The PhD defence will be partially digital, in room 1259, Abels Utsikt - 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 request to access (available from 22th of March 3 pm until 11th of April 3 pm)
Trial lecture
10th of April, time: 3 pm, room 1259 (Abels utsikt) and zoom.
- 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.
Rather than studying an object in isolation, a lot of insight can be gained by studying how it relates to other objects, and even how it relates to itself. This general principle of studying relations instead of objects is very useful in mathematics.
My research focuses on two algebro-geometric objects called affine space and the projective line, which you may picture as a flat plane and as a circle. I have studied how they relate to themselves, in the sense that I have studied the algebraic functions from these objects to themselves.
Are there functions from affine space to affine space that hit everything except for some specified point or curve? Needing only a weak condition on the dimensions, we have shown that this question has a positive answer.
There are infinitely many functions from a circle to itself, but luckily we can sort them all into homotopy classes. Interestingly, these homotopy classes can be added and subtracted just like numbers. We have constructed a geometric model which makes the addition and subtraction of motivic homotopy classes of endomorphisms of the projective line more geometrically explicit.
Adjudication committee
- Professor Kirsten Wickelgren, Duke University
- Professor Barbara Drinovec Drnovšek, Univerza v Ljubljani
- Professor Emeritus Erik Løw, University of Oslo
Supervisors
- Associate Professor Trung Tuyen Troung, University of Oslo
- Professor Erlend Fornæss Wold, University of Oslo
- Adjunct Professor Paul Arne Østvær, University of Oslo
Chair of defence
Head of Department Geir Dahl.
Host of the session
Professor Emeritus Erik Løw, University of Oslo