PhD, Mathematics (Analysis), McGill University, Montréal, Canada
MSc, Mathematics (Combinatorics), Université du Québec à Montréal (UQÀM), Canada
BSc, Mathematics, Université du Québec à Montréal (UQÀM), Canada
Dr. Poulin completed his BSc in mathematics in 1999 at UQÀM, Canada, where he received the academic medal of the Governor General of Canada. He then completed his MSc in mathematics at UQÀM, under the supervision of Prof. André Joyal. His master thesis compares three constructions of the Coxeter complexes theory. In 2006, Poulin completed a PhD in mathematics at McGill University, Canada, under the supervision of Dr. Vojkan Jakšić. His thesis, about the Anderson’s model, involves advanced tools in functional analysis, probability theory, and complex analysis. Dr. Poulin then specialized in this last field, becoming a postdoctoral fellow at the Norwegian University of Science and Technology (NTNU), Norway, in 2006 under the supervision of Prof. Kristian Seip. In 2008, he became an Assistant Professor at United Arab Emirates University, UAE. He finally became an Assistant Professor of Mathematics at the American University in Dubai in 2015.
Dr. Poulin is specialized in spaces of analytic functions, especially, weighted Paley-Wiener spaces. In addition to research papers, he has written a monograph, Leçons d’analyse classique: exposition d’un cours fait par Paul Koosis à l’université McGill, appeared in 2015 in the Monographs of the CRM series (American Mathematical Society).
Research, articles, creative output, etc.
P. Poulin, Leçons d'analyse classique: exposition d'un cours fait par Paul Koosis à l'université McGill, CRM Monograph Series 36, American Mathematical Society, 2015, 169p.
P. Poulin and S. Cowell, Complete Interpolating Sequences vs Riesz Bases of Reproducing Kernels, Acta Mathematica Academiae Paedagogicae Nyíregyháziensis 30.1 (2014): 103-109, peer-reviewed selection from the Proceedings of the ICM 2012, tome I (2012): 57-62.
P. Poulin, Weighted Paley-Wiener Spaces Sharing a Majorant-Weight, Proceedings of the American Mathematical Society 140 (2012): 941-949.
V. Jakšić and P. Poulin, Scattering from Sparse Potentials: a deterministic approach, Analysis and Mathematical Physics, in Trends in Mathematics, Birkhäuser Verlag Basel/Switzerland (2009): 203-208.
P. Poulin, Scattering from Sparse Potentials on Graphs, Journal of Mathematical Physics, Analysis, Geometry 4 (2008): 151-170.
P. Poulin, Green's Functions of Generalized Laplacians, CRM Proceedings and Lecture Notes 42 (2007): 419-454.
P. Poulin, The Molchanov-Vainberg Laplacian, Proceedings of the American Mathematical Society 135 (2007): 77-85.
P. Poulin and S. Cowell, Early Transcendentals Analysis, arXiv:1506.03697 (2015), 11p.
P. Poulin and S. Cowell, de Branges spaces with bi-Lipschitz phase for large distances, arXiv:1306.6199v2 (2014), 15p.
P. Poulin, Weighted Paley-Wiener spaces and mountain chain axioms: a detailed exposition, arXiv:1305.0184 (2013), 31p.