Research Groups

3 11, 2025

Workshop “Recent developments in modern Hodge theory”

2025-12-09T12:21:56+02:00November 3rd, 2025|Conferences, Topological, Computational, and Algebraic Aspects of Complex Systems|

The workshop brings together a focused group of researchers working across non-Kähler complex geometry, Hodge-theoretic and categorical structures, quantum and irregular phenomena, and mirror symmetry. The goal is to clarify and refine a set of ideas that appear as “atomic” components across these areas, and to create space for concentrated discussion and collaboration. The program combines extended sessions, research talks, and blackboard discussions. The setting is intended to be mathematically rigorous, collegial, and oriented toward identifying new structures and open directions.

3 11, 2025

ToA Research Group Seminar, talk by Roy Magen (ICMS, IMI-BAS) – A closer look at the definition of atoms and functoriality

2025-11-03T08:14:50+02:00November 3rd, 2025|Theory of Atoms|

November 5, 2025, 16:30 Sofia time, Room 403, IMI-BAS and online via Zoom..

A closer look at the definition of atoms and functoriality - seminar talk by Roy Magen (ICMS, IMI-BAS).

31 10, 2025

ToA Research Group Seminar, talk by Prof. Ludmil Katzarkov: Recent Advancements in the Theory of Atoms

2025-10-31T13:55:13+02:00October 31st, 2025|Theory of Atoms|

November 4, 2025, 3:00 PM, Room 403, IMI-BAS and online via Zoom..

Seminar by Prof. Ludmil Katzarkov on Recent Advancements in the Theory of Atoms.

22 10, 2025

Sandpiles and Tropical Geometry, Specialized PhD Course

2025-10-22T11:47:18+03:00October 22nd, 2025|Topological, Computational, and Algebraic Aspects of Complex Systems|

This course examines the intersection of Abelian Sandpile Theory and Tropical Geometry—two frameworks revealing how discrete local rules generate global geometric order. Offered by the Topological and Geometric Complexity Group at ICMS Sofia, the course welcomes doctoral students and researchers interested in the geometric foundations of complex systems.

7 10, 2025

Symposium “Entanglements of Logic, Data, and Complexity”

2025-11-07T20:06:23+02:00October 7th, 2025|Conferences, Topological, Computational, and Algebraic Aspects of Complex Systems|

The Symposium on Complex Systems, Data, and Topology is a four-day gathering exploring the frontiers of mathematics, machine learning, geometry, and real-world complexity. Set within the vibrant intellectual atmosphere of ICMS Sofia, the symposium brings together a select group of international researchers to discuss new ideas, paradigms, and tools shaping the future of science and computation.

6 10, 2025

International Conference “Quantum Groups and Cluster Algebras” 2025

2025-12-09T19:09:57+02:00October 6th, 2025|Conferences, Quantum Groups and Cluster Algebras|

The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) hosts an international conference on Quantum Groups and Cluster Algebras between 15-19 December 2025 at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, with the financial support of the Simons Foundation, Republic of Bulgaria - Ministry of Education and Science and Institute of Mathematics and Informatics, and Bulgarian Academy of Sciences. The aim of this conference is to bring together researchers to share recent advances and promote further developments in the theory of Quantum Groups and Cluster Algebras.

19 09, 2025

Recent Developments on Tropical Sandpiles and Related Subjects, workshop

2025-09-24T07:59:25+03:00September 19th, 2025|Topological, Computational, and Algebraic Aspects of Complex Systems|

Tropical sandpiles stand at the crossroads of mathematics, computer science, machine learning, algebra, physics, and mathematical logic. Originating from models of self-organized criticality, they reveal intricate combinatorial and geometric structures that echo through algebraic geometry and tropical mathematics. Their dynamics connect to complexity theory and algorithmic design in computer science, while also inspiring methods in statistical mechanics and the study of complex systems in physics. More recently, tropical sandpile models have begun to interact with approaches in data science and machine learning. At the same time, their formal underpinnings invite connections to logic and the foundations of computation — providing a common language where diverse disciplines converge.

16 09, 2025

Theory of Atoms via Examples, Minicourse

2025-10-10T01:52:28+03:00September 16th, 2025|Theory of Atoms|

September - October 2025

The research group “Theory of Atoms”'s Leonardo Kavenaghi will give series of lectures

The Theory of Atoms is a recent formalism introduced by Katzarkov, Kontsevich, Pantev, and Yu, which aims to integrate classical Hodge theory with symplectic geometry, seeking applications in birational geometry.

To properly understand it, we must gather concepts from many areas of knowledge, ranging from Gromov-Witten theory and enumerative algebraic geometry to classical and noncommutative Hodge theory. This series is designed to be an example-driven introduction, providing the essential background needed to understand this new theory.

8 08, 2025

A Year of Collaboration and Discovery in the Theory of Atoms Group

2025-10-31T18:32:29+02:00August 8th, 2025|News, Theory of Atoms|

On August 7, 2025, the Conference Celebrating the Consortium IMSAC was officially opened at the Institute of Mathematics and Informatics (IMI–BAS) in Sofia. The event honors the long-standing collaboration among leading mathematical institutes across the USA, Latin America, Asia, and Europe, united in the Institute of the Mathematical Sciences of the Americas Consortium (IMSAC). At the opening, Prof. Julian Revalski, Director of the International Center for Mathematical Sciences – Sofia (ICMS-Sofia), greeted the participants and emphasized the importance of international cooperation in advancing contemporary mathematics. Prof. Peter Boyvalenkov, Director of IMI-BAS, welcomed the guests to the institute and wished them a fruitful and inspiring conference. The opening of the conference also sets the tone for a vibrant month of mathematical activity inBulgaria and coincides with an important milestone — the end of the first year of the activities of the research group Theory of Atoms, led by Prof. Ludmil Katzarkov.

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