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The best way to contact me is to send an email to schreiber@math.cas.cz or to urs.schreiber@gmail.com.
I am researcher in the department Algebra, Geometry and Mathematical Physics of the Institute of Mathematics at the Czech Academy of the Sciences (CAS) in Prague.
Presently I am on leave at the Max Planck Institute for Mathematics in Bonn.
My research is about mathematical theory building in theoretical fundamental physics. For informal exposition see below.
With Hisham Sati I have edited a survey book that should give a good sense of modern insights into the general abstract structure of the world:
I am writing a monograph about a modern approach to this subject:
An expository survey text is here:
and survey talks are here:
talk at New Spaces in Mathematics & Physics, IHP Paris, Sept 28 - Oct 2, 2015 (video recording)
talk at Topos à l’IHES, IHES Paris, Nov. 25-27, 2015 (video recording)
See behind the links for detailed lecture notes that I wrote.
date | lecture notes |
---|---|
winter $\,\,$ 2017 | Mathematical Quantum Field Theory |
summer 2017 | Topological K-Theory |
summer 2017 | Topology |
winter $\,\,$ 2016 | Super Cartan Geometry |
summer 2016 | Complex oriented cohomology theory |
summer 2016 | Stable Homotopy Theory |
summer 2015 | Structure Theory for Higher WZW Terms |
summer 2015 | Higher Cartan Geometry |
summer 2014 | Homological Algebra |
A list of further teaching in the past is here.
For a list of research articles that I have written see the public preprint server
or my
Textbooks:
For a chronological list of invited talk and lectures that I have given see here:
For a list of students whose thesis work I have been supervising see here:
I like to put information into context. For that purpose I had started the
in November 2008. It has now more than 11,600 pages (some very short, but some very long). In May 2015 the $n$Lab installation migrated from a server paid out of my pocket to a server hosted at Carnegie-Mellon University in Pittsburgh, funded by Steve Awodey’s MURI grant for homotopy type theory research.
For more on what the $n$Lab is see also
me on: What is... the nLab?
Wikipedia on: nLab.
I am writing an irregular column at PhysicsForums Insights. Artices in the series include these:
on pre-quantum field theory
Higher prequantum geometry I: The need for prequantum geometry
Higher prequantum geometry II: The principle of extremal action – Comonadically
Higher prequantum geometry III: The global action functional – Cohomologically
Higher prequantum geometry IV: The covariant phase space – Transgressively
Higher prequantum geometry V: The local observables – Lie theoretically
Examples of Prequantum field theories II: Higher gauge fields
Examples of Prequantum field theories III: Chern-Simons-type theories
Examples of Prequantum field theories IV: Wess-Zumino-Witten-type theories
on perturbative quantum field theory
on string theory
For logs of further activity see my page
and for links to technical discussions about maths and physics see my pages
To the extent that it matters, my contributions to the nLab are copyrighted according to CC BY-SA 3.0.