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Thomas Hangelbroek

DSCF1595

Associate Professor

Department of Mathematics

University of Hawaiʻi at Mānoa

2565 McCarthy Mall

Honolulu, HI 96822

Email: hangelbr@math.hawaii.edu

My research lies at the interface of approximation theory, harmonic analysis and numerical analysis. I study kernels, radial basis functions, splines, and wavelets: i.e., basic tools for scattered data approximation, machine learning, and meshless solution of PDEs. I am interested in the approximation power of these tools, and in applying them to interesting problems. My work is supported by National Science Foundation grant DMS-1413726, Kernel approximation with scalable bases.

Publications

Most of my preprints can be found on the arXiv.

Recent Talks

Local Approximation with Kernels, AT15, San Antonio, May 2016

Kernel Approximation, Elliptic PDE and Boundary Effects, ICMA, Schloss Rauischholzhausen, March 2016

Beyond Quasi-unifomity: Kernel Approximation with a Local Mesh Ratio, CSE 15, Salt Lake City, March 2015

Recent progress on boundary effects in kernel approximation, FOCM 2014, Montevideo, December 2014

On boundaries in approximation by polyharmonic kernels, Curves and Surfaces 8, Paris, June 2014

Analysis Seminar

I organize the Analysis Seminar at UH-Manoa. Click here for details.

Teaching

In Fall 2016 I am teaching Math 631 (Measure and Integration). If you are a student in one of my classes, course materials can be found on Laulima.

Previous Courses:

Spring 2016: Math 242 (Calculus 2)

Fall 2015: Math 321 (Intro to Advanced Mathematics), Math 649 (Harmonic Analysis)

Spring 2015: Math 633 (Functional Analysis)

Fall 2014: Math 252A (Accelerated Calculus 2), Math 431 (Principles of Analysis 1)