{"id":140,"date":"2013-11-19T23:34:36","date_gmt":"2013-11-19T23:34:36","guid":{"rendered":"https:\/\/community.scrippscollege.edu\/ctowse\/?page_id=140"},"modified":"2022-06-22T21:24:26","modified_gmt":"2022-06-22T21:24:26","slug":"student-research","status":"publish","type":"page","link":"https:\/\/community.scrippscollege.edu\/ctowse\/student-research\/","title":{"rendered":"Student Research"},"content":{"rendered":"<div id=\"tabs-32\" class=\"shortcode-tabs default\"><ul class=\"tab_titles\">\n<li class=\"nav-tab\"><a href=\"#tab-1\">Supervised Senior Theses<\/a><\/li>\n<li class=\"nav-tab\"><a href=\"#tab-2\">Claremont REU<\/a><\/li>\n<li class=\"nav-tab\"><a href=\"#tab-3\">Fletcher Jones Math Fellowships<\/a><\/li>\n<\/ul>\n <div class=\"tab tab-supervised-senior-theses\"><\/p>\n<ul>\n<li><strong>Elliptic Curve Encryption and Factorization<\/strong>, by Keith Richey, (Pomona) 2000.<\/li>\n<li><strong>Error-Correcting Codes and Artificial Intellegence Applications<\/strong>, by Leah Barnes, (Pomona) 2000.<\/li>\n<li><strong>Generalized Continued Fractions<\/strong>, by Jeff Gernes, (Pomona) 2001.<\/li>\n<li><strong>An Investigation of Elliptic Curves and L-functions<\/strong>, by <a href=\"http:\/\/erg.berkeley.edu\/people\/Student_Spotlight\/Student_Spotlight_Anne_Short.shtml\" target=\"_blank\" rel=\"noopener\">Anne Short<\/a>, (HMC) 2002.<\/li>\n<li><strong>p-adic Dynamics and Formal Groups (The quest for unity)<\/strong>, by <a href=\"http:\/\/homepages.umflint.edu\/~mclemanc\/index-2.html\" target=\"_blank\" rel=\"noopener\">Cam McLeman<\/a>, (HMC) 2002.<\/li>\n<li><strong>Associated Primes of Powers of Monomial Ideals<\/strong>, by Jennifer von Reis*, 2003.<\/li>\n<li><strong>Integral Transform Computations of Igusa Local Zeta Functions<\/strong>, Annalee Wiswell Gomm**, 2005.<\/li>\n<li><strong>Galois Theory: A Study of Cyclotomic Field Extensions<\/strong>, Lisa Lambeth, 2005.<\/li>\n<li><strong>The Eisenstein Series and an Introduction to Modular Forms<\/strong>, Rebecca Menke, 2006.<\/li>\n<li><strong>When Is a Prime Not a Prime? (Prime decomposition over quadratic and bi-quadratic number rings)<\/strong>, <a href=\"http:\/\/math.arizona.edu\/people\/profile.html?n=pvprasad\" target=\"_blank\" rel=\"noopener\">Priya Prasad<\/a>, 2006.<\/li>\n<li><strong>Sophie Germain: math\u00e9maticienne extraordinaire\u2020<\/strong>, Aleksandra Stein, 2006.<\/li>\n<li><strong>Fractals: Dimension, Generation, and Iterated Function Systems<\/strong>, Amanda Painter, 2007.<\/li>\n<li><strong>Classes and Genera of Integral Binary Quadratic Forms<\/strong>, <a href=\"http:\/\/www.math.unl.edu\/~s-kshulti1\/\" target=\"_blank\" rel=\"noopener\">Kat Shultis<\/a>, 2007.<\/li>\n<li><strong>Falling Costs of Offshoring and Wages<\/strong>, Rebecca Sheng, 2008.<\/li>\n<li><strong>Elliptic Curves and the Birch Swinnerton-Dyer Conjecture (The million-dollar donut)<\/strong>, <a href=\"http:\/\/lucian.uchicago.edu\/blogs\/gms\/current-students\/\" target=\"_blank\" rel=\"noopener\">Sarah Iker<\/a>, 2009.<\/li>\n<li><strong>Pappas\u2019 Hexagon Theorem\u2021<\/strong>, Katie Ford, 2010.<\/li>\n<li><strong>Abelian Galois Groups and Complex Multiplication<\/strong>, Charlotte Lee, 2010.<\/li>\n<li><strong>Stripping it Down: Investigation of Symmetry and Wallpaper Groups<\/strong>, <a href=\"http:\/\/worldfoodtravel.blogspot.com\/\" target=\"_blank\" rel=\"noopener\">Kelsey Roberts<\/a>, 2010.<\/li>\n<li><strong>Constructing Phylogenetic Trees using Maximum Likelihood<\/strong>, Anna Cho, 2012.<\/li>\n<li><strong>Generalized Sat0-Tate Conjecture: Distribution of Curves over Finite Fields<\/strong>, Amanda Clemm, 2012.<\/li>\n<li><strong>Newton Polygons<\/strong>, Julia Ogburn, 2013.<\/li>\n<li><strong>Mordell&#8217;s Theorem and Ranks of Elliptic Curves<\/strong>, Tracy Layden, 2013.<\/li>\n<li><strong>There and Back Again: Elliptic Curves, Modular Forms, and L-Functions<\/strong>, Allison Arnold-Roksandich, (HMC) 2014.<\/li>\n<li><strong>Galois Representations Attached to Elliptic Curves: A &#8220;Dearest Dream of Youth,&#8221;<\/strong> Jacob Morris-Knowler, (Pomona) 2014.<\/li>\n<li><strong>A Cryptographic Attack: Finding the Discrete Algorithm on Elliptic Curves of Trace One<\/strong>, Tatiana Bradley, 2015. (I was second reader, but I&#8217;m going to count this one, anyway.)<\/li>\n<li><strong>Graphical Applications of Complex and Quaternionic Fractional Linear Transformations<\/strong>, Indra (Lizzie) Kumar, 2016.<\/li>\n<li><strong>Counting Trees: Cayley&#8217;s Theorem and Kirchhoff&#8217;s Theorem, Explained<\/strong>, Lauren Stanislaw, 2018.<\/li>\n<li><strong>Interpolating the Riemann Zeta Function in the p-adics<\/strong>, Becca Mamlet, 2022.<\/li>\n<li><strong>Cryptography and Digital Signatures<\/strong>, Maya Nichols, 2022.<\/li>\n<\/ul>\n<p>*Fullbright Scholar! Congrats, Jenny!<br \/>\n**Honorable Mention: Alice Shafer Prize.<br \/>\n\u2020dual with French Studies<br \/>\n\u2021dual with Classics<\/div><!--\/.tab--> <div class=\"tab tab-claremont-reu\">Chris was the Director of the Claremont Colleges Mathematics <a href=\"http:\/\/www.nsf.gov\/crssprgm\/reu\/list_result.jsp?unitid=5044&amp;d-49653-p=3\" target=\"_blank\" rel=\"noopener\">REU<\/a> Site in <a href=\"http:\/\/ccms.claremont.edu\/REU2009\" target=\"_blank\" rel=\"noopener\">2009<\/a>, <a href=\"http:\/\/ccms.claremont.edu\/REU2010\" target=\"_blank\" rel=\"noopener\">2010<\/a>, and <a href=\"http:\/\/ccms.claremont.edu\/REU2011\" target=\"_blank\" rel=\"noopener\">2011<\/a>..<\/div><!--\/.tab--><\/p>\n<p><div class=\"tab tab-fletcher-jones-math-fellowships\"> Chris was the Director of the Fletcher Jones Summer Math Fellowship program in <a href=\"http:\/\/ccms.claremont.edu\/Fletcher-Jones-Fellowships\" target=\"_blank\" rel=\"noopener\">2012<\/a>.<\/div><!--\/.tab--> \n<div class=\"fix\"><\/div><!--\/.fix-->\n<\/div><!--\/.tabs-->\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":15,"featured_media":0,"parent":0,"menu_order":3,"comment_status":"closed","ping_status":"open","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-140","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/pages\/140","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/users\/15"}],"replies":[{"embeddable":true,"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/comments?post=140"}],"version-history":[{"count":0,"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/pages\/140\/revisions"}],"wp:attachment":[{"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/media?parent=140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}