Anna Mazzucato
Professor of Mathematics | Distinguished Senior Scholar | Associate Head for Administration
Photo by Pawel Konieczny.
Editorial Boards and Committees
- Editor, Analysis & PDE (2021-present)
- Editor, Applied Mathematics & Optimization (2023-present)
- Editorial Board, Journal of Mathematical Fluid Mechanics (2021-present)
- Associate Editor, Multiscale Modeling and Simulation: a SIAM interdisciplinary journal (MMS) (2020-present)
- Editor, Nonlinear Differential Equations and Applications NoDEA(2020-present)
- Editor, Nonlinearity (2019-present)
- Editor, Physica D (2019-present)
- Editor, Research in the Mathematical Sciences (2022-present)
- Associate Editor, SIAM Journal on Mathematical Analysis (SIMA) (2016-present)
- Member, Editorial Boards Committee, American Mathematical Society.
Honors and Awards
- 2023 Fellow in Mathematics, Simons Foundation.
- 2021 Fellow, Society for Industrial and Applied Mathematics.
- 2019 Teresa Cohen Mathematical Service Award, Penn State University.
- 2011 Ruth I. Michler Memorial Prize, awarded by the Association for Women in Mathematics.
Previous and Visiting Position
- Visiting Professor, New York University-Abu Dhabi, January-May 2020.
- Long-term Visitor, Institute for Computational and Experimental Research in Mathematics, February-March, 2017
- Secretary, SIAM Activity Group on Analysis of PDE, January 2013-December 2014
- Core Visitor, Institute for Pure and Applied Mathematics, September-October 2014
- Associate Professor, Penn State University, 2009-2013
- Michler Visiting Fellow, Cornell University, Spring 2012
- Long-term visitor, Institute for Mathematics and its Applications, January-June 2010.
- Assistant Professor, Penn State University, 2003-2009
- Gibbs Instructor, Yale University, 2000-2003 (on-leave 2001-2002)
- Postdoctoral Associate, Institute for Mathematics and its Applications, January-June 2002
- Postdoctoral Fellow, Mathematical Sciences Research Institute, August-December 2001
- Liftoff Fellow, Clay Mathematics Institute, June-July 2000
Education
- Ph.D. Mathematics, University of North Carolina at Chapel Hill , 2000. Adviser: Michael E. Taylor.
- B.S./M.S. Physics, Milan University, Italy, 1994. Adviser: Paolo Cotta-Ramusino.
Conferences/Programs Organized
- 2024 SIAM Annual Meeting, Spokane, WS, July 8-12, 2024.
- SIAM Conference on Analysis of Partial Differential Equations (PD22) (virtual), March 14 – 18, 2022.
- Program Mathematical aspects of turbulence: where do we stand?, Isaac Newton Institute, Cambridge University, January 4-June 24, 2022.
- Connections Workshop: Mathematical problems in fluid dynamics, Mathematical Sciences Research Institute (MSRI), Berkeley, January 20-22, 2020.
- Workshop Transport and Mixing in Complex and Turbulent Flows, Institute for Pure and Applied Mathematics (IPAM), UCLA, January 11-15, 2021.
- Workshop Mathematical Aspects of Hydrodynamics, Mathematics Institute, Oberwolfach, Germany, August 18-23, 2019.
- XVII International Conference on Hyperbolic Problems Theory, Numerics, Applications, Penn State University, June 25-29, 2018.
- Irregular Transport: Analysis and Applications, University of Basel, Basel, Switzerland, June 26-30, 2017.
- Recent Advances in hydrodynamics, Banff International Research Station, Bannf, Canada, June 5-10, 2016.
- Summer School on Transport, Mixing, and Fluids, Levico Terme, Italy, Jule 20-24, 2015.
- Workshop Mathematical Analysis of Turbulence, Thematic Program “Mathematics of Turbulence”, IPAM, UCLA, September 29-October 3, 2014.
- School “Around Vortices: from Continuum to Quantum Mechanics”, Thematic Program on Incompressible Fluids, IMPA, Rio de Janeiro, Brazil, March 12-21, 2014.
- A Conference on Partial Differential Equations Analytic and Geometric Aspects in honor of Michael Taylor’s 65th birthday, UNC-Chapel Hill, July 16-20, 2012.
- Workshop on the Mathematics of Financial Risk Management, Penn State, May 10-11, 2012.
- 3rd Workshop in Fluids and PDE, June 27 – July 1, 2011, Campinas, Brazil.
Research Interest – Analysis of Partial Differential Equations:
- Fluid Mechanics: boundary layers, vanishing viscosity limit, optimal mixing, well-posedness of the fluid equations.
- Elasticity: anisotropic elastostatics in generalized polyhedral domains (with applications to the Finite Element and Generalized Finite Element Methods), quasi-static crack formation, elastic dislocations, wave propagation in anisotropic elastic media.
- Inverse Problems: uniqueness and reconstruction of elastic moduli in anisotropic elasticity, determination of elastic dislocations in seismology, parameter estimation for Kolomogorov equations.
Ensemble of Bred Vectors for a model of Thermohaline Circulation
(MATLAB © generated,
N. Balci, A. Mazzucato, J. Restrepo, and G. Sell)
FEM solution of the Laplace equation in a crack domain with Dirichlet b. c.
(Generated using C code, available here ,
H. Li and V. Nistor.)
Section of slowness surface for transversely isotropic media
(MAPLE© generated,
A. Mazzucato & L. Rachele)
Research partially supported by grants from the National Science Foundation, Division of Mathematical Sciences.
Fields of Expertise
- Continuum Mechanics.
- Analysis of Partial Differential Equations.
- Inverse Problems.
- Global analysis, analysis on Manifolds.
- Harmonic and Microlocal Analysis.
- Numerical Analysis.