Sulem is the winner of the fourth
Krieger–Nelson Prize, for "important breakthroughs in understanding of many nonlinear phenomena associated with the focusing nonlinear
Schrödinger equation and the water wave problem". She is also a
fellow of the
American Mathematical Society. In 2015, she was elected a
Fellow of the Royal Society of Canada. In 2018 the
Canadian Mathematical Society listed her in their inaugural class of fellows. In 2019 she gave the AWM-SIAM Sonia Kovalevsky Lecture, entitled
The Dynamics of Ocean Waves, at the 7th
ICIAM in Valencia. This lecture is awarded jointly by
Association of Women in Mathematics and
SIAM. In 2020, Sulem was awarded the
CRM-Fields-PIMS Prize, the premier Canadian research prize in the mathematical sciences. She was elected to the 2023 Class of
SIAM Fellows. In 2024, Sulem was also awarded the Jeffery-Williams Prize by the Canadian Mathematical Society for her significant contributions to research in nonlinear partial differential equations and fluid dynamics . ==Selected publications==