Students

Ph.D. students

• Henning Olai Milhøj. Thesis title: Quasitraces, Tracial States, and Kaplansky’s Conjecture. July 2022.

• Clemens Borys (co-supervisor: Magdalena Musat). Thesis title: Groups, Actions, and C*-algebras. October 2020.

• Rasmus Sylvester Bryder (co-supervisor: Magdalena Musat). Thesis title: Boundaries, injective envelopes, and reduced crossed products. October 2017.

• Martin Søndergaard Christensen. Thesis title: Regularity of C*-algebras and central sequence algebras. October 2017.

• Eduardo Scarparo. Thesis title: Partial actions, paradoxicality and topological full groups. August 2017.

• Matias Lolk Andersen. Thesis title: Dynamical systems and algebras associated with separated graphs. June 2017.

• Hannes Thiel. Thesis title: On dimension and shape theory for C*-algebras. 2012.

• Adam Sierakowski. Thesis title: Discrete crossed product C*-algebras. 2009.

• Randi Rohde. Thesis title: K₁-injectivity of C*-algebras. 2009.

• Jacob v. B. Hjelmborg. Thesis title: On stability and pure infiniteness of C*-algebras. 2000.

• Jakob Mortensen. Thesis title: Classification of certain non-simple C*-algebras. 1996.

Speciale studerende (Master thesis students)

• Viktoria Woergaard Løgstrup. Thesis title: Stable rank of group C*-algebras. January 2025.

• Frederik Brandt. Thesis title: Exactness of groups and amenability at infinity. July 2022.

• Jonathan Solovej. Thesis title: Classifying C*-simplicity of Discrete Groups - A Dynamical Approach. April 2022.

• Stavros Alfieris. Thesis title: AF-Embeddability: An existence and a classification result. June 2021.

• Henning Olai Milhøj. Thesis title: Quasidiagonality, AF-embeddability and the Blackadar-Kirchberg conjecture. August 2018.

• Mikkel Munkholm. Thesis title: Quasidiagonality of Nuclear C*-algebras. March 2017.

• Christine Broby Nielsen. Thesis title: The Kadison-Singer Conjecture. March 2017.

• Tenna Nielsen. Thesis title: Property (T) for groups and von Neumann algebras. 2016.

• Rasmus Sylvester Bryder (co-supervisor: Magdalena Musat). Thesis title: Simplicity and uniqueness of trace for reduced group C*-algebras. 2014.

• Martin Søndergaard Christensen. Thesis title: On the structure of simple nuclear C*-algebras: The Toms-Winter conjecture. 2014.

• Matias Lolk Andersen. Thesis title: Universal algebras and dynamical systems associated with separated graphs. 2014.

• Marcus Dorph de Chiffre (co-supervisor: Magdalena Musat): Thesis title: Quasidiagonality of group C*-algebras. 2013.

• Peter Bech Møller Sørensen. Thesis title: On almost commuting operators and matrices. 2012.

• Adam Sierakowski. Thesis title: Transformation groups and C*-algebras. 2007.

• Randi Rohde. Thesis title: Selv-absorberende C*-algebraer (Self-absorbing C*-algebras). 2006.

• Martin Grensing. Thesis title: The exact embedding theorem. 2005.

• Katharina Jeglin. Thesis title: Embedding C*-algebras into O₂. 2005.

• Christian Laasby Nielsen. Thesis title: Quasidiagonality and AF-embeddability. 2003.

• Søren Boel. Thesis title: Crossed Products and Cantor Systems. 2001.

• Mikkel Møller Larsen. Thesis title: On the isomorhpism O₂ isomorphic to (O₂ tensor O₂). 2000.

• Jacob v. B. Hjelmborg. Thesis title: Stability and C*-algebras arising from graphs. 1998.

• Jan Bunkenborg. Thesis title: Næsten kommuterende operatorer (Almost commuting operators). 1998.

• Lone Josephsen. Thesis title: Automorfier på AF-algebraer (Automorphisms on AF-algebras). 1994.

• Jakob Mortensen. Thesis title: A note on the classification of certain C*-algebras. 1994.

• Mette Dreier Jensen. Thesis title: De irrationale rotations C*-algebraer (The irrational rotation C*-algebras). 1993.

• Jakob Sprogø Jakobsen. Thesis title: K-teori af Cuntz' C*-algebraer (The K-theory of the Cuntz C*-algebras). 1992.

Fag projekter (Graduate course projects)

• Viktoria Woergaard Løgstrup. Title: Introduction to free probability theory. 2024.

• Johanna Maria Kirss. Title: The Dixmier Property. 2024.

• Viktoria Woergaard Løgstrup and Nadja Enggaard Lausen. Title: Quantum correlations, C*-algebras and Tsirelson's conjecture. 2024

• Henning Olai Milhøj. Title: AF-algebras and their invariants. 2018.

• Mikkel Munkholm. Title: On Quasidiagonal C*-algebras. 2016.

• Jan Ulrich Lauridsen. Title: The functor K₀ and Classification of AF-algebras. September 2013.

• Matias Lolk Andersen. Title: The Pimsner-Voiculescu Sequence. January 2013.

• Martin Christensen. Title: Kirchberg's Theorems and Purely Infinite C*-algebras. January 2013.

• Benjamin Randeris Johansen. Title: Dynamical systems and C*-algebras. June 2012.

• Henrik Holm and Mikkel Møller Larsen. Title: En introduktion til BDF-teori (An Introduction to BDF-theory), June 1999.

• Lars Hansen. Title: Kontinuerte felter, krydsprodukter og K-teori (Continuous Fields, Crossed Products, and K-theory), April 1999.

Bachelor projekter (B.Sc. projects)

• Emilie Wessel Søgaard. Title: Differentiation and the Lebesgue-Radon-Nikodym theorem. June 2020.

• Anne Katrine Nedergaard Mouritsen. Title: Lebesgue measure on R^n and the Haar measure on locally compact groups. January 2019.

• Jonathan Solovej. Title: Commutative Banach Algebras. June 2018.

• Stig Eilsøe-Madsen. Title: Some classical C*-algebras and their classification. June 2017.

• Malthe Munk Karbo. Title: Simplicity and uniqueness of trace of group C*-algebras. January 2017.

• Michael Staal-Olsen. Title: The Poulsen simplex. 2015.

• Mikkel Munkholm. Title: Fixed point theorems. June 2014.

• Børge Laursen. Title: Eksistens af Haar-mål på lokalt kompakte grupper. (Existence of Haar measure on locally compact groups). 2014.

• Sanne Winther and Line Kühnel. Title: Amenable groups. 2013.

• Tanja Rosenberg Nielsen. Title: Supramenable grupper (Supramenable groups). 2013.

• Niels Aske Lundtorp Olsen. Title: Haarmålet og repræsentationer af kompakte grupper (The Haar measure and representations of compact groups). 2012.

• Andreas Midjord. Title: The existence of non-Borel sets. 2012.

• Matias Lolk Andersen. Title: The reduced C*-algebra of a discrete group. 2011.

• Amalie Høgenhaven and Karen Bakke Haga. Title: Amenable groups and the Roe algebra. 2011.

• Kang Li. Exact C*-algebras. 2010.

• Christian Dalbjerg. Title: Lindström's Theorem on Logical Systems. 2009.

• Søren Knudby. Title: The Banach-Tarski paradox. 2009.

• Adam P. W. Sørensen. Title: Banach-Tarski Paradokset (The Banach-Tarski paradox). 2007.

• Adam Sierakowski and Troels Steenstrup Jensen. Title: Irrationale og rationale rotations C*-algebraer (Irrational and rational rotation C*-algebras). 2004. zip fil - PDF fil, del I - PDF fil, del II.

• Randi Rohde and Martin Ehmsen. Konveksitet i funktionalanalyse (Convexity in functional analysis). 2004.

• Steffen M. Iversen (co-advisor: Jessica Carter). Title: Matematisk ontologi belyst ved Hilbertrum. 2003.

• Thomas P. Maarup (co-advisor: Jessica Carter). Title: Matematiske objekters ontologiske status med udgangspunkt i mængdelæren. 2003.

• Mads Kjærulf Caspersen and David Kyed. Title: Banach-Tarski's paradoks (The Banach-Tarski Paradox). 2002.

• Rasmus Lerchedahl Petersen and Jacob Thamsborg (co-advisor Lars Birkedal). Title: Constructing a Non-Trivial Model for the Untyped Non-Extensional Lambda Calculus. 2001.

• Abbas Nik. Title: Gödel's incompleteness theorem. 2001.

• Bodil Biering. Standsningsproblemet og Gödel's ufuldstændighedssætninger. 2000.

• Emiko A. H. Dupont and Noah Torp-Smith. Title: Logic and Incompleteness. 2000.

• Christian Ravnshøj and Christian Ivar Westergaard. Title: Gödel's ufuldstændighedssætning (Gödel's incompleteness theorem). 2000.

• Lars Hougaard Hansen and Esben Bistrup Halvorsen. Title: The Banach-Tarski Paradox and Tarski's Theorem. 2000.

• Helle Fjordbøge and Nina Bohr. Title: Gödel's ufuldstændighedsbevis (Gödel's incompleteness theorem). 1999.

• Jeppe Knudsen. Title: 3., 4. og 5.-gradsligningerne (The equations of degrees 3, 4 and 5). 1997.

• Allan Sørensen (co-advisor: Sergey Merkulov). Title: Cyclotomiske legemer (Cyclotomic Fields). 1994.

• Jacob v. B. Hjelmborg. Title: Banach-Tarski's Sætning og Mængdelære (Banach-Tarski's theorem and set theory). 1993.

• Tina Sneholm Andersen, Lone Josephsen and Inge Sørensen. Title: Galois teori - 3., 4. og 5. gradsligningen. (Galois theory - the equations of degrees 3, 4 and 5). 1992.

• Anders Yeo. (co-advisor: Henrik Gordon Petersen). Title: Optimalt spil i Blackjack (Optimal strategy in Black Jack). 1992.