2,484 reputation
1140
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location Calgary
age 20
visits member for 3 years, 1 month
seen Dec 16 at 1:58

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.


Dec
9
awarded  Notable Question
Nov
30
awarded  Nice Answer
Nov
18
awarded  Yearling
Oct
19
accepted Has anyone defined a limit of a sequence of fields? In particular, what is the limit of finite fields?
Oct
14
awarded  Notable Question
Oct
10
comment Has anyone defined a limit of a sequence of fields? In particular, what is the limit of finite fields?
@TheoJohnson-Freyd : Thanks for the comment. I've never heard of this generalization of fields. What is it called?
Oct
10
asked Has anyone defined a limit of a sequence of fields? In particular, what is the limit of finite fields?
Oct
9
reviewed Approve Let $f:R \to R$ be a function with $\frac{f(x)f(y)-f(xy)}{3} = x+y+2$ for all real numbers $x,y$. List all possible values for $f(36)$.
Sep
30
awarded  Explainer
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.