Please answer the following question: Read the bio below and try to give details on john mather -lrb- mathematician -rrb- 's: - residence - doctoral students - prizes - known for - field - doctoral advisor - work institution - birth date - name - nationality - image - birth place - alma mater Bio: '' for other people with a similar name , see john mather . '' john norman mather -lrb- born june 9 , 1942 in los angeles , california -rrb- is a mathematician at princeton university known for his work on singularity theory and hamiltonian dynamics . he is descended from atherton mather -lrb- 1663-1734 -rrb- , a cousin of cotton mather . his early work dealt with the stability of smooth mappings between smooth manifolds of dimensions n -lrb- for the source manifold n -rrb- and p -lrb- for the target manifold p -rrb- . he determined the precise dimensions -lrb- n , p -rrb- for which smooth mappings are stable with respect to smooth equivalence by diffeomorphisms of the source and target -lrb- i.e. infinitely differentiable coordinate changes -rrb- . he also proved the conjecture of the french topologist rene thom that under topological equivalence smooth mappings are generically stable : the subset of the space of smooth mappings between two smooth manifolds consisting of the topologically stable mappings is a dense subset in the smooth whitney topology . his notes on the topic of topological stability are still a standard reference on the topic of topologically stratified spaces . he is one of the three editors of the princeton math series in annals of mathematics studies . he is a member of the national academy of sciences since 1988 . he received the john j. carty award of the national academy of sciences in 1978 -lrb- for pure mathematics -rrb- and the george david birkhoff prize in applied mathematics in 2003 . he also received the brazilian order of scientific merit in 2000 and in 2014 the brouwer medal from the royal dutch mathematical society .
Answer:
- residence is united states- doctoral students is giovanni forni- prizes is john -lrb- 1978 -rrb- national order of scientific merit -lrb- brazil j. -rrb- -lrb- 2000 -rrb- george david birkhoff prize -lrb- 2003 carty -rrb- award for the advancement of science- known for is smooth functions topologically stratified space- field is mathematics- doctoral advisor is john milnor- work institution is ihes harvard university princeton university- birth date is 09 june 1942- name is john norman mather- nationality is 25pxamerican- image is john n mather.jpg- birth place is los angeles , california- alma mater is harvard university princeton university