The free group and the Todd-Coxeter algorithm.
  • Louise Meier Carlsen (2011, Jørn B. Olsson) MSc thesis: Restricted m-stable partitions.
  • Peter Jørgensen (2011, Jørn B. Olsson) MSc thesis: Clifford theory.
  • Lucia Morotti (2011, Jørn B. Olsson) MSc thesis: On p-vanishing and sign conjugacy classes of the symmetric group.
  • Maria Willumsen (2011, Søren Jøndrup). MSc Thesis: Group graduated rings and smash products.
  • Muhamed A. Al-Humaid (2010, Christian U. Jensen). MSc Thesis: The Hilbert irreducibility theorem and applications.
  • Kåre Schou Gjaldbæk (2010, Ian Kiming). MSc Thesis: Higher ramification groups and the Artin conductor. (Awarded the 2010 Danish Mathematical Society Master's Thesis Prize.)
  • Rabia Jeelani (2010, Christian U. Jensen). MSc Thesis: Explicit Galois representations of the symmetric and alternating groups.
  • Tobias Olsen (2010, Jørn B. Olsson). MSc Thesis: Character degrees.
  • Allan Mathorne Rasmussen (2010, Christian U. Jensen). MSc Thesis: Galois groups for a class of Taylor polynomials. 
  • Christine Wikkelsø (2010, Jørn B. Olsson). MSc Thesis: On $(s,t)$-core partitions. 
  • Bogi Lenvig (2009, Christian U. Jensen). MSc Thesis: The Galois group for a class of Taylor polynomials.
  • Rune Odin (2009, Jørn B. Olsson). MSc Thesis: Character isomorphisms in finite groups. 
  • Line Thøgersen (2009, Christian U. Jensen). MSc Thesis: The theorem of Frobenius-Dedekind.
  • Tanja Tofteby (2009, Søren Jøndrup). MSc Thesis: Rings of finite representation type.
  • Line F. Sprogø (2009, Søren Jøndrup). MSc Thesis: Serre's conjecture.
  • Rune Harder Bak (2009, Ian Kiming). MSc Thesis: On $\ell$-adic Galois representations associated to modular forms.
  • Lasse Arnsdorf Pedersen (2009, Ian Kiming). MSc Thesis: Primality testing via elliptic curves.
  • Akemi Kuronuma Lauritzen (2009, Ian Kiming). MSc Thesis: Classification of torsion subgroups of elliptic curves.
  • Mette Nørregård (2009, Ian Kiming). MSc Thesis: Skolem's method applied to Thue's theorem and Ramanujan's conjecture.
  • Christine Søndergaard (2009, Ian Kiming). MSc Thesis: The Diophantine equation $b^2 X^4 - D Y^2 = 1$.
  • Kira Janstrup (2009, Jørn B. Olsson). MSc Thesis: On $\ell$-core partitions and generalizations.
  • Marie Lund Christophersen (2009, Anders Thorup). MSc Thesis: Generalized QR codes. 
  • Kristoffer Grue Jensen (2008, Søren Jøndrup). MSc Thesis: P.I. algebras.
  • Kasper Maes (2008, Jørn B. Olsson). MSc Thesis: Partition identities.
  • Jon Pedersen (2008, Jørn B. Olsson). MSc Thesis: W. F. Reynolds' theorem on isometries between $p$-blocks.
  • Petur Birgir Petersen (2007, Anders Thorup). MSc Thesis: Reed-Solomon codes and finite fields.
  • Peter Frederik Lyon (2007, Anders Thorup). MSc Thesis: Cyclotomic polynomials and Dirichlet characters.
  • Kamilla Drimer Berg, Louise Bøtcher Meyer (2007, Christian U. Jensen). MSc Thesis: Schur's theorem on the determination of Galois groups.
  • Morten Jacob Nesgaard (2007, Christian U. Jensen). MSc Thesis: Hilbert's ramification theory for Galois extensions and applications.
  • Lasse Breining Sluth (2007, Christian U. Jensen). MSc Thesis: Applications of class field theory on Galois theoretic problems.
  • Kim Larsen (2007, Jørn B. Olsson). MSc Thesis: Irreducible character degrees.
  • Lars Elmegaard-Fessel (2006, Anders Thorup). MSc Thesis: Efficient scalar multiplication and security against power analysis in cryptosystems based on the NIST elliptic curves over prime fields.
  • Mikkel Ruben Falsled (2006, Anders Thorup). MSc Thesis: There are infinitely many Carmichael numbers.
  • Pia Østergaard Mikkelsen, Mikael Thinggaard (2006, Christian U. Jensen). MSc Thesis: Quadratic forms and quaternion groups.
  • Anders Rehfeld (2006, Ian Kiming). MSc Thesis: Catalan's conjecture. A Diophantine problem.
  • Katrine Juul Christiansen (2006, Ian Kiming). MSc Thesis: Point counting on elliptic curves over $\F_p$.
  • Morten Schrøder Larsen (2006, Ian Kiming). MSc Thesis: Galois representations and modular forms.
  • Kristian Brander (2006, Ian Kiming, Main advisor: Tom Høholdt). MSc Thesis: An optimal unramified tower of algebraic function fields.
  • Ahmet Tas (2006, Ian Kiming). MSc Thesis: Billing's upper bound on the rank of elliptic curves with applications.
  • Tine Rahbek Krog (2006, Ian Kiming). MSc Thesis: Baker's method in connection with Thue's equation.
  • Rikke Eie (2006, Jørn B. Olsson). MSc Thesis: A generalization of the partition concept.
  • Line Svensson (2006, Jørn B. Olsson). MSc Thesis: Brauer's induction theorem and applications. 
  • Henrik Friis Christensen (2005, Ian Kiming). MSc Thesis: The Artin conjecture and modular forms of weight 1.
  • Jonas Bjørn Rasmussen (2005, Ian Kiming). MSc Thesis: Serre's conjectures and the theorem of Ribet.
  • Anders Kølvraa (2005, Ian Kiming). MSc Thesis: Eichler-Shimura congruences.
  • Anna Arnth-Jensen (2005, Ian Kiming). MSc Thesis: Rank calculations and 2-descents for a class of elliptic curves.
  • Anette Nielsen (2005, Ian Kiming). MSc Thesis: Mordell's theorem.
  • Jakob Neesgård (2005, Jørn B. Olsson). MSc Thesis: Character theory for the symmetric groups with applications.
  • Henning Røigaard (2005, Jørn B. Olsson). MSc Thesis: Existence of $e$-cores and their number for a given $n$.
  • Mads Kristian Christensen (2004, Anders Thorup). MSc Thesis: Quadratic residues and QR codes.
  • Sune Nørgård-Sørensen (2004, Ian Kiming). MSc Thesis: Elliptic curves with complex multiplication and abelian extensions.
  • Bende Sylvan (2004, Ian Kiming). MSc Thesis: Minkowski units and Brumer's theorem.
  • Morten O. Hansen (2003, Søren Jøndrup). MSc Thesis: Category theory with applications to ring and module theory.
  • Dennis Pipenbring (2003, Jørn B. Olsson). MSc Thesis: Dimensions in finite symmetric groups.
  • David Brink (2002, Christian U. Jensen). MSc Thesis: Unramified non-abelian extensions of quadratic number fields.
  • Kirsten Rosenkilde Kristensen (2002, Christian U. Jensen). MSc Thesis: Local class field theory and maximal $p$-extensions of local fields.
  • Christian Ravnshøj (2002, Jørn B. Olsson). MSc Thesis: Modularity in finite groups. 
  • Rune Munk (2002, Anders Thorup). MSc Thesis: Primality testing and the generalized Riemann hypothesis.
  • Tommy B"ulow (2001, Christian U. Jensen). MSc Thesis: The negative Pell equation.
  • Karina Vinter Ludvigsen (2001, Søren Jøndrup). MSc Thesis: Classical rings of quotients for non-commutative rings.
  • Bitten Grove Poulsen (2001, Søren Jøndrup). MSc Thesis: Krull and global dimension of the Weyl algebra.
  • Peder Frederiksen (2001, Ian Kiming). MSc Thesis: Calculation of Artin conductors.
  • Frederik Berg-Munch (2000, Jørn B. Olsson). MSc Thesis: The Rogers-Ramanujan identities.
  • Kresten Bremer (2000, Jørn B. Olsson). MSc Thesis: On the class number for finite groups.
  • Peter Ebbesen (1999, Christian U. Jensen). MSc Thesis: Embedding of a quadratic extension into an extension of degree 8.
  • Karen Mohr Pind (1999, Christian U. Jensen). MSc Thesis: Groups of order <= 20 and their realization as Galois groups over Q.
  • Asger Grunnet (1999, Jørn B. Olsson) MSc Thesis: Glauberman's $Z^*$ theorem.
  • Hans Henrik Steen (1999, Jørn B. Olsson). MSc Thesis: Davenport's constant. 
  • Lars H. Laustsen (1999, Anders Thorup). MSc Thesis: Grothendieck's quot-scheme.
  • Morten Lund Madsen (1998, Christian U. Jensen). MSc Thesis: The symmetric and alternating groups realized over Q.
  • Kåre Madsen (1996, Jørn B. Olsson). MSc Thesis: A conjecture of Frobenius.

MSc Projects:

  • Christian Dalbjerg (2011, Christian U. Jensen) MSc project: Quaternion extensions.
  • Alexander Fick, Ditte Kith Thomsen (2011, Christian U. Jensen) MSc project.
  • Mads Bertram Højland Gath (2011, Jørn B. Olsson). MSc project: Brauer's Theorem.
  • Helle Edfort Petersen (2011, Jørn B. Olsson) MSc project: Basic Clifford theory. 
  • Christian Dalbjerg (2010, Ian Kiming). MSc Project: Higher ramification groups and the theorem of Hasse-Arf.
  • Peter Jørgensen (2010, Jørn B. Olsson). MSc Project:  Subnormal subgroups.
  • Lucia Morotti (2010, Ian Kiming). MSc Project: Mordell's theorem via Selmer groups.
  • Iwan Bonnén (2010, Søren Jøndrup). MSc Project: Dedekind rings and structure of projective modules.
  • Maria B. Willumsen (2010, Søren Jøndrup). MSc Project: Prüfer rings.
  • Eske Sparsø (2010, Ian Kiming). MSc Project: Modular mod $\ell$ Galois representations.
  • Tobias Olsen (2010, Jørn B. Olsson). MSc Project: Classification of certain classes of $p$-groups. 
  • Muhamed Al-Humaid (2009, Christian U. Jensen). MSc Project: Galois groups of polynomials of degree at most 5.
  • Kåre Schou Gjaldbæk (2009, Ian Kiming). MSc Project: Elliptic curves.
  • Kira Janstrup, Louise Meier Carlsen (2009, Jørn B. Olsson). MSc Project: Cores of partitions.
  • Kasper Maes (2009, Jørn B. Olsson). MSc Project: Congruences for the partition function and the refined partition function.
  • Rune Odin (2009, Jørn B. Olsson).MSc Project: Character tables for linear groups of degree 2.
  • Christine Wikkelsø (2009, Jørn B. Olsson). MSc Project: Analogous constructions for Young tableaux and involutions. 
  • Andreas Wadhwa (2008, Christian U. Jensen). MSc Project: The Frobenius density theorem and applications in Galois theory.
  • Bogi Lenvig (2008, Christian U. Jensen). MSc Project: Classification of $Q_8$-extensions.
  • Kristoffer Grue Jensen (2008, Søren Jøndrup). MSc Project: Classes of rings.
  • Mette E. Larsen (2008, Søren Jøndrup). MSc Project: Decomposition of modules over Dedekind rings and decomposition of projective modules.
  • Tanja Tofteby (2008, Søren Jøndrup). MSc Project: Commutative rings of finite representation type.
  • Line F. Sprogø (2008, Søren Jøndrup). MSc Project: Semiperfect rings, Dedekind rings, and the prime spectrum of a ring.
  • Christine Søndergård (2008, Søren Jøndrup). MSc Project: Regular local rings are UFD.
  • Mette Nørregård (2008, Ian Kiming). MSc Project: Theorem of Billing-Mahler.
  • Christine Søndergaard (2008, Ian Kiming). MSc Project: Binary quadratic Diophantine equations.
  • Sara Arklint (2007, Christian U. Jensen). MSc Project: Derived functors of inverse limites and applications to module theory.
  • Line Thorup (2007, Ian Kiming). MSc Project: The AKS primality test.
  • Lasse Arnsdorf Pedersen (2007, Ian Kiming). MSc Project: The Agrawal-Kayak-Saxena primality test.
  • Lasse Breuning Sluth (2007, Jørn B. Olsson). MSc Project: Group cohomology with applications to group theory.
  • Nicolai Svendsen (2007, Jørn B. Olsson). MSc Project: The Frobenius-Schur indicator.
  • Katrine Juul Christiansen (2006, Ian Kiming). MSc Project: Classification of rational torsion groups on elliptic curves.
  • Kim Larsen (2006, Jørn B. Olsson). MSc Project: Introduction to Brauer characters.
  • Jon Pedersen (2006, Jørn B. Olsson). MSc Project: T.I. sets and exceptional characters - Isometries between sets of characters.
  • Kasper Maes (2005, Ian Kiming). MSc Project: Continued fractions and an application.
  • Petur Birgir Petersen (2005, Ian Kiming). MSc Project: Continued fractions and applications to factorization of integers.
  • Christine Brygger Andreasen (2005, Ian Kiming). MSc Project: Elliptic curves with torsion groups isomorphic to $\Z/2n \times \Z/2$.
  • Tine Rahbek Krog, Allan Mathorne Rasmussen (2005, Ian Kiming). MSc Project: Classification of cyclic torsion groups of even order on rational elliptic curves.
  • Morten Jacob Nesgaard (2005, Ian Kiming). MSc Project: Classification of torsion subgroups of rational points on elliptic curves.
  • Sandra Müller, Stefanie Zweifel (2005, Ian Kiming). MSc Project: Theorem of Billing and Mahler.
  • Jes Kamstrup Hansen (2005, Ian Kiming). MSc Project: Factorization via continued fractions.
  • Ahmet Tas (2005, Ian Kiming). MSc Project: Factorization via continued fractions.
  • Jacob Neesgård (2005, Ian Kiming). MSc Project: Factorization via continued fractions.
  • Rikke Eie (2005, Ian Kiming). MSc Project: Factorization via continued fractions.
  • Lars Elmegaard-Fessel (2005, Ian Kiming). MSc Project: Factorization via continued fractions.
  • Kamilla Drimer Berg, Louise Bøtchier Meyer (2005, Jørn B. Olsson). MSc Project: The number of Hall subgroups in finite groups.
  • Rikke Eie, Tine Rahbek Krogh (2005, Jørn B. Olsson). MSc Project: The Mullineux map and Mullineux's conjecture.
  • Kasper Maes (2005, Jørn B. Olsson). MSc Project: Hooks in skew Young diagrams.
  • Pia Østergaard Mikkelsen og Mikael Thinggaard (2004, Christian U. Jensen). MSc Project: The Hilbert irreducibility theorem and applications.
  • Henrik Friis Christensen, Anders Rehfeld (2004, Ian Kiming). MSc Project: Factorization - the quadratic sieve method.
  • Sune Nørgård-Sørensen (2004, Ian Kiming). MSc Project: Binary quadratic forms and a surprising correspondence.
  • Anders Kølvraa (2004, Ian Kiming). MSc Project: The weak Mordell-Weil Theorem.
  • Anna Arnth-Jensen (2004, Ian Kiming). MSc Project: Classification of elliptic curves.
  • Rikkelara Nielsen (2004, Jørn B. Olsson). MSc Project: Partition congruences with involution.
  • Henning Røigaard (2004, Jørn B. Olsson). MSc Project: Idempotents, pointed groups, and a generalization of Sylow's theorems. 
  • Jonas B. Rasmussen (2003, Christian U. Jensen). MSc Project: Profinite groups and Galois theory.
  • Esben Wendt Lorenzen (2003, Ian Kiming). MSc Project: Kummer's theorem. A proof of Fermat's last theorem for regular exponents.
  • Helle Hovmand-Hansen, Eva Willerslev (2002, Jørn B. Olsson). MS Project: Young tableaux and permutations with generalizations.
  • Mads Kristian Christensen (2001, Jørn B. Olsson) MS Project: The number of Sylow subgroup in a finite group.
  • Calina Fuglsang-Damgaard (2001, Jørn B. Olsson). MSc Project: Lattice properties for subnormal and $p$-subnormal subgroups.
  • Christian Ravnshøj (2001, Jørn B. Olsson). MSc Project: Fusion and $p$-factor-groups.
  • Majbritt Felleki, Bende Sylvan (2001, Jørn B. Olsson). MSc Project: Block theory.
  • Frederik Berg-Munch (1998, Jørn B. Olsson). MSc Project: Combinatorial aspects of the Mullineux map.
  • Kresten Bremer (1998, Jørn B. Olsson). MSc Project: Glaubermans $ZJ$ theorem with an application.
  • Steen Henriksen, Frederik Berg-Munch (1997, Jørn B. Olsson). MSc Project: Representations of symmetric groups.

BSc theses::

  • Roger Ten (2011, Ian Kiming). BSc Thesis: A proof of Billing-Mahler's theorem. 
  • Rasmus Pihl (2011, Ian Kiming). BSc Thesis: Galois theory for polynomials of low degree. 
  • Thomas Buron Glinski (2010, Ian Kiming). BSc Thesis: Primality testing via elliptic curves. 
  • Helene Juncher (2010, Ian Kiming). BSc Thesis: $p$-adic numbers.
  • Tina Lysholm Hansen (2010, Ian Kiming). BSc Thesis: On $p$-adic numbers and the Hasse-Minkowski theorem on rational quadratic forms.
  • Martin Frank Hansen (2010, Ian Kiming). BSc Thesis: Continued fractions.
  • Alexander Fick (2010, Ian Kiming). BSc Thesis: The AKS primality test.
  • Asger Brix Jensen (2010, Ian Kiming). BSc Thesis: Factorization via continued fractions.
  • Ditte Kith Thomsen (2010, Jørn B. Olsson) BSc Thesis: Some classes of finite $p$-groups. 
  • Kristoffer Kjær (2009, Ian Kiming). BSc Thesis: A proof of Mordell's theorem via Selmer groups.
  • Eske Sparsø (2009, Ian Kiming). BSc Thesis: Elliptic curves and Selmer groups.
  • Christian Overgaard Lund (2009, Ian Kiming). BSc Thesis: Weak Mordell via the theory of Selmer groups.
  • Mads Bertram Højland Gath (2009, Jørn B. Olsson). BSc Thesis: Frobenius groups.
  • Runa Jacobsen (2009, Jørn B. Olsson). BSc Thesis: Free groups.
  • Lars Roholm (2008, Søren Jøndrup). BSc Thesis: Representations theory of finite groups.
  • Martin Wedel Jacobsen (2008, Ian Kiming). BSc Thesis: The theorem of Hasse-Minkowski for rational quadratic forms.
  • Tobias Olsen (2008, Jørn B. Olsson). BSc Thesis: Permutation groups.
  • Toke Nørgård Sørensen (2007, Søren Jøndrup). BSc Thesis: Commutative noetherian rings.
  • Taus Brock-Nannestad, Therese Graversen (2007, Jørn B. Olsson). BSc Thesis: The Robinson-Schensted correspondence.
  • Kristoffer Grue Jensen (2007, Jørn B. Olsson). BSc Thesis: Group actions.
  • Mona Thorup Kildetoft, Helle Edfort Petersen (2007, Jørn B. Olsson). BSc Thesis: Free groups and presentations.
  • Henrik Densing Pedersen (2006, Ian Kiming). BSc Thesis: Torsion points on elliptic curves.
  • Kira Janstrup, Louise Licht Nielsen (2006, Jørn B. Olsson). BSc Thesis: Free groups.
  • Sara Arklint (2005, Christian U. Jensen). BSc Thesis: Profinite Galois theory.
  • Jonas B. Rasmussen (2004, Christian U. Jensen). BSc Thesis: Realization of the quaternion group as Galois group.
  • Niels Vorgaard Christensen (2004, Jørn B. Olsson). BSc Thesis: Free groups and presentations of groups. 
  • Mikkel Porse Rasmussen (2003, Ian Kiming). BSc Thesis: Factorization via the method of continued fractions.
  • Lars Bojsen-Møller (2003, Ian Kiming). BSc Thesis: The Pohlig-Hellman algorithm for determining discrete logarithms and its application in cryptology.
  • Christine Brygger Andersen, Jesper Jørgensen (2003, Jørn B. Olsson). BSc Thesis: General representation theory and representation
    theory for $S_n$.
  • Troels Windfeldt Hansen (2002, Ian Kiming). BSc Thesis: On Rene Schoof's algorithm.
  • Mai Ajspur (2002, Jørn B. Olsson). BSc Thesis: Representation theory for symmetric groups.
  • Rune Odin, Dennis Pipenbring (2001, Jørn B. Olsson). BSc Thesis: Representations of $S_n$.