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I am a postdoc in maths with a degree in theoretical physics. I am interested in mathematical structures in quantum field theory and string theory, see here.

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Apr
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Apr
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awarded  Nice Question
Apr
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answered NCG with all noncommutativity in a nilpotent ideal
Apr
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comment NCG with all noncommutativity in a nilpotent ideal
Well, I suppose a crucial difference of supergeometry is that the grading group is finite cyclic. Any thoughts on that in the E_n conext or more generally in the context of the above question?
Apr
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comment NCG with all noncommutativity in a nilpotent ideal
Thanks, excellent. I suppose I should have been aware of this. The thesis in chapter 4 has just what I have been after here. Did anyone have any substantial thoughts on the perspective of regarding this as generalized supergeometry? For instance Deligne's theorem ncatlab.org/nlab/show/Deligne+theorem+on+tensor+categories is suggesting higher versions with symmetric monoidal 1-categories replaced by symmetric monoidal (oo,n)-categories. Deligne finds that supergroups are the Tannakian dual for n=1 (subject to a nicety condition). Can one find "E_n-groups" as the dual in the higher case?
Apr
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asked NCG with all noncommutativity in a nilpotent ideal
Apr
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Mar
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comment What is the conceptual significance of supercommutativity?
Just for the record, here are more references: ncatlab.org/nlab/show/Deligne%27s+theorem+on+tensor+categories
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Feb
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comment How to write BRST-BV for dg-Lie?
ncatlab.org/schreiber/show/derived+critical+locus
Feb
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comment The groupoid of algebraic expressions and proofs
@goblin, that seems rather close in spirit to type theory ncatlab.org/nlab/show/type theory . In its flavors as homotopy type theory ncatlab.org/nlab/show/homotopy+type+theory this is precisely about groupoids whose morphisms are proofs of equivalences... and higher groupoids whose higher morphisms are proofs of equivalences of proofs of equivalences, and so on.
Feb
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comment space at the Planck scale
No, this is not true for string theory. I have sent an explanation over at PhysicsOverflow: physicsoverflow.org/27295/…
Feb
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answered Reference request: a guide through quantum probability
Feb
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comment consistent orientation for functorial pull-push in generalized cohomology
Ah, right, fixed now. Thanks.
Feb
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revised consistent orientation for functorial pull-push in generalized cohomology
fixed trivial typo
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Jan
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comment Reference Request for TQFTs
For mathematical supersymmetry I recommend the articles by D. Freed listed here ncatlab.org/nlab/show/… particularly the "Five lectures on supersymmetry" ncatlab.org/nlab/show/Five+lectures+on+supersymmetry and his article with Deligne ncatlab.org/nlab/show/supersymmetry#DeligneFreed99