Past

Harmonic Analysis and Analytic Number Theory, Dual trimester program

Harmonic Analysis and Analytic Number Theory, Dual trimester program

Harmonic Analysis and Analytic Number Theory Trimester Program

Decoupling for Cantor Sets

In this talk we discuss sharp ℓ2L2n estimates for Cantor sets. These estimates are related to the work of Biggs bounding the number of solutions to a certain type of Diophantine equations for integers contained in Ellipsephic sets, sets of numbers missing certain digits in base p.

Decoupling for Cantor Sets

In this talk we discuss sharp ℓ2L2n estimates for Cantor sets. These estimates are related to the work of Biggs bounding the number of solutions to a certain type of Diophantine equations for integers contained in Ellipsephic sets, sets of numbers missing certain digits in base p.

Decoupling for Cantor sets

Uniform boundedness in operators parametrized by polynomial curves

Multiple results in harmonic analysis involving integrals of functions over curves (such as restriction theorems, convolution estimates, maximal function estimates or decoupling estimates) depend strongly on the non-vanishing of the torsion of the associated curve.

Uniform boundedness in operators parametrized by polynomial curves

Multiple results in harmonic analysis involving integrals of functions over curves (such as restriction theorems, convolution estimates, maximal function estimates or decoupling estimates) depend strongly on the non-vanishing of the torsion of the associated curve.

Uniform boundedness in operators parametrized by polynomial curves

UCLA Math 32A: Calculus of Several Variables - Winter 2021

The course 32A treats topics related to differential calculus in several variables, including curves in the plane, curves and surfaces in space, various coordinate systems, partial differentiation, tangent planes to surfaces, and directional derivatives. The course culminates with the solution of optimization problems by the method of Lagrange multipliers. TA for Sections 1A, 1B. (Taught by [Suzuki Fumiaki](https://www.math.ucla.edu/~suzuki/)). Link to the [CCLE site](https://ccle.ucla.edu/course/view/21W-MATH32A-1).