Given the question: Facts: - doctoral students: patrick cattiaux kai kohler - known for: probabilistic proof of atiyah-singer index theorem - caption: jean-michel bismut in 2004 -lrb- photo from mfo -rrb- - fields: mathematics - workplaces: universite paris-sud - doctoral advisor: jacques-louis lions jacques neveu - awards: prix 1990 ampere -lrb- french academy of sciences -rrb- , - birth date: 26 february 1948 - name: jean-michel bismut - nationality: french - image: jean-michel bismut.jpg - birth place: lisbon , portugal - alma mater: ecole polytechnique Based on these bullet points, write a short biography describing the life of jean-michel bismut .
The answer is:
jean-michel bismut -lrb- born 26 february 1948 -rrb- is a french mathematician who has been a professor at the universite paris-sud since 1981 .his early work was related to stochastic differential equations , stochastic control , and malliavin calculus , to which he made fundamental contributions , giving a probabilistic proof of hormander 's theorem .he found a heat equation proof for the atiyah -- singer index theorem .in 1990 he was awarded the prix ampere of the academy of sciences .he was a visiting scholar at the institute for advanced study in the summer of 1984 .he was elected as a member of the french academy of sciences in 1991 .