
Dorian GoldmanDepartment of Pure Mathematics and Mathematical StatisticsUniversity of Cambridge
OfficeE014 Pavillion EPostal AddressDepartment of Pure Mathematics and Mathematical Statistics,Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge, CB3 0WB 
Fall 2012  Calculus 1 Teaching Evaluation Fall 2011  Calculus 1 Teaching Evaluation Asymptotics of nonminimizing critical points of the OhtaKawasaki energy. (Preprint) An optimal a priori bound for Burgers' equation, with Felix Otto. (In preparation) On the regularity of stationary points of a nonlocal isoperimetric problem, with Alexander Volkmann. (Submitted to Interfaces and Free Boundaries) The Gammalimit of the two dimensional OhtaKawasaki energy. II. Derivation of the Renormalized energy, with Sylvia Serfaty and Cyrill Muratov. Arch. Ration. Mech. Anal., 212:445–501, 2014 Uniqueness results for critical points of a nonlocal isoperimetric problem via curve shortening. (Submitted to Calc. Vars. & PDE) The Gammalimit of the twodimensional OhtaKawasaki energy. I. Droplet density, with Sylvia Serfaty and Cyrill Muratov. Arch. Ration. Mech. Anal., 210:581–613, 2013. Chaotic response of the 2D semigeostrophic and 3D quasigeostrophic equations to gentle periodic forcing, with Robert McCann. Nonlinearity 21 (2008) 14551470 doi 10.1088/09517715/21/7/005. Weak lagrangian solutions to a one dimensional model of the moist semigeostrophic equations. Masters Thesis (2008), University of Toronto.
Or click here for a 2 page thesis summary with future directions. The Gamma limit of the OhtaKawasaki energy. Droplet density and the Renormalized energy (Slides) Online video recorded version of my presentation at CMU November 6th, 2012 Fall Speaking Schedule 2013 SIAM Conference on Mathematical Aspects of Materials Science (June 12, Philadelphia) (Minisimposium: Geoemtric Variational Problems with Longrange Interactions) Cambridge University (November 23, 2012) Max Planck Institute Golm (Berlin) (November 19, 2012) Oxford (November 16, 2012) ETH Zurich (November 13, 2012) Carnegie Mellon (November 6, 2012) MIT (October 16, 2012) Columbia (October 4, 2012) Courant Institute (NYU) (October 4, 2012) Meeting on applied mathematics and the Calc. of Var. Rome, Italy (September 5, 2012) Max Planck Institute Golm (April 16, 2012) University of Toronto (January 5,2012) International conference on optimal transportation with applications to geophysics and geometry (Edinburgh, Scotland) 