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Greatly simplified CSS
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andrewlhicks committed May 22, 2024
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11 changes: 3 additions & 8 deletions index.html
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</head>
<body>
<div class="content" id="header">
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<div class="card">
<h1>Andrew Hicks</h1>
</div>
<div class="card">
<h1>Andrew Hicks</h1>
</div>
</div>
<div class="content">
<div class="row">
<div class="card">
<div class="navbar">
<div class="navbar-left">
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</div>
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</div>
</div>
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<h2>About me</h2>
<div class="columns">
Expand All @@ -56,7 +51,7 @@ <h2>About me</h2>
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<h2>An exposition on the Pythagorean Theorem</h2>
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114 changes: 54 additions & 60 deletions programming/index.html
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</head>
<body>
<div class="content" id="header">
<div class="row">
<div class="card">
<h1>Andrew Hicks</h1>
</div>
</div>
</div>
<div class="content">
<div class="row">
<div class="card">
<div class="navbar">
<div class="navbar-left">
<a class="navlink" href="../">Home</a>
<a class="navlink" href="../research">Research</a>
<a class="navlink" href="../teaching">Teaching</a>
<a class="navlink highlighted" href="../programming">Programming</a>
</div>
<div class="navbar-right">
<a class="txt-logo" target="_blank", href="../documents/Andrew_Hicks_CV.pdf">CV</a>
<a class="img-logo" target="_blank", href="https://github.com/andrewlhicks"><img src="../images/logos/github-mark/github-mark.svg"></a>
<a class="img-logo" target="_blank", href="https://www.linkedin.com/in/andrew-hicks-ba0b29b8/" style="filter: invert(0.8)"><img src="../images/logos/linkedin-mark/In-White-34.png"></a>
</div>
<div class="card">
<div class="navbar">
<div class="navbar-left">
<a class="navlink" href="../">Home</a>
<a class="navlink" href="../research">Research</a>
<a class="navlink" href="../teaching">Teaching</a>
<a class="navlink highlighted" href="../programming">Programming</a>
</div>
<div class="navbar-right">
<a class="txt-logo" target="_blank", href="../documents/Andrew_Hicks_CV.pdf">CV</a>
<a class="img-logo" target="_blank", href="https://github.com/andrewlhicks"><img src="../images/logos/github-mark/github-mark.svg"></a>
<a class="img-logo" target="_blank", href="https://www.linkedin.com/in/andrew-hicks-ba0b29b8/" style="filter: invert(0.8)"><img src="../images/logos/linkedin-mark/In-White-34.png"></a>
</div>
</div>
</div>
<div class="row">
<div class="card">
<h2>Programming</h2>
<div class="card">
<h2>Programming</h2>

<h3>Programming experience</h3>
<p>
I have experience in several programming languages:
<ul>
<li>
<span class="title">Python</span>I have nearly four years of experience writing software in Python.
I created my own software in Python called <i>Q-Tensor-3D</i> (see below), to solve the Landau-de Gennes free energy problem.
I gave a four part, 8 hour lecture series in the Fall of 2021 called "Python for Beginners", via Zoom.
</li>
<li>
<span class="title">HTML/CSS/Javascript</span> I have written the base design for websites, including <a target="_blank" href="http://www.dhicksconsulting.com">dhicksconsulting.com</a> and <a target="_blank" href="http://www.gregorycc.com">gregorycc.com</a>, using HTML and CSS, as well as some Javascript.
</li>
<li>
<span class="title">Linux</span> I am quite familiar with using Linux's command line and can do basic shell scripting.
</li>
<li>
<span class="title">LaTeX</span> This one goes without saying, as every mathematician should know how to use LaTeX well to write papers.
</li>
<li>
<span class="title">C++</span> The latest programming language I've dipped my feet into is C++.
The learning curve has been pretty high for this one, but I'm confident I can master this language as well!
</li>
</ul>
</p>
<h3>Software packages</h3>
<p>
The software packages I have written or are currently working on are listed below:
<ul>
<li>
<span class="title">Q-Tensor-3d (<a href="https://github.com/andrewlhicks/q-tensor-3d" target="_blank">GitHub</a>)</span>
I wrote this software package to solve the Landau-de Gennes free energy problem.
The software is written in Python, and uses the package <a target="_blank" href="https://www.firedrakeproject.org/">Firedrake</a>, an open source FEM package likewise written in Python.
</li>
<li>
<span class="title">SymPyPlus (<a href="https://github.com/andrewlhicks/sympyplus" target="_blank">GitHub</a>)</span>
This package extends SymPy to be able to do calculus of variations.
I use this in conjunction with <i>Q-Tensor-3d</i>.
</li>
</ul>
</p>
</div>
<h3>Programming experience</h3>
<p>
I have experience in several programming languages:
<ul>
<li>
<span class="title">Python</span>I have nearly four years of experience writing software in Python.
I created my own software in Python called <i>Q-Tensor-3D</i> (see below), to solve the Landau-de Gennes free energy problem.
I gave a four part, 8 hour lecture series in the Fall of 2021 called "Python for Beginners", via Zoom.
</li>
<li>
<span class="title">HTML/CSS/Javascript</span> I have written the base design for websites, including <a target="_blank" href="http://www.dhicksconsulting.com">dhicksconsulting.com</a> and <a target="_blank" href="http://www.gregorycc.com">gregorycc.com</a>, using HTML and CSS, as well as some Javascript.
</li>
<li>
<span class="title">Linux</span> I am quite familiar with using Linux's command line and can do basic shell scripting.
</li>
<li>
<span class="title">LaTeX</span> This one goes without saying, as every mathematician should know how to use LaTeX well to write papers.
</li>
<li>
<span class="title">C++</span> The latest programming language I've dipped my feet into is C++.
The learning curve has been pretty high for this one, but I'm confident I can master this language as well!
</li>
</ul>
</p>
<h3>Software packages</h3>
<p>
The software packages I have written or are currently working on are listed below:
<ul>
<li>
<span class="title">Q-Tensor-3d (<a href="https://github.com/andrewlhicks/q-tensor-3d" target="_blank">GitHub</a>)</span>
I wrote this software package to solve the Landau-de Gennes free energy problem.
The software is written in Python, and uses the package <a target="_blank" href="https://www.firedrakeproject.org/">Firedrake</a>, an open source FEM package likewise written in Python.
</li>
<li>
<span class="title">SymPyPlus (<a href="https://github.com/andrewlhicks/sympyplus" target="_blank">GitHub</a>)</span>
This package extends SymPy to be able to do calculus of variations.
I use this in conjunction with <i>Q-Tensor-3d</i>.
</li>
</ul>
</p>
</div>
</div>
</body>
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103 changes: 49 additions & 54 deletions research/index.html
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</head>
<body>
<div class="content" id="header">
<div class="row">
<div class="card">
<h1>Andrew Hicks</h1>
</div>
<div class="card">
<h1>Andrew Hicks</h1>
</div>
</div>
<div class="content">
<div class="row">
<div class="card">
<div class="navbar">
<div class="navbar-left">
<a class="navlink" href="../">Home</a>
<a class="navlink highlighted" href="../research">Research</a>
<a class="navlink" href="../teaching">Teaching</a>
<a class="navlink" href="../programming">Programming</a>
</div>
<div class="navbar-right">
<a class="txt-logo" target="_blank", href="../documents/Andrew_Hicks_CV.pdf">CV</a>
<a class="img-logo" target="_blank", href="https://github.com/andrewlhicks"><img src="../images/logos/github-mark/github-mark.svg"></a>
<a class="img-logo" target="_blank", href="https://www.linkedin.com/in/andrew-hicks-ba0b29b8/" style="filter: invert(0.8)"><img src="../images/logos/linkedin-mark/In-White-34.png"></a>
</div>

<div class="card">
<div class="navbar">
<div class="navbar-left">
<a class="navlink" href="../">Home</a>
<a class="navlink highlighted" href="../research">Research</a>
<a class="navlink" href="../teaching">Teaching</a>
<a class="navlink" href="../programming">Programming</a>
</div>
<div class="navbar-right">
<a class="txt-logo" target="_blank", href="../documents/Andrew_Hicks_CV.pdf">CV</a>
<a class="img-logo" target="_blank", href="https://github.com/andrewlhicks"><img src="../images/logos/github-mark/github-mark.svg"></a>
<a class="img-logo" target="_blank", href="https://www.linkedin.com/in/andrew-hicks-ba0b29b8/" style="filter: invert(0.8)"><img src="../images/logos/linkedin-mark/In-White-34.png"></a>
</div>
</div>
</div>
<div class="row">
<div class="card">
<h2>Research</h2>
<h3>Current research</h3>
<p>
My current research is on the Landau-de Gennes model of liquid crystals, specifically focusing on "cholesteric shells".
Cholesteric shells are hollow shells composed of liquid crystal material, and which exhibit a "twisting" behavior, caused by the structure of the liquid crystal molecules.
</p>
<p class="image">
<img src="../images/layout_cshell_fro.png" alt="Simulation results" width="50%"/>
</p>
<p class="caption">
Simulation results for a cholesteric shell thickness 0.1.
We use twists of 5, 10, 15, 20, and 25.
</p>
<p>
Since these molecules can be represented by a line field defined by unit vector \(n\), we can color a cholesetric shell with coloring \(|n\cdot\nu|\), where \(\nu=[x,y,z]^T\).
This manifests as stripes on the shell which have a period of \(2\pi/\tau_0\), where \(\tau_0\) is the cholesteric twist.
</p><p>
I have studied cholesteric shells under both homeotropic and planar degenerate type weak anchoring schemes.
I employed a finite element discretization of the cholesteric problem, using a gradient descent scheme with initial guess \(n=[\cos(\tau_0z),\sin(\tau_0z),0]^T\) for each \(\tau_0\).
The results of simulating on a shell with an inner radius of 0.9 and outer radius of 1, are shown on the right.
</p>
<p>
For more details, see my research statement, my recent preprint accepted for publication, or my PhD thesis in the links below.
</p>
<h3>Publications</h3>
<p><ol>
<li>A. Hicks and Shawn Walker. "Modeling and Simulation of the Cholesteric Landau-de Gennes model". Preprint accepted for publication in <i>Proceedings of the Royal Society A</i> (<a href="../documents/Andrew_Hicks_Preprint.pdf" target="_blank">link</a>).</li>
</ol></p>
<h3>Other Resources</h3>
<p><ul>
<li>A. Hicks. Research Statement (<a href="../documents/Andrew_Hicks_Research_Statement.pdf" target="_blank">link</a>).</li>
<li>A. Hicks. "Modeling and Numerical Analysis of the Cholesteric Landau-de Gennes Model" (2024). <i>LSU Doctoral Dissertations</i>. 6390 (<a href="https://repository.lsu.edu/gradschool_dissertations/6390/" target="_blank">link</a>).</li>
</ul></p>
</div>
<div class="card">
<h2>Research</h2>
<h3>Current research</h3>
<p>
My current research is on the Landau-de Gennes model of liquid crystals, specifically focusing on "cholesteric shells".
Cholesteric shells are hollow shells composed of liquid crystal material, and which exhibit a "twisting" behavior, caused by the structure of the liquid crystal molecules.
</p>
<p class="image">
<img src="../images/layout_cshell_fro.png" alt="Simulation results" width="50%"/>
</p>
<p class="caption">
Simulation results for a cholesteric shell thickness 0.1.
We use twists of 5, 10, 15, 20, and 25.
</p>
<p>
Since these molecules can be represented by a line field defined by unit vector \(n\), we can color a cholesetric shell with coloring \(|n\cdot\nu|\), where \(\nu=[x,y,z]^T\).
This manifests as stripes on the shell which have a period of \(2\pi/\tau_0\), where \(\tau_0\) is the cholesteric twist.
</p><p>
I have studied cholesteric shells under both homeotropic and planar degenerate type weak anchoring schemes.
I employed a finite element discretization of the cholesteric problem, using a gradient descent scheme with initial guess \(n=[\cos(\tau_0z),\sin(\tau_0z),0]^T\) for each \(\tau_0\).
The results of simulating on a shell with an inner radius of 0.9 and outer radius of 1, are shown on the right.
</p>
<p>
For more details, see my research statement, my recent preprint accepted for publication, or my PhD thesis in the links below.
</p>
<h3>Publications</h3>
<p><ol>
<li>A. Hicks and Shawn Walker. "Modeling and Simulation of the Cholesteric Landau-de Gennes model". Preprint accepted for publication in <i>Proceedings of the Royal Society A</i> (<a href="../documents/Andrew_Hicks_Preprint.pdf" target="_blank">link</a>).</li>
</ol></p>
<h3>Other Resources</h3>
<p><ul>
<li>A. Hicks. Research Statement (<a href="../documents/Andrew_Hicks_Research_Statement.pdf" target="_blank">link</a>).</li>
<li>A. Hicks. "Modeling and Numerical Analysis of the Cholesteric Landau-de Gennes Model" (2024). <i>LSU Doctoral Dissertations</i>. 6390 (<a href="https://repository.lsu.edu/gradschool_dissertations/6390/" target="_blank">link</a>).</li>
</ul></p>
</div>
</div>
</body>
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