Cameron Williams

United States

I am a postdoctoral fellow at the University of Houston studying analysis. My interests are coupled supersymmetry (https://arxiv.org/abs/1701.02767), abstract harmonic analysis, and integral transform theory.

top accounts reputation activity bookmarks subscriptions

Fiancée has a position lined up, but none of the universities in the area are hiring. What else can I do to get an academic position in the area?

mathematics job-search two-body-problem asked Dec 28 '16 at 22:17

academia.stackexchange.com

34 votes

Is the “product rule” for the boundary of a Cartesian product of closed sets an accident?

general-topology soft-question asked Sep 21 '14 at 0:36

math.stackexchange.com

21 votes

Why study operator spaces?

functional-analysis operator-algebras operator-spaces asked Sep 26 '13 at 17:38

math.stackexchange.com

20 votes

Proving facts about groups with representation theory.

group-theory representation-theory asked Jan 31 '14 at 4:36

math.stackexchange.com

12 votes

The spectrum of a product of operators

functional-analysis operator-theory spectral-theory asked Oct 14 '14 at 0:02

math.stackexchange.com

12 votes

Why do we first introduce the open set definition for continuity instead of the neighborhood definition?

general-topology math-history teaching philosophy asked Dec 16 '14 at 3:47

math.stackexchange.com

12 votes

Extending the domains of densely defined bounded integral transforms on $L^2(\Bbb R)$

functional-analysis integral-transforms asked Sep 4 '15 at 3:31

math.stackexchange.com

11 votes

What plays the role of the identity for the generalized convolution associated to the Fourier-Bessel transform?

functional-analysis distribution-theory convolution integral-transforms asked Jul 21 '15 at 20:00

math.stackexchange.com

11 votes

When is a binomial coefficient a factorial, i.e. when is $\binom{m}{j} = n!$ for some $n,m,j$?

number-theory binomial-coefficients factorial asked Jun 11 '15 at 20:58

math.stackexchange.com

9 votes

A closed form expression for $\int_0^{\infty} (t^2+t^4)^n e^{-t^2-t^4}\,dt$

definite-integrals special-functions asked Jul 13 '14 at 2:31

math.stackexchange.com

Top Answers

Am I just not smart enough?

math.stackexchange.com

Is it common for an undergraduate thesis in pure mathematics to prove something new?

academia.stackexchange.com

Why are mathematician so interested to find theory for solving partial differential equations but not for integral equation?

math.stackexchange.com

Why is it not true that $\int_0^{\pi} \sin(x)\; dx = 0$?

math.stackexchange.com

How do I tell my supervisor his idea is incorrect?

academia.stackexchange.com

Is this solution mathematically “legal”?

math.stackexchange.com

Why is the derivative of a vector orthogonal to the vector itself?

math.stackexchange.com

$\frac1a+\frac1b+\frac1c=0 \implies a^2+b^2+c^2=(a+b+c)^2$?

math.stackexchange.com

Why is zero the only infinitesimal real number?

math.stackexchange.com

How good do I actually have to be to get into a top graduate program from an average undergraduate program?

academia.stackexchange.com

Upper Bound vs. Least Upper Bound

math.stackexchange.com

What is the relation between a Banach space and a Hilbert space?

math.stackexchange.com

$A^{-1}$ has integer entries if and only if the ${\rm det}\ (A) =\pm 1$

math.stackexchange.com

What is the dot product and why do we need it?

math.stackexchange.com

Why formulate continuity in terms of pre-images instead of image?

math.stackexchange.com

How to prove $\exp(x)/(\exp(x)+1)^2$ is even?

math.stackexchange.com

Determine if the following is surjective

math.stackexchange.com

Do row operations change the column space of a matrix?

math.stackexchange.com

Find $\lim\frac{1}{\sqrt{n}}\left(\frac{1}{\sqrt{1}+\sqrt{3}}+\frac{1}{\sqrt{3}+\sqrt{5}}+\ldots+\frac{1}{\sqrt{2n-1}+\sqrt{2n+1}}\right)$

math.stackexchange.com

Why do you need to use the chain rule in differentiation of ln?

math.stackexchange.com

Must all Lebesgue integrable functions really be invertible?

math.stackexchange.com

Teaching the History of Mathematics in High School

matheducators.stackexchange.com

Integral $\int_0^1 \log \left(\Gamma\left(x+\alpha\right)\right)\,{\rm d}x=\frac{\log\left( 2 \pi\right)}{2}+\alpha \log\left(\alpha\right) -\alpha$

math.stackexchange.com

Importance of groups $(\mathbb R,+)$ and $(\mathbb Z,+)$ for Fourier series

math.stackexchange.com

Why it's true? $\arcsin(x) +\arccos(x) = \frac{\pi}{2}$

math.stackexchange.com

Solve $2^{x+5} - 2^{x+2} = 7$

math.stackexchange.com

Intuition about the semidirect product of groups

math.stackexchange.com

Show $\sum_{i=0}^\infty {k+i \choose k}a^i=\frac1{(1-a)^{k+1}}.$

math.stackexchange.com

Solve equation with $x$ in the exponents

math.stackexchange.com

Convolution and multiplication of polynomials is the same?

math.stackexchange.com

current community

your communities

more stack exchange communities

Stack Exchange

Cameron Williams

Fiancée has a position lined up, but none of the universities in the area are hiring. What else can I do to get an academic position in the area?

Is the “product rule” for the boundary of a Cartesian product of closed sets an accident?

Why study operator spaces?

Proving facts about groups with representation theory.

The spectrum of a product of operators

Why do we first introduce the open set definition for continuity instead of the neighborhood definition?

Extending the domains of densely defined bounded integral transforms on $L^2(\Bbb R)$

What plays the role of the identity for the generalized convolution associated to the Fourier-Bessel transform?

When is a binomial coefficient a factorial, i.e. when is $\binom{m}{j} = n!$ for some $n,m,j$?

A closed form expression for $\int_0^{\infty} (t^2+t^4)^n e^{-t^2-t^4}\,dt$