{"id":741,"date":"2021-03-22T10:30:13","date_gmt":"2021-03-22T10:30:13","guid":{"rendered":"https:\/\/casm.lums.edu.pk\/?p=741"},"modified":"2021-03-22T10:53:07","modified_gmt":"2021-03-22T10:53:07","slug":"diophantine-approximation-on-planar-curves","status":"publish","type":"post","link":"https:\/\/casm.lums.edu.pk\/index.php\/2021\/03\/22\/diophantine-approximation-on-planar-curves\/","title":{"rendered":"Diophantine approximation on planar curves"},"content":{"rendered":"\n<h6 class=\"has-text-align-center\"><strong>Day and Date: Wednesday&nbsp;(April 26, 2017)<\/strong><\/h6>\n\n\n\n<p class=\"has-text-align-center\"><strong>Time:&nbsp;<\/strong><strong>11.30&nbsp;<\/strong><strong>&nbsp;am to &nbsp;12:30&nbsp;pm<\/strong><\/p>\n\n\n\n<p class=\"has-text-align-center\"><strong>Venue:&nbsp;Conference Room, Dept. of&nbsp;Mathematics, First floor SSE building<\/strong><\/p>\n\n\n\n<p><strong>Abstract:&nbsp;<\/strong>The well-known theorems of Khintchine and Jarnik in&nbsp;Diophantine&nbsp;approximation provide a comprehensive description of the measure theoretic properties of real numbers approximable by rational numbers with a given error. Various generalisations of these fundamental results have been obtained for other settings, in particular, for curves and more generally manifolds. In this&nbsp;talk,&nbsp;I will explain my recent&nbsp;Jarnik type results for a parabola in homogeneous settings. This result is the first of its kind.<\/p>\n\n\n\n<p><strong>Dr. Mumtaz Hussain is a&nbsp;<\/strong><strong>faculty member at La Trobe University (Australia).<\/strong><\/p>\n\n\n\n<p><strong><em>S<\/em><\/strong><strong><em>peaker Biography:<\/em><\/strong><\/p>\n\n\n\n<p><em>Dr Mumtaz Hussain is currently a tenured faculty member at La Trobe university (Australia). Dr Hussain graduated with a PhD from the University of York (UK) after having an M. Phil degree from Quad\u2013i\u2013Azam university (Pakistan).&nbsp; Prior to his current position Dr Hussain held postdoctoral positions at Aarhus university (Denmark), the university of Newcastle (Australia), &nbsp;La Trobe university (Australia) and Brandeis university (USA). Dr. Hussain\u2019s main research strengths are in analytic number theory, dynamical systems and ergodic theory. Dr Hussain has a significant number of publications in leading international journals with renowned researcher across the world. Dr Hussain as made significant contributions in developing a comprehensive metrical theory for absolute value linear forms and, further, established links of this theory in signal processing.&nbsp;<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Day and Date: Wednesday&nbsp;(April 26, 2017) Time:&nbsp;11.30&nbsp;&nbsp;am to &nbsp;12:30&nbsp;pm Venue:&nbsp;Conference Room, Dept. of&nbsp;Mathematics, First floor SSE building Abstract:&nbsp;The well-known theorems of Khintchine and Jarnik in&nbsp;Diophantine&nbsp;approximation provide a comprehensive description of the measure theoretic properties of real numbers approximable by rational numbers with a given error. Various generalisations of these fundamental results have been obtained for &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/casm.lums.edu.pk\/index.php\/2021\/03\/22\/diophantine-approximation-on-planar-curves\/\"> <span class=\"screen-reader-text\">Diophantine approximation on planar curves<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[10],"tags":[],"_links":{"self":[{"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/posts\/741"}],"collection":[{"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/comments?post=741"}],"version-history":[{"count":3,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/posts\/741\/revisions"}],"predecessor-version":[{"id":745,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/posts\/741\/revisions\/745"}],"wp:attachment":[{"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/media?parent=741"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/categories?post=741"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/casm.lums.edu.pk\/index.php\/wp-json\/wp\/v2\/tags?post=741"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}