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Mantegazza Carlo

Carlo Mantegazza
Carlo Mantegazza
Palazzo della Carovana
phone. 050 509062
fax. 050 563513
e-mail: c.mantegazza A_T sns D_O_T it web: cvgmt.sns.it/HomePages/cm

Born in Bollate (Milano) the 1st of August 1970.
High School Degree in July 1989 with the result of 60/60.
University Degree in Mathematics with the result 110/110 "cum laude" at the Math. Dept. of University of Pisa, Italy (advisor Prof. Luigi Ambrosio), November 1993.
Degree of the Scuola Normale Superiore, December 1993.
PhD at the Scuola Normale Superiore, 1994/1995.

Winner of a permanent position of Researcher in Mathematical Analysis at the Scuola Normale Superiore in 1996.
Italian habilitation of Associate Professor in 2002.
Awarded with "Bartolozzi Prize" in 2003.
Awarded with "Ferran Sunyer i Balaguer Prize" in 2010.
Italian habilitation of Associate and Full Professor in 2013.

PhD Advisor of Giovanni Catino, Math. Dept. University of Pisa, 2009.
PhD Advisor of Annibale Magni, SISSA, Trieste (IT), 2009.
Degree Thesis Advisor of Giovanni Mascellani, Math. Dept. University of Pisa, 2013.
Member of the Editorial Board of the journal "Geometric Flows", De Gruyter, 2014.

RESEARCH ACTIVITY
Calculus of variations and geometric measure theory.
Functionals depending on curvature.
Nonlinear problems in Riemannian geometry.
Geometric evolutions, Ricci flow and mean curvature flow.

The Professor

Giovani Catino, Carlo Mantegazza and Lorenzo Mazzieri
Locally Conformally Flat Ancient Ricci Flows, Preprint, 2013.

Carlo Mantegazza, Samuele Mongodi and Michele Rimoldi
The Cotton Tensor and the Ricci Flow, Preprint, 2012.

Giovanni Catino, Carlo Mantegazza and Lorenzo Mazzieri
A Note on Codazzi Tensors, Preprint, 2012.

Laura Cremaschi and Carlo Mantegazza
Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three, 2013, to appear on Discrete Contin. Dyn. Syst.

Annibale Magni, Carlo Mantegazza and Matteo Novaga
Motion by Curvature of Planar Networks II, 2013, to appear on Annali Sc. Norm. Super. Pisa CL. Sci.

Carlo Mantegazza, Giovanni Mascellani and Gennady Uraltsev
On the Distributional Hessian of the Distance Function, 2013, to appear on Pacific. J. of Math.

Annibale Magni, Carlo Mantegazza
A Note on Grayson's Theorem, 2013, to appear on Rend. Semin. Mat. Univ. Padova.

Carlo Mantegazza and Reto Müller
Perelman's Entropy Functional at Type I Singularities of the Ricci Flow, 2012, to appear on J. Reine Angew. Math. (Crelle's Journal).

Nicola Gigli and Carlo Mantegazza
A Flow Tangent to the Ricci Flow via Heat Kernels and Mass Transport, Advances in Math. 250, 74-104, 2014.

Huai-Dong Cao, Giovanni Catino, Qiang Chen, Carlo Mantegazza and Lorenzo Mazzieri
Bach-Flat Gradient Steady Ricci Solitons, Calc. Var. 49, 125-138, 2014.

Annibale Magni, Carlo Mantegazza and Efstratios Tsatis
Flow by Mean Curvature inside a Moving Ambient Space, J. Evol. Eqs. 13, 561-576, 2013.

Giovanni Catino, Carlo Mantegazza, Lorenzo Mazzieri and Michele Rimoldi
Locally Conformally Flat Quasi-Einstein Manifolds, J. Reine Angew. Math. (Crelle's Journal) 675, 181-189, 2013.

Giovanni Catino, Carlo Mantegazza and Lorenzo Mazzieri
On the Global Structure of Conformal Gradient Solitons with Nonnegative Ricci Tensor, Commun. Contemp. Math. 14, 1250045, 12 pp., 2012.

Carlo Mantegazza and Luca Martinazzi
A Note on Quasilinear Parabolic Equations on Manifolds, Annali Sc. Norm. Super. Pisa CL. Sci. 11, 857-874, 2012.

Carlo Mantegazza
Lecture Notes on Mean Curvature Flow, Birkhäuser Verlag, 2011.

Giovanni Catino and Carlo Mantegazza
Evolution of the Weyl Tensor under the Ricci Flow, Ann. Inst. Fourier 61, 1407-1435, 2011.

Marco Caldarelli, Giovanni Catino, Zindine Djadli, Annibale Magni and Carlo Mantegazza
On Perelman's Dilaton, Geom. Dedicata 145, 127-137, 2010.

Carlo Mantegazza
Notes on the Distance Function from a Submanifold, Lecture Notes, 2010.

Annibale Magni and Carlo Mantegazza
Curves Homothetically Shrinking by Curvature, 2009.

Annibale Magni and Carlo Mantegazza
Some Remarks on Huisken's Monotonicity Formula for Mean Curvature Flow, in Singularities in Nonlinear Evolution Phenomena and Applications (M. Novaga and G. Orlandi eds.), CRM Series of Center "Ennio De Giorgi", Pisa, 157-169, 2009.

Manolo Eminenti, Gabriele La Nave and Carlo Mantegazza
Ricci Solitons - The Equation Point of View, Manuscripta Math. 127, 345-367, 2008.

Giovanni Bellettini, Carlo Mantegazza and Matteo Novaga
Singular Perturbations of Mean Curvature Flow, J. Diff. Geom. 75, 403-431, 2007.

Carlo Mantegazza
Evolution by Curvature of Networks of Curves in the Plane, Progress in Nonlin. Diff. Eqs. and Appl. 59, 95-109, 2004.

Manolo Eminenti and Carlo Mantegazza
Some Properties of the Distance Function and a Conjecture of De Giorgi, J. Geom. Anal. 14, 267-279, 2004.

Carlo Mantegazza, Matteo Novaga and Vincenzo Maria Tortorelli
Motion by Curvature of Planar Networks, Annali Sc. Norm. Super. Pisa Cl. Sci. 3, 235-324, 2004.

Carlo Mantegazza and Andrea Carlo Mennucci
Hamilton-Jacobi Equations and Distance Functions on Riemannian Manifolds, Appl. Math. Opt. 47, 1-25, 2003.

Carlo Mantegazza
Smooth Geometric Evolutions of Hypersurfaces, Geom. and Funct. Anal. 12, 138-182, 2002.

Irene Fonseca and Carlo Mantegazza
Second Order Singular Perturbation Models for Phase Transitions, SIAM J. Math. Anal. 31, 1121-1143, 2000.

Luigi Ambrosio, Camillo De Lellis and Carlo Mantegazza
Line Energies for Gradient Vector Fields in the Plane, Calc. Var. 9, 327-355, 1999.

Ilaria Fragalà and Carlo Mantegazza
On some Notions of Tangent Space to a Measure, Proc. Roy. Soc. Edinburgh Sect. A 129A, 331-342, 1999.

Luigi Ambrosio and Carlo Mantegazza
Curvature and Distance Function from a Manifold, J. Geom. Anal. 8, 723-748, 1998.

Giovanni Alberti and Carlo Mantegazza
A Note on the Theory of SBV Functions, BUMI 11-B, 375-382, 1997.

Carlo Mantegazza
Curvature Varifolds with Boundary, J. Diff. Geom. 43, 807-843, 1996.