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)