Brendan Pass

Department of Mathematical and Statistical Sciences, University of Alberta
Email: pass@@ualberta.ca
Phone: 780-492-3974
Office: CAB 571

Welcome to my homepage. I am currently a Max Wyman Assistant Professor in the Department of Mathematical and Statistical Sciences at the University of Alberta. My primary research interests lie in optimal transportation; I am also interested in mathematical economics and mathematical physics.

Teaching

Winter, 2013: Math 337

Publications and Preprints

  1. Rectifiability of optimal transportation plans, with Robert McCann and Micah Warren. Canad. J. Math. 64 (2012) 924-933.
  2. On the local structure of optimal measures in the multi-marginal optimal transportation problem. Calc. Var. and PDE. 43 (2012) 529-536. Currently available online at www.springerlink.com.
  3. Uniqueness and Monge solutions in the multi-marginal optimal transportation problem. SIAM J. Math. Anal. 43 (2011) 2758-2775.
  4. Regularity of optimal transportation between spaces with different dimensions. Math. Res. Lett. 19 (2012) 291-307.
  5. The multi-marginal optimal transportation problem. Oberwolfach Reports, 31 (2010) 1843-1845.
  6. Structural results on optimal transportation plans. PhD Thesis at the University of Toronto. My advisor was Robert McCann.
  7. Convexity and multi-dimensional screening for spaces with different dimensions. J. Econom. Theory. 147 (2012) 2399-2418.
  8. Regularity properties of optimal transportation problems arising in hedonic pricing models. To appear in ESAIM: Control, Optim. Calc. Var.
  9. Optimal transportation with infinitely many marginals. J. Funct. Anal. 264 (2013) 947–963.
  10. On a class of optimal transportation problems with infinitely many marginals.
  11. Multi-marginal optimal transport and multi-agent matching problems: uniqueness and structure of solutions.
  12. Remarks on the semi-classical Hohenberg-Kohn functional.
  13. Decoupling of DeGiorgi-type systems via multi-marginal optimal transport, with Nassif Ghoussoub.
  14. Multi-marginal optimal transport on Riemannian manifolds, with Young-Heon Kim.
  15. N-density representability and the optimal transport limit of the Hohenberg-Kohn functional, with Gero Friesecke, Christian B. Mendl, Codina Cotar and Claudia Klüppelberg.