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Kenta Suzuki of the Massachusetts Institute of Technology (MIT) is awarded the 2025 American Mathematical Society (AMS)-Mathematical Association of America (MAA)-Society for Industrial and Applied Mathematics (SIAM) Frank and Brennie Morgan Prize for his extraordinary research in the representation theory of $p$-adic groups. His papers, including two solo works, represent significant progress in different areas of the field.

From the citation

Suzuki worked on deep problems in representation theory, and he has authored and coauthored six research papers. In particular, he has made important contributions to the representation theory of $p$-adic groups. His results include asymptotics for the dimension of spaces fixed by a congruence subgroup in an admissible representation of $GL(n).$ His joint works include working out the local Langlands correspondence for several rank two $p$-adic groups, and the determination of canonical bases in the subregular quotient of the affine Hecke algebra and its antispherical module, along with their “coherent” categorifications.

Response of Kenta Suzuki

It is an honor for me to receive the Frank and Brennie Morgan Prize. I thank the Morgan family and the AMS, MAA, and SIAM for their generosity. I thank my mentors throughout the years, Toshihiko Nakazawa, Li Li, Michael Zieve, and Colin Hinde, for kindling my interest in mathematics. Toshihiko Nakazawa patiently explored mathematics with me from a young age and continues to inspire me with his insights. I thank Roman Bezrukavnikov, Wei Zhang, Zhiwei Yun, Ivan Losev, Vasily Krylov, and Calder Morton-Ferguson for further stimulating my interest in mathematics at MIT and introducing me to the many wonders of representation theory. Wei Zhang’s unwavering support has motivated me to explore many areas of mathematics. I leave every conversation with Roman Bezrukavnikov with new ideas, and he has helped me grow as a researcher by encouraging me to pursue even my most ambitious ideas. The mathematical community at MIT and Harvard have been supportive and taught me so much, both mathematical and nonmathematical. Finally, I thank my parents, particularly my mother, for supporting me throughout my journey in every possible way. She has been my role model and is one of the most intelligent and charismatic people I know.

Biographical sketch of Kenta Suzuki

Kenta Suzuki is a fourth-year undergraduate at MIT from Tokyo, Japan, and Plymouth, Michigan. Suzuki’s work focuses on the representation theory of $p$-adic groups and geometric representation theory. Suzuki is particularly interested in applying geometric methods to solve problems of representation theory. In his free time, he runs, reads, and is (slowly) learning how to cook.

About the prize

The AMS-MAA-SIAM Frank and Brennie Morgan Prize for Outstanding Research in Mathematics by an Undergraduate Student is awarded annually to an undergraduate (or students for joint work) for outstanding research in mathematics. The prize recipient's research can include more than one paper, however, the paper or papers to be considered for the prize must be completed while the student is an undergraduate. Publication of research is not required.

Established in 1995, the prize is entirely endowed by a gift from Mrs. Frank (Brennie) Morgan. The current prize amount is $1,200.

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

Learn more about the prize 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.

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

*****

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.

Sophie Morier-Genoud of the University of Reims Champagne-Ardenne and Valentin Ovsienko of the Centre National de la Recherche Scientifique, Reims, are awarded the 2025 AMS David P. Robbins Prize for their paper “$q$-deformed rationals and $q$-continued fractions,” published in Forum of Mathematics, Sigma.

“In this groundbreaking work .. it is shown that the new concept has striking connections and applications to a wide range of mathematical areas,” according to the prize citation. “The paper has subsequently inspired a profusion of significant further research developments.”

From the citation

The David P. Robbins Prize is awarded to Sophie Morier-Genoud and Valentin Ovsienko for their paper “$q$-deformed rationals and $q$-continued fractions,” published in Forum of Mathematics, Sigma, in 2020.

The authors provide an entirely novel and natural definition of a $q$-analog of the rational numbers. Although a $q$-analog of the integers has been used extensively since the work of Euler, a satisfactory and meaningful $q$-analog of the rationals had remained elusive until this paper. The definition also leads to a natural $q$-analog of the real numbers and has a wide range of fascinating and far-reaching applications.

A $q$-analog of a mathematical concept is a generalization of the concept which depends on a new parameter $q$ in such a way that the original concept is recovered when $q$ is set to 1, and various interesting or useful properties also arise.

Response of Sophie Morier-Genoud

I am thrilled and honored to receive the 2025 David P. Robbins Prize. This is a fantastic recognition and a great encouragement to keep doing what I like to do. I always had a lot of fun doing mathematics and I feel privileged to do it as a profession. 

I am grateful to everyone who helped me in making this path possible. 

I would like to thank all my collaborators and colleagues in the Math Department at the University of Reims and also everywhere in the world who show interest in the math we are doing and contribute to enrich the theory of $q$-numbers.

Response of Valentin Ovsienko

I am deeply moved to receive this prize, named in honor of David P. Robbins, the creator of mathematical concepts that will forever remain among the most beautiful.

My scientific life has been spent trying to connect different topics in algebra, geometry, and mathematical physics. The $q$-numbers, which is a combinatorial notion, are the result of my journey with my younger and much smarter collaborator Sophie Morier-Genoud, following this route. We tried to better understand connections between cluster algebra, Coxeter friezes, Conway’s ideas, the Jones polynomial... We realized that it is impossible to $q$-deform a singular object, but only an infinite sequence of them! In order to $q$-deform rationals, one needs to count them all. We chose the way of counting determined by continued fractions and the action of the modular group.

Working on this subject has been and remains the happiest part of my scientific life. I was captivated by $q$-rationals and I was completely haunted by $q$-irrationals. This happiness, enhanced by interest of other researchers, in itself is reward enough. 

My collaboration with Sophie produced a variety of results, including two energetic children, Lisa and Anatole; the $q$-numbers are also little kids who need to grow up!

Biographical sketch of Sophie Morier-Genoud

Sophie Morier-Genoud is currently full professor at the University of Reims Champagne-Ardenne in France. She completed her PhD at the University of Lyon (2006) under the supervision of Philippe Caldero. She was T.H. Hildebrandt Assistant Professor at the University of Michigan (2006-2008), postdoctoral fellow of the Fondation Sciences Mathématiques de Paris (2008-2009) and associate professor at Sorbonne Université (2009-2021). Her research work is mainly related to algebraic combinatorics and representation theory. She currently serves as an editor for the column “Gems and Curiosities” of the Mathematical Intelligencer.

Biographical sketch of Valentin Ovsienko

Valentin Ovsienko was born in 1964 in the Soviet Union. He received his PhD in 1989 from Moscow State University under the supervision of Alexandre Kirillov. Ovsienko is currently in Reims, Champagne, as a senior researcher at the French Centre National de la Recherche Scientifique. He worked in projective differential geometry, infinite-dimensional Lie algebras, integrable systems, octonions, and, more recently, in combinatorics. Together with Sophie Morier-Genoud, he is the editor of the column “Gems and Curiosities” of the Mathematical Intelligencer, and he invites everyone to write beautiful articles for it.

About the prize

The David P. Robbins Prize is awarded every three years for a paper with the following characteristics: It reports on novel research in algebra, combinatorics, or discrete mathematics and has a significant experimental component; and it is on a topic which is broadly accessible and provides a simple statement of the problem and clear exposition of the work. Papers published within the six calendar years preceding the year in which the prize is awarded are eligible for consideration.

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

Learn more about the prize and previous recipients.

Contact: AMS Communications.

*****

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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The two branches of the Kennedy pathways (CDP-choline and CDP-ethanolamine) are the predominant pathways responsible for the synthesis of the most abundant phospholipids, phosphatidylcholine and phosphatidylethanolamine, respectively, in mammalian membranes. Recently, hereditary diseases associated with single gene mutations in the Kennedy pathways have been identified. Interestingly, genetic diseases within the same pathway vary greatly, ranging from muscular dystrophy to spastic paraplegia to a childhood blinding disorder to bone deformations. Indeed, different point mutations in the same gene (PCYT1; CCTα) result in at least three distinct diseases. In this review, we will summarize and review the genetic diseases associated with mutations in genes of the Kennedy pathway for phospholipid synthesis. These single-gene disorders provide insight, indeed direct genotype-phenotype relationships, into the biological functions of specific enzymes of the Kennedy pathway. We discuss potential mechanisms of how mutations within the same pathway can cause disparate disease.

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