3,303 reputation
223
bio website nullteilerfrei.de
location Germany
age 28
visits member for 1 year, 11 months
seen 2 hours ago
stats profile views 389

I'm a PhD student with research interests in Algebraic Geometry, Algebraic Complexity Theory and Computer Algebra, i.e. doing delicate algebra to come up with powerful algorithms.


Dec
28
comment How to find the number of homomorphisms of $\mathbb{Z}$ into $\mathbb{Z}$?
You guys were right of course. Sorry for the confusion there. Fixed it.
Dec
28
revised How to find the number of homomorphisms of $\mathbb{Z}$ into $\mathbb{Z}$?
deleted 11 characters in body
Dec
28
answered How to find the number of homomorphisms of $\mathbb{Z}$ into $\mathbb{Z}$?
Dec
16
answered Algebra: Orthogonal Complement
Dec
15
comment How many solutions are there to the equation $x + y + z + w = 17$?
that's beautiful.
Dec
15
revised How many solutions are there to the equation $x + y + z + w = 17$?
beautified
Dec
15
answered How many solutions are there to the equation $x + y + z + w = 17$?
Dec
13
comment How to calculate the maximum flow in this graph by the Edmonds-Karp algorithm?
Oh and yea, the value of the maximum flow is 8.
Dec
12
comment Complex Numbers Question
@Some1: The point to my statement is that $f$ has real coefficients, but the second polynomial does not satisfy this condition. See I.J.Kennedy's answer.
Dec
12
comment How to calculate the maximum flow in this graph by the Edmonds-Karp algorithm?
I am not sure I understand your question. Do you know what a residual graph is?
Dec
12
answered Solving Linear Equation in One Unknown
Dec
12
answered Complex Numbers Question
Dec
12
answered How to calculate the maximum flow in this graph by the Edmonds-Karp algorithm?
Dec
12
awarded  Analytical
Dec
12
comment What does it mean to say a polynomial has an isolated singularity
Let $R=k[x_1,\ldots,x_n]/f$ be the coordinate ring of $H=Z(f)$. The partial derivatives $g_i := \partial f/\partial x_i \in R$ are a minimal set of generators for the ideal of the isolated singularity. This follows because the maximal ideal of a singular point can not be generated by $n-1=\dim(H)$ elements, but it is generated by the $n$ elements $g_i$.
Dec
12
answered closed subschemes of projective space over a scheme
Dec
2
answered Euler characteristic in pullbacks
Dec
2
comment Can the completion of a non-domain be a domain
Your proof is completely correct. Just for fun and because it seems related, Theorem 7.9 from Eisenbud says that if $R$ is a local ring with maximal ideal $m$ that is a localization of a ring finitely generated over a field or $\mathbb{Z}$, then $\hat{R}$ has no nilpotent elements.
Dec
2
answered How is this problem called?
Nov
5
comment Natural space to consider solution to polynomial equations
$\mathbb{CP}^2$ has nice geometric properties: For instance, two lines always intersect in a point. In $\mathbb{C}^2$, you can have parallel lines that do not satisfy this condition.