My Blog (In Chinese)
My Blog (In English)
FrankMath World
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- Office: 2202 Mathematical Science
- Office Hours: R 1:00-2:30
- Phone: (Don't Wanna tell You)
- E-mail : < frankliou@ucdavis.edu>
- MSN:<g913202@oz.nthu.edu.tw>
- Postal Address: Department of Mathematics 1 Shields Ave. University of California
Davis, CA 95616-8633
TA Teaching
2007 Fall Quarter/21B
2007 Winter Quarter/21C
2007 Spring Quarter/16B
2008
Fall Quarter/280 Special TA3
2008 Winter/ MAT 167
2009 Spring/ MAT 129
2009 Fall / MAT118A
Course that I've taken
1. 2007 Fall/Analysis A/Math
Fluid dynamics/Math Quantum mechanics
2. 2008 Winter/Analysis B/Partial Differential Equations/Ordinary
Differential Equations
3. 2008 Spring/Analysis C/Partial Differential Equations/Differential
Topology/Lie groups
4. 2008 Fall/A short review of Modern Mathematicas/Algebra A/ Numerical
of Partial Differential Equations/Method of Mathematical Physics (PHY
204)
5. 2009 Winter/Numerical Partial Differential Equations/Statistic
Mechanics and Quantum Field Theory
6. 2009 Spring/None
Master
Thesis
- Inverse Spectral Theory of String Equations with Piecewise
Constant Density Fucntions. (unpublished)
The
Math Field That I am
Interested with:
- Geometric Analysis/Differential Equations on Riemannian Manifolds.
- Quantum Physics
- C* Algebra and K theory/ Vector Bundles/ Algebraic Topology.
- Modular Form and Elliptic Curve
My Teaching As An instructor
2008 Summer Session 2/Mat 21B
Integral Calculus. (You can find all the tests in Frankmath world)
Lecture Notes
When I was a research asistant
of National Center Theoretical Science in Taiwan, I gave a series of talks
about the analysis on Riemannian Manifolds. What I focused
on were spectral problems on Riemannian manifolds. Before
studying this topic, we need the gradient estimates, the Harnack
inequality, of the Laplace equations on manifolds with possitive Ricci
curvature.
The Harnack Inequality on
manifolds with positive Ricci curvature
I have studied the inverse spectral theory for several years and also
studied the infinite dimensional Hilbert manifolds related to the
inverse spectral theory. The isospectral set of the Schrodinger
equation forms an infinite dimensional submanifold of the Hilbert space
L^2[0,1]. We can construct the local chart to some l^2 space by using
variational calculus. Here is one note about the basic idea of the
construction of local chart.
The Inverse Dirichlet Problem
Some Useful
Notel