Dr Ashraf did his postdoc at University of Southern California, LA, and at the Institute of Parallel and Distributed Computing at University of Stuttgart, Stuttgart, Germany. From the year 2002, he has been working on problems of learning and teaching mathematics at the high school, college and university level. In order to address these and related problems, he has started an innovative and futuristic MS Program at NUST, Islamabad. The name of the graduate program is (ITL) Innovation, Technology, and Learning. It is a close replica of the TIE (Technology, Innovation, Education) program at Harvard University. He has been conducting National & International Workshops on "The Magic and Beauty of Differential Calculus" for the last five years. He had participants from India, China, Ireland, Germany and the UK.

His research work on problems of learning mathematics using technology had been presented in International Conferences in Spain, Portugal, Turkey, Australia, Taiwan and of course Pakistan. 

In 1994, Maxim Kontsevich posed the Homological Mirror Symmetry (HMS) conjecture at the ICM in Zurich. HMS is a homological version (meaning equivalence at the level of categories) of the phenomenon of Mirror Symmetry (MS) observed by Physicists studying string theory. MS serves as an unexpected bridge between the complex geometry of one manifold X and the symplectic geometry of its mirror manifold XV. Fukaya categories, constructed in the works of Kenji Fukaya and collaborators, are fairly complicated entities which constitute the A-side (or the symplectic side) of the HMS conjecture.

In this particular talk, Dr. Haniya Azam will give a down to earth introduction to the Fukaya category of a surface of genus greater than 2. Part of this talk is based on joint work with Christian Blanchet, which is an attempt to give an intrinsic topological model for the Fukaya category of a Riemann surface disregarding the area form (and hence the symplectic structure) on the surface. 

More details about the series here.   

Final Defense Committee (FDC): 

• Dr Nasir Ali (External Examiner)
• Dr Muhammad Faryad
• Dr Amer Rasheed
• Dr Imran Naeem
• Dr Mudassar Razzaq (Supervisor)

Publications:  

Anwar, M. A., Iqbal, K., & Razzaq, M. (2021). Analysis of bio magnetic blood flow in a stenosed bifurcation artery amidst elastic walls. Physics Scripta, 96(8), 085202.

ANWAR, M. A., & RAZZAQ, M. (2021). The effect of the Nusselt number on the bi-viscosity fluid subjected to the discrete heating effect. Journal of Thermal Engineering, 7(7), 1797-1814.

Proceedings:

Predicting Stock Prices using Heston and Geometric Brownian Motion Models

A Study of a Plaque Inhibition Through Stenosed Bifurcation Artery considering a Bio magnetic Blood Flow and Elastic Walls

Conference: Fluid-Structure Interactions, July 2022 in Berlin

Submitted:

Journal: Results in Physics

Title: Fluid-structure interaction (FSI) study of the wavy bifurcated channel with elastic walls (Decision pending)

A Finite Element Method for a Strongly Coupled Fluid-Structure Interaction Problem for a Vertical Flap in a Channel and Aneurysm Hemodynamics

Journal: Applied Mathematics and Computation

Numerical study of flow across an ellipse and a circle placed in a uniform stream of infinite extent.
Journal: Computing and Visualization

A phenomenological model for the plaque rapture through stenosed bifurcated elastic arteries.

Journal: communications in nonlinear science and numerical simulation

Fluid-structure interaction study of flow and conjugate heat transfer in stenosis bifurcation arteries 

Journal: Waves in Random and complex media 

Join Zoom Meeting here.

Meeting ID: 962 1862 7746

Passcode: 962210

Currently, Dr Munir is doing Postdoc at Abdus Salam School of mathematics Lahore Pakistan. His field of interest is Numerical Mathematics and especially numerical solution of PDEs and problem arising in the multi domain modeling with coupling interface conditions. He completed his PhD in the field of numerical mathematics from Otto Von Gureicke University, Magdeburg Germany in December 2020. He has a strong background in the analysis and numeric of PDEs of multi-domain modeling with coupling interface conditions.

Zoom Meeting Link Here.

Meeting ID: 963 4464 2152

Passcode: 176283  

Prof Bernd Sturmfels will present a seminar on ‘Linear PDE with Constant Coefficients’.  He would discuss practical methods for computing the space of solutions to an arbitrary homogeneous linear system of partial differential equations with constant coefficients.  

Read More Here. 

Prof Arni S.R. Srinivasa Rao will present a seminar on ‘Multilevel contours within complex plane bundles'.  He would discuss the behavior of contours and multilevel contours passing through the bundles of complex plane.

Prof Arni S.R. Srinivasa Rao is a Professor within the Medical College of Georgia US, and Director, Laboratory for Theory and Mathematical Modeling, and holds a joint appointment with the College of Science and Mathematics, Augusta University.  He had previously, conducted research and/or taught at Indian Statistical Institute, Mathematical Institute, University of Oxford, Indian Institute of Science and University of Guelph. He had won Heiwa-Nakajima Award (Japan) and Fast Track Young Scientists Fellowship in Mathematical Sciences (DST, New Delhi).  He has made fundamental contributions in multilevel contours on complex plane bundles, stationary population models (Rao’s partition theorem in populations). He is also currently serving as the Senate Affiliate for the Faculty Development Committee of the senate. His research interests are focused in Mathematical and probabilistic methods and models, complex analysis, harmonic analysis, ODE/PDE, Stochastic Processes, Methodologies in Machine Learning and Artificial Intelligence Algorithms in Medicine, biology. 

Please see the enclosed abstract, poster and the link for further details. 

Prof. Nicholas Kevlahan is a Professor in the Department of Mathematics and Statistics at McMaster University, Canada. He has been an invited professor at Université Grenoble-Alpes, INRIA, École Normale Supérieure (Paris), École Polytechnique (Paris), and a visiting researcher at the University of Cambridge. His interdisciplinary research program is focused on advanced mathematical and computational methods for fluid dynamics problems from physics and engineering. His current research includes the theory and computation of fluid turbulence, with a special interest in numerical methods based on the wavelet transform. 

For more details please click here. 

Outcomes

• Mathematical Modeling
• Introduction to Latest Trends and Simulation Environment on HPC Cluster
• Hands-on Material to Execute the Project
• Introduction of Meshing, Visualisation Softwares (Grid3, GMV, ParaView).

The potential audience for this workshop is junior/senior majors following degrees in Mathematics, Computer Science, Physics, or Engineering as well as graduate students.

FEATFLOW is designed for the following three classes of applications:

• Education of students
• Scientific research
• Industrial applications

Prof. Nadir Matringe has a joint appointment in the University of Poitiers, France and Paris-Diderot, France. His area of research is Groups, Representations and Geometry. Particularly, he has been working on the problems related to the Langland program. He holds the honor of being selected for "prime d’excellence scientifique" and in the CNRS delegation multiple times. 

Prof. Nicholas Kevlahan is a Professor in the Department of Mathematics and Statistics at McMaster University, Canada. He has been an invited professor at Université Grenoble-Alpes, INRIA, École Normale Supérieure (Paris), École Polytechnique (Paris), and a visiting researcher at the University of Cambridge. His interdisciplinary research program is focused on advanced mathematical and computational methods for fluid dynamics problems from physics and engineering. His current research includes the theory and computation of fluid turbulence, with a special interest in numerical methods based on the wavelet transform.