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The American Mathematical Society recognition supports mid-career female researchers whose achievements demonstrate potential for further contributions to mathematics

Katherine Stange, a professor in the ��«����Ƶ Department of Mathematics, has been named the 2025-26 American Mathematical Society (AMS) Joan and Joseph Birman Fellow.

The  is a mid-career research fellowship that aims “to address the paucity of women at the highest levels of research in mathematics by giving exceptionally talented women extra research support during their mid-career years,” according to the AMS. Fellows are those “whose achievements demonstrate significant potential for further contributions to mathematics.”

Katherine Stange, a CU ��«����Ƶ professor of mathematics, has been named the 2025-26 American Mathematical Society (AMS) Joan and Joseph Birman Fellow.

“I am both honored and humbled by this award,” Stange says. “As my career has unfolded, I've learned the incredible value of community in mathematics, and I feel a great debt of gratitude to my amazing collaborators and the support of my mathematical community.

“Joan and Joseph Birman's vision, to support the careers of women reconciling the many aspects of work and life, goes beyond these individual awards; and so, I hope to support those around me, just as I have been privileged by the support of so many.”

Fellows can use the $50,000 award in any way that most effectively enables their research, including child care, release time, participation in special research programs and travel support.

Stange, a number theorist, earned her bachelor of mathematics degree at the University of Waterloo and her PhD at Brown University under the mentorship of Joseph H. Silverman. She held postdoctoral positions at Harvard University, Stanford University and the Pacific Institute for Mathematical Sciences at Simon Fraser University and is a fellow of the Association for Women in Mathematics.

Describing her research, Stange says, “I enjoy simple-seeming questions that lead to a richness of structure; and arithmetic questions with geometric and especially visual access points.”

Her areas of interest include elliptic curves, Apollonian circle packings, Kleinian groups, algebraic divisibility sequences, Diophantine approximation, continued fractions, quaternion algebras and quadratic and Hermitian forms. Stange is especially interested in cryptography, including elliptic-curve and isogeny-based cryptography, as well as quantum algorithms, “in part for the surprising way mathematical structures can have an outsize influence on human affairs,” she notes. “I enjoy problems that involve experimental, algorithmic and especially visual mathematics, using a computer and other tools.

“There’s a great deal of hidden beauty in number theoretical problems waiting to be illustrated.”

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