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location UCLA
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visits member for 2 years, 9 months
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I'm currently finishing my undergraduate and masters degrees at UCLA.

Next year I will be a first-year graduate student at Brown.

My interests are broad, but generally speaking, I enjoy problems of a topological (or perhaps geometric) flavor that can be adressed by techniques of analysis and/or algebra. I am also interested in analysis for its own sake.


2d
awarded  Constituent
May
7
awarded  Caucus
Apr
25
answered let $f (x) = x^p - a \in F[x]$. Show that $f (x)$ is irreducible over $F$ or $f (x)$ splits in $F$.
Apr
23
comment How can I use prime factorization to find a cube root?
You're missing a copy of $2$. $1000 = 2^{3}5^{3}$.
Apr
20
answered Question involving improper integrals.
Apr
20
answered If $A$ is a diagonalizable $n\times n$ matrix for which the eigenvalues are $0$ and $1$, then $A^2=A$.
Apr
18
revised Is it true that any two tame knots are homotopic?
added 9 characters in body
Apr
18
comment Is it true that any two tame knots are homotopic?
If you shrink knotted parts to a point, you should remain tame for all $t$. As you shrink the knotted portion, you remain equivalent to a polygonal knot where the lines representing the knotted portion shrink. In the limit, you are equivalent to the unknot, which is very tame!
Apr
18
revised Is it true that any two tame knots are homotopic?
added 29 characters in body
Apr
18
answered Is it true that any two tame knots are homotopic?
Apr
18
answered Function space of a finite set and $\Bbb R^n$
Apr
18
comment Cubes covering a set in $\mathbb{R^3}$
To put that another way, if you want to estimate the ratio without giving more information about $\Omega$, then your estimation needs to work for all $\Omega$ at once.
Apr
18
comment Cubes covering a set in $\mathbb{R^3}$
Yes, but you don't know what $\Omega$ is. So you can't bound the ratio, because for any bound I can find an $\Omega$ small enough where this bound fails.
Apr
18
revised Cubes covering a set in $\mathbb{R^3}$
added 56 characters in body
Apr
18
answered Cubes covering a set in $\mathbb{R^3}$
Apr
14
awarded  Nice Question
Apr
14
answered Is the product of two measurable subsets of $R^d$ measurable in $R^{2d}$?
Apr
13
revised Doubt on rational and real numbers
added 148 characters in body
Apr
13
answered Doubt on rational and real numbers
Apr
13
comment What do elements of the first homology group mean topologically?
@ZevChonoles : I see you just reached 50k! Congrats.