Herbert Wilf

Renowned for innovative teaching in the field of mathematics, Dennis DeTurck is a distinguished Robert A. Fox Leadership Professor in the School of Arts and Sciences and a Professor of Mathematics at the University of Pennsylvania. With a profound commitment to advancing mathematical education, he collaborates with esteemed colleague Herbert Wilf on a junior/senior-level textbook focused on Numerical Analysis using Maple, a testament to his dedication to integrating technology with traditional mathematical instruction. Professor DeTurck's research interests are deeply rooted in Partial Differential Equations and Differential Geometry, areas in which he has made significant scholarly contributions. His work often explores the intricate relationships between these mathematical disciplines, contributing to a deeper understanding of their applications and theoretical foundations. His research is characterized by a blend of rigorous analysis and innovative problem-solving approaches. Among his notable publications, Professor DeTurck has authored several influential preprints and articles. His work titled "Homotopy type of the group of strict contactomorphisms of the standard tight contact structure on the three-sphere" delves into the complex interplay of geometry and topology, offering new insights into the mathematical structures that underpin these fields. Additionally, his book review of "The Mathematician's Shiva" reflects his engagement with the broader mathematical community and his ability to critically assess mathematical literature. In another significant contribution, "Making matrices better: Geometry and topology of polar and singular value decomposition," Professor DeTurck explores the geometric and topological aspects of matrix decomposition, providing valuable perspectives that enhance the understanding of these fundamental mathematical processes. His work in this area exemplifies his ability to bridge theoretical concepts with practical applications, making complex ideas accessible to students and scholars alike. Through his teaching, research, and collaborative projects, Dennis DeTurck continues to inspire and mentor the next generation of mathematicians. His dedication to the field is evident in his ongoing efforts to push the boundaries of mathematical knowledge and education, ensuring that his impact on the mathematical community is both profound and enduring.