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56<header class="page-header">
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58    <a class="site-title" href="/">Shelby Cox</a>
59
60    <a href="/projects/" >Projects</a>
61    <a href="/publications/" >Papers</a>
62    <!-- <a href="/talks/" >Talks</a> -->
63    <!-- <a href="/blog/" >Blog</a> -->
64    <a href="/assets/CV_24112025.pdf" >CV</a>
65
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67      <a href="https://github.com/shelbycox"><i class="fab fa-github" aria-hidden="true"></i> GitHub</a>
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73    <div class="page-content">
74      <section class="container home">
75  <h1 id="hi-im-shelby-cox">Hi, I’m Shelby Cox.</h1>
76
77<div class="columns">
78
79  <div class="intro">
80    <p>I am a postdoc in the <a href="https://www.mis.mpg.de/nonlinear-algebra">Non-Linear Algebra Group at the Max Planck Institute for Mathematics in the Sciences</a>. 
81  I work in algebraic statistics and use tools from tropical geometry, algebraic geometry, commutative algebra, and combinatorics. I am particularly interested in problems in phylogenetics.</p>
82
83    <p>

83I completed my Ph.D. at the University of Michigan with <a href="https://websites.umich.edu/~speyer">David Speyer</a> in May 2024. I received my B.S. in mathematics and B.A. in linguistics from UMass Amherst, where I was advised by <a href="https://websites.umass.edu/tevelev/">Jenia Tevelev</a>.</p>
84
85    <p>Here is my <a href="/assets/CV_24112025.pdf">CV (updated November 24, 2025)</a>.</p>
86
87    <p>At SIAM-AG 2025 I organized a mini-symposium on Phylogenetic Networks together with Max Hill, Annachiara Korchmaros, and Danai Deligeorgaki. See <a href="https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=84216">here</a> for more details.</p>
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96    <ul class="no-list">
97      <li><a href="mailto:[email protected]">[email protected]</a></li>
98      <li>F3 04</li>
99    </ul>
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102</div>
103
104<h2 id="recent-papers">Recent <a href="/publications/">Papers</a></h2>
105<p><a href="https://arxiv.org/a/cox_s_1.html"><i class="fab fa-scroll" aria-hidden="true"></i> ArXiv</a>
106<a href="https://scholar.google.com/citations?user=dFznJ9gAAAAJ&amp;hl=en&amp;oi=ao"><i class="fab fa-google" aria-hidden="true"></i> Google Scholar</a></p>
107
108<div class="featured-publications">
109  
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111    
112      <a href="https://arxiv.org/abs/2509.21286" class="publication">
113        <strong>Maxout polytopes</strong>
114        <span class="authors">Andrei Balakin, Shelby Cox, Georg Loho, Bernd Sturmfels</span>.
115        <br />
116        <i>(preprint) arXiv, 2025</i>.
117        
118      </a>
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121    
122      <a href="https://arxiv.org/abs/2505.09584" class="publication">
123        <strong>Tropical Fermat-Weber Points over Bergman Fans</strong>
124        <span class="authors">Shelby Cox, John Sabol, Roan Talbut, Ruriko Yoshida</span>.
125        <br />
126        <i>(accepted) Vietnam Journal of Mathematics, 2025</i>.
127        
128      </a>
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132      <a href="https://lematematiche.dmi.unict.it/index.php/lematematiche/article/view/2744" class="publication">
133        <strong>Tropicalizing binary geometries</strong>
134        <span class="authors">Shelby Cox, Igor Makhlin</span>.
135        <br />
136        <i>(published) Le Matematiche, 2024</i>.
137        
138      </a>
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144      <a href="https://arxiv.org/abs/2402.10322" class="publication">
145        <strong>Maximum Likelihood Degrees of Brownian Motion Tree Models: Star Trees and Root Invariance</strong>
146        <span class="authors">Jane Coons, Shelby Cox, Aida Maraj, Ikenna Nometa</span>.
147        <br />
148        <i>(accepted) Journal of Symbolic Computation, MEGA 2024 Special Edition, 2024</i>.
149        
150      </a>
151    
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153    
154      <a href="https://rdcu.be/eA9b3" class="publication">
155        <strong>Group-Based Phylogenetic Models on 3-Sunlet Networks</strong>
156        <span class="authors">Shelby Cox, Elizabeth Gross, Samuel Martin</span>.
157        <br />
158        <i>(Open access) Bulletin of Mathematical Biology, 2024</i>.
159        
160      </a>
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180<h2 id="featured-projects">Featured <a href="/projects/">Projects</a></h2>
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182<div class="featured-projects">
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192      <div class="project">
193  <span class="title">Tropical Phylogenetics</span>
194  
195    <a href="/projects/#tropical_phylogenetics" class="preview-image" style="background-image: url('/images/projects/fw-cayley-trick.png')"></a>
196  
197  <p>
198    Tropical line segments in tree space.
199
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218      <div class="project">
219  <span class="title">Likelihood Inference for Gaussian Models</span>
220  
221    <a href="/projects/#brownian_motion" class="preview-image" style="background-image: url('/images/projects/brownian-motion.png')"></a>
222  
223  <p>
224    ML degree of Brownian Motion Tree Models.
225
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