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| <!DOCTYPE html> | ||
| <html lang=""><head> | ||
| <meta name="generator" content="Hugo 0.118.2"> | ||
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| <meta name="author" content='Joel Dahne'> | ||
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| <link href="https://fonts.googleapis.com/css2?family=Inconsolata:wght@400;700&display=swap" rel="stylesheet"> | ||
| <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/bootstrap@4.5.3/dist/css/bootstrap.min.css" integrity="sha384-TX8t27EcRE3e/ihU7zmQxVncDAy5uIKz4rEkgIXeMed4M0jlfIDPvg6uqKI2xXr2" crossorigin="anonymous"> | ||
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| <link rel="icon" type="image/ico" href="https://dahne.eu/favicon.ico"> | ||
| <link rel="alternate" type="application/rss+xml" href="https://dahne.eu/index.xml" title="Joel Dahne" /> | ||
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| <body><div class="container mt-5"> | ||
| <nav class="navbar navbar-expand-sm flex-column flex-sm-row text-nowrap p-0"> | ||
| <a class="navbar-brand mx-0 mr-sm-auto" href="https://dahne.eu" title="Joel Dahne"> | ||
| <a class="navbar-brand mx-0 mr-sm-auto" href="https://dahne.eu/" title="Joel Dahne"> | ||
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| Joel Dahne | ||
| </a> | ||
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| <div id="content"> | ||
| <div class="container"> | ||
| <figure class="avatar"><img src="/avatar.jpg" | ||
| alt="avatar"/> | ||
| alt="avatar"> | ||
| </figure> | ||
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| <p>I’m a PhD student in mathematics at Uppsala University under the | ||
| supervision of Jordi-Lluís Figueras (Uppsala University), Javier Gómez | ||
| Serrano (Brown University) and Warwick Tucker (Monash University).</p> | ||
| <p>I’ currently a Dunham Jackson Assistant Professor at University of | ||
| Minnesota.</p> | ||
| <p>I finished my PhD in mathematics at Uppsala University in June 2024 | ||
| under the supervision of <a href="https://www2.math.uu.se/~jorfi688/">Jordi-Lluís | ||
| Figueras</a> (Uppsala University), | ||
| <a href="https://web.math.princeton.edu/~jg27/">Javier Gómez Serrano</a> (Brown | ||
| University) and <a href="https://research.monash.edu/en/persons/warwick-tucker">Warwick | ||
| Tucker</a> (Monash | ||
| University).</p> | ||
| <p>My research interests include fluid mechanics, spectral geometry, | ||
| computer algebra and computer assisted proofs.</p> | ||
| <p>Contact: <a href="mailto:[email protected]">[email protected]</a></p> | ||
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| <div class="container text-center"> | ||
| <a href="https://dahne.eu" title="By Joel Dahne"><small>By Joel Dahne</small></a> | ||
| <a href="https://dahne.eu/" title="By Joel Dahne" ><small>By Joel Dahne</small></a> | ||
| </div> | ||
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| <title>Welcome on Joel Dahne</title> | ||
| <link>https://dahne.eu/</link> | ||
| <description>Recent content in Welcome on Joel Dahne</description> | ||
| <generator>Hugo -- gohugo.io</generator> | ||
| <language>en-us</language><atom:link href="https://dahne.eu/index.xml" rel="self" type="application/rss+xml" /> | ||
| <generator>Hugo</generator> | ||
| <language>en-us</language> | ||
| <atom:link href="https://dahne.eu/index.xml" rel="self" type="application/rss+xml" /> | ||
| <item> | ||
| <title>Contact</title> | ||
| <link>https://dahne.eu/contact/</link> | ||
| <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate> | ||
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| <guid>https://dahne.eu/contact/</guid> | ||
| <description> Email: [email protected] </description> | ||
| </item> | ||
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| <item> | ||
| <title>Publications</title> | ||
| <link>https://dahne.eu/publications/</link> | ||
| <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate> | ||
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| <guid>https://dahne.eu/publications/</guid> | ||
| <description>Highest Cusped Waves for the Fractional KdV Equations | ||
| Preprint (2023) [arXiv] | ||
| Highest Cusped Waves for the Burgers-Hilbert Equation | ||
| With J. Gómez-Serrano | ||
| Archive for Rational Mechanics and Analysis, 247, 5 (2023). [arXiv] [DOI] | ||
| A counterexample to Payne&rsquo;s nodal line conjecture with few holes | ||
| With J. Gómez-Serrano and K. Hou. | ||
| Communications in Nonlinear Science and Numerical Simulation, 103, 105957 (2021). | ||
| Special Issue &ldquo;Computer Assisted Proofs in Dynamical Systems&rdquo;. [arXiv] [DOI] | ||
| Computation of tight enclosures for laplacian eigenvalues</description> | ||
| <description>Highest Cusped Waves for the Fractional KdV Equations
Journal of Differential Equations, 401, 550-670 (2024). [arXiv] [DOI] [Code]
Highest Cusped Waves for the Burgers-Hilbert Equation
With J. Gómez-Serrano
Archive for Rational Mechanics and Analysis, 247, 5 (2023). [arXiv] [DOI] [Code]
A counterexample to Payne&rsquo;s nodal line conjecture with few holes
With J. Gómez-Serrano and K. Hou.
Communications in Nonlinear Science and Numerical Simulation, 103, 105957 (2021).
Special Issue &ldquo;Computer Assisted Proofs in Dynamical Systems&rdquo;.</description> | ||
| </item> | ||
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| <title>Software</title> | ||
| <link>https://dahne.eu/software/</link> | ||
| <pubDate>Mon, 01 Jan 0001 00:00:00 +0000</pubDate> | ||
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| <guid>https://dahne.eu/software/</guid> | ||
| <description>In my research I mostly work with the Julia programming language and most of the software I produce tends to be different kinds of Julia packages. You can find most of my packages on GitHub, some of the more important ones are also listed below. | ||
| Arblib.jl Arblib is a Julia package in the public repository which aims to be a thin and efficient wrapper around Arb - a C library for arbitrary-precision ball arithmetic.</description> | ||
| <description>In my research I mostly work with the Julia programming language and most of the software I produce tends to be different kinds of Julia packages. You can find most of my packages on GitHub, some of the more important ones are also listed below.
General purpose packages These packages are intended to be used in multiple settings and could potentially be useful for other people as well.
Arblib.jl Arblib is a Julia package in the public repository which aims to be a thin and efficient wrapper around Arb - a C library for arbitrary-precision ball arithmetic.</description> | ||
| </item> | ||
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