833 reputation
720
bio website math.jhu.edu/jmartinezgarcia
location Baltimore, MD
age 29
visits member for 5 years
seen yesterday

I am a JJ Sylvester Assistant Professor at Johns Hopkins University. Previously I did my PhD at the University of Edinburgh.

My interests are in Birational Geometry, constant scalar curvature Kahler metrics, Fano varieties, K-stability and Tian alpha-invariants.


Oct
31
awarded  Popular Question
Jul
2
awarded  Curious
Jun
13
accepted Castelnuovo's rationality criterion on singular surfaces?
Jun
13
comment Castelnuovo's rationality criterion on singular surfaces?
Ooops, the du Val case is so obvious, you are right. Glad to see that it is sharp for singularities. Thanks.
Jun
9
awarded  Yearling
Jun
9
asked Castelnuovo's rationality criterion on singular surfaces?
Feb
13
accepted Intuitive pictures in characteristic p
Jan
15
awarded  Popular Question
Nov
15
comment Existence of constant scalar curvature Kahler metrics on projective manifolds
Awesome answer, thanks.
Nov
15
accepted Existence of constant scalar curvature Kahler metrics on projective manifolds
Oct
22
asked Existence of constant scalar curvature Kahler metrics on projective manifolds
Jun
26
awarded  Necromancer
Jun
25
awarded  Excavator
Jun
25
awarded  Suffrage
Feb
26
comment Injective morphism from curves to $\mathbb CP^2$
Oh, OK. I thought cusp meant $y^2-x^3$ (never read it anywhere, just from conversations), but I realise that analytically that is also $y^m-x^n$ for $m,n>1$ , which I think is equivalent to what you say. Thanks a lot :)
Feb
22
comment Injective morphism from curves to $\mathbb CP^2$
@Jérémy: why must the singularities be cuspidal?
Dec
22
comment Intuitive pictures in characteristic p
I particularly like this interpretation. Did you come with it by yourself or is it well known?
Dec
22
comment Intuitive pictures in characteristic p
Thanks for this answer, but do I understand that you are assuming the field to be finite, or does it work for algebraically closed fields too?
Dec
21
accepted Graph of dependencies from a Latex file
Dec
21
comment Intuitive pictures in characteristic p
Sorry, Piotr, I forgot to mention I was thinking of algebraically closed fields of finite characteristic. I think in that case your example, which is actually quite interesting, does not work. Sorry for being imprecise