 He received in 2004 and 2009 the Prize of the Academy of Sciences of the Czech Republic, in 2015 the Neuron Award, and in 2017 the gold medal of Charles University, as well as the Bernard Bolzano Honorary Medal from the Czech Academy of Sciences.In 2012, he chaired the scientific committee of the European Congress of Mathematicians in Krakow.He was an invited speaker in 2002 at the International Congress of Mathematicians in Beijing.