Professor of Mathematics
PhD, University of Chicago, 1990
MS, University of Chicago, 1986
Other, University of Rome 1 "La Sapienza", 1984
Antonella Marini was born in Italy. She did her graduate studies in Mathematics at the University of Chicago, specializing in gauge theories. She has worked at the Courant Institute of NYU as a Postdoctoral Fellow (1990-1991), at the University of Utah as a full time Instructor (1991-1993), at the University of L'Aquila, as a tenured Researcher (1993-1998) and as a tenured Associate Professor (since 1998 -- currently on leave). She joined Yeshiva University in 2007.
Her research involves the areas of Geometric Analysis, Partial Differential Equations and Mathematical Physics. More specifically, it focuses on nonlinear partial differential equations and boundary value problems arising in gauge theories, such as Yang-Mills and Yang-Mills-Higgs theory, bosonic field theories and nonlinear Hodge and Hodge-Frobenius Theory. Other research interests include the Calculus of Variations, harmonic maps, Ginzburg Landau vortices, quantum field theories (all related to her work on gauge theories); elliptic--hyperbolic equations and applications (related to her work on the Hodge-Frobenius equations). Her teaching interests include Ordinary and Partial Differential Equations with applications to modeling in Environmental and other sciences, Calculus and Advanced Calculus, Topology, Linear Algebra, Real and Complex Variables, Functional Analysis, Geometric Analysis, Morse Theory, Differential Geometry and Lie Groups.
Instructorship Award. University of Utah 1993. Based on teaching and research excellence.
Her most recent publications include the following. Co-authored with T. H. Otway: "Duality methods for a class of quasilinear systems", Annales de l'Institut Henri Poincare / Analyse non lineaire, in press; "Hodge-Frobenius equations and the Hodge-Backlund transformation", Proceedings of the Royal Society of Edimburgh, 140A, 787-819, 2010; "Constructing completely integrable fields by the method of generalized streamlines", arXiv:1205.7028v2 [math.AP], submitted. Co-authored with V. Moncrief and R. Maitra: "Modified Semi Classical Methods for Nonlinear Quantum Oscillations Problems", J. Math. Phys. 53, 103516 (2012). Co-authored with T.Isobe: "Small coupling limit and multiple solutions to the Dirichlet problem for Yang-Mills connections in 4 dimensions, part I", J. Math. Phys. 53, 063706 (2012); and part II, J. Math. Phys. 53, 063707 (2012).
Wilf campus - Belfer Hall