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                Lorenzo Mazzieri
                     Associate Professor in Mathematical Analysis 
                Dipartimento di Matematica
                Università degli Studi di Trento                              



CONTACTS:
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


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. 337370).


PREPRINTS:

1) V. Agostiniani and L. Mazzieri  Montonicity formulas in potential theory (2016)

2) V. Agostiniani and L. Mazzieri  On the geometry of the level sets of bounded static potentials (2015);

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