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In this series of talks, we will explore how the field of self-organized criticality is useful to inform the structure of artificial models of life. This is joint work with Kalinin, Tabares and Shkolnikov, and with Cruz, Muñoz and Viafara.
Ernesto Lupercio - Self-organized Criticality and Artificial Life
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The Bulgarian Academy of Sciences, The Institute of Mathematics and Informatics and The International Center for Mathematical Sciences – Sofia organizes a lecture Building Scientific Institutes by Prof. Yuri Tschinkel, Courant Institute at New York University, USA. Prof. Tschinkel will share his experience with funding research through private business. The lecture will be held on June 13, 2022 (Monday), at 5:30 pm, at the Intercontinental Hotel Sofia, Ballroom Hall, 4 Narodno Sabranie Square.
Prof. Yuri Tschinkel - Building Scientific Institutes
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The International Center for Mathematical Sciences – Sofia is organizing for a second consecutive year a meeting of young Bulgarian mathematicians from around the world. The conference will take place at the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (IMI-BAS) from June 13 to June 14. A special guest of the event is Prof. Yuri Tschinkel from Courant Institute, NYU and Simmons Foundation director for mathematical and physical sciences.
Second Annual Meeting of Young Mathematicians
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These lectures will present a board survey of recent work on new q-series invariants of 3-manifolds labeled by Spin-C structures. While the original motivation for studying these invariants is rooted in topology, they exhibit a number of unexpected properties and connections to other areas of mathematics, e.g. turn out to be characters of logarithmic vertex algebras. The integer coefficients of these q-series invariants can be understood as the answer to a certain enumerative problem, and when q tends to special values these invariants relate to other invariants of 3-manifolds labeled by Spin and Spin-C structures.
From Turaev to Rokhlin via VOA Characters and Curve Counting, by Sergey Gukov

About us

The newly established International Center for Mathematical Sciences – Sofia is a dynamic research unit for developing and dissemination of cutting edge new directions in Mathematics. It is affiliated with the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences which is providing the infrastructure for the activities of the Center. The Center is supported by the Ministry of Education and Science of the Republic of Bulgaria. The Activities of the ICMS – Sofia are carried out in collaboration with the Institute of the Mathematical Sciences of the Americas at the University of Miami (IMSA). The ICMS-Sofia is also working in collaboration with Bulgarian universities and institutes of the Bulgarian Academy of Sciences.

The Center was created following inspirational discussions with many members of the mathematical community in Bulgaria and the Bulgarian mathematical diaspora. In July 2019, ICMS-Sofia initiated its full-scale presence on the European mathematical scene with the full support of the Presidency of the Bulgarian Academy of Sciences.

The first director of ICMS-Sofia was Acad. Blagovest Sendov.

Simons Foundation
Grant 2022-2025

The Simons Foundation International, Ltd., (SFI) is funding a project of the International Center for Mathematical Sciences for the period 2022 – 2025.

The grant is aimed at supporting displaced scientists from Ukraine and other countries, organizing international scientific events with the participation of world-renowned and established mathematicians, and opening new research positions for young scientists.

On focus:

The Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences (IMI-BAS) announces four temporary (5-year) positions for R4 Leading researchers (Chairs), who are at the career stage at which they are already established leaders with a recognized track record of research achievements. The approved researchers will be affiliated with the International Center for Mathematical Sciences – Sofia (ICMS-Sofia), which is part of the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences. The positions are financially supported by Simons Foundation grant and funds from the Ministry of Education and Science of the Republic of Bulgaria.

The goal is:

  • acceleration of progress in mathematics,
  • acceleration of ICMS-Sofia reputation worldwide,
  • establishing ICMS-Sofia as a leading regional scientific center producing a pipeline for Bulgarian and international talents,
  • expanding ICMS-Sofia influence to society in Bulgaria at large in outreach activities and integration with industry.

The approved Chairs must establish their own research groups, consisting of an established researcher, a postdoc, and/or a PhD student. The Chairs need to ensure a high international visibility of the research groups obtaining major results in hot areas of mathematics in the first 5 years. The Chair’s contract can be extended for another 5 years or lead to a permanent position in IMI-BAS.

The selection process will be done by a Recruitment committee and the final selection will be approved by the ICMS Advisory Board.

An evaluation by the above committee will be made after third (Intermediate Report) and fifth year (Final Report). The contracts will be extended upon the committee decision.

Payment to the Leading Researcher/Chair: up to 4800 EUR (9388 BGN) per month. The corresponding social insurance contributions due by the employer are not included in the above amount. Competitive salaries will be provided to the team members (senior staff, postdocs and PhD students). IMI-BAS will appoint the Chair and the team members under an employment contract.

Additionally, each research group will be offered an attractive amount of money for visitors and conferences.

Starting date is planned to be September 1, 2024, the earliest, but it can be negotiated if needed. The working language is English or Bulgarian.

Additional information will be available upon request.

Applications can be made in any field of the contemporary fundamental and applied Mathematics. There are no restrictions on the applicant’s nationality and gender.

Interested candidates should provide a CV, list of publications, and a project description (up to 10 pages). Letters of recommendation are not required but will be considered if provided. Please, send your applications by E-mail to

Deadline: Applications completed by July 31, 2024 will be given full consideration, although applications will be accepted until all positions are filled.

Events and activities

Annual conference

Women in Mathematics in South-Eastern Europe

The mission of the initiative Women in Mathematics in South-Eastern Europe is to promote the role of female mathematicians.

The mission will be achieved through series of annual conferences with the main goal to celebrate women in Mathematics, to disseminate new results and create new long-term collaborations among scientists in South-Eastern Europe. We hope Women in Mathematics of South-Eastern Europe will attract the attention of young researchers and researchers from less-favoured countries.

The inaugural conference of the initiative Women in Mathematics in South-Eastern Europe took place in Dec 2020. A special distinguished guest of the inaugural conference was prof. Mina Teicher from the Department of Mathematics and Gonda Brain Research Center, Bar-Ilan University, Israel. Prof Teicher is also Director of Emmy Noether Institute for Mathematics.

Annual conference

The Annual Meeting of Young Bulgarian Mathematicians

This meeting has as its main objective bringing together young Bulgarian mathematicians working all over the world.

We envision two main outcomes:

  • enriching relations between young mathematicians working in Bulgaria and the Bulgarian mathematical diaspora;
  • enhancing the professional development of young Bulgarian mathematicians by presenting new opportunities using the national and European scientific programmes.

The inaugural event of the series was held May 19-20 2021 and commemorated the brightest Bulgarian holiday the Day of Bulgarian Enlightenment and Culture and the Slavоnic Alphabet May 24.

The 2023 Summer issue of our quarterly newsletter is here!

(14.2 MB PDF)

… to receive our quarterly newsletter about the past and future activities of the ICMS-Sofia.

News and Announcements

Bubbling symplectic structures on moduli, a talk by Tony Pantev

November 14th, 2023|

 I will describe a new geometric method for constructing and controlling shifted symplectic structures on the moduli of vector bundles along the fibers of a degenerating family of Calabi-Yau varieties. The method utilizes bubbling modifications of the boundaries of limiting moduli spaces to extend the symplectic structure on the general fiber to a relative symplectic structure defined on the whole family. As a proof of concept we show that this produces a universal relative symplectic structure on the moduli of Gieseker Higgs bundles along a semistable degeneration of curves. We also check that the construction works globally over the moduli stack of stable curves and show that the Hitchin map has the expected behavior in the limit. This is a joint work with Oren Ben-Bassat and Sourav Das.

Density of Hasse failures for diagonal affine cubic surfaces, a talk by Vladimir Mitankin

October 17th, 2023|

In this talk we shall apply the integral version of the Brauer-Manin obstruction to construct the first examples of such failures not explained by local conditions in the setting of affine diagonal ternary cubics. We will then explore in three different natural ways how such failures are distributed across the family of affine diagonal ternary cubics.

Tropical structures in sandpile model, talk by Mikhail Shkolnikov, IMI-BAS

October 9th, 2023|

I will tell how tropical curves arise in the scaling limit of the sandpile model in the vicinity of the maximal stable state and explain two major consequences inspired by this fact. The first one is that there is a continuous model for self-organized criticality, the only known model of a kind, defined in the realm of tropical geometry. The second is that the totality of recurrent states in the original sandpile model, the sandpile group, approximates a continuous group, a tropical Abelian variety, which is functorial with respect to inclusions of domains, allowing to compute its scaling limit as a space of circle-valued harmonic functions on the whole lattice.

Invariant theory, homogeneous projective varieties, and momentum maps, course by Valdemar Tsanov

September 29th, 2023|

After introducing the basic notions, I will derive some properties of momentum images related to fundamental forms and osculating varieties, as well as a lower bound on the minimal positive degree of a homogeneous invariant, derived using secant varieties. At the end I will present a class of homogeneous projective varieties, characterized by a special property of their secant varieties, where the relations between the above three concepts take a particularly pristine form.

Our esteemed collaborators

Carlos Simpson
Alexander Efimov
Victor Przyjalkowski
Yu-We Fan
Ivan Cheltsov
Maxim Kontsevich
Artan Sheshmani
Ernesto Lupercio
Tony Yue YU