The PhD defence will be partially digital, in room 720, Niels Henrik Abels hus and streamed directly using Zoom. The host of the session will moderate the technicalities while the chair of the defence will moderate the disputation.
Ex auditorio questions: the chair of the defence will invite the audience to ask questions ex auditorio at the end of the defence. If you would like to ask a question, click 'Raise hand' and wait to be unmuted.
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Join the disputation
The webinar opens for participation just before the disputation starts, participants who join early will be put in a waiting room.-
Submit the request to get access to the thesis (available from 25th March 12:15 until 8th April 12:15)
Trial lecture
7th of April, time: 11.15 am, room 720 and Zoom
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Join the trial lecture
The webinar opens for participation just before the trial lecture starts, participants who join
early will be put in a waiting room.
Main research findings
One of the biggest open problems in Complex Geometry is whether every open Riemann Surface admits a proper holomorphic embedding into the 2-dimensional euclidean complex space, as this provides a good representation of it.
We constructed examples of this representation for certain Riemann Surfaces that were thought to be good candidates for a counterexample, namely complements of large Cantor sets inside the Riemann sphere. A previous paper provided the desired representation for the same object; here we pointed out that from that construction it turns out that the resulting Cantor set is actually very thin.
Another important result contained in the thesis is the simultaneous construction of the above representation for a whole family of domains inside the Riemann sphere.
Holomorphic embeddings (non-proper) are studied in terms of approximation as well: we give sufficient conditions on domains inside euclidean complex spaces to approximate such mappings on the given domains with similar mappings with dense images. We finally extend this result to more general settings, presenting three further theorems.
Adjudication committee
Professor Barbara Drinovec Drnovšek, University of Ljubljana
Associate Professor Per Erik Manne, NHH Norwegian School of Economics
Professor Emeritus Erik Løw, University of Oslo
Supervisors
Associate Professor Trung Tuyen Truong, University of Oslo
Professor Erlend Fornæss Wold, University of Oslo
Chair of defence
Professor Nadia S. Larsen, University of Oslo
Host of the session
Professor Emeritus Erik Løw, University of Oslo