2,443 reputation
838
bio website
location Calgary
age 20
visits member for 2 years, 10 months
seen Aug 25 at 1:21

I just finished my 3rd year of an Honours Pure Mathematics degree at the University of Calgary. I have done research on applications of simplicial complexes to tetrahedron packing and contact number problems in sphere packings, non-standard models of Peano arithmetic, diagonal distance in quantum error correcting codes, asymptotic combinatorics of modal frames and game theory applications, nilpotent orbit varieties, and bicyclic convex 4-polytopes. I also defined a sequent calculus for dynamic topological logic, wrote a computational chemistry paper introducing the notion of Benzene aromarings, am collaborating with physicists on a black hole physics paper, and am involved in a photovoltaic systems engineering project. I am also currently writing a book on the Geometric Analysis of Convex Bodies which studies the theory of rectification, the connection between elliptic curves and lattice packings, non-congruent sphere packing kissing numbers, homothetic translative covering problems, totally separable sphere packings, and the Mahler conjecture. Mathematically, my main goal before I finish my undergraduate is to prove the Mahler conjecture for certain classes of convex 3-polytopes and 4-polytopes and to finish my book project.


Aug
25
accepted Calculating volume of spherical wedge from parallelepiped corner
Aug
23
comment Calculating volume of spherical wedge from parallelepiped corner
Thanks for the answer! Any ideas for I might be able to generalize the same calculation to higher dimensions?
Aug
22
comment Calculating volume of spherical wedge from parallelepiped corner
@WillJagy: An unfortunate typo, I meant angle between each edge.
Aug
22
revised Calculating volume of spherical wedge from parallelepiped corner
edited body
Aug
21
asked Calculating volume of spherical wedge from parallelepiped corner
Aug
14
awarded  Popular Question
Aug
12
awarded  Popular Question
Jul
2
awarded  Curious
Jul
2
awarded  Inquisitive
Jun
12
comment Pointwise convergence of sequence of functions $f_n(x) = \sin(\frac{x}{n})$ where $f_n: \mathbb{R} \rightarrow \mathbb{R}$
Fill in the definition of pointwise convergence for this example and it will be clear based on continuity of $\sin$.
Jun
12
comment Fitch-Style Proof
@GitGud: There is no hard work in this question and I was giving him a strategy instead of a full Fitch proof. Mine does work formally, minus some $\wedge$-Elim's I didn't explicitly mention; there is no "correct" strategy for giving a simple proof like this.
Jun
10
answered Fitch-Style Proof
Jun
10
comment Let $K = \mathbb{Q}(i2^{1/3}, 3^{1/4})$. Is this a Galois extension?
That doesn't seem like a reason why it would not be a Galois extension as abelian Galois extensions are cyclotomic by the Kronecker-Weber theorem.
May
18
awarded  Notable Question
May
15
accepted Mahler volume of regular polygons
May
15
comment Mahler volume of regular polygons
Oh my. I can't believe I've been so mistaken, I realize all of the work I have done is still valid (I'm writing a few papers and working on a book project) but I just need to replace the word dual with rectification everywhere, and none of it is relevant to Mahler volume anymore. Thank you for the clarification.
May
15
reviewed Approve suggested edit on Algebra I: Cyclic Generators
May
14
asked Mahler volume of regular polygons
May
14
accepted Question about the proof of consistency iff satisfiability of a theory
Apr
22
reviewed Approve suggested edit on $f(x)=-4x^2+11126x-62516$. Time and how many