13,816 reputation
12248
bio website warwick.ac.uk/alexbartel
location University of Warwick, UK
age 32
visits member for 4 years, 1 month
seen Dec 5 at 12:18

I am currently a Zeeman Lecturer at Warwick University. My research interests lie in algebraic number theory and representation theory, more specifically integral Galois module structures, the arithmetic of elliptic curves, and (integral and rational) representation theory of finite groups.


Nov
28
awarded  Enlightened
Nov
28
awarded  Nice Answer
Nov
28
comment Primes of the form $p=a^2-2b^2$.
@KCd: thanks Keith, fixed it.
Nov
28
revised Primes of the form $p=a^2-2b^2$.
Corrected, to treat the prime 2 separately
Nov
7
awarded  Yearling
Sep
2
answered Sum of degrees of irreducible complex characters for certain groups
Sep
2
comment What are major algebraic number theory attempts, results and progressions toward Goldbach's Conjecture?
See this MO question: mathoverflow.net/questions/43434/…
Jul
25
awarded  Enlightened
Jul
25
awarded  Nice Answer
Jul
4
comment Cosets/ Cyclic group
Can you name any coset at all? Can you then find an element of $G$ not in that coset?
Jul
3
comment What kind of algebraic structure is this
Consider the orbit of the unit element under scalar multiplication. That will give you a copy of the scalar field inside the field (use the fact that a field has no non-zero proper ideals). In your example, the subfield consists of scalar matrices. Conversely, whenever you have a field with a subfield, the big field is clearly an algebra under the subfield, just using multiplication in the big field.
Jul
3
comment What kind of algebraic structure is this
It's just a field with a subfield.
May
15
comment Is Writing a Semi Group?
From Wikipedia: "Monoids are studied in semigroup theory as they are semigroups with identity".
May
15
revised Prove this simple arithmetic relation
Fixed tagging
May
12
comment Showing $U$ open in topological group $G$ $\implies$ $gU$ is open
All you need to do is unwrap the definitions. What does "continuous" mean? What is the topology on $G^2$? If you cannot do this, you had better ask more elementary questions about the concepts that you are having difficulty with.
May
12
answered Nilpotent groups are monomial
Apr
30
comment nonsemisimple $k$-algebra
@QiaochuYuan: Nice!
Apr
30
answered nonsemisimple $k$-algebra
Apr
22
revised Dihedralize Twice - dihedralize a dihedral group $D_n$
retagged
Apr
22
comment Dihedralize Twice - dihedralize a dihedral group $D_n$
As the link already says, $g\mapsto g^{-1}$ is only an automorphism if $G$ is abelian. So you have not defined "dihedralise" in the context in which you are using it. And I agree with Derek that the question has got nothing to do with representation theory, so I retagged it.