【摘 要】
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1 IntroductionrnWriting an article about themathematical work of Alice Chang and Paul Yang is simultaneously a great honor and an almost hopeless task. How does
【机 构】
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Department of Mathematics,University of Notre Dame,Notre Dame,IN 46556
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1 IntroductionrnWriting an article about themathematical work of Alice Chang and Paul Yang is simultaneously a great honor and an almost hopeless task. How does one begin to summarize the work of two accomplished mathematicians, whose combined careers span almost a century? First, there is the sheer volume of output: since receiving their PhDs in the early 1970s, Paul and Alice have each published over 100 articles (about half on which they were co-authors). Then there is the diversity of fields: complex geometry, nonlinear PDEs, spectral geometry, calculus of variations, conformal geometry, CR geometry,rnfunctional inequalities, etc. And finally, there are the many students and postdocs Paul and Alice have mentored over the years (the author of this article included). Consequently,even a cursory overview could easily fill several issues of the Journal of Mathematical Study.
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