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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="utf-8">
<title>Matt Adelman</title>
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<meta name="description" content="Matt Adelman's Website">
<meta name="author" content="Matt Adelman">
<link href="data:image/x-icon;base64,AAABAAEAEBAQAAAAAAAoAQAAFgAAACgAAAAQAAAAIAAAAAEABAAAAAAAgAAAAAAAAAAAAAAAEAAAAAAAAAAaAP8AAgANAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAERAAAAAAAREREAAAAAABEREQAAAAAAERERAAAAAAAREREAAAAAABEREQAAAAAAERERAAAAAAAREREAABEAABEREQABERAAERERABEREQAREREBEQAREBEREREQAAEREREREQAAABEREREQAAAAAREREQAAAAAAEREQAAAAAAABEAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA" rel="icon" type="image/x-icon" />
<!-- Le styles -->
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</head>
<body>
<div id="top" class="container-narrow">
<div id="next" class="masthead">
<ul class="nav nav-pills pull-right">
<li id="comp"><a href="#cs">Computer Science</a></li>
<li id="maths"><a href="#math">Mathematics</a></li>
<li id="photos"><a href="#photo">Photography</a></li>
</ul>
<a href=#><h3 id="test" class="muted">A website of</h3></a>
</div>
<hr>
<div class="jumbotron">
<h1 style="font-family:Times">Matt Adelman</h1>
<p class="lead">Computer Scientist, Mathematician, Photographer.</p>
</div>
<hr>
<div class="row-fluid">
<div class="span12">
<h3 id="cs" align="center">Computer Science</h3>
<p align="justify"> All of the projects mentioned here and more can be
found on my <a href="https://www.github.com/adelman"
target="_blank">GitHub</a>. I've worked on a few projects, mostly for
university. I've recently taken interest in functional languages,
specifically <a href="http://www.smlnj.org/" target="_blank">SML</a>.
I took an individual tutorial to explore the work of Chris Okasaki in
his book <em>Purely Functional Data Structures</em>. One of the more
interesting implementations were Binary Random Access Lists. Since
there are no references in a functional setting, we use lists of leaf
complete binary trees trees with special properties to give us
guaranteed logarithmic access and updating to any item in the
list.</p>
<p align="justify">
My biggest project was was an implementation of <a target="_blank"
href="http://en.wikipedia.org/wiki/RSA_(algorithm)">RSA</a> and a
revisit of the Lenstra et al. paper <a target="_blank" href=
"http://eprint.iacr.org/2012/064.pdf">Ron was wrong, Whit is right</a>
. This was a group project and our implementation can be found <a
href="http://carmi.github.com/rsa/code/" target="_blank">here</a>. The
main idea was that we tried to get as many of the certifications from
the top 1,000,000 websites as we could, and then do an analysis using
the Euclidean Algorithm to attempt to find pairs of bad moduli. Our
method and results can all be found on my GitHub.
<p>
<p align="justify">
Recently I've developed an interest for experimental algorithmics and
code tuning. I worked on a project to find the value at which it is
better to use insertion sort than quick sort. Little things like this,
which when used correctly make a vast improvement fascinate me. I
love working on interesting problems and the occasional hacking
together a script to make something easier for me.
<h3 id="math" align="center">Mathematics</h3>
<table cellpadding=20px align="center">
<thead>
<th colspan="2">
Graphics created with Mathematica and GnuPlot respectively.</th>
</thead>
<tbody>
<tr>
<td>
<div class='imageSub'>
<img src="pics/cone.jpg" />
</div>
</td>
<td>
<div class='imageSub'>
<img src="pics/95c.jpg" />
</div>
</td>
</tr>
</tbody>
</table>
<p align="justify">
Some of my favorite topics in math are Number Theory, Real Analysis
and Algebraic Geometry. In my opinion, number theory has the most
immediate and apparent real world applications. Specifically, most
of modern cryptography has its roots in number theory. In addition
primes are totally awesome. They show up everywhere, and we know
almost nothing about them even though we've been studying them, like
forever! Isn't that crazy?! But in all seriousness, I very much
enjoy number theory as a subject and all of the theorems that come
with it. For real analysis, I must say I really like the
fundamentals. Starting off with basically nothing, it gives you the
technology to say so much about the real numbers, and real valued
functions. The completeness axioms are some of my favorites.
</p>
<p align="justify"> This just leaves us with algebraic geometry. Now I
did take Abstract Algebra, but it didn't really capture my attention.
However I must be a visual person, because this class was fantastic.
Theorems like Hilbert's Nullstellensatz, and using affine varietes to
prove the fundamental theorem of algebra is what really caught me. My
final project for that class was a group project where we discussed
the resolution of singularities, including blow-ups and Hironaka's
method. In addition to these courses I have also taken Differential
Equations, Discrete Math and Graduate Algebra as electives. I plan to
take Mathematical Logic in the Spring. Both of the above graphics come
from my Multivariable Calculus class. </p>
<h3 id="photo" align="center">Photography</h3>
<p align="justify"> I have had the great fortune of being able to
visit many countries around the world, and it was on these trips, that
I developed my love for nature photography. There is a certain thrill
that comes with it. You can't simply tell the animal how to stand, or
hope the sun will be just right for a shot of a landscape. If you have
any questions, feel free to <a href="about.html">contact me</a>. The
photos link to the sets they originated from in my Flickr account. If
you want to view the whole photostream, just click <a
href=http://www.flickr.com/photos/mattadelman>here</a>.</p>
<table cellpadding="10px" align="center">
<thead>
</thead>
<tbody>
<tr>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/elephant.jpeg" />
<div class="hover" id="africa">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157626207051083/">Botswana, Africa</a>
</div>
</div>
</div>
</td>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/aruba.jpeg" />
<div class="hover" id="aruba">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157603712138552/">Aruba</a>
</div>
</div>
</div>
</td>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/belize.jpeg" />
<div class="hover" id="belize">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157625728919248/">Belize</a>
</div>
</div>
</div>
</td>
</tr>
<tr>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/home.jpeg" />
<div class="hover" id="home">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157603716605303/">Chester, NJ</a>
</div>
</div>
</div>
</td>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/galapagos.jpeg" />
<div class="hover" id="galapagos">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157603711922160/">Galapagos, Is.</a>
</div>
</div>
</div>
</td>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/africa2.jpg" />
<div class="hover">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157626207051083/">Botswana, Africa</a>
</div>
</div>
</div>
</td>
<tr>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/costa.jpg" />
<div class="hover">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157623120619516/">Costa Rica</a>
</div>
</div>
</div>
</td>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/israel.jpg" />
<div class="hover">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157603709382317/">Mt. Masada, Israel</a>
</div>
</div>
</div>
</td>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/bvi.jpeg" />
<div class="hover" id="bvi">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157604234608272/">British Virgin Is.</a>
</div>
</div>
</div>
</td>
</tr>
<tr>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/africa3.jpg" />
<div class="hover">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157626207051083/">Botswana, Africa</a>
</div>
</div>
</div>
</td>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/hinsdale.jpg" />
<div class="hover">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157603716605303/">Hinsdale, MA</a>
</div>
</div>
</div>
</td>
<td>
<div class='imageSub' style='width:200px;'>
<img src="pics/galapagos2.jpg" />
<div class="hover" id="bvi">
<div class="overlay">
<a target="_blank" class="links"
href="http://www.flickr.com/photos/mattadelman/sets/72157603711922160/">Galapagos, Is.</a>
</div>
</div>
</div>
</td>
</tr>
</tbody>
</table>
</div>
</div>
<hr>
<div class="footer">
<p>© <a href="about.html" style="color:black">Matt Adelman</a> and
<a href="http://twitter.github.com/bootstrap/" style="color:black"
target="_blank">Bootstrap</a> 2012 </p>
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