David Jerison

Professor of Mathematics, Massachusetts Institute of Technology

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> About

This site is under construction. For now, Dec 31, 2010, a few preprints are available under publications.

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> Research

My main research interests are Fourier analysis and partial differential equations. I am especially interested in free boundary problems. Recently, I have also been working on internal Diffusion Limited Aggregation (internal DLA), a stochastic growth model.

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> Publications

• 2010 Preprints
• A gradient bound for free boundary graphs , joint with Daniela De Silva (to appear in Comm. Pure and Appl. Math. 2011). Posted 23 Sept, 2010 arXiv:1009.4694
• Singularities of the wave trace near cluster points of the length spectrum , joint with Yves Colin de Verdiere and Victor Guillemin. Posted 30 Dec, 2010 arXiv:1101.0099
• Logarithmic fluctuations for internal DLA , joint with Lionel Levine and Scott Sheffield. Posted 12 Oct, 2010 arXiv: 1010.2483
• Internal DLA and the Gaussian free field , joint with Lionel Levine and Scott Sheffield. This is a draft posted on arXiv Dec 31, 2010. A newer, better version was posted Jan 3, 2011 arXiv:1101.0596
• Internal DLA in higher dimensions , joint with Lionel Levine and Scott Sheffield. Posted 15 Dec, 2010, arXiv: 1012.3453

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> Teaching

18.103 - Fourier Analysis and Applications Fall 2011

Open Courseware Single Variable Calculus, 18.01 (Notes problem sets from Fall 2006; videos from Fall 2007)

Open Courseware Multivariable Calculus, 18.02 (Notes and problem sets from Spring 2006)

18.155 Differential Analysis, Fall 2008

RSI - Research Science Institute for high school students, for which I organize the math section

SPUR - Summer Program for Undergraduate Research. I direct this program, which is for MIT undergraduates only.