Maria G. Westdickenberg Formerly Maria G. Reznikoff

Assistant professor
 Email:  maria at math.gatech.edu

 School of Mathematics Phone:  (404) 894.8767

 Georgia Institute of Technology Fax:  (404) 894.4409

686 Cherry St, Atlanta, GA  30332 Office:  Skiles 221

Curriculum Vitae (Updated January, 2008)

Research Areas                                                                                                     

Teaching

Spr 2008:  MATH 4317, Analysis I
Fall 2007:  MATH 1501, Calculus I
Fall 2006:  MATH 2403, Differential Equations
Fall 2005:  Introduction to Ordinary and Partial Differential Equations (APC 350); Princeton University

Professional Sketch
  • 8/06-present
Assistant professor, Georgia Institute of Technology
  • 8/05-7/06

Instructor and NSF Mathematical Sciences Post-doctoral Fellow
Princeton University, Princeton, NJ
  • 8/04-8/05

NSF Mathematical Sciences Postdoctoral Research Fellow
University of Bonn,  Germany
  • May, 2004
PhD with Robert V. Kohn and Eric Vanden-Eijnden,
Courant Institute, New York, NY
  • May, 2000

Master of Science in Applied Mathematics,
Rensselaer Polytechnic Institute, Troy, NY

Publications

Rare events in stochastic partial differential equations on large spatial domains,
Eric Vanden-Eijnden and Maria G. Westdickenberg, J. Stat. Phys. 131 (2008), 1023-1038. [pdf]

A two-scale approach to logarithmic Sobolev inequalities and the hydrodynamic limit,
Natalie Grunewald, Felix Otto, Cédric Villani, and Maria G. Westdickenberg, Ann. Inst. H. Poincaré Probab. Statist., to appear. [ pdf ]

Rare events, action minimization, and sharp interface limits, Maria G. Westdickenberg,  in Singularities in PDE and the Calculus of Variations, Eds. Stanley Alama, Lia Bronsard, and Peter J. Sternberg, CRM Proceedings and Lecture Notes 44 (2008), 217-232. [ pdf ]

Higher multiplicity in the one-dimensional Allen-Cahn action functional, Yoshihiro Tonegawa and Maria G. Westdickenberg, Indiana Univ. Math. J. 56 (2007), 2935-2990. [ pdf ]

Slow motion of gradient flows, Felix Otto and Maria G. Reznikoff, J. Differential Equations 237 (2007), 372-420. [ pdf ]

A new criterion for the logarithmic Sobolev inequality, Felix Otto and Maria G. Reznikoff,
J. Funct. Anal. 243 (2007), 121-157. [ pdf ]

Bounds on vertical heat transport for infinite Prandtl number Rayleigh-Bénard convection,
Felix Otto, Maria G. Reznikoff, and Charles R. Doering, J. Fluid Mech., 560 (2006),
229 - 241. [ pdf ]

A two-scale proof of a logarithmic Sobolev inequality, Natalie Grunewald, Felix Otto,
Maria G. Reznikoff, and Cédric Villani, SFB preprint (2005). [ pdf ]

Action minimization and sharp-interface limits for the stochastic Allen-Cahn equation,
Robert V. Kohn, Felix Otto, Maria G. Reznikoff, and Eric Vanden-Eijnden, Comm. Pure Appl. Math., (2006), available via "early view." To appear as 60 (2007), 393 - 438. [ pdf ]

Sharp-interface limit of the Allen-Cahn action functional in one space dimension,
Robert V. Kohn, Maria G. Reznikoff, and Yoshihiro Tonegawa, Calc. Var. PDE, 25 (2006),
503 - 534. [ pdf ]

Magnetic elements at finite temperature and large deviation theory, Robert V. Kohn,
Maria G. Reznikoff, and Eric Vanden-Eijnden, J. Nonlinear Sci., 15 (2005), 223 - 253. [ pdf ]

Invariant measures of stochastic partial differential equations, Maria G. Reznikoff and
Eric Vanden-Eijnden, C.R. Acad. Sci. Paris, 340 (2005), 305 - 308. [ pdf ]

Rare Events in Finite and Infinite Dimensions, Maria G. Reznikoff, PhD thesis.


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