SLMath AxIOM on Commutative Algebra, Representation Theory, and other interactions

There will be an SLMath AxIOM program on Commutative Algebra, Representation Theory, and other interactions from January 25 to February 19, 2027. For more information, see the program website.
The website for applying for participation is now open! Applications are due on March 31, 2026. Invitations to successful applicants will be sent in June 2026. Only SLMath can issue official invitations and fund offers. Please feel free to contact the organizers (David Eisenbdu, Claudia Polini, Srikanth Iyengar, and Bernd Ulrich) with any questions you have.

Mitsuyasu Hashimoto (1962-2025)

We are deeply saddened to share with the community the news of the passing of Mitsuyasu Hashimoto on December 29, 2025, at the age of 63.

Below is a message we received from Kazuhiko Kurano:

Hashimoto had long pursued research in the boundary between commutative algebra and invariant theory/representation theory. He did his mathematics with extreme care and, in that sense, he also had an uncompromising side. At the same time, he was very kind to those around him.

Hashimoto and I entered Kyoto University in 1981. As I recall, we first became acquainted in our third year. In our fourth year, we were both assigned to the laboratory of Professor Masayoshi Nagata, where we began studying commutative algebra. At that time, the members of Nagata’s group included Assistant Professor Jun-ichi Nishimura and a senior student, Mitsuhiro Miyazaki, who was two years ahead of us. Hashimoto and I worked on the problem of whether the minimal free resolution of determinantal ideals can be realized over the integers — in other words, whether the Betti numbers depend on the characteristic of the base field. Hashimoto resolved this problem by showing that, in the case of the ideal generated by the 2×2 minors of a generic 5×5 matrix, the second Betti number does depend on the characteristic of the field. I greatly admired his quick thinking and sheer intellectual power. Hashimoto and I were the last students to receive a doctoral degree under Nagata.

After that, Hashimoto took a position at Nagoya University. We were able to meet several times a year at symposia. Later, Hashimoto moved to Okayama University, and then to Osaka Metropolitan University. He wrote a Springer Lecture Notes on twisted inverse functors with group actions. In our second joint paper, we determined the canonical module of the Cox ring, and in the proof we made use of this twisted inverse functor with group actions. He also conducted research on a positive-characteristic version of Boutot’s theorem. In recognition of these achievements, he was awarded the Algebra Prize of the Mathematical Society of Japan in 2017.

Hashimoto devoted a great deal of energy towards settling the Jacobian conjecture; he even took a vow to abstain from alcohol until the day that he was successful.

About forty days before his passing, Hashimoto, Nishimura and I had dinner together and enjoyed fugu cuisine. Hashimoto had a good appetite, and spoke very positively about the future. However, I was told that his condition suddenly worsened in mid-December 2025. We had talked about continuing to enjoy mathematics together, without rushing, taking things slowly; it is deeply regrettable that this will no longer be possible.

We will remember Mitsuyasu Hashimoto and his work forever.

Research elevator pitches by early-career commutative algebraists

This August, at Summer CAMP, early-career commutative algebraists gave elevator pitches on their research, aimed at other commutative algebraists, at mathematicians, and even at the general public. You can view video recordings of the elevator pitches on YouTube:

Elevator pitches aimed at commutative algebraists

Elevator pitches aimed at all mathematicians

Elevator pitches for a general audience

Announcing Combinatorial Commutative Algebra — A New Diamond Open Access Journal

Below is a message from Sara Faridi, Tài Huy Hà, and Adam Van Tuyl:

Dear Colleagues,

We are pleased to announce the launch of Combinatorial Commutative Algebra (CCA), a new Diamond Open Access journal dedicated to high-quality research in combinatorial commutative algebra and its interactions with geometry, topology, and applied fields. All articles are freely available to both readers and authors at:

[www.ccamath.org]🌐 www.ccamath.org

📄 Submissions: https://ef.msp.org/submit_new.php?j=cca

Combinatorial Commutative Algebra (CCA) is a fully refereed journal publishing significant advances in topics such as:
• Monomial and toric ideals
• Combinatorial aspects of homological algebra
• Combinatorial topology
• Arrangements
• Tropical geometry
• Applications to coding theory, algebraic statistics, and related areas

CCA is community-owned and community-managed, committed to maintaining the highest standards of scholarship while remaining freely accessible.

We also invite submissions for the inaugural volume, scheduled for release in late 2026.

Honorary Editors
• Mel Hochster, University of Michigan, USA
• Richard Stanley, MIT and University of Miami, USA
Editors-in-Chief
• Sara Faridi, Dalhousie University, Canada
• Tài Huy Hà, Tulane University, USA
• Adam Van Tuyl, McMaster University, Canada
Editors
• Sara Madani, Amirkabir University of Technology, Iran
• Fatemeh Mohammadi, KU Leuven, Belgium
• Susan Morey, Texas State University, USA
• Uwe Nagel, University of Kentucky, USA
• Eran Nevo, Hebrew University, Israel
• Nguyen Cong Minh, Hanoi University of Science and Technology, Vietnam
• Sonja Petrović, Illinois Institute of Technology, USA
• Jenna Rajchgot, McMaster University, Canada
• Vic Reiner, University of Minnesota, USA
• Tim Römer, Osnabrück University, Germany
• Alexandra Seceleanu, University of Nebraska–Lincoln, USA
• Volkmar Welker, Philipps-Universität Marburg, Germany
• Masahiko Yoshinaga, Osaka University, Japan
Production Editors
• Federico Galetto, Cleveland State University, USA
• Selvi Kara, Bryn Mawr College, USA
Advisory Editors
• Winfred Bruns, Osnabrück University, Germany
• Aldo Conca, University of Genova, Italy
• Alicia Dickenstein, Universidad de Buenos Aires, Argentina
• Takayuki Hibi, Osaka University, Japan
• Satoshi Murai, Waseda University, Japan
• Isabella Novik, University of Washington, USA
• Irena Peeva, Cornell University, USA
• Hal Schenck, Auburn University, USA
• Bernd Sturmfels, Max Planck Institute / University of California at Berkeley (Germany/USA)
• Ngo Viet Trung, Vietnam Academy of Science and Technology, Vietnam
• Rafael Villarreal, Cinvestav – CDMX Zacatenco, Mexico

We warmly invite you to submit your work and help make this new journal a success.
Best wishes,
Adam, Sara, and Tai

Graduate Research semester at the University of Hawai’i at Mānoa

The Department of Mathematics at the University of Hawai’i at Mānoa will host a Fall 2026 Graduate Research Communityon the theme of multigraded commutative algebra and toric geometry.
The research community will consist of a group of six graduate students in mathematics who will spend the Fall 2026 Semester working together on a common research project.  Activities of the research community, including regular professional development activities, will be led by Daniel Erman and Elizabeth Gross. The research project will be led by Daniel Erman and will focus on the theme of multigraded commutative algebra and toric geometry. More information can be found on the program’s website.
If you know of any PhD student who might be interested in this program, please pass this along!

Postdoc at the University of Hawaiʻi at Mānoa

The University of Hawaiʻi at Mānoa is hiring a 2-year postdoc to start in Fall 2026 as part of an NSF FRG grant on connections between commutative algebra, algebraic geometry, and symplectic geometry. Per NSF requirements, candidates must be US citizens or permanent residents. For more information, and to apply, see the mathjobs post.

Tenure-track job at Syracuse

Syracuse University is hiring a mathematician for a slightly unusual position, that might be of interest to many commutative algebraists:

https://www.mathjobs.org/jobs/list/27104

Help spreading the word! The position is labeled Assistant Professor, Quantum Information Science, but they really want a mathematician. It is in the Mathematics Department, and they expect to hire a mathematician, but the applicant should be able to participate in Syracuse University’s new Institute for Quantum and Information Sciences. For example, anyone that uses Koszul duality, D-modules, QFT, mirror symmetry or any other areas that have applications to physics would be excellent fits (as would math people in various other areas, such as parts of analysis, geometry, topology, probability, etc)! It’s a fancy job, funded by the Simons Institute for the first 3 years.

The due date November 15 but earlier is always better so they have time to read it.