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Michael Goldberg Bateman Research Instructor
Office: 374 Sloan Phone: (626) 395-4328 E-mail: mikeg@caltech.edu	Fax: (626) 585-1728      Mailing address: Mathematics 253-37, Caltech, Pasadena, CA 91125      Caltech Math Department Home Page

Curriculum Vitae

Education
AB., Mathematics, Princeton University, 1997
Ph.D., Mathematics, University of California, Berkeley, 2002

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Research Interests
Fourier analysis and partial differential equations

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Publications and Preprints

• Vector A₂ Weights and a Hardy-Littlewood Maximal Function (with M. Christ ), Trans. Amer. Math. Soc. 353 (2001), 1995-2002.  [dvi]   [ps]   [pdf]
• Asymptotic Properties of the Vector Carleson Embedding Theorem, Proc. Amer. Math. Soc. 130 (2002), 529-531.  [dvi]  [ps]  [pdf]
• Matrix A_p Weights via Maximal Functions, Pac. J. Math. 211 (2003), 201-220.  [dvi]   [ps]   [pdf]
• Dispersive Estimates for Schrödinger Operators in Dimensions One and Three (with W. Schlag), Comm. Math. Phys. 251 (2004), no. 1, 157-178.  [dvi]  [ps]  [pdf]
• A Limiting Absorption Principle for the Three-Dimensional Schrödinger Equation with L^p Potentials (with W. Schlag), Intl. Math. Res. Not. , 2004:75 (2004), 4049-4071.  [dvi]  [ps]  [pdf]
• Dispersive Estimates for the Three-Dimensional Schrödinger Equation with Rough Potentials, to appear in Amer. J. Math.   [dvi]  [ps]  [pdf]
• Dispersive Bounds for the Three-Dimensional Schrödinger Equation with Almost Critical Potentials, to appear in Geom. and Funct. Anal.   [dvi]  [ps]  [pdf]

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Courses Taught
At Caltech:

• Ma 4 - Introduction to Mathematical Chaos [Spring 2003]
• Ma 108A - Classical Analysis [Fall 2002] [Fall 2003]
• Ma 108B - Classical Analysis [Winter 2003] [Winter 2004]
• Ma 108C - Classical Analysis [Spring 2005]
• Ma 110A - Real and Complex Analysis [Fall 2004]
• Ma 142A - Ordinary and Partial Differential Equations [Fall 2004]
• Ma 191H - Topics in Harmonic Analysis [Spring 2004]

• Math 1A (TA under M. Ratner) - Calculus [Fall 2000]
• Math 1B (TA under M. Zworski) - Calculus [Spring 2001]
• Math 16A - Analytic Geometry and Calculus [Summer 2001]

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Fun Stuff
Math Club - This page hasn't been updated lately, but it gives a good idea of what Math Club does.
The National Weather Service - with links to a forecast near you.
Geyser Observation and Study Association (GOSA)

Old Faithful Webcam from the National Park Service in Yellowstone (refresh page for latest picture)

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