393 reputation
17
bio website
location Turin, Italy
age 29
visits member for 1 year, 10 months
seen Mar 20 at 19:26

I'm a master's student at the Turin University. My main interest is geometric, topological and combinatorial group theory and related topics such as the study of spaces with non-positive curvature. Unfortunately, I'm far from being an expert of the field.

I'm also interested in computational geometry, numerical linear algebra, gpgpu, parallel programming and mathematical typography.


May
31
awarded  Yearling
Jul
3
awarded  Scholar
Jul
3
accepted Connections of Geometric Group Theory with other areas of mathematics.
Jun
27
comment Book about creating geometries with programming languages
I think you question is quite generic. Anyway you can consider the John Vince's books for computer graphics.
Jun
26
comment Supplement to Herstein's Topics in Algebra
For group theory, I suggest "Groups and Symmetry" of Armstrong. It gives you a very solid understanding of the ideas behind group theory, even if it is less formal than other.
Jun
26
comment Supplement to Herstein's Topics in Algebra
Herstein's book doesn't give much insight into the wide theory of groups, but I think it is a good point to start. Artin's book is more geometrical, but it still contains only the basic theory. For the exercise, you can consider 'Problems in group theory' of Dixon, even if it is not so modern. Do you simply need more examples or do you want to know more? Because in the latter case you probably can simply shift to a true group theory book.
Jun
22
comment What properties of groups are needed for orbits to be well-defined under group actions?
The closure under the group operation is necessary because the action hasn't any sense without it.
Jun
22
answered What properties of groups are needed for orbits to be well-defined under group actions?
Jun
13
comment Matrix Multiplication and Function Composition
Si, si può controllare scrivendo esplicitamente il prodotto matriciale. Usando la linearità è abbastanza immediato vedere che è così.
Jun
7
comment Multivariable Calculus Book Reference
What do you dislike of the book you use now? Do you need something on differential forms?
Jun
7
comment Connections of Geometric Group Theory with other areas of mathematics.
Actually, I recently read, on May's introductory book, the fundamental groupoid version of the Van Kampen Theorem, and I found it very insightful. So, do you suggest to explore the theory of Crossed modules and associated 2-groups? Or do you suggest to try to explore one of the topic presented in the future directions chapter (for example 16.1.1 or try to reformulate some of the theory presented there using crossed modules and complexes)?
Jun
7
comment Connections of Geometric Group Theory with other areas of mathematics.
Wonderful, a very good example of how different mathematical fields can help each other. Unfortunately, I'm not a big fan of analysis, but you surely give me a reason to study it more seriously.
Jun
6
awarded  Student
Jun
6
comment Group and left classes
A group is always the union of the non-intersecting left cosets with respect to one of his subgroups. You only need to prove that the cosets have that form.
Jun
5
comment Calculating formula to store location of Lower Triangular Matrix
Yes. There are other methods; column-major and row-major are simply the easier one. Sometimes one is better than another, and a different choice can change heavily the performance (because of the cache misses). You, generally, have to build the implementation of a particular algorithm on the data layout.
Jun
5
answered Calculating formula to store location of Lower Triangular Matrix
Jun
5
comment Is $f(t)=t^\alpha$ for $\alpha\in(0,1)$ a sub-additive function?
Try with $0\le t\le 1$.
Jun
5
asked Connections of Geometric Group Theory with other areas of mathematics.
Jun
5
comment Max size of the problem that can be solved in 2 hours if the algorithm takes n^2 microseconds
$2h = n^2 \cdot 10^{-6} s$. Now $1h = 60\cdot 60s$...
Jun
5
comment Can we distinguish $\aleph_0$ from $\aleph_1$ in Nature?
Actually, we don't even know if there are an infinite number of particle in nature.