MAnET Metric Analysis for Emergent Technologies

Giovanni Canarecci

Ph.D. student @ Helsingin Yliopisto (UNIHE)

since 10/1/2014 for 3 years.

under the supervision of Prof. Ilkka Holopainen

Research

I graduated in Bologna in 2012 for my BA and in 2014 for my Master. I spent the last semester of my Master at the University of Arkansas, US, where I mostly worked on my final thesis “Analysis of the Kohn Laplacian on the Heisenberg Group and on Cauchy-Riemann Manifolds”. During my first year in Helsinki as a PhD student, I attended to courses and studied papers related to minimal surfaces and Heisenberg group.

Complementary training activities:

• [Course] Conference Presentations - a.a. 2014-2015 Helsinki, Finland
• [Course] Practical teaching - a.a. 2014-2015 Helsinki, Finland
• [Course] Language courses - a.a. 2014-2015 Helsinki, Finland

Local training activities:

• [Course] Fractal sets in analysis (lecturer P.Mattila) - a.a. 2014-2015 Helsinki, Finland
• [Course] Geometric measure theory and calculus of variations (lecturer P. Mattila) - a.a. 2014-2015 Helsinki, Finland
• [Course] Minimal surfaces (lecturer I. Holopainen) - a.a. 2014-2015 Helsinki, Finland
• [Course] Ratkomo (solvery guidance) - from Spring 2015 to Fall 2017 Unihe, Helsinki, Finland

Network-wide training activities:

• [Summer School] Analysis and Geometry in metric spaces - July 6-10, 2015 Levico Terme, TN, Italy
• [Workshop] Geometric Analysis in the Heisenberg group - March 4-6, 2015 Bologna, Italy
• [Workshop] Analysis and Geometry in metric spaces - June 1-5, 2015 Madrid, Spain
• [Workshop] Geometric mesaure theory, optimal mass transportation and PDEs - June 15-19, 2015 Sant Feliu de Guíxols, Spain
• [Workshop] Sub-Riemannian Analysis, PDE and Applications - January 26-30, 2015 Berna, Swiss
• [Summer School] New trends on Analysis and Geometry in Metric Spaces - June 26-30, 2017 Levico, Italy
• [Summer School + Workshop] 27th Jyväskylä Summer School and MAnET-miniworkshop - August 7-18, 2017 Jyväskylä, Finland

Talks and Poster Presentations:

• [Talk] Currents in the Heisenberg Group at Mid-term Review Meeting - December 9, 2015 Helsinki, Finland
• [Talk] Currents in the Heisenberg Group at MAnET Metric Analysis Meeting - January 18-19, 2017 Paris, France

Secondment:

• UNIBO - October 8 to December 23, 2016 Bologna, Italy

Publications and Preprints

• G. Canarecci, Currents in the Heisenberg Group report
• G. Canarecci, Currents in the Heisenberg Group, II part report
• G. Canarecci, Reseach Report report