About me

My name is Michel Alexis (pronounced ME-SHELL). I am currently a postdoc at McMaster University, working with Eric Sawyer. Starting Fall 2023, I will be a postdoc at the Hausdorff Center for Mathematics, working with Christoph Thiele. My research interests are in (two weight) weighted norm inequalities for Singular Integral Operators, and Orthogonal Polynomials on the Unit Circle. My PhD advisor was Sergey Denisov.

My office is located in Hamilton Hall 311.

Here is my CV.

Email: [Last name][First letter of first name]@mcmaster.ca (e.g. John Doe --> doej@mcmaster.ca).

Research Papers

Year NamePaper LinkComments
2023 The T1 theorem for the Hilbert transform fails when p is not 2
joint with Jose Luis Luna-Garcia, Eric Sawyer and Ignacio Uriarte-Tuero
ArXiv It's really short!
2022 Stability of Weighted Norm Inequalities
joint with Jose Luis Luna-Garcia, Eric Sawyer and Ignacio Uriarte-Tuero
ArXiv For more details, check out this expository Zoom talk I gave, and the accompanying slides Also see the errata for the talk.
2021 A T1 theorem for general Calderon-Zygmund operators with doubling weights, and optimal cancellation conditions, II
joint with Eric Sawyer and Ignacio Uriarte-Tuero
ArXiv For more details, check out for instance these slides from a simplified talk I gave at CMS, or the last few minutes of Ignacio's talk at the Fields Institute.
2022 The Steklov problem and Remainder Estimates for Krein Systems generated by a Muckenhoupt weight ArXiv Check out my thesis defense slides for further information
2019 Continuity of Weighted Operators in A_p weights and Steklov Problem for Orthogonal Polynomials
joint with Alexander Aptekarev, Sergey Denisov
IMRN Check out my thesis defense slides for further information

Smaller Notes/Expository articles

Year NamePaper LinkComments
2021 Tops of dyadic grids
joint with Eric Sawyer and Ignacio Uriarte-Tuero
ArXiv Preprint