14,067 reputation
32559
bio website math.utah.edu/~schwede
location Utah
age 36
visits member for 5 years, 3 months
seen 5 hours ago

I'm an associate professor at the University of Utah. I work on algebraic geometry and commutative algebra.


1d
reviewed Leave Open How exactly do we construct the $T^2\times \mathbb{R}$ toric Calabi-Yau three-fold?
1d
reviewed Leave Open Does every group that satisfies the maximal permutizer condition then satisfy the permutizer condition?
1d
reviewed Close algebraic closedness in in residue field
2d
reviewed Leave Open Notation for the all-ones vector
2d
reviewed Leave Open Can someone help me find a Mathematical documentary that aired on British television within the past 10 years about Leibniz?
2d
reviewed Close Reflexive sheaf on normal surfaces
2d
comment Reflexive sheaf on normal surfaces
No. Try googling examples of reflexive sheaves.
2d
reviewed Close induced map on tangent bundles from blow up morphism
2d
reviewed Leave Open Reflexive sheaves on stable curves-II
Apr
22
reviewed Close Base change of regular schemes
Apr
22
comment Is dimension invariant under blow-ups?
If you blow up the zero ideal, you get the empty scheme. If you blowup an irreducible component, then that component goes away. But yes, outside of that situation everything is fine as the other comments said.
Apr
22
reviewed Leave Open When can the rank of a submodule be bigger than the rank of the module itself?
Apr
22
comment To determine whether an ideal is prime using Macaulay 2
Steven, that's true. You can just check primality over the rationals (or fixed finite extensions) or over finite fields...
Apr
22
comment To determine whether an ideal is prime using Macaulay 2
Can you define your ideal over the rationals? It appears isPrime does not work over CC (the complexes) but will work over the rationals. Of course, even if you have some algebraic elements that are coefficients of elements, just add them to Q, ie do something like QQ[a,x,y,z]/(a^2-2) and then you can check whether (x + ay) is prime.
Apr
17
reviewed Close Are universally catenary equidimensional local rings Cohen-Macaulay?
Apr
17
comment Are universally catenary equidimensional local rings Cohen-Macaulay?
While I think things like Cohen-Macaulay and catenaryness (a word?) are probably on topic for mathoverflow, it seems to me that the question is not at a research level. The author should look at standard examples of non-Cohen-Macaulay rings.
Apr
17
comment Reference for a lemma on étale maps
There was no editor overseeing a peer review process, however peers certainly do read it and I would hope point out any errors... Perhaps even more frequently than referee's point out errors in published works...
Apr
14
reviewed Close Zeros of Polynomial with decreasing coefficients
Apr
13
reviewed Reopen Must the powers of some element always grow linearly with respect to a word metric?
Apr
12
reviewed Leave Open category theoretic approach to Sylow theorems and finite group theory?