###### Lecture Notes & Videos

- The thin obstacle problem, International Workshop on Elliptic and Kinetic Partial Differential Equations, IMPA, Rio de Janeiro, Brazil, July 2015

- Monotonicity formulas and obstacle type problems, Introductory Workshop: Free Boundary Problems, Theory and Applications, MSRI, Berkeley, CA, January 2011

###### Selected Slides

- An epiperimetric inequality approach to the thin and fractional obstacle problems, Geometric Analysis, Free Boundary Problems and Measure Theory, Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany, June 2015
- Higher regularity of the free boundary in the thin obstacle problem, Nicola Garofalo’s 60 birthday meeting, Isaac Newton Institute for Mathematical Sciences, Cambridge, UK, May 2014
- Parabolic Signorini problem, Free Boundary Problems in Biology, Mathematical Biosciences Institute, OSU, November 2011
- Elliptic and parabolic problems with thin and Lipschitz obstacles, Math Finance and PDEs 2011, Rutgers University, November 2011
- Almost monotonicity formulas for elliptic and parabolic operators with variable coefficients, Joint Meeting of KMS & AMS, Seoul, December 2009
- Monotonicity formulas and the singular set in the thin obstacle problem, CAMP/Nonlinear PDEs Seminar, University of Chicago, November 2008
- Nonuniqueness in a free boundary problem from combustion, SIAM PD07, December 2007

###### Conferences Coorganized

- AMS Sectional Meeting #1123, Special Session on New Developments in the Analysis of Nonlocal Operators, University of St. Thomas, Minneapolis, MN, October 28–30, 2016
- 6th Symposium on Analysis and PDEs, Purdue University, Jun 1–4, 2015
- X Americas Conference on Differential Equations and Nonlinear Analysis, Focuss Session Free Boundary Problems, Buenos Aires, Argentina, Feb 16–20, 2015
- SIAM Confenerence on Analysis of PDEs (PD13), Mini-Symposium Free Boundary and Obstacle Problems for Nonlinear and Nonlocal Operators, Lake Buena Vista, FL, Dec 7–10, 2013
- 72nd Midwest PDE Seminar, Purdue University, Nov 16–17, 2013
- 5th Symposium on Analysis and PDEs, Purdue University, May 20–23, 2012
- Free Boundary Problems, Theory and Applications, MSRI, Jan 10–May 20, 2011; Workshop, Mar 7–11, 2011
- 4th Symposium on Analysis and PDEs, Purdue University, May 26–29, 2009
- 3rd Symposium on Analysis and PDEs, Purdue University, May 27–30, 2007
- SIAM Confenerence on Analysis of PDEs (PD06), Mini-Symposium Analysis of Front Propagation and Its Applications, Boston, MA, Jul 10-12, 2006
- Free Boundary Problems 2005: Theory and Applications, Focus Session Obstacle-type Problems, Coimbra, Portugal, Jun 7–12, 2005
- Symposium on Geometry and Regularity of Free Boundaries, KTH, Stockholm, Sweden, Feb 28–Mar 2, 2000