学术报告报告题目：The Generalised Baker--Schmidt Problem (1970)
报 告 人：Mumtaz Hussain 博士（澳大利亚拉筹伯大学）
报告时间：2018年11月7日（星期三）下午16:00-17:00
报告地点：4号楼4141室
邀 请 人：李兵 教授
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数学学院
2018年11 月6 日
报告摘要：
The Generalised Baker--Schmidt Problem, inspired by the pioneering work of Alan Baker and Wolfgang Schmidt (1970), is a central problem in metric Diophantine approximation on manifolds. It concerns the estimation of $f$-dimensional Hausdorff measure of the set of $\psi$-approximable points on a nondegenerate manifold. In this talk, I will explain resolution of this problem for a parabola, planar curves and hypersurfaces. These result are the first of their kind.
报告人简介：
Dr Mumtaz Hussain is a Lecturer of Mathematics and Statistics at La Trobe University Australia. He graduated in Mathematics from the University of York (England) in 2011. He held postdoctoral positions at Aarhus University (Denmark) from 2012-2013 and at The University of Newcastle (Australia) from 2013-2014. From 2014-2016 he was a Lecturer of Mathematics at the University of Newcastle (Australia). From 2016-2017 he was an Endeavour Research Fellow at Brandeis University (USA). His research interests include Analytical Number Theory, Diophantine Approximation, Dynamical Systems and Mathematical Education. He was awarded the University of Newcastle Faculty of Science and Technology “Teacher of the Year” in 2016 for his contributions to students learning.