1,550 reputation
619
bio website joetait.net
location Southampton, United Kingdom
age 27
visits member for 2 years, 8 months
seen Aug 18 at 8:19

I am a slug at Southampton University, studying algebraic geometry. My supervisor is Bernhard Koeck, and I started looking at group actions on algebraic curves and their associated spaces of holomorphic differentials.

This lead to considering polydifferentials, and I am now looking at how they relate to deformation theory.

I am also looking at group actions on the algebraic de Rham cohomology of algebraic curves, in particular to see when the canonical short exact sequence doesn't split in positive characteristic.

Hopefully I will be able to add more on here soon, as my maths power increases.


Sep
30
awarded  Explainer
Jul
11
reviewed No Action Needed proving $\sum_{n=1}^{\infty }\frac{n-2}{3n^3+2n^2}$ converges
Jul
6
reviewed No Action Needed determining if two events are independent or not
Jul
4
accepted Given $\omega_i \in \Omega_X(U_i)$ can I find $f\in {\cal O}_X(\cap U_i)$ so that $df = \omega_1 - \omega_2$
Jul
4
reviewed No Action Needed Parenthesize expressions.
Jul
3
reviewed Reviewed Idempotents in a local ring
Jul
3
comment Idempotents in a local ring
Welcome to math.stackexchange. You may want to give some idea of what the Jacobian is, and why being in the Jacobian implies that $1-e$ is invertible.
Jul
3
reviewed No Action Needed Distribution of integer solution pairs (x,y) for $2x^2 = y^2 + y$
Jul
2
comment Should I use the minus sign when writing papers in characteristic two
This is what I had been largely doing (though I am not sure how consciously). But you wouldn't find it unusual either way?
Jul
2
asked Should I use the minus sign when writing papers in characteristic two
Jul
2
awarded  Curious
Jul
2
reviewed No Action Needed generator of a function (stochastic)
Jul
1
reviewed No Action Needed Extending the Intersection of Subspace
Jun
27
reviewed No Action Needed A good, free, graphics package for mathematics?
Jun
27
reviewed No Action Needed Counting problem: selecting $n$ objects among $k$ infinite collections.
Jun
27
reviewed Reviewed Find the maximum value of a function of $x$ for a given range of values of $x$
Jun
26
reviewed Reviewed Subtraction by addition
Jun
26
comment Subtraction by addition
What is meant by complement here? Is there a particular step (either in the example or the explanation) that doesn't make sense?
Jun
26
reviewed No Action Needed Suppose $f$ is continuously differentiable on $\mathbb R$, $f(0)=0$ and $f(x)f'(x)\leq2$ for all $x\in\mathbb R$. What is the maximum value of $f(4)$
Jun
26
comment Linear independence of generalized eigenvectors
@daw Re my answer: Sorry, I was assuming uniqueness of the eigenvectors. I'll delete the answer.