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Phone: + 814-863-2036

Email: alm24@psu.edu

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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.

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.

Curriculum Vitae