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I am a postdoc in mathematics, but have my degree in theoretical physics. My work is about mathematical structures motivated from quantum field theory and string theory. For more see here.


Dec
17
answered Is gravitational Chern-Simons action “topological” or not?
Dec
14
awarded  Good Answer
Nov
4
comment Are identity types interpreted physically in an infinity-topos formulation of equations of motion?
You are welcome to ask questions on the nForum. Just hit "Start a discussion" in the top left, select an appropriate discussion category, usually "Atrium: Mathematics, Physics and Philosophy", and go ahead.
Nov
4
comment Are identity types interpreted physically in an infinity-topos formulation of equations of motion?
Yes, the definition of "≃" involves "=". A function is an equivalence iff all its homotopy fibers are contractible, and in order to say "homotopy fiber" and "is contractible" one uses "=". In the models this is understood as: "=" sees the morphisms inside an object of an infinity-category, but "≃" sees the morphisms of the infinity-category itself. Now there is the objcect classifier which is a small image of the whole category inside itself. So in that particular object both kinds of morphisms are reflected and the univalence axiom says that they agree. So internal and external agree.
Oct
29
comment Is General Relativity based on a Symmetry?
By the way, GR is not "the" theory invariant under diffeos. All covariant theories are invatiant under diffeos, in particular all topological theories are.
Oct
27
comment Why quantum mechanics?
Yes, this is called "geometric quantization". It's standard. (I was just offering a motivation for existing theory, not a new theory.) The geometric quantization of the standard examples (e.g. harmonic oscillator) is in all the standard textbooks and lecture notes, take your pick here: ncatlab.org/nlab/show/…
Oct
9
awarded  Yearling
Sep
24
awarded  Autobiographer
Sep
18
awarded  Enlightened
Sep
17
awarded  Nice Answer
Sep
15
awarded  Good Answer
Jul
3
awarded  Announcer
Jun
3
awarded  quantum-field-theory
Jun
2
answered TQFT associates a category to a manifold
May
28
awarded  Necromancer
May
15
awarded  Nice Answer
May
9
answered Gravitational Chern-Simons theory for bosons and fermions
May
7
awarded  Nice Answer
Apr
11
awarded  Good Answer
Apr
7
awarded  Announcer