University of Maryland

Mathematics Department

Kirwan Hall 1106

Curriculum Vitae

Math 411 Fall 16 syllabus

Math 411 practice problems

Math 411 notes

Math 341 syllabus

** Recent Preprints (older papers are listed on my CV): **

*
On the uniqueness of solutions to the Gross-Pitaevskii hierarchy.
*, (with S. Klainerman),
Communications in Mathematical Physics, (2008).
The final publication is available at http://link.springer.com

* **
Second order corrections to weakly interacting bosons, I.
*, (with M. Grillakis and D. Margetis)
Communications in Mathematical Physics, (2010).
The final publication is available at http://link.springer.com.

* **
Second order corrections to weakly interacting bosons, II.
*, (with M. Grillakis and D. Margetis)
Advances in Mathematics, (2011).

*
Pair excitations and the mean field approximation of interacting bosons, I.
*, (with M. Grillakis).
Communications in Mathematical Physics (2013).
The final publication is available at http://link.springer.com

* **
Beyond mean field: on the role of pair excitations in the evolution of condensates,
*, (with M. Grillakis). Invited paper for a festschrift
dedicated to Yvonne Choquet-Bruhat,
*
Journal of Fixed Point Theory and Applications (2013). *

*
Pair excitations and the mean field approximation of interacting Bosons, II
*, (with M. Grillakis). * Communications in PDE (2017). *

On the pair excitation function.