<html><body style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><head><meta http-equiv="Content-Type" content="text/html; charset=us-ascii"></head><div dir="auto" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;" class=""><br class=""><b class="" style="orphans: 2; widows: 2;"><font size="4" class=""><div class=""><b class=""><span class="" style="font-size: 12pt; font-family: "Times New Roman", serif;"></span></b></div><div class=""><b class=""><br class=""></b></div>Kirsten Eisentraeger</font></b><br class=""><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div dir="auto" class="" style="word-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><div class="" style="orphans: 2; widows: 2;"><div class="" style="margin: 0in 0in 0.0001pt;"><i class=""><font size="4" class="">Penn State University</font></i></div><div class="" style="margin: 0in 0in 0.0001pt;"><span class="" style="font-size: 14px;"><i class=""><p class="MsoNormal" align="center"><o:p class=""></o:p></p></i></span><div class=""><br class=""></div></div><div class="" style="margin: 0in 0in 0.0001pt;"><span class=""><b class=""><font class="" size="4">Wednesday, December 11 at 3:00 pm<br class="">Crerar 390</font></b><br class=""></span></div></div><div class=""><div class="" style="text-align: center;"><font size="4" class=""><font class=""><span class=""><b class="" style="color: rgb(33, 33, 33);"><br class=""></b></span></font></font></div><div class=""><font size="4" class=""><font class=""><span class=""><b class="" style="color: rgb(33, 33, 33);">Title: </b></span></font></font><font size="4" class=""><b class="">Number theory and post-quantum cryptography </b></font></div><div class="" style="color: rgb(33, 33, 33);"><b class=""><font class="" style="font-size: 15px;"><br class=""></font></b></div><div class="" style="color: rgb(33, 33, 33);"><b class=""><font class="" size="4">Abstract:</font></b></div><div class=""><font class=""><span class=""><div class="" style="font-variant-ligatures: normal; background-color: rgb(255, 255, 255);"><div class=""><font class="" size="4"><span class=""><span id="docs-internal-guid-bf351367-7fff-5067-8c8e-0130cc54a81c" class=""><div class="" style="line-height: 1.38; margin-top: 0pt; margin-bottom: 0pt;"><span class=""><span class=""><span class=""><span class=""><span class=""><span class="" style="white-space: pre-wrap;">In this talk we will discuss some problems from number theory for which quantum algorithms provide an exponential speedup and which have connections to cryptography. We will also discuss some of the recently proposed post-quantum cryptosystems that are based on number theoretic assumptions, such as systems based on isogenies between supersingular elliptic curves.</span><br class=""><br class=""></span></span></span></span></span></div></span></span><b class="" style="color: rgb(33, 33, 33);">Bio:</b></font></div></div></span></font></div><div class=""><div class="" style="font-variant-ligatures: normal; background-color: rgb(255, 255, 255);"><font color="#222222" class=""><font size="4" class=""><i class="">Kirsten Eisentraeger is a professor of Mathematics at Penn State University, working in number theory and on classical and quantum algorithms for number theoretic problems. Eisentraeger obtained her Ph.D. from the University of California, Berkeley. Before joining the Math Department at Penn State, she was a member at the Institute for Advanced Study in Princeton and an NSF postdoc at the University of Michigan. Eisentraeger is a Fellow of the American Mathematical Society. She was the recipient of an Alfred P. Sloan Research Fellowship and an NSF CAREER award.</i><br class=""><i class=""> </i></font><br class=""><i class=""><b class=""><font size="4" class="">Host: Fred Chong</font></b></i></font></div><div class="" style="font-variant-ligatures: normal; background-color: rgb(255, 255, 255);"><font color="#222222" class="" size="4"><i class=""><b class=""><br class=""></b></i></font></div><div class="" style="font-variant-ligatures: normal; background-color: rgb(255, 255, 255);"><font color="#222222" class="" size="4"><i class=""><b class="">PDF:</b></i></font></div><div class=""><font color="#222222" class=""><i class="" style="font-size: 15px;"><b class=""></b></i></font></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></div></body></html>