Read more ...
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
Read more ...
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
Read more ...
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
Read more ...
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) and Higher School of Economics, National Research University, Moscow (HSE University). 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 International Center for Mathematical Sciences – Sofia (ICMS-Sofia)


ICMS Seminar

9.04.2024, 14:00 Sofia time,

ICMS-Sofia, Room 403

The Specht property for varieties of $Z_n$-graded Lie algebras

Daniela Martinez Correa

Faculty of Mathematics and Informatics, Sofia University “St. Kliment Ohridski”


Let $UT_n(K)$ be the algebra of the $ntimes n$ upper triangular matrices and denote $UT_n(K)^{(-)}$ the Lie algebra on the vector space of $UT_n(K)$ with respect to the usual bracket (commutator), over an infinite field $K$. In this talk, we give a positive answer to the Specht property for the ideal of the $\mathbb{Z}_n$-graded identities of $UT_n(K)^{(-)}$ with the canonical grading when the characteristic $p$ of $K$ is 0 or is larger than $n-1$.

Moreover, if $K$ is a field of positive characteristic $p$, we construct three varieties of $Z_{p+1}$-graded Lie algebras which do not have a finite basis of their graded identities and satisfy the graded identities which in the case of infinite field define the variety generated by $UT_{p+1}^{(-)}(K)$. The first variety contains the other two. The second one is locally finite. The third variety is generated by a finite dimensional algebra over an infinite field.

This is a joint work with Vesselin Drensky (IMI-BAS) and Plamen Koshlukov (Unicamp, Brazil).

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

The Milnor number of a smoothable curve, talk by Antony Rangachev

January 4th, 2024|

In this talk I will derive an algebraic formula for the Milnor number of a smoothable complex analytic curve singularity X by relating it to the Euler characteristic of its smoothing, which in turn I will relate to the multiplicity of the Jacobian ideal of X and and the multiplicity of X at its singular point. If time permits I will discuss generalizations to higher dimensions. This is a report on a joint work with Gaffney and Bengus-Lasnier.

Recent developments in the study of Følner functions, talk by Bogdan Stankov

November 30th, 2023|

The Følner function of a group is defined on positive integers n as the smallest size of a Følner set, the boundary of which is at most 1/n times the size of the set. Its values are then finite if and only if the group is amenable. It can be thought of as encoding "how amenable a group is". We will give an overview of how our understanding of Følner functions has progressed. We will mostly talk about two major types of development. The first one concerns proving, for a given type of function, the existence of a group that has a Følner function of that type. The other one is connections between the asymptotics of Følner functions and those of the growth function.

de Sitter (dS) Relativity versus Poincaré Relativity, talk by Hamed Pejhan

November 24th, 2023|

This presentation introduces a novel holographic correspondence in d-dimensional de Sitter (dS_d) spacetime, connecting bulk dS_d scalar unitary irreducible representations (UIRs) with their counterparts at the dS_d boundary, all while preserving reflection positivity. The proposed approach, with potential applicability to diverse dS_d UIRs, is rooted in the geometry of the complex dS_d spacetime and leverages the inherent properties of the (global) dS_d plane waves, as defined within their designated tube domains.

Our esteemed collaborators

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