Rubén Medina and Andrés Quilis
Proc. Amer. Math. Soc. 152 (), 5137-5148.
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Simão Correia
Proc. Amer. Math. Soc. 152 (), 5117-5136.
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Benjamin Jaye and Manasa N. Vempati
Proc. Amer. Math. Soc. 152 (), 5105-5116.
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Jan Draisma and Thomas Karam
Proc. Amer. Math. Soc. 152 (), 5083-5093.
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YoungJu Choie, Winfried Kohnen and Yichao Zhang
Proc. Amer. Math. Soc. 152 (), 5025-5037.
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Anton Freund, Fedor Pakhomov and Giovanni Soldà
Proc. Amer. Math. Soc. 152 (), 4993-5005.
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N. Kuznetsov
St. Petersburg Math. J. 35 (), 467-472.
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R. Gibara and D. Kinzebulatov
St. Petersburg Math. J. 35 (), 445-460.
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Zhanqiang Bai, Jia-Jun Ma, Wei Xiao and Xun Xie
Represent. Theory 28 (), 498-513.
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Roland Donninger
Bull. Amer. Math. Soc. 61 (), 659-685.
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Alin Bostan, Xavier Caruso and Julien Roques
Bull. Amer. Math. Soc. 61 (), 609-658.
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Ana Caraiani, Royal Society University Research Fellow and professor of pure mathematics, Imperial College London, has been awarded the 2025 Ruth Lyttle Satter Prize in Mathematics by the American Mathematical Society (AMS). She has been honored for contributions to arithmetic geometry and number theory: in particular, the Langlands program.

From the citation

Ana Caraiani’s work is characterized by a combination of novel ideas and a fearlessness in the face of technical obstacles that would daunt almost any other researcher. This has enabled her to prove several fundamental theorems in the Langlands program.

In the joint paper with Scholze, titled “On the generic part of the cohomology of non-compact unitary Shimura varieties” (Annals of Math., 2024), Caraiani proved very general results about the torsion cohomology classes in non-compact Shimura varieties, strengthening the early results in their 2017 paper in the compact case. The proof is a tour de force, combining perfectoid spaces, a mastery of the trace formula, and a new theory of perverse sheaves in p-adic geometry. These results are of intrinsic interest (for example, they give the first indications of a characteristic p version of Arthur’s conjectures), but they also have many applications throughout the Langlands program. One spectacular application of these results is in her joint paper, “Potential automorphy over CM fields” (with Allen, Calegari, Gee, Helm, Le Hung, Newton, Scholze, Taylor, and Thorne, Annals of Math., 2023), which among other results proves the Ramanujan conjecture for Bianchi modular forms, a problem that had been thought of as being completely out of reach.

The Ramanujan conjecture is of analytic nature, asserting a bound on the eigenvalue of a certain differential operator, but the only way in which cases of it have been proved is via algebraic geometry. In particular, the original Ramanujan conjecture for modular forms was proved by Deligne in the 1970s, as a consequence of his proof of the Weil conjectures. However, in the case of Bianchi modular forms there is no direct relationship with algebraic geometry, and it seems to be impossible to make any direct deductions from the Weil conjectures. Langlands (also in the 1970s) suggested a strategy for proving the Ramanujan conjecture as a consequence of his functoriality conjecture. Caraiani and her coauthors’ proof of the Ramanujan conjecture for Bianchi modular forms proceeds via a variant of Langlands’ strategy, and in particular does not use the Weil conjectures.

Most recently with James Newton, in the paper “On the modularity of elliptic curves over imaginary quadratic fields” (arXiv: 2301.10509), Caraiani has improved upon these results and applied them to the modularity of elliptic curves over imaginary quadratic fields. They come close to completely solving it, with only a small number of exceptions (which constitute 0% of cases).

Response of Ana Caraiani

First, I would like to thank Joan Birman and the AMS for establishing an award that recognizes research contributions by women mathematicians. This is particularly meaningful to me because I looked to many of the previous recipients of the Satter Prize for inspiration at challenging moments in my career. It is a great honour to be selected as a recipient!

I am indebted to my many collaborators, mentors and colleagues who have generously shared their mathematical ideas with me over the years and supported me in different but crucial ways. Special thanks go to Peter Scholze for the wonderful opportunity to collaborate with him on understanding a part of the geometry and cohomology of Shimura varieties, to Richard Taylor for initiating the "ten author" collaboration, which was much more successful than we had originally expected, and to James Newton for our joyful exploration of elliptic curves over imaginary quadratic fields. I also particularly want to acknowledge Jessica Fintzen and Toby Gee for their longstanding friendship and moral support.

Finally, I want to thank my family, especially my husband, Steven, my mother, Zoe, and my daughter, Nadia.

Biographical sketch of Ana Caraiani

Ana Caraiani was born in Bucharest, Romania, in 1984. She received a bachelor's degree in mathematics from Princeton University in 2007 and completed her PhD at Harvard University in 2012. After temporary positions at the University of Chicago, Princeton and the Institute for Advanced Study (IAS), and the University of Bonn, she moved to Imperial College London in 2017, where she is currently a Royal Society University Research Fellow and Professor of Pure Mathematics. She is a Fellow of the AMS, a recipient of an EMS Prize and a New Horizons Prize in Mathematics and was an invited speaker at the 2022 ICM. 

About the prize

Awarded every two years, the Ruth Lyttle Satter Prize in Mathematics recognizes an outstanding contribution to mathematics research by a woman in the previous six years. The prize was established by Joan Birman in honor of her sister, Ruth. The 2025 prize will be recognized during the 2025 Joint Mathematics Meetings in January in Seattle.

Read more and see the list of past recipients.

Contact: AMS Communications

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The American Mathematical Society is dedicated to advancing research and connecting the diverse global mathematical community through our publications, meetings and conferences, MathSciNet, professional services, advocacy, and awareness programs.

Forty-six mathematical scientists have been named recipients of AMS-Simons Research Enhancement Grants for Primarily Undergraduate Institution (PUI) Faculty. Each awardee will receive $3,000 per year for three years. 

The grants foster and support research collaboration by full-time mid-career mathematicians at US institutions that do not offer a mathematics doctoral degree.

This year’s grant recipients hail from 42 institutions across 21 US states. The grants will support their research in several different areas, from number theory to applied mathematics.

This is the grant program’s second cohort, said Sarah Bryant, associate vice president of programs. “Over the first two years, we’ve worked with faculty from 75 different institutions, including 19 minority-serving institutions, which shows just how much this program is expanding and making an impact,” Bryant said. She noted that “in the first year, the grants supported 87 trips, helped produce 70 publications and preprints, and gave awardees the resources needed to collaborate and advance their work.”

The grant allows for any activities that will further the awardee’s research program. Expenses include but are not limited to conference participation, institute visits, collaboration travel (awardee or collaborator), computer equipment or software, family-care expenses, and teaching assistants.

Administration of the award by the grantee’s institution is required; annual discretionary funds for a grantee’s department and administrative funds for a grantee's institution will be available at the end of each grant year.

The grants are made possible through funding from the Simons Foundation and the American Mathematical Society (AMS), as well as Eve, Kirsten, Lenore, and Ada of the Menger family.

Applications for the next cohort are anticipated to open on MathPrograms.org on January 9, 2025. Visit the AMS website to view an informational PowerPoint or sign up to receive email updates about the program. Faculty who applied for but did not receive the 2023 or 2024 awards are encouraged to reapply if they are still eligible for the grant. 

Matthew Kennedy, University of Waterloo, has been awarded the 2025 Ciprian Foias Prize in Operator Theory by the American Mathematical Society (AMS). Kennedy has been honored for his wide-ranging and innovative work on group C*-algebras, according to the citation.

From the citation

The 2025 Ciprian Foias Prize in Operator Theory is awarded to Matthew Kennedy for his wide-ranging and innovative work on group C*-algebras, which combines ideas from operator theory, topological dynamics and group theory, and has led to the solution of several open problems, in particular to characterizations of C*-simple groups and groups with the unique trace property. His paper “An intrinsic characterization of C*-simplicity,” on which the award is based, is the culmination of earlier work in collaboration with Kalantar, Breuillard, and Ozawa. The methods introduced in this work, namely an operator-algebraic theory of boundaries, have subsequently found applications in the study of more general classes of C*-algebras and to dynamical systems.

Response of Matthew Kennedy

I am deeply honored to receive the 2025 Ciprian Foias Prize in Operator Theory. I am thankful to all of my collaborators, and especially to my good friend Mehrdad Kalantar. The genesis of the theory of operator-algebraic boundaries is in my first paper with Mehrdad and, despite our excitement at the time, neither of us had any idea how far these ideas would take us. I am also thankful to my colleagues for their continuous encouragement, and in particular to Narutaka Ozawa for his insight and generosity. My work rests on the foundations built by many other mathematicians, and I want to acknowledge the visionary work of Furstenberg and Hamana, which has been so important to my career. Finally, I am grateful to my advisor, Ken Davidson, for his guidance over the years, and to my family and friends for their love and support. 

Biographical sketch of Matthew Kennedy

Matthew Kennedy studied at the University of Waterloo, where he obtained his PhD in 2011 under Ken Davidson. His thesis on free semigroup algebras earned the 2012 Doctoral Prize from the Canadian Mathematical Society. In 2011, he joined Carleton University as an assistant professor, and in 2015, he returned to the University of Waterloo, where he is now a full professor and university research chair. In 2020, he received the Israel Halperin Prize for outstanding work in operator algebras.

About the prize

The Ciprian Foias Prize in Operator Theory is awarded for notable work in operator theory published in a recognized, peer-reviewed venue during the preceding six years. The prize, awarded every three years, was established in 2020 in memory of Ciprian Foias (1933-2020) by colleagues and friends. He was an influential scholar in operator theory and fluid mechanics, a generous mentor, and an enthusiastic advocate of the mathematical community.

The 2025 prize will be presented at the 2025 Joint Mathematics Meetings in Seattle.

Learn more about the prize.

Contact: AMS Communications

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The American Mathematical Society is dedicated to advancing research and connecting the diverse global mathematical community through our publications, meetings and conferences, MathSciNet, professional services, advocacy, and awareness programs.

Math educator Joan Ferrini-Mundy was one of eight new members named to the National Science Board, announced by President Biden on October 15.

Ferrini-Mundy is the 21st president of the University of Maine and its regional campus, the University of Maine at Machias. She is also Vice Chancellor for Research and Innovation for the University of Maine System. Prior to her presidency, Ferrini-Mundy was the chief operating officer of the National Science Foundation (NSF), which followed six years leading NSF’s Directorate for Education and Human Resources.

An active leader in the math community, Ferrini-Mundy is immediate past chair of the Conference Board of the Mathematical Sciences (CBMS) and a member of the Transforming Post-Secondary Education in Mathematics (TPSE) board.

The National Science Board was established via 1950 legislation that created the National Science Foundation. The Board, together with the NSF Director, helps determine the NSF’s strategic direction. It also serves as an independent body of advisors to both the President and the Congress on policy matters related to science and engineering, including education in science and engineering. The Board consists of 25 members, appointed by the President. Members serve six-year terms and one-third are appointed every two years.

Contact: AMS Communications

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The American Mathematical Society is dedicated to advancing research and connecting the diverse global mathematical community through our publications, meetings and conferences, MathSciNet, professional services, advocacy, and awareness programs.

The Math Community Educational Outreach (Math CEO) program at the University of California, Irvine (UCI) will receive the 2025 AMS Award for an Exemplary Program or Achievement in a Mathematics Department.

Founded in 2014, UCI’s Math CEO is an after-school math enrichment program aimed at increasing the number of talented students in STEM from diverse backgrounds by fostering mathematical exploration, mentor development, and community engagement.

From the citation

The University of California, Irvine (UCI) Math CEO program is recognized for its exceptional contributions to the mathematics community and society at large. Established in 2014 by professors Alessandra Pantano and Li-Sheng Tseng, Math CEO targets students from Title I middle schools, providing them with a high-quality after-school math enrichment program. This program brings middle-school students to the UCI campus to work in small groups with undergraduate mentors, many of whom are also from historically marginalized groups, to engage in challenging mathematical tasks and encourage exploration. 

From September 2019 to June 2024, Math CEO engaged a total of 1,221 youth, with 48.6% identifying as female. The ethnic background of the participants was predominantly Latinx (93.5%), with smaller representations of Asian, white, and multiethnic students. In the same five-year period, Math CEO engaged 553 undergraduate mentors, 62.2% of whom were female. The mentors’ ethnic backgrounds were diverse, with significant representation of Asian (52%) and Latinx (30%) students. The undergraduate mentors, many of whom pursue careers in education, receive training in culturally responsive teaching practices and equity in education, significantly impacting their professional development. In a post-survey, 52.3% of the undergraduate mentors expressed interest in teaching or working in education and 45.9% were likely to pursue professions working with children or families.

Recognizing the central role of families in supporting Latinx youth, Math CEO involves parents through bilingual workshops that enhance community awareness of college pathways and financial opportunities. 

Math CEO has been the foundation for numerous research projects in mathematics education, supported by NSF grants, leading to publications and program growth. The program’s success is evident in its expansion to high schools and other regions in Southern California, including a new branch at California State University, Dominguez Hills. Math CEO continues to make a substantial impact on underserved youth, demonstrating a model of systemic, reproducible change that can be implemented by others.

Response of Alessandra Pantano, UCI Math CEO

I am deeply honored to receive the AMS Award for an Exemplary Program in a Mathematics Department on behalf of the UCI Math CEO team. This wonderful award recognizes the work of many colleagues, graduate students, and undergraduate students in developing and delivering the UCI Math Community Educational Outreach (Math CEO) program. For over a decade, Math CEO has provided creative and culturally responsive math enrichment opportunities for hundreds of underprivileged middle-school students, many of which have since “graduated” to high school or even college. Leading this exceptional and dedicated team of volunteers has been the highest pride of my professional life. A special thanks to my partners-in-crime, Prof. Li-Sheng Tseng, codirector of Math CEO, and former graduate student Andres Forero Cuervo, academic coordinator for Math CEO: We could have never done this without you. I look forward to pushing this activity forward and continuing to dedicate my energy to help kids in our county find the way to express their potential – in math and in life! A big thanks to the colleagues who nominated us and to the AMS for recognizing our efforts.  

History of the program

The UC Irvine Math Community Educational Outreach (Math CEO) program was founded in 2014 by math faculty Alessandra Pantano and Li-Sheng Tseng in collaboration with Santa Ana Unified math teacher Jasmina Matasovic. The founders shared a belief that low standardized test scores in underserved communities do not reflect students’ interest and potential to succeed in STEM. Math CEO runs free, weekly, after-school math enrichment sessions, welcoming all youth regardless of math achievement. Starting with only 25 students from one middle school, the program has grown and engaged nearly two thousand students in all, from multiple school districts in Southern California.

About the award

The annual AMS Award for an Exemplary Program or Achievement in a Mathematics Department was established in 2004 and first given in 2006. This award recognizes a department which has distinguished itself by undertaking an unusual or particularly effective program of value to the mathematics community, internally or in relation to the rest of society. Departments of mathematical sciences in North America that offer at least a bachelor’s degree in mathematical sciences are eligible. The award amount is currently $5,000. The award will be presented at the 2025 Joint Mathematics Meetings in Seattle.

Learn more about the award and previous recipients.

Contact: AMS Communications.

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The American Mathematical Society is dedicated to advancing research and connecting the diverse global mathematical community through our publications, meetings and conferences, MathSciNet, professional services, advocacy, and awareness programs.
 

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