Joris Roos

Joris Roos is an Assistant Professor at the University of Massachusetts Lowell within the Department of Mathematics and Statistics, part of the Kennedy College of Sciences. He holds a Ph.D. in Mathematics from the University of Bonn (2017). His research focuses on Fourier analysis, real analysis, and computer-assisted proofs, with particular emphasis on harmonic analysis applications in combinatorics, number theory, PDEs, and fractal geometry. He has been supported by grants including the NSF DMS-2154835 (2022-2025) and a Simons Foundation Grant (2021-2022). Roos has also participated in fellowships at the Hausdorff Research Institute for Mathematics and Oberwolfach. His work bridges pure analysis with computational methods, addressing problems in multilinear inequalities, maximal functions, and sparse domination techniques.

Education:

• Ph.D. in Mathematics, University of Bonn, 2017

Research Interests:

• Fourier and harmonic analysis on Euclidean spaces
• Oscillatory integrals, maximal functions, singular integrals
• Discrete analogues in harmonic analysis
• Applications to combinatorics, number theory, dispersive PDEs
• Formalization of mathematics using interval arithmetic

Grants & Fellowships:

• National Science Foundation Grant DMS-2154835 (2022-2025)
• Simons Foundation Grant ID 855692 (2021-2022)
• American Institute of Mathematics SQuaRE projects (2021-2025)
• Hausdorff Research Institute for Mathematics Fellowships (2021, 2022, 2024)
• Oberwolfach Research Fellowship (2023)

Current Activity: Leading the 2024 HIM Trimester Program on Boolean Analysis in Computer Science and co-organizing the MLHA 2024 Spring School on multilinear singular integrals.