Designation: Head of Department
Phone: 0092-5811-960010; Ext. 226
Dr. Asad Ullah is a faculty member in the department of Mathematics at Karakoram International University Gilgit (KIU) since 2006. He is currently serving as Head of the department of Mathematics. He obtained his Masters Degree in Mathematics from KIU with distinction (Gold medal) and Doctors Degree from University of Science and Technology Beijing (USTB). He has been awarded 'Certificate of excellence' from USTB in recognition of his contribution to the research field. Dr. Asad is the founding Editor-in-Chief of Journal of Mountain Area Research (Official multidisciplinary publication of Karakoram International University) and reviewer of several reputed international journals. Dr. Asad Ullah has been actively participating in arranging national/international conferences and seminars, and also presenting at several national/international conferences and seminars as invited/Keynote speaker.
Download Curriculum Vitae
Applied and Computational Mathematics (Discrete and computational Geometry; Mathematical Morphology; Digital Image Processing and Segmentation; Statistical and Applied Topology; Differential Geometry; Differential Equations); Applications to Materials Science, Physics and Biology (Digital representation of materials microstructures; 3D reconstruction and visualization of microstructures through digital image processing and segmentation techniques; Statistical characterization of microstructures; Curvature driven Grain Growth modeling and simulation; topological effects in cellular grain structures; Modeling, visualization and characterization of cells in plant tissues; Condensed matter Physics).
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Awards and Honors:
Current research engagements:
• Currently, working towards derivation of a new curvature-driven 3D grain growth equation by taking into consideration both the geometrical properties and the topological changes associated with the grains, which can better describe the dynamics of 3D grain growth in space-filling polycrystalline structures. So far, the proposed grain growth models are either purely topological or geometrical. Whereas, just like what Smith had proposed, 3D grain growth is the result of the interaction between 3D grain geometry and topology.
• Another area currently working on is 'Development of topological methods for characterization of cellular structures and to study their evolution'. Normally, grain face is treated as the most intuitional parameter to describe the grain topology, only using faces as variable of the grain growth kinetic equation is not adequate to describe the role that grain topology plays in the course of grain growth. There are other quantities like triple lines and quadruple points etc. The grain face number in grain growth equations must be replaced by a topological index which can completely describe the grain topology.
HEC Approved Ph.D Supervisor (Certified by Higher Education Commission of Pakistan (HEC) to supervise the research thesis of MS & Ph.D students/ indigenous scholarship holders).