28,891 reputation
257129
bio website math.tsukuba.ac.jp/~carnahan
location 筑波市, Japan
age
visits member for 5 years
seen 6 hours ago
I think this is a neat project.

13h
answered What is the difference between the moduli space of curves and the moduli space of orbi-curves?
1d
reviewed Close A question on the Euclidean domain $\mathbb{Z}[\omega]$
1d
reviewed Leave Open Is a group uniquely determined by the sets $\{ab,ba\}$ for each pair of elements a and b?
1d
reviewed Close Is the configuration space of infinite sphere contractible?
1d
comment Conjecture Reference Request
Sure. Bertrand's postulate is the case $f(x,y) = 2$ if $x > 2y$ and zero otherwise.
Oct
21
reviewed Approve suggested edit on Estimation of growth rate of spectral radius
Oct
19
comment an question about number theory
I suspect the first factor in the denominator is $q^i - 1$ rather than $q^{i-1}$.
Oct
19
comment Where can I find the classification of groups of order 8p?
GAP has big enough tables that you should be able to see the general pattern.
Oct
19
comment Is the kissing number in $n$ dimensions always divisible by $n$? And what is the base of exponential growth of the kissing number?
1st question: Probably not, but we don't have a proof.
Oct
19
comment How to extend index theorem to infinite dimensional manifolds?
If you want something to regularize, you need more structure. For example, Witten's work relating the Dirac operator on loop space to modular forms uses the circle action in an essential way.
Oct
19
comment What is an infinite prime in algebraic topology?
I saw a talk by Morava in 2009, where he displayed a picture of the "Berkovich spectrum of the sphere spectrum". All of the finite prime branches had extended bits corresponding to homotopy-theoretic localizations. The archimedean branch ran into a picture of a dragon, labeled "$C^*$-algebras?".
Oct
19
reviewed Close Bender's decomposition with overlapping y variables
Oct
18
comment A good book on adeles and ideles
Have you looked at Ramakrishnan-Valenza?
Oct
18
comment Is the upper half plane an algebraic stack?
By the way, a semi-rigorous source is Proposition 2.2 in Deligne's Formes modulaires et représentations $\ell$-adiques (Séminaire Bourbaki, 21 1968/69, no. 355). If you can find an unburned copy of Conrad's book on the Ramanujan conjecture, that has a rigorous development (which disagrees with Deligne by a sign).
Oct
18
reviewed Leave Open Tangent space describes the manifold's first order characteristic. Is there something like tangent space describes higher order characteristic?
Oct
18
reviewed Close triangular inequality
Oct
17
comment Shift-invariant symmetric functions in representation theory?
This appears to be the ring of $S_n$-invariants on the symmetric algebra of the standard $n-1$-dimensional representation.
Oct
17
reviewed Close Can I find a resolution of singularities that is both smooth and projective?
Oct
17
reviewed Close Numerical method of lines for solving PDEs
Oct
17
reviewed Close Tracy-Widom distribution - Phase transitions - catastrophe/chaos - 'surface-fit'/'curve-fit' software