Christoph Dorn
Status
Postdoctoral Research Associate
I am a post-doc in the Topology Group.
Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG
Major / recent publications
- Survey paper : Nine short lectures on geometric higher categories, 2023, 33 pages
- Expository paper : Introduction to framed combinatorial topology, 2022, 25 pages, joint w/ Christopher Douglas
- Paper : Manifold diagrams and tame tangles, 2022, ~110 pages, joint w/ Christopher Douglas
- Book : Framed combinatorial topology, 2021, ~270 pages, joint w/ Christopher Douglas
- Thesis : Associative n-categories, 2019
Research interests
In my research I develop computable foundations for geometry and higher algebra. My work studies diagrammatic calculi of stratified manifolds, their singularities and higher Morse structures, and how these structures relate to the combinatorics of higher categories.
More broadly, I like to think about foundations of mathematics, inference and knowledge representation.
Teaching
- Mini-course on Framed Combinatorial Topology (TT21)
- Category Theory (MT20)
- Algebraic Topology (MT19)
- Categories, Proofs and Processes (MT16)
- Topology (HT16)
- Complexity Theory (HT16)
- Automata, Logic and Games (MT15)
Prizes, awards, and scholarships
- College Scholarship for Sciences, St Catherine's College, Oxford University
- 3 Year EPSRC Scholarship by Oxford Department of Computer Science, Oxford University
- Bateman Scholar, Trinity Hall, Cambridge University
- Parks Prize for Mathematics by Trinity Hall, Cambridge University
- 4 Year Scholarship by German National Academic Foundation