Adnan Khan's web space

RESEARCH INTERESTS

Mathematical Biology*

Available Projects (with Dr. Mudassar Imran and Dr. Sultan Sial)

Available Projects (with Dr. Durr-e-Ahmed Dr. Mudassar Imran)

Turbulent Transport*

Available Projects (with Dr. Peter Kramer)

Medical Imaging

Projects (with Dr. Natasha Anwar, Dr. Usman Qazi and Dr. Sultan Sial)

Multiscale Processes

Projects

PERSONAL

My Resume

MS Word Format – PDF Format - HTML Format

TEACHING

COURSES TAUGHT

TEACHING MATERIAL Click here for a link to your class webpage

Calculus (Undergraduate) – F’08, W’09, F’09, S’09, S’10, F’10, F’12

Calculus with Theory (Undergraduate) – F’10, S’11, F’11, S’12

Differential Equations (Undergraduate) – S’07, F’11

Probability (Undergraduate) – F‘08

Linear Algebra (Undergraduate) – S’12, F’12

Mathematical Methods for Physicists (Undergraduate) – S’10

Dynamical Systems Theory with Applications (Graduate/Undergraduate) – W’09, S’11

Mathematical Modeling with Applications (Graduate/Undergraduate) – S’08, W’09

Mathematical Biology (Graduate/Undergraduate) - S’10, S’12

Methods of Applied Mathematics (Graduate) – F’09

Applied Stochastic Processes (Graduate/Undergraduate) – F’11

Mathematics of Finance (Graduate/Undergraduate) – F’12

PRESENTATIONS

A Mathematical Model for spread of Dengue Fever

SMB Conference, Knoxville, USA, July 2012

Hedge with an Edge: An Introduction to the Mathematics of Finance

LUMS, Lahore, April 2012

An Invitation to Mathematical Modeling of Epidemics

SSE Faculty Seminar, LUMS, April 2012

Workshop on Stochastic Differential Equations and Statistical Inference for Markov Processes

LUMS, Lahore, January 2012

The Art and Science of Mathematical Modeling

Undergraduate Math Talk at University of Karachi, Karachi, February 2011

Theory of Homogenization with Applications to Turbulent Transport

International Symposium on Frontiers in Computational Sciences, Islamabad, June 2010

Fractional Dimensions, Strange Attractors & Chaos
Popular Math Talk at LUMS-SPADES Psi Fi '10, Lahore, March 2010

Non Standard Homogenization Theory for Transport by a Strong Mean Flow and Periodic Fluctuations
Turbulent Mixing and Beyond Trieste, Italy 2009
(Video available at http://www.ictp.tv/eya/tmb09.php 16:30-17:00 27/7/09)

Parameterization of Water Dynamics Around a Solute using SDEs
Summer School and Workshop on Stochastic Differential Equation Models Middelfart Denmark 2008

Thesis (RPI May 2007) – Parameterization for Some Multiscale Problems in Biology and Turbulence

Parameterization for solvent molecules around a solute
Midwest Quantitative Biology Conference, Michigan 2006

Turbulent Transport in the Presence of Periodic Fluctuations and Strong Mean Flow
Frontiers in Applied and Computational Mathematics, NJIT 2005

Some Non Standard Multiple Scales Problems
SIAM Conference on Applications of Dynamical Systems, Snowbird 2005

STUDENTS SUPERVISED

Undergraduate

Academic Year	Student	Project Title	Next Placement
2011-2012	Wafa Veljee	An Efficient Algorithm for Solving the Poisson Boltzmann Equation for Drug Like Molecules	MS Candidate: University of Alberta
	Kanwal Rizvi	Modeling Recent Outbreaks of Dengue Fever in Pakistan	Research Assistant, Department of Mathematics, LUMS
	Hasin Yousuf & Saad Shabbir	Exchange Rate Fluctuations in Pakistan	PhD Candidate: Carlos III University v
	Haroon Masood	Stochastic Model for Dengue Fever	MS Candidate: Tilburg University
	Laraib Malik	Finite Element Schemes for Valuation of Rainbow Options	v

2010-2011	Anoushe Sheharnaz Hassan	Numerical Methods for Pricing Rainbow Options	MS Student: University of Western Ontario
	Haris Baig & Faiza Khan	Computer Aided Analysis of RFLP Gel Images for an HCV Assay	PhD Student: Dartmouth College MS Student: Stonybrook University

2009-2010	Muhammad Saqib Khan	Asymptotic Analysis of Non Linear Oscillators	PhD Student: Florida Atlantic University
	Hira Manzoor	Computerized Multi Drug Resistant Tuberculosis (MDR-TB) Test Diagnosis	v