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<div class="" style="word-wrap:break-word"><span class="" style="font-size:14.666666984558105px">This is an announcement of Zelin Lv's MS Presentation</span><br class="" style="font-size:14.666666984558105px">
<span class="" style="font-size:14.666666984558105px">===============================================</span><br class="" style="font-size:14.666666984558105px">
<span class="" style="font-size:14.666666984558105px">Candidate: Zelin Lv</span><br class="" style="font-size:14.666666984558105px">
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<span class="" style="font-size:14.666666984558105px">Date: Wednesday, May 10, 2023</span><br class="" style="font-size:14.666666984558105px">
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<span class="" style="font-size:14.666666984558105px">Time: 3 pm CST</span><br class="" style="font-size:14.666666984558105px">
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<span class="" style="font-size:14.666666984558105px">Remote Location: Meeting ID: 979 2663 7869. Passcode: 430720</span><br class="" style="font-size:14.666666984558105px">
<br class="" style="font-size:14.666666984558105px">
<span class="" style="font-size:14.666666984558105px">Location: JCL 390</span><br class="" style="font-size:14.666666984558105px">
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<span class="" style="font-size:14.666666984558105px">M.S. Paper Title: On the Moments of Random Determinants</span><br class="" style="font-size:14.666666984558105px">
<br class="" style="font-size:14.666666984558105px">
<span class="" style="font-size:14.666666984558105px">Abstract: This thesis investigates the moments of random determinants, specifically focusing on the second, fourth, and sixth moments of determinants of random matrices. The study of random determinants
and their moments has been an active area of research. Building on the existing literature, we provide an in-depth analysis of these moments, offering new insights into their properties and behavior.</span><br class="" style="font-size:14.666666984558105px">
<br class="" style="font-size:14.666666984558105px">
<span class="" style="font-size:14.666666984558105px">Additionally, we introduce a novel approach to compute the determinant of the second moment of determinants of symmetric random matrices. This new method has the potential to contribute to the development
of computing higher moments of determinants of random matrices.</span><br class="" style="font-size:14.666666984558105px">
<br class="" style="font-size:14.666666984558105px">
<span class="" style="font-size:14.666666984558105px">The main contributions of this thesis are: a comprehensive analysis of the second, fourth, and sixth moments of random determinants by applying the existing techniques in an in- tricate way and the proposal
of a new and simple approach for computing the determinant of the determinants of symmetric random matrices, with an application of computing the second moment. This work not only advances our understanding of the moments of random determinants but also presents
potential avenues for further exploration in random matrix theory.</span><br class="" style="font-size:14.666666984558105px">
<br class="" style="font-size:14.666666984558105px">
<span class="" style="font-size:14.666666984558105px">Advisors: Aaron Potechin</span><br class="" style="font-size:14.666666984558105px">
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<span class="" style="font-size:14.666666984558105px">Committee Members: Janos Simon, Aaron Potechin, and Alexander Razborov</span>
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