### Matei Machedon, Professor

University of Maryland

Mathematics Department

Kirwan Hall 3311

Curriculum Vitae

Math genealogy

** Teaching Fall 2023: **

I am teaching Math 411 and Math 630.
Math 411 syllabus
Math 630 syllabus

Math 411 practice problems

** Older notes: **

Math 673/674 notes on distribution theory

** 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). *

* Uniform in N estimates for a Bosonic system of Hartree-Fock-Bogoliubov type
*, (with M. Grillakis). *
Communications in PDE (2019). *

* Counterexamples to L^p collapsing estimates,
* (with X. Du). Illinois Journal of Mathematics, Vol. 65, No. 1 (2021), 191 - 200

* Global estimates for the Hartree-Fock-Bogoliubov equations
* (with J. Chong, M. Grillakis and Z. Zhao). * Communications in PDE (2021). *

* Global uniform in N estimates
for solutions of a system of Hartree-Fock-Bogoliubov type in the case beta<1
* (with J. Chong, X. Dong, M. Grillakis and Z. Zhao).

*
Correction to "Space-time estimates for null forms and the local existence theorem"
*, (with S. Klainerman). * Communications on Pure and Applied Math (1993). *

** Slides and Posters: **

* A poster from the
Dispersive PDE Program, MSRI, June 2014 *, by
X. Wan, K. Widmayer, S. Xu, K. Yamazaki, K. Yang, Z. Zhao, C. Zhou. Advisors : N. Pavlovic and N. Tzirakis.
*
*

Uniform in N estimates for a Bosonic system of Hartree-Fock-Bogoliubov type
(slides from a 2019 talk)