From 2012 to 2017, I was half-time centre administrator and half-time postdoc at the Centre for Symmetry and Deformation, University of Copenhagen. I took my PhD at the Department of Mathematical Sciences, University of Copenhagen under the supervision of Søren Eilers, and the public defense of my PhD thesis took place March 16, 2012.
My research is concerned with classification of nonsimple C*-algebras. So far I've been focusing on the classification functor filtered K-theory, and on the classification and structure of Cuntz-Krieger algebras and graph algebras.
| Research CV | Updated 2020/11 |
| Mobile phone | (+45) 30 13 27 68 (private) |
| Home address | Hiort Lorenzens Gade 2, 4.th 2200 København N Denmark |
[*] A tribute to K_0(-;Z/n), Master's thesis, Department of Mathematical Sciences, University of Copenhagen, 2008. PDF.
[**] Classification of nonsimple C*-algebras of real rank zero, PhD thesis, Department of Mathematical Sciences, University of Copenhagen, 2012. PDF.
[1] (with G. Restorff and E. Ruiz) Filtrated K-theory for C*-algebras of real rank zero, Internat. J. Math., Vol. 23, No. 8, 2012, 19pp. arXiv:1112.1361.
[2] (with R. Bentmann and T. Katsura) Reduction of filtered K-theory and a characterization of Cuntz-Krieger algebras, J. K-Theory 14, no. 3 (2014), 570-613.. arXiv:1301.7223.
[3] (with E. Ruiz) Corners of Cuntz-Krieger algebras, Trans. Amer. Math. Soc. 367 (2015), 7595-761 arXiv:1209.4336.
[4] Do phantom Cuntz-Krieger algebras exist?, Operator Algebra and Dynamics, Springer Proceedings in Mathematics & Statistics, Vol. 58, 2013. arXiv:1210.6515.
[5] (with R. Bentmann and T. Katsura) The K-theoretical range of Cuntz-Krieger algebras, J. Funct. Anal. 266 (2014), 5448-5466. arXiv:1309.7162
[6] (with J. Gabe and E. Ruiz) Hereditary C*-subalgebras of graph C*-algebras. J. Operator Theory 84 (2020), 99-126. arXiv:1604.03085
[7] (with G. Restorff and E. Ruiz) Classication of real rank zero, purely infinite C*-algebras with at most four primitive ideals. J. Funct. Anal. 271 (2016), 1921-1947. arXiv:1405.0672
[8] (with S. Eilers and E. Ruiz) A dynamical characterization of diagonal preserving *-isomorphisms of graph C*-algebras. Ergodic Theory Dynam. Systems 38 (2018), 2401-2421. arXiv:1605.01202
[9] The K-theoretical range of unital graph C*-algebras. In preparation.
[10] (with S. Eilers and E. Ruiz) Geometric classification of of isomorphism of unital graph C*-algebras. Submitted. arXiv:1910.11514
Classification of non-simple purely infinite C*-algebras, University of Copenhagen, July 22-26, 2013. Webpage includes lecture notes.
Aug 23, 2017: Workshop: K-theory in topology and non commutative geometry, HIM Bonn.
Jan 6, 2017: Danish-Norwegian Operator Algebra Workshop, Lysebu.
Nov 22, 2016: Structure and Classification of C*-algebras, Institute of Mathematics of the Polish Academy of Sciences.
Sep 27, 2016: Analysis seminar, University of Glasgow.
May 26, 2016: Colloquium of the doctorate program Mathematische Strukturen in der modernen Quantenphysik, University of Göttingen
Feb 25, 2016: Workshop Classification and dynamical systems I: C*-algebras, Institute Mittag-Leffler
Jan 29, 2016: Workshop Classification and discrete structures, Institute Mittag-Leffler
Apr 20, 2015: Workshop on C*-algebras: Structure and Classification, University of Münster
Dec 10, 2014: Danish-Norwegian Operator Algebra Workshop, Lysebu
Sep 2, 2014: Classification, STructure, Amenability and Regularity (C Star), University of Glasgow
Jul 3, 2014: Workshop on the Interactions between Operator Algebras & Dynamical Systems, University of Wollongong
Dec 12, 2013: Danish-Norwegian Operator Algebra Workshop, Schæffergården
Nov 26, 2013: SFB Miniworkshop on C*-Algebras, C*-Bundles, and Group Actions, University of Münster
Jun 13, 2013: 26th Nordic Congress of Mathematicians, Lund University
May 31, 2013: Canadian Operator Symposium (COSy), Fields Institute
May 24, 2013: Great Plains Operator Theory Symposium (GPOTS), UC Berkeley
Nov 1, 2012: C*-Algebras, Dynamics, and Classification, Mathematisches Forschungsinstitut Oberwolfach
May 18, 2012: Operator Algebra and Dynamics, NordForsk Network Closing Conference, University of the Faroe Islands
Mar 16, 2012: PhD defense, University of Copenhagen
Sep 16, 2011: NordForsk Network Junior Workshop: Operator Algebra and dynamics, University of Copenhagen
May 25, 2011: Canadian Operator Symposium (COSy), University of Victoria
May 19, 2011: Great Plains Operator Theory Symposium (GPOTS), Arizona State University
Sep 22, 2010: Workshop on classification of amenable C*-algebras, Banff International Research Station