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@@ -91,7 +91,7 @@ <h2 style="text-align:center;" class="name">Shiyue Li 李詩樂</h2> | |
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<p>Prior, I did my PhD at <a href="https://www.brown.edu/academics/math/">Brown University</a> and my undergraduate studies in math and music at <a href="https://www.hmc.edu">Harvey Mudd College</a>, where I was fortunate to be advised by <a href="https://www.math.brown.edu/~mtchan/">Melody Chan</a> and <a href="https://www.math.hmc.edu/~dk/">Dagan Karp</a> respectively.</p> | ||
<p>In 2023, I got a PhD in mathematics at <a href="https://www.brown.edu/academics/math/">Brown University</a>, where I was fortunate to be advised by <a href="https://www.math.brown.edu/~mtchan/">Melody Chan</a>. Prior, I had a wonderful time doing math and music at <a href="https://www.hmc.edu">Harvey Mudd College</a>, guided by the wisdom of <a href="https://www.math.hmc.edu/~dk/">Dagan Karp</a>.</p> | ||
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<p>Here are my <a href="http://www.shiyue.li/shiyueli-website-2023.pdf">Curriculum Vitae</a>, <a href="https://scholar.google.com/citations?user=wnfrXdMAAAAJ&hl=en">Google Scholar</a>, <a href="https://arxiv.org/search/?query=%22shiyue+li%22&searchtype=all&source=header">arXiv</a> and <a href="mailto:[email protected]">Email</a>.</p> | ||
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<li><a class="article" href="https://arxiv.org/abs/2311.09314" target="blank">Multimatroids and rational curves with cyclic action</a> | ||
<br>(with <a class="journal" href="https://sites.google.com/site/emilyclader/" target="blank" >Emily Clader</a>, <a class="journal" href="https://chiaradamiolini.wixsite.com/1289" target="blank" >Chiara Damiolini</a>, <a class="journal" href="https://people.math.harvard.edu/~ceur/" target="blank" >Christopher Eur</a>, <a class="journal" href="https://www.daojihuang.me" target="blank" >Daoji Huang</a>) | ||
<br> We study the connection between multimatroids and moduli spaces of rational curves with cyclic action. Multimatroids are generalizations of matroids and delta-matroids introduced by Bouchet, which naturally arise in topological graph theory. The vantage point of moduli of curves provides a tropical framework for studying multimatroids, generalizing the previous connection between type-A permutohedral varieties (Losev--Manin moduli spaces) and matroids, and the connection between type-B permutohedral varieties (Batyrev--Blume moduli spaces) and delta-matroids. pecifically, we equate a combinatorial nef cone of the moduli space with the space of ℝ-multimatroids, a slight generalization of multimatroids, and we introduce the independence polytopal complex of a multimatroid, whose volume is identified with an intersection number on the moduli space. As an application, for the generating set of the Chow ring of the moduli space consisting of all psi-classes and their pullbacks along certain forgetful maps, we give a combinatorial formula for their intersection numbers by relating to the volumes of independence polytopal complexes of multimatroids. | ||
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<li><a class="article" href="https://arxiv.org/abs/2308.12285" target="blank" >Kapranov degrees</a> | ||
<br>(with <a class="journal" href="https://web.stanford.edu/~jbrakens/" target="blank" >Joshua Brakensiek</a>, <a class="journal" href="https://people.math.harvard.edu/~ceur/" target="blank" >Christopher Eur</a>, <a class="journal" href="https://stanford.edu/~mwlarson/" target="blank" >Matt Larson</a>) | ||
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<a class="link" href="https://www.jointmathematicsmeetings.org/meetings/national/jmm2024/2300_program_ss17.html#title" target="blank" >(Jan 2024) JMM AMS Special Session on Combinatorial Perspectives on Algebraic Curves and their Moduli</a> | ||
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<a class="link" href="https://funworldseminar.wordpress.com/2022/11/15/the-sun-also-rises-a-review/" target="blank" >(Nov 2023) F1 World Seminar (online)</a> | ||
<a class="link" href="https://funworldseminar.wordpress.com/2022/11/15/the-sun-also-rises-a-review/" target="blank" >(Jan 2024) F1 World Seminar (online)</a> | ||
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<a class="link" href="https://www.mis.mpg.de/calendar/conferences/2023/chow.html" target="blank" >(Oct 2023) Accompanying sessions for Chow Lectures, Max Planck Institute, Leipzig, Germany</a> | ||
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