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Maria Ramirez-Solano PhD student at the Department of Mathematical Sciences of the University of Copenhagen.
Contact information
I am organizing a conference during the third week of September 2012. Click here for more information, and to register if you would like to attend it. I am a PhD student in mathematics at the University of Copenhagen. My research interests lie within the borderlines of differential geometry and non-commutative geometry. I am currently researching the use of spectral triples in C*-algebras and other methods from non-commutative geometry to investigate certain features of fractal geometry, and the structure of tilings of the plane. The natural non-smoothness of fractals could for example be overcome by employing spectral triples to measure distances and volumes of such objects. Furthermore I plan to investigate the spectrum of quasiperiodic Hamiltonians and if we can apply the theory of quasicrystals to circle packings. There are visible analogies between aperiodic tilings and circle packings in the plane, sphere or hyperbolic disk, and I would also like to investigate the possibilities to study equivalence classes of circle packings as non-commutative spaces as it has been done in connection with the study of quasicrystals and the quantum Hall effect. Member of the Non-Commutative Geometry group and the Centre for Symmetry and Deformation. Advisor: Erik Christensen Teaching:
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