Donatella Danielli
Laurea cum Laude 
University
of Bologna 
1989 
Ph.D. in Mathematics 
Purdue University (Ph. D. Advisor: Carlos E. Kenig) 
1999 
Teaching Assistant 
Purdue University 
199299 
Assistant Professor 
Johns Hopkins University 
19992001 
Visiting Assistant Professor 
Institut MittagLeffler 
2000, Spring 
Assistant Professor 
Purdue University 
20012004 
Associate Professor 
Purdue University 
20042008 
Professor 
Purdue University 
2008 
Visiting Fellow 
Isaac Newton Institute 
2014, Spring 
Honors and Awards
Post Lauream
C.N.R. Fellowship 
University of Bologna

199091 
I.N.D.A.M. Fellowship 
I.N.D.A.M. 
1990 
P.R.F. Fellowship 
Purdue University

199697 
C.N.R. Fellowship 
Purdue
University

199698 
Teaching for Tomorrow Award 
Purdue University 
200405 
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 
Partial Differential Equations; Calculus of Variations; Geometric Measure
Theory.
N.S.F.
Grant
DMS0202801 
Purdue
University 
20022005 

N.S.F. CAREER Grant DMS0239771 
Purdue University 
20032010 

N.S.F.
Grant
DMS0801090 
Purdue University 
20082013 

N.S.F.
Grant DMS1101246 
Purdue University 
20112016 

Simons
Fellowship 
Simons Foundation 
2014 


N.S.F. Grant DMS1500796 
Purdue University 
2015 


Purdue Research Foundation 
Purdue University 
20152016 









William E. Lindsey,
May 2012
Agnid Banerjee, May 2014 (coChair)
Thomas Backing,
May 2016
Kevin Rotz,
May 2016 (coChair)
Postdoctoral Advisees
Tung To,
20082010
Veronica Quitalo, 20132016
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 subelliptic
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
FeffermanPhong 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 pLaplace operator: Uniform estimates and limits, Kansas
State University, October 2000.
8.
The
subelliptic obstacle problem, AMS Sectional Meeting, Lawrence, Kansas, March
2001.
9.
Nondoubling
Ahlfors measures, perimeter measures, and the characterization of the trace
spaces of Sobolev functions in CarnotCaratheodory spaces, 49th Midwest PDE
Seminar (Conference in honor of D. Adams, J. Lewis, and R. Gariepy), Lexington,
Kentucky, March 2002.
10. The theorem of
BusemannFellerAlexandrov 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
BusemannFellerAlexandrov on Carnot Groups, The 2nd Chicago area PDE seminar,
University of Chicago, May 2004.
13. Variational inequalities and free
boundaries for the pLaplace 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
subRiemannian geometry, Seventh New Mexico Analysis Seminar, University of New
Mexico, October 2004.
15. Variational inequalities and free
boundaries for the pLaplace 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 H^{1},
AIMS Sixth International Conference on
Dynamical Systems, Differential Equations and Applications, University of
Poitiers, France, June 2006.
18. The subelliptic obstacle problem: C^{1,}^{a} regularity of the free boundary in
Carnot groups of step two, 6^{th} 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.
1. The local behavior of solutions of nonlinear
subelliptic equations, University of Bologna, Italy, July 1994.
2. A FeffermanPhong type inequality and applications to quasilinear subelliptic equations, University of Bologna, Italy, June 1996.
3. Trace inequalities of FeffermanPhong 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 MittagLeffler, 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, 200001.
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, coOrganizer, May 2007, May 2009, May
2012, June 2015.
Women
in Mathematics Day at Purdue, creator and coOrganizer, Fall 20072017.
Graduate Research Day at
Purdue, creator and coOrganizer, Spring 201314, Fall
201617.
72^{nd} Midwest
PDE Seminar, Purdue University, Fall 2013,
coOrganizer.
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 Coorganizer.
Midwest Analysis/PDEs
Women Conference, Purdue University, April 2018, Coorganizer.
Departmental Committees:
Elementary Services Committee (20052006)
Promotion Committee (200809)
Graduate Committee (20082013)
Teaching Load Committee (200709)
Special Qualifying Exams Committee (200809)
Personnel Committee (200913, 2015present)
Head Search Committee (200607, 201011, 201213)
Recruiting Committee (20102013)
Award Committee (2016present)
CoS and University Service:
Clare Boothe Luce Fellows Program Committee (200608)
Strategic Planning Oversight Committee (200910)
Ad Hoc Steering Committee on Core Curriculum (200910)
Grievance Hearing Committee (200608, 20102012)
University
Promotion Committee (20112013; 20172020)
University Grade Appeal Committee
(20122015)
Advisory Committee on Equity (20132016)
Censure and Dismissal Committee
(20132016)
CoS Area Promotion
Committee (20152017)
Architectural and Landscape Design and
Planning Committee (20162021)
Other
Professional Service:
Faculty mentor for the Association for Women in Mathematics network (2008present)
Faculty mentor for Horizons Student Support Services (2009present)
Indiana EDGE Mentoring Cluster Leader (20092012)
Local site organizer for the Indiana State Mathematics Contest (20102013, 2015)
Faculty mentor for Butler Mentors Program (2011present)
Faculty sponsor of the Student Chapter of the Association for Women in Mathematics at Purdue University (2011present)
AWM Ruth Michler
Prize Committee (201215)
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.