Ali M. Elgindi
Assistant Professor
Mathematics
Alfaisal University
Saudi Arabia
Biography
Dr. Ali Elgindi received his PhD in Mathematics from the University of Chicago in 2011. The focus of his thesis was on the properties of real manifolds embedded in complex Euclidean space. In particular, he studied the topological structure of the set complex tangents to embeddings of 3-manifolds into complex 3-space, and also researched regarding the form of the Bishop invariant in this dimension, obtaining a simpler and more applicable formula. His other areas of research include low-dimensional topology, contact structures, and complex differential topology. He is also interested in the theories given by mathematical analysis in finance and the applications of low-dimensional topology to generalized general relativity in physics. In his spare time, Dr. Ali enjoys cooking, sports such as football and basketball, watching historical movies, and reading. He takes a particular interest in reading meaningful books in philosophy and psychology, and also religion. He also enjoys intellectual debates with friends, seeking knowledge and understanding of the many interesting aspects of the universe and of life.
Research Interest
Embeddings of Real Manifolds into Complex Space, Low Dimensional Topology, Contact Topology, Applications of Geometry and Topology to Physical Cosmology.
Publications
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“ Complex Tangencies to Embeddings of Heisenberg Groups and Odd - dimensional Spheres ,†International Journal of Mat hematics, Vol. 25, No. 3 (2014), Article No. 1450028.
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“ A Topological Obstruction to the Removal of a Degenerate Complex Tangent and Some Related Homotopy and Homology Group s ,†International Journal of Mathematics, Vol. 26, No. 3 (2015), Article No. 1550025 .
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“ Totally Real Perturbations and Nond egenerate Embeddings of S 3 ,†New York Journal of Mathematics, Vol. 21 (2015 ), 1283 - 1293.