Yann Bernard
School of Mathematical Sciences
Monash University
Room 421
9 Rainforest Walk
3800 Victoria
Australia
(+61) (0)39 905 4462
yann.bernard "at" monash.edu

Curriculum Vitae

Work:

• Ends of immersed minimal and Willmore surfaces in asymptotically flat spaces, to appear (2015), Joint work with Tristan Rivière.


• Noether's theorem and the Willmore functional, Adv. Calc. Var. to appear (2015).


• Spherocytosis and the Helfrich functional, to appear (2015). Joint-work with Glen Wheeler and Valentina-Mira Wheeler.


• Concentration-compactness and finite-time singularities for the Chen flow, in preparation (2014). Joint-work with Glen Wheeler and Valentina-Mira Wheeler.


• On Chen's conjecture, in preparation (2015). Joint-work with Glen Wheeler.


• Autour des surfaces de Willmore, Images des Mathématiques (2014).


• Analysis of constrained Willmore surfaces, Comm. PDE to appear (2015).


• Energy quantization for the Willmore functional and applications, Annals of Math. 180, no. 1 (2014), 87-136. Joint-work with Tristan Rivière.


• Singularity removability at branch points for Willmore surfaces, Pacific J. Math. 265, no. 2 (2013), 257-311. Joint-work with Tristan Rivière.


• On the structure of minimizers of causal variational principles in the non-compact and equivariant settings, Adv. Calc. Var. 7, no. 1 (2014), 27-57. Joint-work with Felix Finster.


• Local Palais-Smale sequences for the Willmore functional, Comm. Anal. Geom. 19, no. 3 (2011), 563-599. Joint-work with Tristan Rivière.


• Diffusive limits for the Knudsen gas in thin channels with accommodation on the boundary, Asympt. Anal. 64 (2009), 100-123.


• Non-existence of black-hole solutions of the electroweak Einstein-Dirac-Maxwell-Yang/Mills equations , Class. Quant. Gravity 23 (2006), 4433-4451.