Quick Facts
Biography
Donatella Danielli is a professor of mathematics at Purdue University and is known for her contributions to partial differential equations, calculus of variations and geometric measure theory, with specific emphasis on free boundary problems. She received a Laurea cum Laude in Mathematics from the University of Bologna, Italy in 1989.She completed her doctorate in 1999 at Purdue, under the supervision of Carlos Kenig. Before joining the Purdue University faculty in 2001, she held positions at The Johns Hopkins University and at the Institut Mittag-Leffler in Sweden. She was also a visiting fellow at the Isaac Newton Institute for Mathematical Sciences in 2014.
She is the creator and organizer of the Symposia on Analysis and PDEs and of the Women in Mathematics Days, both at Purdue University. Her mathematics genealogy ID is 52294 .
Selected awards
She has been the recipient of a National Science Foundation CAREER Award in 2003, a Purdue University Teaching for Tomorrow Award in 2004, a Ruth and Joel Spira Award for Graduate Teaching in 2011, and a Butler Leadership in Action Award in 2013. She was awarded a Simons Fellow in Mathematics in 2014.In 2017, she became a Fellow of the American Mathematical Society "for contributions to partial differential equations and geometric measure theory, and for service to the mathematical community".
Selected publications
Books
- Capogna, Luca, et al. An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem. Vol. 259. Springer Science & Business Media, 2007.
Papers
- Danielli, Donatella Regularity at the boundary for solutions of nonlinear subelliptic equations. Indiana Univ. Math. J. 44 (1995), no. 1, 269–286.
- Capogna, Luca; Danielli, Donatella; Garofalo, Nicola Capacitary estimates and the local behavior of solutions of nonlinear subelliptic equations. Amer. J. Math. 118 (1996), no. 6, 1153–1196. (Reviewer: Chu Li Fu) 35H05 (35B45 35B65)
- Danielli, Donatella Regularity at the boundary for solutions of nonlinear subelliptic equations. Indiana Univ. Math. J. 44 (1995), no. 1, 269–286.Danielli, Donatella; Petrosyan, Arshak A minimum problem with free boundary for a degenerate quasilinear operator. Calc. Var. Partial Differential Equations 23 (2005), no. 1, 97–124.
- Danielli, Donatella; Garofalo, Nicola; Nhieu, Duy-Minh Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Carathéodory spaces. Mem. Amer. Math. Soc. 182 (2006), no. 857, x+119 pp.
- Recent developments in nonlinear partial differential equations. Proceedings of the 2nd Symposium on Analysis and PDEs held at Purdue University, West Lafayette, IN, June 7–10, 2004. Edited by Donatella Danielli. Contemporary Mathematics, 439. American Mathematical Society, Providence, RI, 2007.
- Capogna, Luca; Danielli, Donatella; Pauls, Scott D.; Tyson, Jeremy T. An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem. Progress in Mathematics, 259. Birkhäuser Verlag, Basel, 2007.
- Danielli, Donatella; Garofalo, Nicola; Petrosyan, Arshak The sub-elliptic obstacle problem: C1,α regularity of the free boundary in Carnot groups of step two. Adv. Math. 211 (2007), no. 2, 485–516.
- Danielli, D.; Garofalo, N.; Nhieu, D. M. Sub-Riemannian calculus on hypersurfaces in Carnot groups. Adv. Math. 215 (2007), no. 1, 292–378.
- Danielli, D.; Garofalo, N.; Nhieu, D. M.; Pauls, S. D. Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1. J. Differential Geom. 81 (2009), no. 2, 251–295.
Personal life
She and her husband, Nicola Garofalo (also a mathematician), have four children.