# Joris Roos

Van Vleck Visiting Assistant Professor
Department of Mathematics
480 Lincoln Drive
Office: VV 513
Email: jroos (at) math (dot) wisc (dot) edu

## Teaching

August 2018: Student workshop on Automated Theorem Proving and Artificial Intelligence (Leysin, Switzerland)

Fall 2018: Reading Seminar on Vapnik-Chervonenkis dimension and the independence property

## Research

### Research interests

I am interested in harmonic analysis on Euclidean spaces, particularly time-frequency analysis, singular and maximal Radon transforms and oscillatory integrals.

### Publications, preprints, theses

1. A maximal function for families of Hilbert transforms along homogeneous curves (with S. Guo, A. Seeger, P.-L. Yung)
Abstract pdf arXiv arXiv:1902.00096, 2019, submitted.
2. Averages of simplex Hilbert transforms (with P. Durcik)
Abstract pdf arXiv arXiv:1812.11701, 2018, submitted.
3. Sharp variation-norm estimates for oscillatory integrals related to Carleson's theorem (with S. Guo, P.-L. Yung)
Abstract pdf arXiv arXiv:1710.10988, 2017, submitted.
4. Bounds for anisotropic Carleson operators
Abstract pdf arXiv Journal arXiv:1710.10962, 2017, to appear in J. Fourier Anal. Appl.
5. A polynomial Roth theorem on the real line (with P. Durcik, S. Guo)
Abstract pdf arXiv Journal arXiv:1704.01546, 2017, to appear in Trans. Amer. Math. Soc.
6. Maximal operators and Hilbert transforms along variable non-flat homogeneous curves (with S. Guo, J. Hickman, V. Lie)
Abstract pdf arXiv Journal Proc. London Math. Soc. 115, no. 1, 177-219, 2017.
7. Polynomial Carleson operators along monomial curves in the plane (with S. Guo, L. B. Pierce, P.-L. Yung)
Abstract pdf arXiv Journal J. Geom. Anal. 27, no. 4, 2977-3012, 2017.
8. Singular integrals and maximal operators related to Carleson's theorem and curves in the plane
Abstract pdf ULB Doctoral dissertation, University of Bonn, 2017.
9. Inner-outer factorization of analytic matrix-valued functions
Abstract pdf Master's thesis, University of Bonn, 2014.