bio | website | cs.ox.ac.uk/people/… |
---|---|---|

location | Oxford, United Kingdom | |

age | 51 | |

visits | member for | 4 years, 6 months |

seen | 12 hours ago | |

stats | profile views | 2,261 |

May 21 |
comment |
Will this be a case of self plagiarism or will it annoy the referee?
Yet another option is to include the parts with proofs from P1 as an appendix to P2. An appendix is meant to be for referees. As P1 is not yet published, this seems the most appropriate. |

May 19 |
comment |
Looking for reference or proof to some facts stated on Anand Pillay's book
if your 2-dimensional closed sets have at least 3 elements then one doesn't need any group actions and infiniteness, it's just pure synthetic geometry to show that you sill get an affine or projective geometry. |

May 19 |
comment |
Cardinality of non-integer points in the translation of the Minkowski sum of convex hull.
counting integer points in $mP+nQ$ is quite famous question, related to mixed volumes. Perhaps you can use it to get $|S|$... |

May 19 |
comment |
Looking for reference or proof to some facts stated on Anand Pillay's book
you need infiniteness to avoid a sporadic example related to the Mathieu group $M_{22}$, I suppose. Well, I don't know how to deal with the case of 2-dimensional closed sets (a.k.a. lines) being of size 2, and locally being an infinite projective plane. |

May 19 |
comment |
Looking for reference or proof to some facts stated on Anand Pillay's book
2.1.11 is also a result that is very old, at least in geometric terms (I don't know what an "infinite homogeneous" means though). Does it mean that the rank is infinite? |

May 19 |
comment |
Looking for reference or proof to some facts stated on Anand Pillay's book
2.1.12 is a classical result in projective geometry, any good book should have it. e.g. see math.stackexchange.com/questions/549099/… for a list of books. |

May 19 |
comment |
Is any F-stable maximal torus contained in some F-stable Borel subgroup?
I'm voting to close this question as it has been answered in the comments |

May 16 |
comment |
Extreme points of convex hull of Minkowski sum
it seems you do not understand what conv(X) is. |

May 16 |
comment |
Extreme points of convex hull of Minkowski sum
you are not reading it right. |

May 16 |
comment |
Extreme points of convex hull of Minkowski sum
@Cusp : if $Q$ is a point $a$ then $P+Q$ is just $P$ shifted by the vector $a$, and the vertices of $P+Q$ are the vertices of $P$ shifted by $a$, and this is what I claim. |

May 16 |
comment |
Extreme points of convex hull of Minkowski sum
pictures speak for themselves here: en.wikipedia.org/wiki/Minkowski_addition |

May 16 |
comment |
Extreme points of convex hull of Minkowski sum
@AnthonyQuas : this is also an exercise :-) |

May 16 |
comment |
Extreme points of convex hull of Minkowski sum
$ext(P+Q)$ will be $conv(\{a_i+b_j\mid 1\leq i\leq p, 1\leq j\leq q\})$. It is an exercise. |

May 8 |
comment |
What is the complexity of intersecting two matrix algebras over a finite field?
The only hope seems to be to compute (partial) decompositions (using Meataxe, see e.g. homepages.warwick.ac.uk/~mareg/download/papers/bham_95/…) of the representations of the groups generated by $\mathcal{A}$ and $\mathcal{B}$, and hope they have small factors only. Then linear algebra becomes faster. |

May 7 |
comment |
What is the complexity of intersecting two matrix algebras over a finite field?
Computational representation theory of groups is harder than linear algebra (this is a metatheorem :-)). My bet is that in general there cannot be a speedup hoped for in the question. |

May 7 |
comment |
A multivariate polynomial question
multiaffine? do you mean multilinear? |

May 5 |
comment |
If the quotient of an algebraic space $X$ by a finite group is a scheme, is $X$ a scheme?
I'm voting to close this question as off-topic because it has been answered in the comments |

May 2 |
comment |
A table for irreducible integral representation of finite cyclic groups
table? A theorem, perhaps... |

May 1 |
comment |
Do unit quaternions at vertices of a regular 4-simplex, one being 1, generate a free group?
wouldn't this imply that the multiplicative group of quaternions contains a free group on 4 symbols? This is rather surprising to me. |

Apr 30 |
comment |
the complex representations of $B(2, \overline{\mathbb{F}_p})$
and what is $B(2,F)$ ? And what is the Mackey method you mention - provide a reference... |