ical ▁limits ▁of ▁the ▁Sch r öd inger ▁equation ▁with ▁very ▁rough ▁potential s , ▁and ▁to ▁study ▁the ▁L agr ang ian ▁structure ▁of ▁weak ▁solutions ▁to ▁the ▁V las ov – Po isson ▁equation . ▁More ▁recently , ▁in ▁collaboration ▁with ▁Alice ▁Gu ion net , ▁he ▁introduced ▁and ▁developed ▁new ▁transport ation ▁techniques ▁in ▁the ▁topic ▁of ▁random ▁matrices ▁to ▁prove ▁univers ality ▁results ▁in ▁several - matrix ▁models . ▁Also , ▁together ▁with ▁Jo aqu im ▁Ser ra , ▁he ▁proved ▁the ▁De ▁Giorg i ' s ▁conject ure ▁for ▁boundary ▁reaction ▁terms ▁in ▁dimension ▁ ≤ ▁ 5 , ▁and ▁he ▁improved ▁the ▁classical ▁results ▁by ▁Luis ▁C aff arel li ▁on ▁the ▁structure ▁of ▁singular ▁points ▁in ▁the ▁obst acle ▁problem . ▁ ▁References ▁ ▁External ▁links ▁Website ▁at ▁E TH ▁Zur ich ▁ ▁Category : 1 9 8 4 ▁birth s ▁Category : Fields ▁Medal ists ▁Category : L iving ▁people ▁Category : Ital ian ▁mathemat icians ▁Category : 2 1 st - century ▁Italian ▁mathemat icians ▁Category : Math emat ical ▁anal yst s ▁Category : ET H ▁Zur ich ▁fac ulty ▁Category : Vari ational ▁anal yst s ▁Category : Europe an ▁Research ▁Council ▁gran te es ▁Category : Pe ople ▁from ▁Rome ▁Category : Univers ity ▁of ▁P isa ▁al umn i ▁Category : Sc uola ▁Norm ale ▁Super iore ▁di ▁P isa ▁al umn i ▁Category : É cole ▁Norm ale ▁Sup érieure ▁al umn i <0x0A> </s> ▁Jan an ▁Gan esh