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<title>SOPHIA SAGE ELIA – Sophia Elia</title>
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<h1>
<a href="./">Sophia Elia</a>
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<p> Mathematics PhD </p>
<p> FPGA Developer </p>
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<h1 id="Sophia-Elia">Sophia Elia</h1>
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<div>
<p>My email: sophiasageelia (at) gmail.com</p>
<p>I am currently working as an FPGA Developer focused on digital signal processing at Keysight Technologies in Santa Rosa, California.</p>
<p>In March 2022, I completed my Ph.D. in mathematics as a student of the Discrete Geometry and Discrete Algebraic
Geometry groups at the Freie Universität Berlin.</p>
<p>Here is <a class="reference external" href="./pdfs/CV_2022_07_22_website.pdf">my CV</a>.</p>
<p>My advisors were <a class="reference external" href="href=%22http://www.mi.fu-berlin.de/math/groups/ag-diskret-algebra-geom/members/Professoren/christian_haase.html">Christian
Haase</a>
and <a class="reference external" href="https://jplab.github.io/">Jean-Philippe Labbé</a>.</p>
<p>I was a student of the <a class="reference external" href="https://www.math-berlin.de/">Berlin Mathematical
School</a> and was funded through the
<a class="reference external" href="http://www.facetsofcomplexity.de/">Facets of Complexity</a> research
training group. My research was in discrete geometry and algebraic
combinatorics. I had projects to study equivariant Ehrhart theory,
combinatorial properties of simplicial hyperplane arrangements, and
Ehrhart theory in tropical geometry. I did my Bachelors in mathematics
at the University of California, Berkeley.</p>
<div class="section" id="publications">
<h2>Publications</h2>
<p><a class="reference external" href="https://doi.org/10.1007/s00026-021-00555-2">Congruence Normality of Simplicial Hyperplane Arrangements via Oriented
Matroids</a> with Michael
Cuntz and Jean-Philippe Labbé. <em>Annals of Combinatorics</em>, 2021,
10.1007/s00026-021-00555-2, Package available
<a class="reference external" href="https://github.com/sophiasage/cn_hyperarr">here</a></p>
<p><a class="reference external" href="https://arxiv.org/abs/2110.10204">Rational Ehrhart Theory</a> with
Matthias Beck and Sophie Rehberg, To appear in <a class="reference external" href="https://www.mat.univie.ac.at/~slc/wpapers/FPSAC2022/44.pdf">Proceedings of the 34th International Conference FPSAC 2022</a></p>
<p><a class="reference external" href="https://arxiv.org/abs/2006.01920">Multivariate volume, Ehrhart, and h*-polynomials of
polytropes</a> with Marie-Charlotte
Brandenburg and Leon Zhang, to appear in the <em>Journal of Symbolic Computation Special Issue for MEGA 2021</em></p>
</div>
<div class="section" id="preprints">
<h2>Preprints</h2>
<p><a class="reference external" href="https://arxiv.org/abs/2205.05900">Techniques in Equivariant Ehrhart Theory</a> with Donghyun Kim and Mariel Supina, 2022</p>
</div>
<div class="section" id="sage-tickets">
<h2>Sage Tickets</h2>
<ul class="simple">
<li><a class="reference external" href="https://trac.sagemath.org/ticket/27637">Equivariant Ehrhart
Theory</a>.</li>
<li><a class="reference external" href="https://trac.sagemath.org/ticket/27974">Implement Facets Method For
Polyhedron</a>.</li>
<li><a class="reference external" href="https://trac.sagemath.org/ticket/18957">ehrhart_polynomial should be made available for polytopes defined
over QQ</a>.</li>
<li><a class="reference external" href="https://trac.sagemath.org/ticket/28247">Parametrize the cube/hypercube functions in the library of
polytopes</a>.</li>
<li><a class="reference external" href="https://trac.sagemath.org/ticket/28413">Add .h_star_vector to compact rational
polytopes</a>.</li>
</ul>
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