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<html>
<head>
<title>Mitchell Faulk</title>
<link rel="stylesheet" type="text/css" href="assets/css/main.css">
<link rel="stylesheet" href="https://cdnjs.cloudflare.com/ajax/libs/font-awesome/4.7.0/css/font-awesome.min.css">
<meta name="viewport" content="width=device-width, initial-scale=1"/>
</head>
<main>
<!-- Landing Area -->
<div id="home" class="container">
<div id="landing-text">
<div id="landing-text-inner">
<h1>Mitchell Faulk</h1>
<h2>Engineer | Educator</h2>
</div>
</div>
<div id="landing-image"></div>
</div>
<!-- Close Landing Area -->
<div id="about" class="container">
<!-- Navigation Bar -->
<div id="navigation">
<div class="button-container">
<a href="#about">About</a>
<a href="#projects">Projects</a>
<a href="#teaching">Teaching</a>
<a href="#research">Research</a>
<a href="#footer">Contact</a>
</div>
</div>
<!-- Close Navigation Bar-->
<!-- About Section -->
<div>
<div class="header">
<h2>About</h2>
</div>
</div>
<div class="caption">
<p>Hello! And welcome to my personal page.</p>
<p>I’m an engineer and educator with a passion for uncovering patterns. My expertise includes project design and management, quantitative analysis and reasoning, and the communication and visualization of data. I thrive in devising simple, easy-to-understand frameworks for complex ideas. My colleagues would describe me as a driven creator whose products set the bar in organization and precision, and my students have praised my ability to communicate with enthusiasm and order—rekindling their own passions for analytical and rigorous thinking. Currently I'm a Software Engineer at Booz Allen Hamilton.</p>
</div>
<!--Close About Section-->
<!--Projects-->
<div id="projects" class="header-container">
<div class="header">
<h2>Projects</h2>
</div>
</div>
<div class="project" id="managed_mischief">
<div class="project-image">
<img src="assets/home/managed_mischief.png" alt="">
</div>
<div class="project-text">
<h3>Managed Mischief</h3>
<p>A mid-size cryptic crossword I made in November 2025.</p>
<a href="crosswords/managed-mischief/" target="_blank">Play Now  ⮕</a>
</div>
</div>
<div class="project" id="first_course">
<div class="project-image">
<img src="assets/home/first_course.png" alt="">
</div>
<div class="project-text">
<h3>First Course</h3>
<p>A mid-size cryptic crossword I made in September 2025.</p>
<a href="crosswords/first-course/" target="_blank">Play Now  ⮕</a>
</div>
</div>
<div class="project" id="crossword">
<div class="project-image">
<img src="assets/home/crossword_grid.png" alt="">
</div>
<div class="project-text">
<h3>Final Inning</h3>
<p>A cryptic crossword I made in June 2025.</p>
<a href="crosswords/final-inning/" target="_blank">Play Now  ⮕</a>
</div>
</div>
<div class="project" id="play_set">
<div class="project-image">
<img src="assets/home/play_set.png" alt="">
</div>
<div class="project-text">
<h3>
Play <b><i>SET</i></b>!
</h3>
<a href="play_set/index.html" target="_blank">PLAY!  ⮕</a>
<a href="https://github.com/mitchellfaulk/play_set" target="_blank">GitHub repository  ⮕</a>
</div>
</div>
<div class="project" id="set">
<div class="project-image">
<img src="assets/home/set_simulator.png" alt="">
</div>
<div class="project-text">
<h3>
<b><i>SET</i></b> game simulator +
</h3>
<p>To simulate the card game <b><i>SET®</i></b> and study
its statistics.
</p>
<a href="assets/home/SET_executive_summary.png" target="_blank">Executive summary  ⮕</a>
<a href="https://mitchellmfaulk.wordpress.com/2022/09/09/clearing-the-table-in-the-game-set/" target="_blank">Blog posts  ⮕</a>
<a href="https://github.com/mitchellfaulk/set-card-game" target="_blank">GitHub repository  ⮕</a>
</div>
</div>
<div class="project">
<div class="project-image" id="generative-squares">
<img src="assets/home/generative_squares.png" alt="">
</div>
<div class="project-text">
<h3>Generative Squares</h3>
<p>To generate 'art' made of (colored) squares using Python.</p>
<a href="gallery/index.html" target="_blank">Gallery  ⮕</a>
</div>
</div>
<!-- Remove this project for now
<div class="project" id="codecademy">
<div class="project-image">
<img src="assets/home/codecademyML.png" alt="">
</div>
<div class="project-text">
<h3>Codecademy certificate on machine learning </h3>
<p>I completed the course Data Scientist: Machine Learning Specialist.</p>
<a href="assets/docs/ml_cert.pdf">Certificate  ⮕</a>
</div>
</div>
-->
<div class="project" id="blog">
<div class="project-image">
<img src="assets/home/australia.png" alt="">
</div>
<div class="project-text">
<h3>Personal Blog</h3>
<a href="https://mitchellmfaulk.wordpress.com/" target="_blank">Blog website  ⮕</a>
</div>
</div>
<div class="project" id="specq">
<div class="project-image">
<iframe src="https://www.youtube.com/embed/OoyZHZRf5j4" alt=""></iframe>
</div>
<div class="project-text">
<h3>Embedding DM Stacks into GIT Quotient Stacks of Linear Representations</h3>
<p>In July 2022 I gave a talk at Spec(Q-bar) on my recent work.</p>
<a href="http://www.fields.utoronto.ca/talks/Embedding-DM-Stacks-GIT-Quotient-Stacks-Linear-Representations" target="_blank">Abstract  ⮕</a>
</div>
</div>
<!-- Remove this project for now
<div class="project" id="icg">
<div class="project-image">
<img src="assets/home/icg2.jpg" alt="">
</div>
<div class="project-text">
<h3>Interactions in Complex Geometry</h3>
<p>In December 2021 I organized a workshop on Complex Geometry at Vanderbilt University.</p>
<a href="https://my.vanderbilt.edu/icg2021/" target="_blank">Workshop webpage  ⮕</a>
<a href="assets/docs/poster.pdf" target="_blank">Poster  ⮕</a>
</div>
</div>
-->
<div class="project" id="do-not-erase">
<div class="project-image">
<img src="assets/home/do-not-erase.jpeg" alt="">
</div>
<div class="project-text">
<h3>Essay for <i>Do Not Erase</i></h3>
<p>I wrote an essay for photographer Jessica Wynne's book profiling scientists. </p>
<a href="https://jessicawynne.com/book-do-not-erase" target="_blank">Author's webpage  ⮕</a>
</div>
</div>
<div class="project" id="nsf">
<div class="project-image">
<img src="assets/home/commuting_hexagon.png" alt="">
</div>
<div class="project-text">
<h3>NSF Graduate Research Fellowship</h3>
<p>In 2015 I was awarded a Graduate Research Fellowship from the National Science Foundation. </p>
<a href="assets/docs/nsf-prop.pdf" target="_blank">Research proposal  ⮕</a>
</div>
</div>
<!--Close Projects-->
<!--Teaching-->
<div id="teaching" class="header-container">
<div class="header">
<h2>Teaching</h2>
</div>
</div>
<!-- Remove this project for now
<div class="project" id="kahler">
<div class="project-image">
<img src="assets/home/kahler.jpeg" alt="">
</div>
<div class="project-text">
<h3>Kahler Geometry</h3>
<p>Graduate-level problem sets and notes for complex geometry, designed for a graduate student at Vanderbilt while I was a postdoc.</p>
<a href="kahler/index.html" target="_blank">Materials  ⮕</a>
</div>
</div>
-->
<div class="project" id="geometry">
<div class="project-image">
<img src="assets/home/geometry.png" alt="">
</div>
<div class="project-text">
<h3>Differential Geometry Notes</h3>
<p>Lecture notes for a first-semester graduate-level course in (Mathematical) Differential Geometry, written as I attended a course by Melissa Liu, and subsequently edited by her afterwards.</p>
<a href="assets/docs/geometry_notes.pdf" target="_blank">PDF  ⮕</a>
<a href="assets/docs/geometry_notes.tex" target="_blank">TEX file  ⮕</a>
</div>
</div>
<div class="project" id="analysis">
<div class="project-image">
<img src="assets/home/warsaw_sinusoid.svg" alt="">
</div>
<div class="project-text">
<h3>Real Analysis Course</h3>
<p>Complete course materials for (Mathematical) Real Analysis, including self-contained lecture notes (96 pages), problem sets, and warm-up exercises.</p>
<a href="analysis/index.html" target="_blank">Course webpage  ⮕</a>
<a href="assets/docs/real_analysis_notes.pdf" target="_blank">Notes  ⮕</a>
</div>
</div>
<!-- Remove this project for now
<div class="project" id="ode">
<div class="project-image">
<img src="assets/home/ode.png" alt="">
</div>
<div class="project-text">
<h3>Ordinary Differential Equations</h3>
<p>Course materials for ODEs, including take-home exams and typed notes (22 pages) on Picard's Existence and Uniqueness Theorem. </p>
<a href="ode/index.html" target="_blank">Materials  ⮕</a>
</div>
</div>
-->
<!-- Remove this project for now
<div class="project" id="calc">
<div class="project-image">
<iframe src="https://www.youtube.com/embed/sYQTj393uaE" alt=""></iframe>
</div>
<div class="project-text">
<h3>Calculus 1 Course Videos</h3>
<p>I created 32 self-contained instructional videos to cover the content of Calculus 1.</p>
<a href="https://www.youtube.com/watch?v=aVd-N8tiXD8&list=PLs2SF46J1wn0lmSX577ZGC1_m62MG_P0L" target="_blank">Playlist  ⮕</a>
<a href="https://www.youtube.com/@mitchellfaulk" target="_blank">YouTube Channel  ⮕</a>
</div>
</div>
-->
<!-- Remove this project for now
<div class="project" id="calciv">
<div class="project-image">
<img src="assets/home/calciv.png" alt="">
</div>
<div class="project-text">
<h3>Calculus IV 2018</h3>
<p>Course webpage for a course on multivariable Calculus I taught at Columbia in 2018.</p>
<a href="calciv/CalcIVSummer2018.html">Webpage  ⮕</a>
</div>
</div>
-->
<div class="project" id="sumr">
<div class="project-image">
<img src="assets/home/knot.png" alt="">
</div>
<div class="project-text">
<h3>Notre Dame Summer Research Experience</h3>
<p>During the summers of 2013, 2014, and 2015, I orchestated a research experience for undergraduates at Notre Dame. </p>
<a href="knot/index.html" target="_blank">2015 Webpage  ⮕</a>
</div>
</div>
<!--Close Teaching-->
<!--Research-->
<div id = "research" class="header-container">
<div class="header">
<h2>Research</h2>
</div>
</div>
<div class="caption">
<ul>
<li>
<p><a href="https://arxiv.org/abs/2111.01068#">Embedding Deligne-Mumford stacks into GIT quotient stacks of linear representations</a></p>
<p>2021 (with M. Liu)</p>
<p>Keywords: Algebraic Geometry, Deligne-Mumford stacks, GIT quotient stacks</p>
</li>
<li>
<p><a href="https://academiccommons.columbia.edu/doi/10.7916/d8-3d8v-a412/download">Some canonical metrics on Kähler orbifolds</a></p>
<p>2019 (PhD Thesis)</p>
<p>Keywords: Complex geometry, Kähler geometry, Canonical metrics, Orbifolds</p>
</li>
<li>
<p><a href="https://arxiv.org/abs/1809.01556">On Yau's Theorem for asymptotically conical orbifolds</a></p>
<p>2018</p>
<p>Keywords: Complex geometry, Kähler geometry, Orbifolds, Ricci curvature</p>
</li>
<li>
<p><a href="https://arxiv.org/abs/1710.11561">On Yau’s Theorem for effective orbifolds</a></p>
<p>2017</p>
<p>Keywords: Complex geometry, Kähler geometry, Orbifolds, Ricci curvature</p>
</li>
<li>
<p><a href="https://journals.uwyo.edu/index.php/ela/article/view/1421">Exact results for perturbation to total positivity and to total nonsingularity</a></p>
<p>2014 (with M. Farber, C.R. Johnson, and E. Marzion)</p>
<p>Keywords: Linear algebra, C4-free graphs, Hadamard core, Matrix perturbation, Projective plane, Total positivity</p>
</li>
<li>
<p><a href="https://www.sciencedirect.com/science/article/pii/S0024379514002213">Equal entries in totally positive matrices</a></p>
<p>2014 (with M. Farber, C.R. Johnson, and E. Marzion)</p>
<p>Keywords: Linear Algebra, Totally positive matrices, Point-line incidences, Bruhat order of permutations, Outerplanar graphs</p>
</li>
<li>
<p><a href="assets/docs/voa-thesis.pdf">On vertex operator algebras, their representations, and corresponding two-dimensional conformal geometry</a></p>
<p>2014 (Undergraduate Thesis)</p>
<p>Keywords: Vertex operator algebras, Non-commutative algebras, Representation theory, Conformal geometry</p>
</li>
</ul>
</div>
<!--Close Research-->
<div class="padding"></div>
</div>
<!--Close Content-->
</main>
<footer id="footer">
<h3>Contact</h3>
<p>I'd love to hear from you!</p>
<p>
<a href="mailto:mitchellmfaulk@gmail.com"><i class="fa fa-envelope"></i></a> 
<a href="https://github.com/mitchellfaulk" target="_blank"><i class="fa fa-github"></i></a> 
<a href="https://www.linkedin.com/in/mitchell-faulk/" target="_blank"><i class="fa fa-linkedin-square"></i></a> 
<a href="https://www.youtube.com/channel/UCQQ647YBAApTrYD5Y_rQC2Q" target="_blank"><i class="fa fa-youtube-play"></i></a>
</p>
</footer>
</html>