980 reputation
512
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location Oslo, Norway
age 26
visits member for 4 years, 4 months
seen Nov 10 at 10:35

Master student in algebraic topology at the University of Oslo.


Oct
14
revised Guide to mathematical physics?
added 368 characters in body
Oct
14
revised topological properties of a given set
added 199 characters in body
Oct
14
answered topological properties of a given set
Oct
8
comment Guide to mathematical physics?
I couldn't really say. I mean, if you're interested in 1 dimensional field theory as described in Faria-Melo one could say that you don't really ever need to say "category," it's just a convenient way to think. Though if you're interested in d dimensional field theories, you should probably know about d (or at least d-1) categories. I couldn't tell you what mathematical physicists usually do because I'm not one of them. Maybe I'll be able to send one your way but I can't promise anything, heh.
Oct
7
comment Guide to mathematical physics?
Yeah well, principal bundles with their connections, vector bundles, lie groups and their representations, operator algebras for infinite dimensional stuff, Lagrangian and Hamiltonian mechanics for the dynamics of states (or the unifying frame work of symplectic geometry), and as always category theory. Cohomology becomes useful for understanding existence of spin structures etc. I'll let someone with more experience write a more comprehensive answer :)
Oct
7
answered Guide to mathematical physics?
Oct
7
comment Guide to mathematical physics?
My favourite book so far on gauge theory is "Mathematical Aspects of Quantum Field Theory" by Faria-Melo -- you might find it useful.
Oct
5
comment In how many ways can you arrange all letters in the word MISSISSIPPI so that
For 1, the symmetric group on 11 letters acts on the set of arrangements of these 11 letters. The stabilizer of any four letters is a copy of the symmetric group on 7 letters. A consecutive arrangement of four I's is determined by the location of the first I (there are 8 possible choices) and by a permutation on 4 letters. Hence there should be about $(11!/7!)\cdot 8\cdot 4!=1520640$ such arrangments. This is assuming two copies of a single letter are different; if not, scrap the copy of $\Sigma_4$ and some of the stuff in $\Sigma_7$.
Oct
3
comment Why is one “$\infty$” number enough for complex numbers?
By the way, you could consider a closed 2-dimensional disc a compactification of $\mathbf{C}$ with a full circle worth of infinities.
Oct
3
revised Why is one “$\infty$” number enough for complex numbers?
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Sep
30
comment A smooth non-stably trivial smooth vector bundle
Yes so it would appear. I have no idea why I had convinced myself that it didn't.
Sep
30
accepted A smooth non-stably trivial smooth vector bundle
Sep
30
asked A smooth non-stably trivial smooth vector bundle
Sep
24
awarded  Autobiographer
Jul
28
awarded  Yearling
Jul
2
awarded  Curious
Jul
28
awarded  Yearling
Jul
25
awarded  Good Answer
Jul
25
revised Intuition behind Matrix Multiplication
deleted 2 characters in body
May
26
comment Combinatorics of the Zeta function of a variety
'May be' of course, not 'is' :-)