$\,$
I work in
the Mathematics Division of Science
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 researching mathematical and fundamental physics (e.g. on Hypothesis H and Quantum Systems).
For latest talk notes see here
$\phantom{------}$ (logo adapted from JMP 62 (2021) 042301)
Topological Quantum Programming in TED-K
video: YT
Topological Quantum Gates in Homotopy Type Theory
talk at QFT and Cobordism 2023
video: YT
see at GoogleScholar
& on the arXiv preprint server
& those 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
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 April 20, 2023 at 11:14:31. See the history of this page for a list of all contributions to it.