290G, Analysis Participation Seminar.

Course Description.

Advice for speakers:

To sign up, e-mail Rowan at killip@math.ucla.edu

  Tuesday 3:00-4:00 Cookies 4:00-4:30 Tuesday 4:30-5:30
Jan. 10 Steve O'Dell
The Hadamard parametrix construction		 Eric Ryckman
Jan. 17 Steve O'Dell
The Hadamard parametrix construction		 Tim Prescott Victor Lie
A T(b) Theorem with applications
Jan. 24 Shuanglin Shao
Restriction implies Kakeya		 Tristan Roy Victor Lie
A T(b) Theorem with applications
Jan. 31 Shuanglin Shao
Restriction implies Kakeya		 Steve O'Dell Victor Lie
A T(b) Theorem with applications
Feb. 7 Soonsik Kwon
Construction of the ground state solution to NLS		 Victor Lie Ricardo Salazar
Scattering Theory
Feb. 14 Soonsik Kwon
Construction of the ground state solution to NLS		 Soonsik Kwon Ricardo Salazar
Scattering Theory
Feb. 21 Zubin Gautam
von Neumann algebras and Gabor systems		 Rowan Killip
Feb. 28 Zubin Gautam
von Neumann algebras and Gabor systems		 Jon Handy Martin Strauss
Improved time bounds for near-optimal sparse
Fourier representations
Mar. 7 Donatella Danielli
 Zubin Gautam Brady NewDelman
The Jordan Curve Theorem
Mar. 14 Eric Ryckman
TBA		 John Garnett

Schedule from Fall 2005

  Tuesday 3:10-4:10 Cookies 4:10-4:40 Tuesday 4:40-5:40
Oct. 4 John Bueti
The (n,k) problem		 Rowan Killip
Oct. 11
Victor Lie Jason Tedor
Koebe's theorems
Oct. 18 Jon Handy
Analytic differentials on Riemann surfaces		 Soonsik Kwon Jason Tedor
Koebe's theorems
Oct. 25 Jon Handy
Analytic differentials on Riemann surfaces		 Jon Handy Eric Ryckman
A commutation formula
Nov. 1 Jon Handy
Analytic differentials on Riemann surfaces		 Zubin Gautam Eric Ryckman
A commutation formula
Nov. 8 Michael VanValkenburgh
Glancing rays: Friedlander's example		 John Garnett Shuanglin Shao
Regularity of solutions to the Schrodinger equation
Nov. 15 Michael VanValkenburgh
Glancing Rays: Friedlander's Example		 Michael VanValkenburgh Shuanglin Shao
Regularity of solutions to the Schrodinger equation
Nov. 22 Andrea Nahmod
Bilinear Pseudodifferential Operators		 Christoph Thiele Shuanglin Shao
Regularity of solutions to the Schrodinger equation
Nov. 29 Zubin Gautam
The Balian-Low Theorem and a variant		 Raanan Schul Tristan Roy
Poincaré inequalities
Dec. 6 Zubin Gautam
The Balian-Low Theorem and a variant		 Shuanglin Shao Tristan Roy
Poincaré inequalities

Schedule from Spring 2005

  Tuesday 3:00-4:00 Cookies 4:00-4:30 Tuesday 4:30-5:30
Apr. 5 John Bueti
A recent planar Kakeya result in low dimensions		 Jon Handy Kingshook Biswas
Log-Riemann Surfaces
Apr. 12 Ugur Gul
Composition Operators as Integral Operators		 John Garnett Jason Tedor
Wermer's Maximality Theorem
Apr. 19 Ugur Gul
Composition Operators as Integral Operators		 John Bueti Jason Tedor
Wermer's Maximality Theorem
Apr. 26 Ugur Gul
Composition Operators as Integral Operators		 Monica Visan Jason Tedor
Wermer's Maximality Theorem
May 3 DLS
 Michael VanValkenburgh Eric Ryckman
Subordinacy Theory
May 10 Monica Visan
Dispersive Estimates for Schrodinger Operators		 Christoph Thiele Eric Ryckman
Subordinacy Theory
May 17 Monica Visan
Dispersive Estimates for Schrodinger Operators		 Terry Tao Michael VanValkenburgh
The Combes-Thomas Method
May 24 Tim Prescott
Stochastic Calculus and Ito's Formula		 Eric Ryckman Michael VanValkenburgh
The Combes-Thomas Method
May 31 Tim Prescott
Stochastic Calculus and Girsanov's Transformation		 Tim Prescott Jon Handy
The Corona Theorem on Multiply Connected Domains
Jun 7 Jon Handy
The Corona Theorem on Multiply Connected Domains

Schedule from Winter 2005

  Tuesday 3:00-4:00 Cookies 4:00-4:30 Tuesday 4:30-5:30
Jan. 11 Kaihua Cai
Dispersion for Schrodinger operators with
one-gap periodic potentials		 Michael Hitrik Kaihua Cai
Dispersion for Schrodinger operators with
one-gap periodic potentials
Jan. 18 Victor Lie
The Littlewood-Payley Inequality		 Christoph Thiele Eric Ryckman
Perturbation Determinants and the Spectral Shift Function
Jan. 25 Victor Lie
The Littlewood-Payley Inequality		 Terry Tao Eric Ryckman
Perturbation Determinants and the Spectral Shift Function
Feb. 1 Victor Lie
The Littlewood-Payley Inequality		 Rowan Killip Jason Tedor
Weighted norm inequalities for maximal and
conjugate functions
Feb. 8 Jon Handy
Schwarz Lemma and joint non-triviality of
certain classes of analytic functions		 Eric Ryckman Jason Tedor
Weighted norm inequalities for maximal and
conjugate functions
Feb. 15 Jon Handy
Schwarz Lemma and joint non-triviality of
certain classes of analytic functions		 Tim Prescott Jason Tedor
Weighted norm inequalities for maximal and
conjugate functions
Feb. 22 Nicholas Crawford
Behaviour of Gibbs' states with long-range
interactions via mean field theory		 Laura Pratt Michael VanValkenburgh
The Cwikel-Lieb-Rosenbljum inequality
Mar. 1 Nicholas Crawford
Behaviour of Gibbs' states with long-range
interactions via mean field theory		 Victor Lie Michael VanValkenburgh
The Cwikel-Lieb-Rosenbljum inequality
Mar. 8 John Bueti
A recent planar Kakeya result in low dimensions		 Silvius Klein Michael VanValkenburgh
The Cwikel-Lieb-Rosenbljum inequality
Mar. 15 Conference at Caltech --- ---

Schedule from Fall 2004.

  Tuesday 3:00-4:00 Cookies 4:00-4:30 Tuesday 4:30-5:30
Oct. 5 Jon Handy
Circle Packings		 Steve O'Dell Stephanie Molnar
Sharp Growth Estimates for T(b) Theorems
Oct. 12 Jon Handy
Circle Packings		 Nicole Olivares John Bueti
Lower Bounds for (n,k)-sets
Oct. 19 Jon Handy
Circle Packings		 Stephanie Molnar John Bueti
Lower Bounds for (n,k)-sets
Oct. 26 Ya-Ju Tsai
Factorization of Matrix Functions		 Silvius Klein Steve O'Dell
The Spectral Function of an Elliptic Operator
Nov. 2 Ya-Ju Tsai
Factorization of Matrix Functions		 Rowan Killip Steve O'Dell
The Spectral Function of an Elliptic Operator
Nov. 9 Sasha Volberg
Analytic Capacity of Portions of a Continuum		 Jon Handy Monica Visan
Endpoint Strichartz Estimates
Nov. 16 IPAM Workshop IPAM Workshop
Nov. 23 Sergiu Klainerman
Radius of Injectivity and Curvature Estimates
in General Relativity		 John Bueti Monica Visan
Endpoint Strichartz Estimates
Nov. 30 Ricardo Salazar
Microlocal properties of solutions to PDEs		 John Garnett Ana Portilla
Gromov Hyperbolicity
Dec. 7 Ricardo Salazar
Microlocal properties of solutions to PDEs		 Monica Visan Eva Touris
Gromov Hyperbolicity

Schedule from Spring 2004.

  Tuesday 3:00-4:00 Cookies 4:00-4:30 Tuesday 4:30-5:30
April 6 Irina Nenciu
Background		 Rowan Killip Irina Nenciu
Matrix Models for Circular Ensembles
April 13 Julia Dobrosotskaya
Minimally Supported Frequency Wavelets and
Conditions of Existence of the Scaling Function		 John Bueti John Handy
Harmonic Measure on Cantor Sets
April 20 Monica Visan
Stein-Thomas Restriction Theorem		 Chris Yakes Julia Dobrosotskaya
Minimally Supported Frequency Wavelets and
Conditions of Existence of the Scaling Function
April 27 Monica Visan
Lp Limiting Absorption Principle		 Monica Visan John Handy
Harmonic Measure on Cantor Sets
May 4 Monica Visan
Lp Limiting Absorption Principle		 Ya-Ju Tsai Nicole Olivares
A Counterexample to a Variant of the
Helson-Szego Theorem
May 11 Ricardo Salazar
Sharp Garding Inequalities and
the FBI Transform		 Christoph Thiele Nicole Olivares
A Counterexample to a Variant of the
Helson-Szego Theorem
May 18 Ricardo Salazar
Sharp Garding Inequalities and
the FBI Transform		 Alex Smith Eric Ryckman
The Sharp Form of the Strong Szego Theorem
May 25 Ricardo Salazar
Sharp Garding Inequalities and
the FBI Transform		 Ricardo Salazar Eric Ryckman
The Sharp Form of the Strong Szego Theorem
June 1 Timothy Prescott
Hardy's Inequality and the L1 Norm
of Exponential Sums		 Eric Ryckman Steve O'Dell
The Metaplectic Representation and
the Weyl Quantization
June 8 Timothy Prescott
Hardy's Inequality and the L1 Norm
of Exponential Sums		 Timothy Prescott Steve O'Dell
The Metaplectic Representation and
the Weyl Quantization

1 J.R.R. Tolkien, The Lord of the Rings, Harper-Collins 2002. Quote from Prologue, p.7.
2 Lewis Carroll, Alice's Adventures in Wonderland, from Project Gutenberg. Quote from Ch. 12.