1,015 reputation
517
bio website
location London, UK
age 25
visits member for 5 years, 4 months
seen yesterday

I have recently completed an undergraduate master's degree in maths at Imperial College, London, and am currently looking at PhDs. I seem to have been doing a surprising amount of geometry recently.


Jun
18
comment Geometric Interpretation of Trace
On the other hand, if $n = m$ then you can also define a non-degenerate symmetric bilinear form using the same formula but without the $\dagger$, and this does not need an inner product. (I'm not so clear on the significance of this.)
May
31
answered What is a “Ramanujan Graph”?
May
19
comment How to find or constrain “particularly good” (two-sided) spectral expanders?
Right - which is why, in my question, I specifically asked about "the largest (in terms of n) graph(s) for which λ ≤ x, given some x < 2√(k-1)" where n is the number of vertices, k is the degree, λ is the largest absolute value of a non-trivial eigenvalue of the adjacency matrix.
May
19
awarded  Yearling
Mar
24
comment Uninteresting questions with interesting answers
Is there a formulation involving signed area for nonconvex curves, or is the convexity really essential?
Oct
21
comment Riemannian metric on a space of “not-quite-smooth” (hyper)surfaces?
Thanks very much! It's been a while since I was last looking at this sort of thing, but this looks like it might rekindle my interest.
Oct
20
answered Equivalence classes of (2,3)-pairs in PSL(2,q)
Oct
3
comment Pi and the primes: a pattern related to the Ulam spiral
Ok, I've reuploaded them - hopefully they should all work now.
Oct
3
revised Pi and the primes: a pattern related to the Ulam spiral
re-uploaded images
Oct
2
comment Equivalence classes of (2,3)-pairs in PSL(2,q)
@NickGill: (Assuming by "conjugate" you include outer automorphisms as well) how does one check that? I am especially interested in the cases when q is either prime or a power of 2, so in a sense this would answer half of my question.
Oct
1
comment Equivalence classes of (2,3)-pairs in PSL(2,q)
Thanks for this. I confess to not really having encountered GAP before, so I'll try playing around with it before asking any more questions of this sort.
Oct
1
comment Equivalence classes of (2,3)-pairs in PSL(2,q)
Ok, thanks. I will be sure to follow this advice in future.
Oct
1
asked Equivalence classes of (2,3)-pairs in PSL(2,q)
Sep
24
awarded  Autobiographer
Sep
4
revised (Connected) Cayley graphs of PSL(2,q) from (2,3,n)-triples
minor clarification
Sep
4
comment (Connected) Cayley graphs of PSL(2,q) from (2,3,n)-triples
The motivation is merely that such a generating set is the smallest possible which is both closed under inverses and "symmetric", in the sense that it's closed under conjugation by B.
Sep
4
revised (Connected) Cayley graphs of PSL(2,q) from (2,3,n)-triples
corrected statement about subgroups; formatting
Sep
4
comment (Connected) Cayley graphs of PSL(2,q) from (2,3,n)-triples
Yes, sorry, what I wrote was nonsense. I'll correct it now.
Sep
3
awarded  Yearling
Sep
3
asked (Connected) Cayley graphs of PSL(2,q) from (2,3,n)-triples