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Timothy J. Healey is a Professor in the Department of Mathematics at Cornell University. He obtained his Ph.D. from the University of Illinois in 1985. His academic interests encompass Applied Mathematics and Analysis, focusing on applied analysis and partial differential equations. Professor Healey's research covers mathematical continuum mechanics, particularly at the interface of nonlinear analysis and partial differential equations, with applications to mechanics of elastic structures and materials. He has made significant contributions to the understanding of mathematical fluid mechanics and nonlinear finite-deformation elasticity, and his work addresses central models in continuum solid mechanics. His primary goals include establishing rigorous existence results and uncovering new phenomena through collaboration with co-workers and students. His research utilizes topological-degree-theoretic methods and direct methods in the calculus of variations, alongside techniques from global symmetry-breaking bifurcation theory to establish existence theorems. Notably, he has explored topics such as the wrinkling behavior of thin sheets and the formation of icosahedral patterns in 2-phase lipid bilayer structures, highlighting the interplay between careful mechanics-based modeling, mathematical analysis, and efficient computation.
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