Aaron Kaufer

iOS Development

Fluent in Swift and Objective-C

Strong understanding of Cocoa Touch frameworks and MVC pattern

11 years experience (Hobby, Professional)

C/C++

Fluent in C and C++

Strong understanding of low-level memory concepts

7 years experience (Hobby, Academic)

Python

Fluent in Python

Familiarity with scientific packages including NumPy and MatPlotLib

4 years experience (Hobby, Academic)

JavaScript/NodeJS

Proficient in JavaScript and NodeJS

Familiarity with web server packages including Express

1 year experience (Hobby)

For-Profit Colleges

For my freshman writing seminar, I wrote a paper detailing the pros and cons of for-profit colleges with a focus on their impact on underserved communities.

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Public School Funding

For my sophomore writing seminar, I wrote a paper proposing an adjustment to the way public schools are currently funded so as to ensure more equitable funding distributions.

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Kasteleyn's Theorem on Domino Tilings

In this paper, which was an expository paper I wrote for MIT PRIMES, I tackle the question of "How many \(1 \times 2\) dominoes can fit in a general \( n \times m \) rectangle?" Using techniques in spectral graph theory, a shocking explicit formula is derived: $$T_{n,m}= \prod_{j=1}^n \prod_{k=1}^m \left( 4\cos\left(\frac{\pi j}{n+1}\right)^2 + 4\cos\left(\frac{\pi k}{m+1}\right)^2 \right)^{1/4}$$

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Superalgebra in Characteristic 2

This paper is a composite of the year of research I did at MIT PRIMES. During this year, I studied structures known as \(d\)-algebras and generalized results from standard commutative algebra and lie algebra to this new setting.

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