Michael VanValkenburgh
By Day:
Contact Information:
mvanvalk at ucla dot edu
Office: I graduated and moved out.
On fellowship in 2008--2009 (no teaching).
(6/4/08) Homework 8
(5/22/08) Homework 6
(5/2/08) Midterm Solutions
(4/30/08) Homework 3
(4/30/08) Homework 1
(4/23/08) The hard problem from Homework 3
(4/17/08) A few fun problems from Week 3
(4/10/08) Invisibility website.
(4/10/08) One paper on invisibility.
(4/10/08) Another paper on invisibility.
(4/2/08) Square Roots: Algebraic Methods
(3/13/08) Abel's Theorem
(3/6/08) Error Bound for Alternating Series
(3/4/08) The Integral of Secant
(1/24/08) The Moral of L'Hospital's Rule
(1/17/08) p.372, #13
(1/17/08) p.372, #19
(1/15/08) p.357, #24
(1/28/08) President Bush gives a lesson on averages in his 2008 State of the Union address.
By Night:
Publications and Preprints:
Warning: The files below do not always coincide with the published versions.
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Unique Continuation for J-holomorphic Curves. (last updated: 5/1/09)
(pdf) (This is an expository paper.)
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Manipulation of Semiclassical Laguerre-Gaussian Modes: a Model Case. (last updated: 2/18/09)
(pdf) In my dissertation.
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Manipulation of Semiclassical Photon States. (last updated: 2/18/09)
(pdf) J. Math. Phys. 50, 023501 (2009).
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Exponential Lower Bounds for Quasimodes of Semiclassical Schrödinger Operators.
(pdf) Math. Res. Lett. 16 (2009), no. 4, 721-–734.
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Exponential Lower Bounds for the Bargmann Transform. (last updated: 4/21/09)
(pdf) In my dissertation.
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Laguerre-Gaussian Modes and the Wigner Transform.
(pdf) Journal of Modern Optics. Volume 55, Issue 21, 3535--3547 (2008).
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Dissertation. (last updated: 5/21/09)
(pdf)
Selected Notes:
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Notes on Calderón's Problem (last updated: 8/5/09)
(pdf)
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A Fun Linear Algebra Problem (last updated: 3/15/09)
(pdf)
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Wherefore Cotangent Space? (last updated: 3/7/09)
(pdf)
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Parental Advisory. (last updated: Christmas 2008)
(pdf)
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Iagolnitzer's Microlocal Upper Bounds. (last updated: 1/27/08)
(pdf)
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A Boundary Carleman Estimate for the Semiclassical Schrödinger Operator. (last updated: 1/17/07)
(pdf)
putting "+V" everywhere in an earlier note.
(Unauthorized) Translations:
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Classification of Integrable Systems in Dimension 2, by Dufour, Molino, and Toulet (pdf).
(last updated: 12/8/08)
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Sjöstrand's monograph Singularités Analytiques Microlocales (pdf).
(last updated: 7/21/09)
Corrections (pdf). (last updated: 8/11/09)
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Burq's Compatible Morse Functions (pdf).
(last updated: 11/4/07)
Campbell Competition:
2008 Submission: "The Rise and Fallout of Nuclear Physics"
2008 Supplement (Photographs omitted)
the Mannahatta Project
Other:
Summer 2007
the PANic All-Stars
the PANic All-Stars in Finland (que saudade!)
Halloween 1996
Halloween 2005
Links:
The Role of the Professor, by Walter Noll