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</o:shapelayout></xml><![endif]--></head><body lang=EN-US link="#0563C1" vlink="#954F72"><div class=WordSection1><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>INSTITUTE FOR ADVANCED STUDY<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>School of Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Princeton, NJ 08540<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><b><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Mathematics Seminars<o:p></o:p></span></b></pre><pre><b><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Week of May 21, 2018<o:p></o:p></span></b></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>--------------<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>**Please note: The only regularly scheduled Mathematics Seminar occurring the week of May 21<sup>st</sup> is the Joint PU/IAS Number Theory Seminar. <o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>--------------<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><b><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Sunday, May 20<o:p></o:p></span></b></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 4:00pm - 7:00pm/Dilworth Room<o:p></o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'>Abstract Link: </span><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=133853"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=133853</span></a></span><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p></o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Institute Film Series in partnership with Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 7:00pm - 9:00pm/Wolfensohn Hall<o:p></o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'>Abstract Link: </span><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=133856"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=133856</span></a></span><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p></o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><b><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Monday, May 21<o:p></o:p></span></b></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Mathematics in Cryptography<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Toni Bluher, National Security Agency<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 9:15am - 10:15am/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Beginner Review Session<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 10:15am - 11:15am/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Mathematics in Post-Quantum Cryptography<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Kristin Lauter, Microsoft Research<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 11:30am - 12:30pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Advanced Review Session<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 1:45pm - 2:45pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Research Seminars<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 2:45pm - 4:15pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: TBA<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Jill Pipher, Brown University<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 4:45pm - 5:45pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><b><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Tuesday, May 22<o:p></o:p></span></b></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Mathematics in Cryptography<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Toni Bluher, National Security Agency<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 9:15am - 10:15am/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Beginner Review Session<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 10:15am - 11:15am/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Mathematics in Post-Quantum Cryptography<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Kristin Lauter, Microsoft Research<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 11:30am - 12:30pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Advanced Review Session<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 2:00pm - 3:00pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Research Seminars/Ambassador Review<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 3:00pm - 4:15pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Ambassador Program Introduction<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 3:00pm - 4:00pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Women in Science Seminar: Career Panel<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 4:45pm - 5:45pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><b><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Thursday, May 24<o:p></o:p></span></b></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Mathematics in Cryptography<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Toni Bluher, National Security Agency<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 9:15am - 10:15am/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Beginner Review Session<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 10:15am - 11:15am/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Mathematics in Post-Quantum Cryptography<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Kristin Lauter, Microsoft Research<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 11:30am - 12:30pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Advanced Review Session<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 2:00pm - 3:00pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Women in Science Seminar Ambassador Program Results<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 4:30pm - 5:30pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Joint IAS/Princeton University Number Theory Seminar<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Burgess bounds for short character sums in new settings<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Lillian Pierce, Duke University; von Neumann Fellow, School of Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 4:30pm - 5:30pm/Fine Hall 214, Princeton University<o:p></o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'>Abstract Link: </span><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=137408"><span lang=FR>http://www.math.ias.edu/seminars/abstract?event=137408</span></a></span><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p></o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span lang=FR style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><b><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Friday, May 25<o:p></o:p></span></b></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Mathematics in Cryptography<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Toni Bluher, NSA<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 9:00am - 10:00am/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Mathematics of Post-Quantum Cryptography<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Speaker: Kristin Lauter, Microsoft Research<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 10:15am - 11:15am/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2018 Program for Women and Mathematics<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Topic: Research Seminars<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>Time/Room: 11:30am - 12:30pm/Simonyi Hall 101<o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><o:p> </o:p></span></pre><p class=MsoNormal style='margin-bottom:3.0pt'><span style='font-family:"Times New Roman",serif'>1 Program dinner<o:p></o:p></span></p><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=133853">http://www.math.ias.edu/seminars/abstract?event=133853</a><br><br><br><o:p></o:p></span></pre><pre><span style='font-size:11.0pt;font-family:"Times New Roman",serif'>2 Institute Film Series in partnership with Women and Mathematics<o:p></o:p></span></pre><p><span style='font-size:11.0pt'>British intelligence agency MI6 in 1939 recruited English mathematician Alan Turing, portrayed by Benedict Cumberbatch, to decipher Nazi codes including Enigma codes. Turing, assisted by Joan Clarke, portrayed by Keira Knightley, worked to analyze them and eventually built a machine to decipher them. The film directed by Morten Tyldum won an Oscar for Best Writing, Adapted Screenplay. <o:p></o:p></span></p><p><span style='font-size:11.0pt'>This film runs 1 hour and 54 minutes. <o:p></o:p></span></p><p style='margin-bottom:3.0pt'><span style='font-size:11.0pt'>The event is free and open to the Institute community. Please note that food and drink are not allowed in Wolfensohn Hall.<o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:12.0pt'><span style='font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=133856">http://www.math.ias.edu/seminars/abstract?event=133856</a><br><br><br><o:p></o:p></span></p><p class=MsoNormal style='margin-bottom:12.0pt'><span style='font-family:"Times New Roman",serif'>3 Burgess bounds for short character sums in new settings <br> Lillian Pierce <o:p></o:p></span></p><p style='margin-bottom:3.0pt'><span style='font-size:11.0pt'>In the late 1950’s, Burgess developed a novel method for bounding short sums of a multiplicative Dirichlet character. This resulted in a subconvexity bound for Dirichlet $L$-functions on the critical line. In recent work, we have adapted the Burgess method to prove bounds for character sums in more general settings, and in particular via an unexpected application of the Vinogradov Mean Value Theorem. We will survey aspects of these methods, including joint works with D.R. Heath-Brown and J. Xu.<o:p></o:p></span></p><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><a href="http://www.math.ias.edu/seminars/abstract?event=137408">http://www.math.ias.edu/seminars/abstract?event=137408</a><br><br><o:p></o:p></span></p><div style='mso-element:para-border-div;border:none;border-bottom:double windowtext 2.25pt;padding:0in 0in 1.0pt 0in'><p class=MsoNormal style='border:none;padding:0in'><span style='font-family:"Times New Roman",serif'><o:p> </o:p></span></p></div><p class=MsoNormal><span style='font-family:"Times New Roman",serif'><br>IAS Math Seminars Home Page:<br><a href="http://www.math.ias.edu/seminars">http://www.math.ias.edu/seminars</a><o:p></o:p></span></p></div></body></html>