Akhtar A. Khan - Featured Faculty 2015

Inverse Problems is a key interdisciplinary field, offering a fruitful interaction between the mathematical sciences, the life sciences and the social sciences in which the fundamental goal is the development of mathematical models, computational tools, and simulation techniques to assist in problems emerging in diverse disciplines. Khan’s primary interest is in elastography inverse problem which extends the practice of palpation, making use of the varying elastic properties of healthy and diseased tissue to identify likely tumors. He has recently devised a new convex framework that not only gives a global optimal solution, but also provides a fast and reliable computational setting for the elastography inverse problem of tumor identification.

Set-valued optimization is a vibrant and expanding branch of applied mathematics that deals with optimization problems where the objective map and the constraint maps are set-valued maps. Khan has contributed in various aspects of set-valued optimization. Most notably, he is the co-author of the monograph Set-Valued Optimization: Theory, methods and applications, published by Springer in 2014. This monograph which consumes almost 800 pages, is the first book on this subject and it reports most of the developments in this discipline.

Khan is an Associate Editor of the prestigious international journals Optimization and Journal of Optimization Theory and Applications. He is proud of his collaboration with faculty at RIT, nationally, and internationally, and he believes that his collaborators not only push him to sustain a high quality research agenda, they also provide necessary motivation and inspiration. More details of Khan’s work can be found at: people.rit.edu/~aaksma/

AKHTAR A. KHAN
ASSOCIATE PROFESSOR
SCHOOL OF MATHEMATICAL SCIENCES
COLLEGE OF SCIENCE