1,787 reputation
517
bio website www2.math.su.se/~per
location Zurich, Switzerland
age 27
visits member for 4 years, 4 months
seen Dec 15 at 16:22

Currently interested in Schur functions and semistandard Young tableaux and misc. related representation theory and combinatorics.

Phd thesis defended 2013, titled Combinatorial Methods in Complex Analysis.

I keep an eye out for interesting results related to complex dynamics, computability, and computer-assisted research. I use Mathematica extensively in my research. My other main programming languages are Java, LaTeX, PHP, C, etc.


Dec
8
awarded  Caucus
Sep
5
answered Continuity of conjugate of $z$: $f(z)=\bar z$
Sep
4
comment Polygons inscribed in circles, with integer sides and integer radius
Note the similarity with the question about existence of perfect cuboids, i.e., cuboids with integer side lengths, integer side diameters, and integer space diameters.
Sep
4
asked Polygons inscribed in circles, with integer sides and integer radius
Aug
11
comment Tiling with polyominos
You mean, Taylor discovered a tile that can only tile in a non-periodical manner.
Aug
8
awarded  Yearling
Jul
2
awarded  Curious
Jun
7
comment On combining $n$ and $n^2$ into one number
@BenjaminDickman: Why discriminate on age? Perhaps it might be suitable for math.stackexchange, but it is seemingly a non-trivial question.
Jun
7
comment Show, by the element method that, for all subsets P, Q, and R of U, (P − Q) ∩ (R − Q) = (P ∩ R) − Q.
Draw a picture. Venn diagrams is your friend. Clarification: This type of problem, can easily be proved using Venn diagrams. Even an elementary picture, can be considered as a proof. In this case, draw 3 circles, as on the wikipedia page, and identify left hand side, and right hand side in the picture. Note that the regions for both "interpretations" are the same.
Jun
7
answered Is $i$ irrational?
Jun
7
comment Number of solutions to sudoku puzzle
@Jeff: General Sudoku ($n^2 \times n^2$ board) is NP-complete. The and the 9x9-board can be reduced to a SAT-problem, so it depends on your efficiency of the SAT-solver. However, this is equivalent to trying to solve the puzzle, I would say. If there was a quick way for 9x9-then most likely, this generalizes to all sizes, and you would become famous/assassinated by CIA.
Jun
7
asked Number of solutions to sudoku puzzle
Jun
1
comment Evaluate $ \int_{0}^{\frac{\pi}{2}}\frac{1}{(1+x^2)(1+\tan x)}\,\mathrm dx$
I think this is a typo; tan should perhaps be arctan in the question. Then things makes sense.
May
29
comment compact and convex set
How about using weak inequality in your definition, instead of strict? Is that what you mean? What are $X_1,X_2$ and $H$? Vectors?
Mar
22
comment Prove that a point is optimal in LP-problem
Eh, nevermind, found a way to solve the equivalent problem in another way, but it is involved.
Mar
22
awarded  Tumbleweed
Mar
15
asked Prove that a point is optimal in LP-problem
Mar
9
comment Invertibility of NxN nonnegative matrix with diagonally dominant elements
As Benoit tells you; the intuition is as follows; for any such generic matrix, all elements are non-equal. Thus, we may fiddle each element a little bit and still satisfy all conditions you describe. Thus, there is an open ball around each generic matrix. If the generic matrix you started with was non-invertible, then some (most) elements in the small ball around this matrix must be invertible.
Dec
8
answered Circular Permutations With Repetitions (Mirrored Ignored)
Nov
30
comment Fields that require both CS and pure math
Added now, see link.