{"id":21,"date":"2016-07-31T13:42:21","date_gmt":"2016-07-31T13:42:21","guid":{"rendered":"http:\/\/wordpress.rose-hulman.edu\/brought\/?page_id=21"},"modified":"2020-10-18T14:46:40","modified_gmt":"2020-10-18T14:46:40","slug":"research","status":"publish","type":"page","link":"https:\/\/wordpress.rose-hulman.edu\/brought\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<h3>Mathematical Interests and Research<\/h3>\n<ul>\n<li>Automorphism groups of Riemann surfaces and<\/li>\n<li>tilings of the Riemann surfaces &amp; hyperbolic plane.<\/li>\n<li>Two websites of interest are:\n<ul>\n<li><a href=\"http:\/\/www.rose-hulman.edu\/mapub\/autosurf\/\" target=\"_blank\" rel=\"noopener noreferrer\">Automorphisms of Rieman Surfaces\/Algebraic Curves Interest Group<\/a><\/li>\n<li><a href=\"https:\/\/tilingsorg.wordpress.com\/\">Tilings of Surfaces<\/a><\/li>\n<\/ul>\n<\/li>\n<li>Finite group theory<\/li>\n<li>Geometry in dimensions two and three<\/li>\n<li>The mathematics of signal and image processing<br \/>\nHere is the second edition cowritten with my Rose colleague <a href=\"https:\/\/www.rose-hulman.edu\/academics\/faculty\/bryan-kurt-bryan.html\">Kurt Bryan<\/a>.<br \/>\n<a href=\"https:\/\/www.wiley.com\/en-us\/Discrete+Fourier+Analysis+and+Wavelets%3A+Applications+to+Signal+and+Image+Processing%2C+2nd+Edition-p-9781119258247\" target=\"_blank\" rel=\"noopener noreferrer\">Discrete Fourier Analysis and Wavelets \u2013 Applications to Signal and Image Processing<\/a><\/li>\n<li>Lie groups and Lie algebras<\/li>\n<li>Singularities of polynomials of several complex variables<\/li>\n<li>Using computer algebra systems in teaching and research in mathematics<\/li>\n<\/ul>\n<h3 id=\"pubs\">Publications, Technical reports and\u00a0 Presentations<\/h3>\n<ul>\n<li>All my research activities are described in detail on\u00a0 my <a href=\"https:\/\/works.bepress.com\/allen_broughton\/\" target=\"_blank\" rel=\"noopener noreferrer\">BEpress Selected Works site<\/a>.<\/li>\n<li>Here is my\u00a0 (long)\u00a0 curriculum vita <a href=\"http:\/\/wordpress.rose-hulman.edu\/brought\/wp-content\/uploads\/sites\/126\/2016\/07\/vitaSAB_4web.pdf\">Curriculum Vita of S. Allen Broughton<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Mathematical Interests and Research Automorphism groups of Riemann surfaces and tilings of the Riemann surfaces &amp; hyperbolic plane. Two websites of interest are: Automorphisms of Rieman Surfaces\/Algebraic Curves Interest Group Tilings of Surfaces Finite group theory Geometry in dimensions two and three The mathematics of signal and image processing Here is the second edition cowritten&#8230;<\/p>\n","protected":false},"author":112,"featured_media":0,"parent":0,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-21","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/wordpress.rose-hulman.edu\/brought\/wp-json\/wp\/v2\/pages\/21","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wordpress.rose-hulman.edu\/brought\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/wordpress.rose-hulman.edu\/brought\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/brought\/wp-json\/wp\/v2\/users\/112"}],"replies":[{"embeddable":true,"href":"https:\/\/wordpress.rose-hulman.edu\/brought\/wp-json\/wp\/v2\/comments?post=21"}],"version-history":[{"count":40,"href":"https:\/\/wordpress.rose-hulman.edu\/brought\/wp-json\/wp\/v2\/pages\/21\/revisions"}],"predecessor-version":[{"id":519,"href":"https:\/\/wordpress.rose-hulman.edu\/brought\/wp-json\/wp\/v2\/pages\/21\/revisions\/519"}],"wp:attachment":[{"href":"https:\/\/wordpress.rose-hulman.edu\/brought\/wp-json\/wp\/v2\/media?parent=21"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}