Monash mathematician named Fellow of the American Mathematical Society
Monash University's Professor Jessica Purcell has been elected a 2026 Fellow of the American Mathematical Society (AMS), becoming the only Australia-based researcher in this year’s prestigious global cohort.
Professor Jessica Purcell
Monash University’s Professor Jessica Purcell has been elected a 2026 Fellow of the American Mathematical Society (AMS), becoming the only Australia-based researcher in this year’s prestigious global cohort.
The AMS Fellowship recognises outstanding contributions to the advancement of mathematics. Fellows are selected from among the world's leading mathematicians, with this year’s honourees representing institutions across the United States, Canada, the United Kingdom, Hong Kong, Japan, and New Zealand.
Professor Purcell, a specialist in geometry and topology in the Monash School of Mathematics, is internationally renowned for her research on the geometry and topology of three-dimensional spaces, particularly hyperbolic 3-manifolds and knot theory.
Her work explores how geometric structures can be used to understand topological spaces, with implications for both pure mathematics and theoretical physics. She has made significant contributions to the understanding of geometric structures on knot complements and their interactions with quantum invariants.
Her election to the AMS Fellowship comes after she was named a Fellow of the Australian Academy of Science, marking her as one of the very few mathematicians in Australia to be honoured by both national and international academies.
“To be recognised alongside some of the world’s leading mathematicians is incredibly humbling,” Professor Purcell said.
“This award reflects not only my own work but the strength and growing global impact of mathematics research in Australia,” she said.
“I’m proud to be part of a vibrant research community that’s increasingly contributing to international discovery.”
The AMS, founded in 1888, is one of the most influential mathematical societies in the world. Its Fellowship program acknowledges researchers who have made exceptional contributions to the creation, exposition, and advancement of mathematics. This year’s list includes researchers from leading institutions such as Princeton, Oxford, Cornell, and the University of Tokyo.
Professor Purcell’s research has contributed to major advances in understanding low-dimensional manifolds and knot theory. She is also a leader in fostering international collaboration and mentoring the next generation of mathematical scientists.
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