{"id":17,"date":"2013-11-08T19:06:00","date_gmt":"2013-11-08T19:06:00","guid":{"rendered":"https:\/\/community.scrippscollege.edu\/ctowse\/?page_id=17"},"modified":"2015-03-11T22:44:08","modified_gmt":"2015-03-11T22:44:08","slug":"research","status":"publish","type":"page","link":"https:\/\/community.scrippscollege.edu\/ctowse\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<div id=\"tabs-97\" class=\"shortcode-tabs default\"><ul class=\"tab_titles\">\n<li class=\"nav-tab\"><a href=\"#tab-1\">Research Interests<\/a><\/li>\n<li class=\"nav-tab\"><a href=\"#tab-2\">Papers<\/a><\/li>\n<\/ul>\n <div class=\"tab tab-research-interests\">Arithmetic Geometry and Riemann surfaces (Weierstrass Points), Algebraic Number Theory (Generalized Continued Fractions), Combinatorics (Chain Partitions)<\/div><!--\/.tab--> <div class=\"tab tab-papers\"><\/p>\n<ul>\n<li><a href=\"http:\/\/www.ams.org\/journals\/tran\/1996-348-08\/S0002-9947-96-01649-2\/S0002-9947-96-01649-2.pdf\" target=\"_blank\"><strong>Weierstrass Points on Cyclic Covers of the Projective Line<\/strong><\/a>, <a href=\"http:\/\/www.ams.org\/journals\/tran\/1996-348-08\/home.html\" target=\"_blank\">Trans. Amer. Math. Soc. 348 (1996) <\/a>3355&#8211;3378.<\/li>\n<li><a href=\"http:\/\/journals.cambridge.org\/action\/displayFulltext?type=1&amp;pdftype=1&amp;fid=37230&amp;jid=PSP&amp;volumeId=122&amp;issueId=03&amp;aid=37229\" target=\"_blank\"><strong>Weierstrass Weights of Fixed Points of an Involution<\/strong><\/a>, <a href=\"http:\/\/journals.cambridge.org\/action\/displayJournal?jid=PSP\" target=\"_blank\">Math. Proc. Camb. Phil. Soc.<\/a>, <a href=\"http:\/\/journals.cambridge.org\/action\/displayIssue?decade=1990&amp;jid=PSP&amp;volumeId=122&amp;issueId=03&amp;iid=37194\" target=\"_blank\">122 no. 3<\/a> (1997), 385&#8211;392.<\/li>\n<li><a href=\"http:\/\/msp.org\/pjm\/2000\/193-2\/pjm-v193-n2-p12-s.pdf\" target=\"_blank\"><strong>Generalized Wronskians and Weierstrass Weights<\/strong><\/a>, <a href=\"http:\/\/msp.org\/pjm\" target=\"_blank\">Pac. J. Math.<\/a>, <a href=\"http:\/\/msp.org\/pjm\/2000\/193-2\/index.xhtml\" target=\"_blank\">193, no.2<\/a> (2000), 501&#8211;508.<\/li>\n<li><a href=\"http:\/\/link.springer.com\/content\/pdf\/10.1007%2FPL00000494.pdf\" target=\"_blank\"><strong>Continued fraction representations of units associated with certain Hecke groups<\/strong><\/a>, with D. Rosen, <a href=\"http:\/\/link.springer.com\/journal\/13\" target=\"_blank\">Archiv Math<\/a>., <a href=\"http:\/\/link.springer.com\/journal\/13\/77\/4\/page\/1\" target=\"_blank\">77, no. 4<\/a> (2001), 294&#8211;302.<\/li>\n<li><a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0097316501931942\/pdf?md5=88fa9919e78d8cb1892a92257fbde12b&amp;pid=1-s2.0-S0097316501931942-main.pdf\" target=\"_blank\"><strong>Partitioning the Boolean lattice into chains of large minimum size<\/strong><\/a>, with Tim Hsu, Mark Logan, and Shahriar Shahriari, <a href=\"http:\/\/www.journals.elsevier.com\/journal-of-combinatorial-theory-series-a\" target=\"_blank\">J. Comb. Theory &#8211; A<\/a>,<a href=\"http:\/\/www.sciencedirect.com\/science\/journal\/00973165\/97\/1\" target=\"_blank\"> 97, no. 1<\/a> (2002), 62&#8211;84.<\/li>\n<li><a href=\"http:\/\/www.sciencedirect.com\/science\/article\/pii\/S0195669802001336\" target=\"_blank\"><strong>Partitioning the Boolean lattice into a minimal number of chains of relatively uniform size<\/strong><\/a>, with Tim Hsu, Mark Logan, and Shahriar Shahriari, <a href=\"http:\/\/www.journals.elsevier.com\/european-journal-of-combinatorics\" target=\"_blank\">European J. Combin.<\/a>, <a href=\"http:\/\/www.sciencedirect.com\/science\/journal\/01956698\/24\/2\" target=\"_blank\">24, Issue 2<\/a> (2003), 219&#8211;228.<\/li>\n<li><a href=\"http:\/\/journals.impan.gov.pl\/cgi-bin\/aa\/pdf?aa134-4-04\" target=\"_blank\"><strong>Generalized continued fractions and orbits under the action of Hecke triangle groups<\/strong><\/a>, with Hanson, Elise; Merberg, Adam; and Yudovina, Elena.<a href=\"http:\/\/journals.impan.gov.pl\/aa\/\" target=\"_blank\"> <em>Acta Arith<\/em>.<\/a> <a href=\"http:\/\/journals.impan.gov.pl\/aa\/Cont\/aa134-4.html\" target=\"_blank\">134 (2008), no. 4<\/a>, 337-348.<\/li>\n<li><a href=\"http:\/\/www.codee.org\/ref\/CJ14-1237\" target=\"_blank\"><strong>Teaching Differential Equations with Graphics and without Linear Algebra<\/strong><\/a>, with Lal, Nishu. <a href=\"http:\/\/www.codee.org\/library\">CODEE journal<\/a> (2014).<\/li>\n<\/ul>\n<p><\/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":4,"comment_status":"closed","ping_status":"open","template":"","meta":{"_acf_changed":false,"footnotes":""},"class_list":["post-17","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/pages\/17","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=17"}],"version-history":[{"count":0,"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/pages\/17\/revisions"}],"wp:attachment":[{"href":"https:\/\/community.scrippscollege.edu\/ctowse\/wp-json\/wp\/v2\/media?parent=17"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}