Background
Kotiuga, Peter Robert was born on November 9, 1958 in Montreal, Quebec. Came to the United States, 1988, naturalized, 2001. Son of Peter and Helen (Pilecki) Kotiuga.
(A five-day conference celebrating the legacy of Raoul Bot...)
A five-day conference celebrating the legacy of Raoul Bott was held at the CRM on June 9-13, 2008. The conference focused on the extraordinary impact Bott had on both topology and interactions between mathematics, physics and technology. The conference was co-organized by the Clay Mathematics Institute and had support from the National Science Foundation (Award 0805925). Montreal was a natural venue for such an event since Raoul Bott obtained two degrees in electrical engineering at McGill University in the 1940s and an honorary doctorate from McGill in 1987. The fact that Bott's presence is still fresh in the minds of all those involved made for a tremendous amount of enthusiasm and every attempt has been made to channel this energy into this book. The contributions to this book come from three generations of Bott's students, coauthors, and fellow kindred spirits in order to cover six decades of Bott's research, identify his enduring mathematical legacy and the consequences for emerging fields. The contributions can be read independently. In order to help a whole to emerge from the parts, the book is broken into four sections and to make the book accessible to a wide audience, each section starts with easier-to-read reminiscences and works its way into more involved papers. Titles in this series are co-published with the Centre de Recherches Mathématiques.
http://www.amazon.com/gp/product/0821847775/?tag=2022091-20
(Although topology was recognized by Gauss and Maxwell to ...)
Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents. Appendices bridge the gap between the material presented and standard expositions of differential forms, Hodge decompositions, and tools for realizing representatives of homology classes as embedded manifolds.
http://www.amazon.com/gp/product/0521175232/?tag=2022091-20
Electrical engineering educator
Kotiuga, Peter Robert was born on November 9, 1958 in Montreal, Quebec. Came to the United States, 1988, naturalized, 2001. Son of Peter and Helen (Pilecki) Kotiuga.
Diploma, Dawson College, 1978. Bachelor of Science in Engineering, McGill University, 1981. Master of Science in Engineering, McGill University, 1982.
Doctor of Philosophy, McGill University, 1985.
Post doctoral fellow Massachusetts Institute of Technology, 1985-1987. Associate professor department electrical, computer and system engineering Boston University, since 1987. Speaker in field.
(Although topology was recognized by Gauss and Maxwell to ...)
(A five-day conference celebrating the legacy of Raoul Bot...)
Member Institute of Electrical and Electronics Engineers, American Mathematics Society, Society Industrial and Applied Mathematics.
Married Nevine Nassif, October 20, 1984. Children: Michele, Madeleine, Peter.