Asst. Prof., University of Arkansas, 1991-1994, and Researcher, Jet Propulsion Laboratory/Caltech, Pasadena, California (1991-1994), Full Professor, ECE Department, University of Manitoba, 1995-present, Visiting Professor, Mathematics Department, Adiyaman University, Adiyaman, Turkey, 2014-present, Visiting Researcher, Universit` a degli Studi di Salerno, Department of Mathematics DIPMAT Fisciano, Italy, 2014-present. He is the author of
Topology with Applications. Topological Spaces Near and Far, World Scientific, 2013 (with S.A. Naimpally) ,
Topology of Digital Images. Visual Pattern Discovery in Proximity Spaces, Springer, 2014,
Computational Proximity. Excursions in the Topology of Digital Images, Springer, 2016.
Foundations of Computer Vision. Computational Geometry, Visual Image Structures and Object Shape Detectionm, 2017,
Computational Geometry, Topology and Physics of Digital Images with Applications, Shape Complexes, Optical Vortex Nerves and Proximities, Springer, 2020.
as well as over 700 published articles. He introduced near set theory in 2006, tolerance near sets in 2009, descriptive proximity in 2012, strongly near Wallman proximity in 2014, proximal Vorono" i and Delaunay tessellations in 2015, path triangulation in 2020, His main research interests are computational proximity, digital topology and geometry, signals, applied mathematics, object detection and signal analysis and various applications areas such as digital images.