# Palle Jorgensen

Jorgensen is a Professor of mathematics at the University of Iowa. He is also a Fellow of the *Amer.Math.Society*. Before University of Iowa, he taught at Stanford University, and at the University of Pennsylvania. His research has received funding from the *Natl. Sci. Foundation*, -- his research papers are highly cited, and they have appeared in top international scientific journals, both in pure and applied math -- operator algebras, harmonic analysis, probability, stochastic analysis, dynamics, machine learning, and mathematical physics (quantum information). His recent research includes wavelet theory, multi-resolution, subdivision algorithms, image-processing, spectral-tile duality, scaling and fractals.

## Research interests

- Stochastic analysis/statistics
- Mathematical physics
- Representation theory
- Wavelets
- Signal and image processing
- Mathematics of financial derivatives/financial mathematics
- Functional and harmonic analysis
- Operator theory/Operator algebras
- Dynamical systems
- Analysis on graphs
- Statistical inference
- PDE

**Style of Jorgensen’s PhD advising. **

My approach to each student depends on the student's individual needs and preferences, and I have advised many PhD students. From the start of the process, I typically meet with each student once a week, but am willing and able to meet more often if the student requires extra help, especially early in the process. Initially, I give most of my students a problem, or a focus area, that I believe can become a thesis in a reasonable time frame. The focus/problem may be within anyone of several areas in pure, or in applied, mathematics. As the student progresses, she/he is expected to show more and more independence. When the students are close to graduating, I make an utmost effort to help them find a job, either in academia or industry, depending on the student's preferences.

**Honors:**

Fellow of the American Math Society

## Additional links

- Analysis
- Dynamical systems and differential equations
- Functional analysis and operator theory
- Imaging and signal processing
- Representation and number theory
- Mathematical physics
- Financial mathematics
- Stochastic processes
- Unitary representations
- Operator algebras
- PDE