Donatella Danielli

 

Education

 

Laurea cum Laude

University of Bologna

 1989

Ph.D. in Mathematics 

Purdue University        

(Ph. D. Advisor: Carlos E. Kenig)

 1999

Professional Experience

 

Teaching Assistant

Purdue University

1992-99

Assistant Professor

Johns Hopkins University

1999-2001

Visiting Assistant Professor

Institut Mittag-Leffler

2000, Spring

Assistant Professor

Purdue University

2001-2004

Associate Professor

Purdue University

2004-2008

Professor

Purdue University

2008-

Visiting Fellow

Isaac Newton Institute

2014, Spring

 

Honors and Awards

 

  Post Lauream C.N.R. Fellowship

     University of  Bologna                                      

 1990-91

  I.N.D.A.M.  Fellowship

     I.N.D.A.M. 

 1990

  P.R.F. Fellowship

     Purdue University                                             

 1996-97

  C.N.R. Fellowship

     Purdue University                                             

 1996-98

  Teaching for Tomorrow Award

     Purdue University

 2004-05

  Ruth and Joel Spira Graduate Teaching Award

  Butler Leadership in Action Award

  Simons Fellowship in Mathematics

     Purdue University

     Purdue University

     Simons Foundation

 2011

 2013

 2014

  Fellow of the American Mathematical Society

     AMS

 2017

 

Research Interests

 

  Partial Differential Equations; Calculus of Variations; Geometric Measure Theory.

 

Research funding

 

N.S.F. Grant DMS-0202801             

Purdue University      

2002-2005

N.S.F. CAREER Grant DMS-0239771

Purdue University      

2003-2010

N.S.F. Grant DMS-0801090           

Purdue University      

2008-2013

N.S.F. Grant DMS-1101246      

Purdue University   

  2011-2016

Simons Fellowship

Simons Foundation

  2014

 

N.S.F. Grant DMS-1500796

Purdue University

  2015

 

Purdue Research Foundation

Purdue University

  2015-2016

 

 

 

 

 

 

Graduate Students

 

William E. Lindsey, May 2012

Agnid Banerjee, May 2014 (co-Chair)

Thomas Backing, May 2016

Kevin Rotz, May 2016 (co-Chair)

 

Postdoctoral Advisees

 

Tung To, 2008-2010

Veronica Quitalo, 2013-2016

 

  

Colloquia and Invited Lectures at Meetings

 

1.     Boundary regularity in the Dirichlet problem for nonlinear subelliptic equations, “Partial Differential Equations”, organizers E. Lanconelli and G. Talenti, Bologna, Italy, June 1994.

2.     Capacitary estimates and the local behavior of solutions of nonlinear sub-elliptic equations, “Harmonic Analysis and its Applications”, I.S.I. Guccia, Palermo, Italy, December 1994.

3.     Interior and boundary regularity for solutions of nonlinear subelliptic equations and capacitary estimates, “Partial Differential Equations of Elliptic Type”, Cortona, Italy, May 1996.

4.     A Fefferman-Phong type inequality and applications, “Partial Differential Equations of Elliptic Type”, Cortona, Italy, May 1996.

5.     A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, Purdue University, January 1999.

6.     Singular perturbations of a parabolic free boundary problem arising in combustion theory, “Geometry and regularity of free boundaries”, Royal Institute of Technology, Stockholm, Sweden, February 2000.

7.     A singular perturbation problem for the p-Laplace operator:  Uniform estimates and limits, Kansas State University, October 2000.

8.     The subelliptic obstacle problem, AMS Sectional Meeting, Lawrence, Kansas, March 2001.

9.     Non-doubling Ahlfors measures, perimeter measures, and the characterization of the trace spaces of Sobolev functions in Carnot-Caratheodory spaces, 49th Midwest PDE Seminar (Conference in honor of D. Adams, J. Lewis, and R. Gariepy), Lexington, Kentucky, March 2002.

10.  The theorem of Busemann-Feller-Alexandrov in Carnot groups, Kansas State University, October 2003.

11.  Variational Inequalities and free boundaries for quasilinear operators, University of Missouri at Columbia, April 2004.

12.  The Theorem of Busemann-Feller-Alexandrov on Carnot Groups, The 2nd Chicago area PDE seminar, University of Chicago, May 2004.

13.  Variational inequalities and free boundaries for the p-Laplace operator, International Conference on Harmonic Analysis and Partial Differential Equations in honor of Carlos E. Kenig, University of Chicago, September 2004.

14.  Hypersurfaces of minimal type in sub-Riemannian geometry, Seventh New Mexico Analysis Seminar, University of New Mexico, October 2004.

15.  Variational inequalities and free boundaries for the p-Laplace operator, AMS Sectional Meeting, Albuquerque, New Mexico, October 2004.

16.  A Partial Solution of the Isoperimetric Inequality for the Heisenberg Group, AMS Sectional Meeting, Notre Dame, Indiana, April 2006.

17.  Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group H1, AIMS Sixth International Conference on Dynamical Systems, Differential Equations and Applications, University of Poitiers, France, June 2006.

18.  The sub-elliptic obstacle problem: C1,a regularity of the free boundary in Carnot groups of step two, 6th International Congress on Industrial and Applied Mathematics, ETH, Zurich, July 2007.

19.  Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem, Connections for Women:  Free Boundary Problems, Theory and Applications, MSRI, January 2010.

20.  Make a Difference, Science Women for Purdue Event, Purdue University, March 2011. 

21.  Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem, International Conference: Recent Development on L∞-Variational Problems and Associated Nonlinear Partial Differential Equations, University of Kentucky, Lexington, Kentucky, May 2011.

22.  Analytic and Geometric Properties of Some Variational Inequalities and PDEs, Worcester Polytechnic Institute, January 2013.

23.  Frequency Functions, Monotonicity Formulas, and the Thin Obstacle Problem, Career Options for Women in Mathematical Sciences, IMA, March 2013.

24.  Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem, Rutgers University, October 2013.

25.  Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem, AMS Sectional Meeting, Temple University, October 2013.

26.  Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem, International Conference on Free Boundary Problems: Theory and Applications, Isaac Newton Institute, June 2014.

27.  Frequency Functions, Monotonicity Formulas, and the Free Boundary in the Thin Obstacle Problem, X Americas Conference on Differential Equations and Nonlinear Analysis, University of Buenos Aires, February 2015.   

28.  Regularity Results in a Class of Permeability Problems, Workshop for Women in Analysis and PDEs, IMA, May 2015.  

29.  Regularity Results in a Class of Permeability Problems, Women in Math Day, Bradley University, Sept. 2015.

30.  Regularity Results for a Penalized Boundary Obstacle Problem, AMS Sectional Meeting, Indiana University, April 2017.

31.  Regularity Results for a Penalized Boundary Obstacle Problem”, AMS Sectional Meeting,  Hunter College, May 2017.

 

Individual Invited Lectures

 

1.     The local behavior of solutions of nonlinear subelliptic equations, University of Bologna, Italy, July 1994.

2.     A Fefferman-Phong type inequality and applications to quasilinear subelliptic equations, University of Bologna, Italy, June 1996.

3.     Trace inequalities of Fefferman-Phong type and applications, Royal Institute of Technology, Stockholm, Sweden, June 1997.

4.     A two phase parabolic free boundary problem arising in flame propagation: Uniform estimates and limits, Purdue University, September 1997.

5.     A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, Brown University, February 1999.

6.     A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, University of Pittsburgh, February 1999.

7.     A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, Texas A&M University, February 1999.

8.     A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, The Johns Hopkins University, February 1999.

9.     A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, University of Arkansas, February 1999.

10.  A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, Georgia Institute of Technology, February 1999.

11.  A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, University of Texas at Austin, April 1999.

12.  A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, Ohio State University, June 1999.

13.  Singular perturbations of a two phase parabolic free boundary problem: Uniform estimates and limits, Polytechnic of Milan, July 1999.

14.  Singular perturbations of a two phase parabolic free boundary problem: Uniform estimates and limits, University of Bari, July 1999.

15.  A singular perturbation approach to a two phase parabolic free boundary problem arising in flame propagation, University of Pennsylvania, October 1999.

16.  Singular perturbations of a parabolic free boundary problem arising in flame propagation, University of Maryland, December 1999.

17.  Singular perturbations of a parabolic free boundary problem arising in combustion theory, Linköping University, Sweden, March 2000.

18.  Optimal regularity in the subelliptic obstacle problem, Institut Mittag-Leffler, Stockholm, Sweden, April 2000.

19.  Singular perturbation problems arising in combustion theory, Notre Dame University, October 2000.   

20.  Variational inequalities with lack of ellipticity, Purdue University, August 2001.

21.  The method of moving spheres for elliptic Weingarten surfaces, Purdue University, September 2002.

22.  The method of moving spheres for elliptic Weingarten surfaces, The University of Texas at Austin, April 2003.

23.  The isoperimetric inequality, Dean's Freshman Honors Seminar, Purdue University, April 2003.

24.  An introduction to partial differential equation, Liftoff Seminar, Purdue University, October 2003.

25.  A Partial Solution of the Isoperimetric Problem for the Heisenberg Group, University of Virginia, February 2006.

26.  A Partial Solution of the Isoperimetric Problem for the Heisenberg Group, University of California at Los Angeles, March 2006.

27.  Instability of graphical strips and a positive answer to the Bernstein problem in the Heisenberg group, Johns Hopkins University, March 2007.

28.  Minimal Surfaces in the Heisenberg Group, Purdue University, October 2007.

29.  Partial Differential Equations: Real Analysis (and more!) at work, Bridge to Research Seminar, Purdue University, April 2010.

30.  A sampler of free boundary problems: the interplay between PDEs and the Calculus of Variations, Bridge to Research Seminar, Purdue University, October 2011.         

31.  Optimal Regularity and the Free Boundary in the Parabolic Signorini Problem, Purdue University, February 2012.

32.  Free Boundary Problems: When Partial Differential Equations meet Calculus of Variations, October 2013.

33.  Free Boundary Regularity in the Parabolic Signorini Problem, Isaac Newton Institute, April 2014.

34.  Frequency Functions, Monotonicity Formulas, and the Thin Obstacle Problem, Oxford University, May 2014.

35.  Frequency Functions, Monotonicity Formulas, and the Free Boundary in the Thin Obstacle Problem, University of Bergen, May 2014.

36.  Frequency Functions, Monotonicity Formulas, and the Thin Obstacle Problem, Johns Hopkins University, December 2014.

37.  Frequency Functions, Monotonicity Formulas, and the Parabolic Signorini Problem, MIT,  March 2015.

38.  Frequency Functions, Monotonicity Formulas, and the Parabolic Signorini Problem, Brown University, March 2015.

39.  Frequency Functions, Monotonicity Formulas, and the Parabolic Signorini Problem, Columbia University, April 2015.

40.  Regularity results for a class of permeability problems, University of Texas at Austin, May 2015.

41.  Regularity results for a class of permeability problems, Polytechnic of Milan, June 2015.

42.  Regularity results for a class of permeability problems, University of Modena and Reggio Emilia, July 2015.

 

Professional Service

 

Undergraduate Advisor Coordinator, Johns Hopkins University, 2000-01. 

AMS - UMI First Joint International Meeting, Special Session Organizer, June 2002. 

Exciting Science @ Purdue (School of Science recruitment event), Organizer, April 2003 and April 2004. 

Symposium on Analysis and PDEs, Purdue University, Organizer, May 2003 and June 2004. 

Symposium on Analysis and PDEs, Purdue University, co-Organizer, May 2007, May 2009, May 2012, June 2015. 

Women in Mathematics Day at Purdue, creator and co-Organizer, Fall 2007-2017.

Graduate Research Day at Purdue, creator and co-Organizer, Spring 2013-14, Fall 2016-17.

72nd Midwest PDE Seminar, Purdue University, Fall 2013, co-Organizer.

Program on Free Boundary Problems and Related Topics, Isaac Newton Institute (Cambridge, UK), Spring 2014, Weekly Seminar Organizer.

AMS Sectional Meeting, October 2016, Special Session Co-organizer.

Midwest Analysis/PDEs Women Conference, Purdue University, April 2018, Co-organizer.

 

Departmental Committees:

                                Elementary Services Committee (2005-2006)

        Promotion Committee (2008-09)

        Graduate Committee (2008-2013)

        Teaching Load Committee (2007-09)

                                Special Qualifying Exams Committee (2008-09)

                                Personnel Committee (2009-13, 2015-present)

                                Head Search Committee (2006-07, 2010-11, 2012-13)

        Recruiting Committee (2010-2013)

        Award Committee (2016-present)

 

CoS and University Service:

                                            Clare Boothe Luce Fellows Program Committee (2006-08)

                                            Strategic Planning Oversight Committee (2009-10)

  Ad Hoc Steering Committee on Core Curriculum (2009-10)

  Grievance Hearing Committee (2006-08, 2010-2012)

  University Promotion Committee (2011-2013; 2017-2020)

  University Grade Appeal Committee (2012-2015)

  Advisory Committee on Equity (2013-2016)

  Censure and Dismissal Committee (2013-2016)

  CoS Area Promotion Committee (2015-2017)

  Architectural and Landscape Design and Planning Committee (2016-2021) 

 

Other Professional Service:

                                           Faculty mentor for the Association for Women in Mathematics network (2008-present)

                                           Faculty mentor for Horizons Student Support Services (2009-present)

                                           Indiana EDGE Mentoring Cluster Leader (2009-2012)

                                           Local site organizer for the Indiana State Mathematics Contest (2010-2013, 2015)

                                           Faculty mentor for Butler Mentors Program (2011-present)

                                           Faculty sponsor of the Student Chapter of the Association for Women in Mathematics at Purdue University (2011-present)

                                           AWM Ruth Michler Prize Committee (2012-15)

 

 

NSF Review Panel and Site Visit Member.

 

Editorial Board Member of International Scholarly Research Notices.

 

Referee for:  NSF, Birkhauser, Proc. AMS, Jour. Diff. Eq., Comm. PDE, Jour. Math. Anal. Appl., SIAM Jour. Math. Anal., Math. Ann., Journal London Math. Soc., Trans. A.M.S., Potential Analysis, Adv. Math., Annals Math., Memoirs AMS, Interfaces and Free Boundaries, Math. Nachr., Proc. Royal Soc. Ed., Electronic Jour. Diff. Eq., Jour. Geom. Anal., Math. Zeit., Pacific Jour. Math, Advances in Calculus of Variations, Journal Math. Anal. Appl., Indiana Univ. Math. Jour.