In 2004, Georgi graduated from the Paris National Superior Conservatory, having studied under Philippe Muller. In September 2007, he continued his studies there in the postgraduate course under Jérôme Pernoo.
Georgi has won several international competition prizes, including Second Prize at the Andrée Navarra International Cello Competition 2008 in France, Second Prize at the Lutoslawski International Cello Competition 2009 in Poland, Fourth Prize at the Isang Yun International Cello Competition 2009 in South Korea, First Prize at the Unisa International Strings Competition 2010 in South Africa, and Second Prize at the Carlos Prieto International Cello Competition in Mexico. He has also received several scholarships.
Georgi regularly plays together with Russian pianist Anastasya Terenkova, with whom he gave 10 concerts on his first South African tour in February 2011. Georgi is the Principal Cello of the Orquesta de la Comunitat Valenciana (Spain), and, since September 2014, he has been Principal Cello in the Frankfurt Radio Symphony Orchestra.