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<!DOCTYPE html>
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<head>
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<title>Research — Maria Valdez Cabrera</title>
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<body>
<nav>
<a class="site-name" href="index.html">Maria Valdez Cabrera</a>
<a href="index.html">About</a>
<a class="active" href="Research.html">Research</a>
<a href="Teaching.html">Teaching</a>
</nav>
<div class="page-header">
<h1>Research</h1>
<div class="subtitle">Postdoctoral Fellow · Department of Biostatistics, University of Washington</div>
</div>
<div class="content">
<section>
<h2>Motivation</h2>
<p>The challenge of representing natural processes through mathematical frameworks to capture their inherent complexity fascinates me. Developing appropriate statistical tools for these representations through the lens of Object Oriented Data Analysis is a core motivation that drives my work.</p>
<p>I am eager to contribute to projects where building and analyzing complex mathematical objects can enhance our understanding of pressing biological questions, especially in ecology, disease tracking and disease prevention, as well as sociological questions aimed to improving long-standing problems. My goal is to bridge meaningful biological/sociological insight with methodological innovation, enabling nuanced and data-driven perspectives on how living systems function and evolve.</p>
</section>
<section>
<h2>Current Research</h2>
<p>My current postdoctoral position with <a href="https://statdivlab.github.io/team/amy-willis.html">Dr. Amy Willis</a> aims to build new statistical tools for the analysis of phylogenetic trees.</p>
<div class="research-item">
<p>We introduced a continuous metric between phylogenetic trees with overlapping but non-identical leaves, reflecting the reality of evolutionary histories for transferred genes shared by some but not all bacteria and archea and providing an intuitive comparison method for these trees.</p>
</div>
<div class="research-item in-progress">
<div class="in-progress-label">In Progress</div>
<p>Development of quick and efficient algorithms to compute this distance, along with an R package for its implementation. </p>
<p>Analysis of the properties of the Sample Fréchet Mean for trees in our metric space.</p>
</div>
<div class="research-item">
<p>Collaboration with <a href="https://armeentaeb.github.io/index/">Dr. Armeen Taeb</a> on a new tool for tree reconstruction, employing a Poset structure to guarantee stability and a low False Discovery Rate.</p>
</div>
<div class="research-item in-progress">
<div class="in-progress-label">In Progress</div>
<p>Finalizing the manuscript and publishing an accompanying R package.</p>
</div>
</section>
<section>
<h2>Publications</h2>
<h3>Published Articles</h3>
<div class="pub-entry">
<span class="pub-number">1.</span>
<strong>Valdez Cabrera, M. A.</strong>, & Willis, A. D. (2026). <i>Geometry of the space of phylogenetic trees with non-identical leaves.</i> <span class="pub-tag tag-published">Published</span><br>
Advances in Applied Mathematics, 178. <br>
<a href="https://authors.elsevier.com/c/1mxg9in4Dk5Rt">doi.org/10.1016/j.aam.2026.103091 →</a>
</div>
<div class="pub-entry">
<span class="pub-number">2.</span>
<strong>Valdez Cabrera, M. A.</strong>, & Willis, A. D. (2025). <i>Distances Between Extension Spaces of Phylogenetic Trees</i>. <span class="pub-tag tag-published">Published</span><br>
IEEE Transactions on Computational Biology and Bioinformatics, 22(2), 614–627.<br>
<a href="https://doi.org/10.1109/TCBBIO.2025.3526422">doi:10.1109/TCBBIO.2025.3526422 →</a>
</div>
<div class="pub-entry">
<span class="pub-number">3.</span>
Mirembe, B. G., <strong>Valdez Cabrera, M.</strong>, van der Straten, A., Nakalega, R., Cobbing, M., Mgodi, N. M., Palanee-Phillips, T., Mayo, A. J., Dadabhai, S., Mansoor, L. E., Siva, S., Nair, G., Chinula, L., Akello, C. A., Nakabiito, C., Soto-Torres, L. E., Baeten, J. M., & Brown, E. R. (2022). <i>Correlates of Dapivirine Vaginal Ring Acceptance among Women Participating in an Open Label Extension Trial</i>. <span class="pub-tag tag-published">Published</span><br>
AIDS and Behavior.<br>
<a href="https://doi.org/10.1007/s10461-022-03841-z">doi:10.1007/s10461-022-03841-z →</a>
</div>
<div class="pub-entry">
<span class="pub-number">4.</span>
Urquídez, O., & <strong>Valdez, M.</strong> (2019). <i>Diseño de grafos pesados con n-cíclos persistentes</i>. <span class="pub-tag tag-published">Published</span><br>
Morfismos, Vol. 23 No. 1.
</div>
<h3>Preprints</h3>
<div class="pub-entry">
<span class="pub-number">1.</span>
<strong>Valdez Cabrera, M. A.</strong>, Willis, A. D., & Taeb, A. (2025). <i>Consensus Tree Estimation with False Discovery Rate Control via Partially Ordered Sets.</i> <span class="pub-tag tag-preprint">Preprint</span><br>
<a href="https://doi.org/10.48550/arXiv.2511.23433">doi:10.48550/arXiv.2511.23433 →</a>
</div>
</section>
</div>
<footer>
Maria Valdez Cabrera · Department of Biostatistics, University of Washington
</footer>
</body>
</html>