Moritz Egert

I am interested in Harmonic Analysis and Functional Calculus and their applications to Partial Differential Equations (PDEs), in particular to elliptic and parabolic Divergence Form Operators.

You might know me from Jonas Sauer's award-winning podcast.

Up-to-date versions of my publications can be found on HAL and arXiv. Inaccuracies that are pointed out to me after publication are usually corrected in these versions. (Making them better than the actual journal versions.)

Three selected publications

• L2 well-posedness of boundary value problems for parabolic systems with measurable coefficients (with P. Auscher and K. Nyström), J. Eur. Math. Soc. (JEMS) 22 (2020), no.9, 2943-3058.arXiv (2017)
• Sobolev contractivity of gradient flow maximal functions (with S. Bortz and O. Saari), Adv. Calc. Var. 17 (2024), no.4, 1487–1505.arXiv
• The Kato square root problem on locally uniform domains (with S. Bechtel and R. Haller-Dintelmann) Adv. Math. 375 (2020).arXiv

My profile on google scholar.

• Ordinary Differential Equations (Moodle Kurs, Videos)
• Complex Analysis (Moodle Kurs, Videos)

If you are interested in a Bachelor's or Master's thesis in my group, feel free to contact me.

Office hour: By appointment (contact me via email).

Coffee hour: Join me during my “Barista” time at Coffee&Pi. Upcoming: May 27, June 10, June 24, July 1, 1pm – 2pm.