It is a pleasure to invite you to Advances in Modern Topology 2026, a conference dedicated to fostering cooperation and collaboration among researchers in Algebraic Topology, Algebraic Geometry, and their interdisciplinary applications.

This year’s edition will be held for the first time in the beautiful city of Podgorica, hosted at the prestigious Main Building of the Montenegrin Academy of Sciences and Arts.

Conference Details:

Location: Podgorica, Montenegro

Venue: Montenegrin Academy of Sciences and Arts

Website: https://tinyurl.com/MoTop2026

Invited Speakers include: Anthony Bahri, Djordje Baralić, Ulrich Bauer, Victor Buchstaber, Vladimir Dragović, Alexandar Gaifullin, Jelena Grbić, Shintaro Kuroki, Mikiya Masuda, Taras Panov, Petar Pavešić, Stephen Theriault, and Rade Živaljević. ( * to be confirmed )

Key Deadlines:

Registration Deadline: Friday, August 01, 2026

Abstract Submission Deadline: Friday, August 31, 2026

How to Register: Please complete your registration and abstract submission via the following form: https://forms.gle/Fk1rVbHeUYNRgwCN9

We look forward to welcoming you to Podgorica for what promises to be a stimulating scientific gathering. Should you have any questions, please feel free to contact the organizing committee at [email protected].

For further information, please visit the website

The nineteenth annual Binghamton University Graduate Combinatorics Algebra and Topology Conference (BUGCAT Conference) will meet November 21-22, 2026 at Binghamton University. Graduate students at all levels, as well as faculty, are invited to give a 20-minute talk; talks may be expository or on current research. This year, we have three distinguished keynote speakers: Casey Donoven (Montana State University Northern), Ben Knudsen (Colorado State University) and Pablo Soberón (City University of New York).

This workshop is sponsored by AIM, NSF, and the Simons Foundation. This activity, which is a part of the New Structures in Low-dimensional topology collaboration, will be devoted to developing an approach to q-series invariants of 3-manifolds and knots via 2-representation theory. Verma modules play a key role in the construction of an analogue for a generic parameter q of the Reshetikhin-Turaev invariants. The workshop will consider the categorification of Verma modules constructed by Naisse-Vaz, their duals and tensor products, as well as braidings and traces. The goal is to apply these constructions to 3-dimensional topology and relate them to known invariants.

Main topics for the workshop are:

• determination of tensor products of 2-Verma modules, braidings and traces
• relation with the Dupont-Naisse construction
• extension to the case of tensor products of 2-Verma modules and their duals
• construction of homological invariants of particular knots and 3-manifolds

This is the sixth workshop on Computational Persistence (ComPer 2026). Invited Speakers: Erin Chambers, Chao Chen, Dmitriy Morozov, Don Sheehy, and Bei Wang. We invite submissions for contributed talks and poster presentations on all aspects of computational topology and topological data analysis. Submission Deadline: August 7, 2026. Notifications: September 4, 2026.

Dear colleagues,

This is the second announcement of our workshop

Synthetic Spectra

at the Bergische Universität Wuppertal, 15–19 March 2027.

The category of synthetic spectra is an exciting new tool in homotopy theory that categorifies the Adams spectral sequence. The workshop is aimed at both the theory and computational sides of this new tool and the interplay between them.

There will be two lecture series, of three talks each, by Irakli Patchkoria (Aberdeen) on the theoretical side and Dan Isaksen (Wayne State) on the computational side. The remaining talks are given by participants: Monday is devoted to background talks, and the rest of the week is built around two participant-given series, one on Lin–Wang–Xu's solution of the last Kervaire invariant problem and one on Burklund's multiplicative structures on Moore spectra.

The full program, abstracts, and registration form can be found on the workshop webpage:

https://sites.google.com/view/workshop-ss2027/

Participants are warmly encouraged to give a talk, and you can apply to do so on the registration form. You may submit written material in support of your application — a paper, a section of a thesis, lecture notes, or anything else that helps us judge how you write and explain mathematics.

Funding is available to support participants, with priority for graduate students and postdocs without access to their own travel money. You can apply for this on the same form.

Two deadlines: 1 November 2026 — to apply to give a talk (and for funding). 1 March 2027 — to register to attend.

Giving a talk is not required for participation. We expect the audience to be mainly PhD students and postdocs, and we assume familiarity with spectra, ∞-categories and spectral sequences, but nothing beyond that.

The workshop is supported by the topology group at Wuppertal and by GRK 2240.

We hope to see many of you in Wuppertal in March.

With best wishes, Christian Carrick, Sven van Nigtevecht, and Fei Ren

The conference offers a vital platform for connecting fundamental mathematical research with interdisciplinary applications. Participants will have the opportunity to engage with leading researchers and explore recent advances across a broad spectrum of mathematical disciplines.

The scientific program will cover the following thematic sessions:

S1. Algebra, Geometry, Topology, and Logic with Applications;

S2. Mathematical Analysis;

S3. Statistics and Operational Research;

S4. Mechanics and Mathematical Physics;

S5. Mathematics, Computer Science, and Artificial Intelligence;

S6. Applied Mathematics.

Submit Your abstract by 26 February 2027 via this link: https://sciforum.net/submissions/ICMTMS2027/link/1

Register to enjoy an early-bird rate by 17 April 2027 via this link: https://sciforum.net/registration/ICMTMS2027/tickets

We hope to see you in the vibrant and exciting city of Bucharest in June 2027!

The conference offers a vital platform for connecting fundamental mathematical research with interdisciplinary applications. Participants will have the opportunity to engage with leading researchers and explore recent advances across a broad spectrum of mathematical disciplines.

The scientific program will cover the following thematic sessions:

S1. Algebra, Geometry, Topology, and Logic with Applications;

S2. Mathematical Analysis;

S3. Statistics and Operational Research;

S4. Mechanics and Mathematical Physics;

S5. Mathematics, Computer Science, and Artificial Intelligence;

S6. Applied Mathematics.

Submit Your abstract by 26 February 2027 via this link: https://sciforum.net/submissions/ICMTMS2027/link/1

Register to enjoy an early-bird rate by 17 April 2027 via this link: https://sciforum.net/registration/ICMTMS2027/tickets

We hope to see you in the vibrant and exciting city of Bucharest in June 2027!