Mathematics & Computing Science Student, Programmer, Researcher

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I am currently a student at University of Alberta majoring in Computing Science Specialization alongside
Mathematics.
As of Summer 2019 I am working at The Maple Lab with Professor
Karim Ali.
I am also a developer of Asymptote alongside Professor John C. Bowman, specializing in GUI design and rendering
engine. Apart from that, I also
tutor at Decima
Robinson Support Centre as an undergraduate tutor.
\[
\oint_{\gamma} f(z) \, dz = 2\pi i \sum_{i=1}^n \nu(\gamma, z_i) \text{Res}(f,z_i)
\]
The
Residue Theorem, perhaps
in my opinion the most
elegant formula out there.
My primary interests lies in Pure Mathematics, particular in Complex Analysis, Algebra including Number Theory
and
an intersection between analysis and algebra which includes Analytic Number Theory.
Recently, I have been studying Algebraic Number Theory alongside Measure Theory, which deals which how prime
numbers behave in various algebraic field extensions and what results can be derived from them.
In particular, one has the Class Number Formula which describes the size of the Ideal Class Group of each number
field.
That formula is generally derived from both Algebra and Analysis and serves as a foundation for further study.
\[
a^{\varphi(n)} = 1 \; (\text{mod } n), \quad \text{for all } a\in \mathbb{Z}_p^{\times}
\]
In my secondary interests, I am also interested in Artificial Intelligence Development, Algorithm Design and
analysis of
programs. In
particular, I am interested in how we can use logic and theory to mechanize proofs and develop further
methods
of program analysis.
Many of my work as of recently are in Theoretical Computing Science, focusing on detailed analysis of
algorithms, methods of AI and as stated, mechanizing proofs alongside development of test cases in string
problems.
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