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                Lorenzo Mazzieri
                     Associate Professor 
       in Mathematical Analysis 

      Università degli Studi di Trento                              





Address: via Sommarive 14, 38123 Povo (TN) - ITALY


Office: 276
Phone: +39 0461 28 1672


E-Mail: lorenzo.mazzieri<at>unitn<dot>it






RESEARCH INTERESTS:

- Geometric Analysis
- Riemannian Geometry
- Partial Differential Equations
- Mathematical aspects of General Relativity





CURRICULUM VITAE:

English version (pdf) 





SCIENTIFIC PAPERS:


1) L. Mazzieri — Generalized connected sum construction for nonzero constant scalar curvature metrics (Communications in Partial Differential Equations, vol. 33 (2008), Issue 1, pp. 1–17); 

2) L. Mazzieri — Generalized connected sum construction for scalar flat metrics (Manuscripta Mathematica, vol. 129 (2009), Issue 2, pp. 137—168); 

3) L. Mazzieri — Generalized gluing for the Einstein constraint equations (Calculus of Variations and Partial Differential Equations, vol. 34 (2009), Issue 4, pp. 453—473); 

4) G. Catino and L. Mazzieri — Connected sum construction for σk-Yamabe metrics (Journal of Geometric Analysis, vol. 23 (2013), no.2, pp. 812—854); 

5) G. Catino, C. Mantegazza, L. Mazzieri and M. Rimoldi — Locally conformally flat quasi Einstein manifolds (Journal fuer die reine und angewandte Mathematik, vol. 2013 (2013), Issue 675, pp. 181—189); 

6) L. Mazzieri and A. Segatti — Constant σk-curvature metrics with Delaunay type ends (Advances in Mathematics, vol. 229 (2012), Issue 6, pp. 3147–3191); 

7) G. Catino, C. Mantegazza and L. Mazzieri — On the global structure of conformal gradient solitons with nonnegative Ricci tensor (Communications in Contemporary Mathematics, vol.14 (2012), Issue 6, 12 pp.); 

8) H.-D. Cao, G. Catino, Q. Chen, C. Mantegazza and L. Mazzieri — Bach flat gradient steady Ricci solitons (Calculus of Variations and Partial Differential Equations, vol.49 (2014), Issue 1-2, pp. 125—138); 

9) E. Delay and L. Mazzieri — Refined gluing for vacuum Einstein constraint equations (Geometriae Dedicata, 173 (2014), Issue 1, pp. 393–415); 

10) M. Gonzalez and L. Mazzieri — Singularities for a fully non-linear elliptic equation in conformal geometry (Bulletin of the Institute of Mathematics Academia Sinica (New Series), special issue in honor of Prof. Neil Trudinger, 9 (2014), No. 2, pp. 223-244);

11) G. Catino, C. Mantegazza and L. Mazzieri — A note on Codazzi tensors (Mathematische Annalen, 362 (2015), Issue 1, pp. 629–638);

12) G. Catino, L. Mazzieri and S. Mongodi — Rigidity of gradient Einstein shrinkers (Communications in Contemporary Mathematics vol.17 (2015), Issue 6, 18 pp.);

13) G. Catino, C. Mantegazza and L. Mazzieri — Locally conformally flat ancient Ricci flows (Analysis & PDE, 8 (2015), No. 2, pp. 365–371);

14) V. Agostiniani and L. Mazzieri — Riemannian aspects of potential theory (Journal de Mathématiques Pures et Appliquées, 104 (2015), Issue 3, pp. 561–586);

15) G. Catino and L. Mazzieri — Gradient Einstein solitons (Nonlinear Analysis, 132 (2016), pp. 66–94);

16) C. Arezzo, R. Lena and L. Mazzieri — On the resolution of extremal and constant scalar curvature Kaehler orbifolds (International Mathematics Research Notices, Volume 2016 (2016), Number 21, pp. 6415–6452);

17) V. Agostiniani and L. Mazzieri — Comparing monotonicity formulas for electrostatic potentials and static metrics (Rend. Lincei Mat. Appl. 28 (2017), pp. 7–20); 

18) G. Catino, L. Cremaschi, Z. Djadli, C. Mantegazza and L. Mazzieri — The Ricci-Bourguignon flow (Pacific Journal of Mathematics 287-2 (2017), pp. 337–370);

19) V. Agostiniani and L. Mazzieri — On the geometry of the level sets of bounded static potentials (Communications in Mathematical Physics, Volume 335 (2017), Issue 1, pp. 261–301);

20) S. Borghini and L. Mazzieri — On the mass of static metrics with positive cosmological constant - I (To appear on Classical and Quantum Gravity);

21) S. Borghini, G. Mascellani and L. Mazzieri — Some sphere theorems in linear potential theory (To appear on Transactions of the AMS).





PREPRINTS:


1) M. Fogagnolo, L. Mazzieri and A. Pinamonti - Geometric aspects of p-capacitary potentials (2018);


3) V. Agostiniani and L. Mazzieri — Montonicity formulas in potential theory (2016);

4) L. Mazzieri and C.-B. Ndiaye — Existence of solutions for the singular σk-Yamabe problem (2010).