My work is in Algebraic Geometry. My focus is on singularities and the effect they have on the local and global geometry of varieties. Among my interests are topics connected with higher-dimensional birational geometry (singularities of pairs, multiplier ideals), topology (Milnor fibrations, local systems), number theory (Igusa local zeta functions), representation theory (D-modules), combinatorics (hyperplane and subspace arrangements), commutative algebra (test ideals), differential geometry (geometric stability), and physics (string theory). My work has been sponsored by BOF-OT KU Leuven, NSF, NSA, Simons Foundation, and the H.J. Kenna endowment.

- To speak at the Algebraic Geometry and Number Theory Seminar, Johns Hopkins University, Baltimore, April 10, 2014.
- To speak at the Oberseminar Algebraische und Arithmetische Geometrie, Leibniz Universität Hannover, May 8, 2014.
- To speak the Algebraic Geometry Seminar, Freie Universität, Berlin, May 12, 2014.
- To speak at the Kobe-Leuven workshop on Geometry and Integrable Systems, KU Leuven, July 7-9, 2014.
- To speak at the Thematic month on Singularities, CIRM Luminy, Feb - Mar 2015.
- To speak at the Conference "Differential and combinatorial aspects of singularities", University of Kaiserslautern, Aug 3-7, 2015.

- Presented an Inaugural Talk in the Mathematics Department, KU Leuven, March 2014.
- Presented a talk at the Hodge Theory Seminar, KU Leuven, February 2014.
- Presented a talk at the Join Mathematics Meeting AMS-MAA, special session on "Hyperplane Arrangements and Applications", Baltimore, January 15-16, 2014.
- Presented a talk at the 5th Belgian-Dutch Algebraic Geometry day, November 22, Nijmegen.
- Gave a
*short course on "Bernstein-Sato polynomials and generalizations"*at the Summer School on Algebra, Algorithms, and Algebraic Analysis, Rolduc Abbey, Netherlands, organized by V. Levandovskyy and E. Zerz, September 2-6, 2013. - Presented a talk at the workshop "Mixed Hodge Modules", Clay Institute, Oxford, England, August 19-23, 2013.
- Presented a talk at the conference "Experimental and theoretical methods in algebra, geometry, and topology" in honor of the 60th birthdays of A. Dimca and S. Papadima, Eforie Nord, Romania, June 21-24, 2013.
- Co-organized with F. Loeser (UPMC) and M. Mustata (Michigan) a thematic program on Motivic Invariants and Singularities during May 20- June 7, 2013 at the Center of Mathematics at Notre Dame. Photo.
- Presented a talk at the AMS Spring Western Sectional Meeting, special session on "Singular spaces in Geometry, Topology and Algebra", Boulder, Colorado, April 13-14, 2013.
- Presented a talk at the Algebra Seminar, RWTH Aachen University, Germany, Jan 11, 2013.
- Presented a talk at the Mathematisches Kolloquium at the Ruprecht-Karls-Universität Heidelberg, Germany, Jan 10, 2013.
- Presented a talk at the Algebraic Geometry Seminar, Gutenberg Universität, Mainz, Germany, Jan 9, 2013.

*Bernstein-Sato polynomials and generalizations*. Rolduc Abbey, Sept. 2013. Slides:*Lecture 1*,*Lecture 2, Lecture 3.**Applications of mixed Hodge modules: multiplier ideals.*From the workshop "Mixed Hodge Modules and their Applications", 19-23 Aug. 2013, Clay Mathematics Institute, Oxford.*Multiplier ideals, Milnor fibers, and other singularity invariants*. Luminy, Jan. 2011.

- Dr. Botong Wang (Postdoc at Notre Dame, 2012-2015).
- Dr. Youngho Yoon (PhD 2013, Notre Dame; currently postdoc fellow at IBS Center for Geometry and Physics, Pohang, Korea).
- Elif Altinay (MSc 2013).
- Luis Saumell (PhD student, Notre Dame, graduation 2017 expected).
- Jonas Kaerts (Master student 2013, KU Leuven).

I am a private pilot and support AOPA.