▁Chair ▁holder ▁in ▁ 2 0 1 3 . ▁Since ▁ 2 0 1 6 , ▁he ▁is ▁a ▁cha ired ▁professor ▁at ▁E TH ▁Zürich . ▁ ▁Among st ▁his ▁several ▁recogn itions , ▁Fig al li ▁has ▁won ▁an ▁E MS ▁Prize ▁in ▁ 2 0 1 2 , ▁he ▁has ▁been ▁awarded ▁the ▁Pe cc ot - V im ont ▁Prize ▁ 2 0 1 1 ▁and ▁C ours ▁Pe cc ot ▁ 2 0 1 2 ▁of ▁the ▁Coll ège ▁de ▁France ▁and ▁has ▁been ▁appointed ▁Nach di plom ▁L ect urer ▁in ▁ 2 0 1 4 ▁at ▁E TH ▁Zürich . ▁He ▁has ▁won ▁the ▁ 2 0 1 5 ▁edition ▁of ▁the ▁St amp ac chia ▁Medal , ▁and ▁the ▁ 2 0 1 7 ▁edition ▁of ▁the ▁Fel tr in elli ▁Prize ▁for ▁mathematics . ▁ ▁In ▁ 2 0 1 8 ▁he ▁won ▁the ▁Field s ▁Medal ▁" for ▁his ▁contributions ▁to ▁the ▁theory ▁of ▁optimal ▁transport , ▁and ▁its ▁application ▁to ▁partial ▁differential ▁equations , ▁metric ▁geometry , ▁and ▁probability ". ▁ ▁Work ▁Fig al li ▁has ▁worked ▁in ▁the ▁theory ▁of ▁optimal ▁transport , ▁with ▁particular ▁emphas is ▁on ▁the ▁regular ity ▁theory ▁of ▁optimal ▁transport ▁maps ▁and ▁its ▁connections ▁to ▁Mon ge – A mp ère ▁equations . ▁Among st ▁the ▁results ▁he ▁obtained ▁in ▁this ▁direction , ▁there ▁stand ▁out ▁an ▁important ▁higher ▁integra b ility ▁property ▁of ▁the ▁second ▁derivatives ▁of ▁solutions ▁to ▁the ▁Mon ge – A mp