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I am a current graduate student, pursuing a Phd. in Mathematics. I expect my speciality to be in overlap of Algebraic Number Theory and Algebraic Geometry. I am most interested in Iwasawa Theory, Perfectoid Spaces, and have a bit of interest in Inverse Galois Theory.


Sep
30
awarded  Explainer
Sep
24
awarded  Autobiographer
Sep
4
comment Path-connected, simply connected subsets of $\mathbb{R}^n$
@Neal This provides a counter example as they both have the properties but deleting a point from the first leaves it path connected while any deletion of a point in the second leaves it not path connected, correct?
Aug
15
revised How to find if a point lies in the area covered by 2 straight lines
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Aug
15
reviewed Approve suggested edit on $A\otimes_RB$ is an $R$-algebra
Aug
15
answered How to find if a point lies in the area covered by 2 straight lines
Aug
14
revised Equality in the sequence of increasing ranges.
added 5 characters in body
Aug
14
answered How to calculate the integral of $\sum_{n=1}^\infty (1/r)^{n+1} r^2$?
Aug
14
revised How to calculate the integral of $\sum_{n=1}^\infty (1/r)^{n+1} r^2$?
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Aug
14
revised When $f=u+iv$ is a holomorphic function, the real part of $f'(z)$ is equal to $u_x(z)$
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Aug
14
revised When $f=u+iv$ is a holomorphic function, the real part of $f'(z)$ is equal to $u_x(z)$
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Aug
14
answered How to solve inequalities with absolute values on both sides?
Aug
14
revised How to solve inequalities with absolute values on both sides?
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Aug
11
comment Finding the minimum distance from the origin to the surface $xyz^2=2$
As a general note, it is often easier computationally to minimize $f(x,y,z)=x^2+y^2+z^2$ rather than $f(x,y,z)=\sqrt{x^2+y^2+z^2}$ - it yields the same answer as well.
Aug
11
revised Simplify $(7-2i)(7+2i)$. Found difference between mine and solution guide's and didn't know why.
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Aug
11
comment Simplify $(7-2i)(7+2i)$. Found difference between mine and solution guide's and didn't know why.
Perhaps you are thinking of $i$ as a variable when what is meant is $i=\sqrt{-1}$ so that when you FOIL out you get $i^2=-1$.
Aug
9
reviewed Leave Open Calculus problem with a triple equation
Aug
9
comment An integral that might contain a typo
You can feel comfortable assuming this is the case given wolframalphas evaluation: wolframalpha.com/input/?i=integrate+x%5E8+sqrt%287%2B2x%5E5%29
Aug
9
comment Possible Prime Sum Pattern (Amateur)
Yes, what you said was just backwards from what I said (you went backwards, I went forwards) except for where you said 'adding a prime number of primes'. You are adding an even amount of primes (excluding two) whose sum is even.
Aug
7
comment question on differentiable and continious function
You can find the function here: en.wikipedia.org/wiki/Sign_function just look what $f(x)$ is if $x>0$, if $x<0$, and if $x=0$. Does that function look familiar?