1,539 reputation
618
bio website joetait.net
location Southampton, United Kingdom
age 26
visits member for 2 years, 3 months
seen 2 days ago

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.


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
5
reviewed Reviewed Gap year to study math
Jul
5
comment Gap year to study math
I think it would be a lot more useful to give concrete advice, and give some idea of your mathematical background, so OP can tell from what experience you are speaking
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 Reviewed method of solution to heat equation
Jun
27
comment method of solution to heat equation
Hi, and welcome to math.stackexchange. More details would be very useful. If you could give a description of the precise equation you are trying to solve, whether you only want a solution with duhamel's method or whether any solution is okay, and a description of what particular part of the method you are stuck (i.e. the steps you have done and then what you can't do).
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