14,257 reputation
32561
bio website math.utah.edu/~schwede
location Utah
age 36
visits member for 5 years, 6 months
seen 42 mins ago

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


Jul
24
reviewed Close Fiber bundle with no connection for the fibers
Jul
23
reviewed Leave Open Why should we regard $PL(M)$ as a simplicial group?
Jul
23
reviewed Leave Open non local indecomposable commutative ring
Jul
23
reviewed Leave Open The scheme $y^n = x^{2n}$ for $n$ a rational number
Jul
22
comment pull back of an ample line bundle under a blow up
Is $Y$ itself also smooth (then the answer is yes, see for instance Hartshorne's section on blowups)? If not, are you defining $E$ to the subscheme defined by $I_Z \cdot O_X$? Or are you defining it to the the divisorial part of the exceptional set (with what scheme structure)? Depending on your answer, the answer is also yes...
Jul
4
reviewed Leave Open Stability of the Solar System
Jun
23
reviewed Leave Open How do I evaluate this sum :$\sum_{n=0}^{\infty} \frac{\sin(n!)}{\cos(n!)}$ if it's not open problem?
Jun
23
reviewed Leave Open Is $\sqrt {2 \sqrt {3 \sqrt {4 \ldots}}}$ a rational number?
Jun
23
reviewed Leave Open Graduate Schools for Graph Theory
Jun
23
reviewed No Action Needed What is a cumulant really?
Jun
22
reviewed Leave Open A homeomorphism between total spaces with same fiber and base spaces not homotopic
Jun
22
comment About normalization
I think probably googling it will give you some references. The classic reference is Greco-Traverso. There was a recent survey (from an algebraic perspective) by Marie Vitulli.
Jun
19
comment About normalization
There is also the related notion of seminormality. $Y$ (a variety over $\mathbb{C}$) is called seminormal if every map of varieties $X \to Y$ which is finite and bijective is an isomorphism (and hence birational as well). Normal implies seminormal.
Jun
13
reviewed Leave Open How can I find the maximum value of this function?
Jun
12
reviewed Leave Open A good place where to learn about derived functors
Jun
10
reviewed Leave Open Who is currently researching topics concerning applying algebraic topology and/or differential geometry to numerical methods?
May
26
comment On the number of irreducible components of an exceptional divisor
My recollection is that even for several lines meeting transversally (pairwise), when you blow them up you can get all sorts of weird components over the center. Have you tried any examples?
May
26
comment On the number of irreducible components of an exceptional divisor
Are you always blowing up the set $Z$ with the reduced scheme structure, or are you allowing other scheme structures... If the former I'm not sure there is much that can be said.
May
25
awarded  Revival
May
21
awarded  Nice Answer