$\,$
I work in
the Mathematics Department
of New York University in Abu Dhabi
in the group of Prof. Hisham Sati leading the
Research Center for Quantum and Topological Systems $\;\;\;$ (see at CQTS for latest activity).
I am doing research in mathematical fundamental physics (e.g. on Hypothesis H and TQC in TED-K).
For latest talk notes see here.
on the arXiv preprint server
about Hypothesis H
monographs on the nLab:
other:
Higher Prequantum Geometry, in: New Spaces for Mathematics and Physics, Cambr. Univ. Press (2021) $[$doi:10.1017/9781108854429$]$
Mathematical Foundations of Quantum Field and Perturbative String Theory, Proceedings of Symposia in Pure Mathematics 83 Amer. Math. Soc (2011) $[$ISBN:978-0-8218-5195-1$]$
I like to put math/phys information into context.
For that purpose I had started (in Nov 2008)
with edit logs and discussion being had on:
For more on the $n$Lab, see:
me on: What is… the nLab?
(presentation at Big Data in Pure Mathematics 2022)
Wikipedia on: nLab.
For logs of further activity see my page
while $n$Lab-edits are announced
For links to technical discussions about math and physics see my pages:
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.
I used to write an irregular column at PhysicsForums Insights. Articles 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
To the extent that it matters, my contributions to the nLab are copyrighted according to CC BY-SA 3.0.
Last revised on August 17, 2022 at 06:30:39. See the history of this page for a list of all contributions to it.