### Matei Machedon, Professor

University of Maryland

Mathematics Department

Mathematics Building 3311

Curriculum Vitae

** Teaching: **

Spring 2014:

Math246

AMSC/MATH 674

Applied PDE RIT

Expository notes on distribution theory, Math 673

** Recent Preprints: **

*
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 Mme. Yvonne Choquet-Bruhat,
Journal of Fixed Point Theory and Applications (2014).

** Recent Slides: **

* **
RIT notes on the Littlewood-Paley decomposition.
*
*
*

Pair excitations and the mean field approximation of interacting bosons.