Marco Fraccaroli
RG Analysis and Partial Differential Equations

Archives of the Mathematisches Forschungsinstitut Oberwolfach
Contact
Postal address: Mathematisches Institut Universität Bonn Endenicher Allee 60 D - 53115 Bonn |
Office: Endenicher Allee 60, N2.008 Phone: +49 (0) 228 73-6888 E-mail: mfraccar (at) math.uni-bonn.de |
I am currently a PhD student. My advisor is Prof. Dr. Christoph Thiele.
My CV.
Research interests
My main areas of interest are real and harmonic analysis.
My first main research interest lies in Lp theory for outer measure spaces. In particular, I am studying the duality properties of the single and double iterated outer Lp spaces.
My second main research interest lies in time-frequency analysis. In particular, I am studying boundedness properties of multilinear forms with symmetries given by modulations and matrix dilations.
Finally, I have studied the uniform restriction problem for convex planar curves, without any additional assumption on their smoothness.
Publications and preprints
Duality for outer Lpμ(ℓr) spaces and relation to tent spaces.
arXiv preprint: https://arxiv.org/abs/2001.05903
Submitted, March 2020.
Duality for double iterated outer Lp spaces.
In preparation.
A note on triangle inequality for outer Lpμ(ℓ∞) spaces.
In preparation.
Boundedness of multilinear forms associated with determinantal multipliers. (with Gennady Uraltsev)
In preparation.
Uniform Fourier restriction for convex curves in ℝ2.
In preparation.
Theses
My Master’s Degree was obtained from Universität Bonn, Germany, by March 1st, 2017, with a thesis on the topic of:
On distributions with GL2(ℝ) dilation symmetry.
Advisor: Prof. Dr. Christoph Thiele.
In this thesis we give a complete classification of the tempered distributions homogeneous of a certain degree under the GLn(ℝ) dilations for n=1 and n=2.
My Bachelor’s Degree was obtained from Università degli Studi di Padova, Italy, by September 26th, 2014, with a thesis on the topic of:
The Yamabe equation: analysis and solutions via the moving sphere method and the maximum principle (in Italian).
Advisor: Prof. Dr. Roberto Monti.
Slides and Notes
Coming soon.
Teaching
Course notes of V4B5: Real and Harmonic Analysis (winter term 2016/2017).
News
Corona: Maßnahmen im Mathematik-Zentrum
Mathemacher des Monats Dezember 2020: Dr. Antje Kiesel und Dr. Thoralf Räsch
Bonner Mathematik belegt bei Shanghai Ranking den 1. Platz in Deutschland und weltweit den 13. Platz
Prof. Georg Oberdieck erhält Heinz Maier-Leibnitz-Preise 2020
Prof. Daniel Huybrechts erhält gemeinsam mit Debarre, Macri und Voisin ERC Synergy Grant
Prof. Peter Scholze erhält Verdienstorden der Bundesrepublik Deutschland
Prof. Dr. Valentin Blomer wurde zum Mitglied der Academia Europaea gewählt
Prof. Peter Scholze erhält Fields-Medaille 2018