I attempted to make a computer graphical rendering C1 isometric embedding of the hyperbolic plane. I am not sure if the result really is a C1 embedding, but the pictures...

All, Grothendieck claimed that his "standard conjectures" imply the Weil conjectures. He showed the proof to a class that he taught one summer in the 1960's and he asked one...

Hi, Let K be a field. I am especially interested in finite fields, so assume (if you wish) that K is finite. Let G\subset SL_n be a linear algebraic group defined over...

Sorry for the naive question. Is it theoretically possible that a statement such as "there are infinitely many primes of the form n^2+1" could be true, but not provable, in...

The set of N-smooth integers is defined as the integers whose largest prime factor is =N. I conjecture (and I'm sure I'm not the first to do so) that for any N and k, the...

On several occasions I have had the following experience. There is some math book that I consult frequently enough that I decide it would be nice to have a copy. The book...

Hello! Ramanujan found the "value" of the divergent alternating series 0^0 - 1^1 + 2^2 - 3^3 + 4^4 - 5^5 +- ... = 0.704169... (see G. N. Watson, Theorems stated by...

I believe the book "Handbook of Mathematical Logic" edited by Jon Barwise had an explicit example of a mathematical statement related to the Ramsey Theorem that is true but...

While looking at a paper by Zivkovic on 0-1 matrices http://arxiv.org/PS_cache/math/pdf/0511/0511636v1.pdf which uses SNF (Smith normal form) to aid in computing...

I have a question on Berry phase for this very simple example: Define D as the symmetric 4X4 diagonal 0-1 matrix Define M as the symmetric 4X4 0-1 matrix

What are L(M)/Diff(M) and F(M,g)/Diff(M)? Here, M denotes a differential manifold, g a non-degenerate metric defined on M, L(M) the linear frame bundle, F(M, g) the...

I would like to announce a website created by Robert Samal and myself: The Open Problem Garden http://garden.irmacs.sfu.ca The Open Problem Garden is a collection of...

Hello, I have only little background in algebraic number theory and algebraic geometry, however I want to know about the following: Let A be the set of functions on the...

Dear all, I wonder how to show that the compact objects of the derived category of the A-modules (where A in a non necessary commutative ring) are the bounded complexes of...

Dear all, I was hoping that somebody would direct me to the relevant literature or a proof for the following problems. (1) Given a nonnegative, irreducible real matrix A...

MACAS 2 - Conference proceedings are now available: Proceedings of the 2nd International Symposium of Mathematics and its Connections to the Arts and Sciences (MACAS 2),...

I need a little guidance with regard to the mathematics of both fractals and relativity theory. It has been a couple decades since I opened a book on either, that that was...

What is the relation between characters of a group and its subgroup? e.g. what is the relation between characters of E(8) and E(7) and SU(2) ?

Hi I'm interested to know which irreducible characters of the symmetric group are monomial. More precisely, I want to know for which partitions $\pi$, the corresponding...

A physics grad student asked me a question which I think boils down to a question about certain orderings on fields. Let me start with some definitions: an ordering on a...