Yukawa regulators in electrodynamics: Exact approach to the self-energy and anomalous g-factor, ICMS seminar talk by Miroslav Georgiev

In the present talk, we will discuss the prospect of electrodynamics in quantifying the self-interaction of a non-composite charged particle. We will demonstrate that under the consideration of unique to the particle Yukawa cut-offs the radial singularity in corresponding electromagnetic field potentials’ is removed allowing the classical theory to admit exact solutions for the particle’s self-energy and anomalous g-factor.

Published On: January 30th, 2025Categories: ICMS Seminar, NewsLast Updated: January 30th, 20250.7 min read
Regularized Quantum Motion in a Bounded Set: Hilbertian Aspects, talk by Jean-Pierre Gazeau

In this talk, we demonstrate that essential self-adjointness can be restored by symmetrically weighting the momentum operator with a positive bounded function that approximates the indicator function of the given interval. This weighted momentum operator arises naturally from a similarly weighted classical momentum through the Weyl-Heisenberg covariant integral quantization of functions or distributions.

Published On: January 10th, 2025Categories: ICMS Seminar, NewsLast Updated: January 10th, 20250.7 min read
International Educational Workshop on the Theory of Atoms: Foundations, Advances, and Future Directions

From December 16 to 19, 2024, we hosted an educational workshop on the Theory of Atoms. The goal of this workshop was to explain the foundations of the new theory of atoms, introduced recently by L. Katzarkov, M. Kontsevich, T. Pantev and T. Yu. The workshop attracted over 40 researchers from around the world, including Austria, Belgium, Brazil, Colombia, France, Germany, Hungary, India, Mexico, South Korea, Switzerland, and the USA, underscoring its global significance. The event marked the launch of a new 5-year program on the Theory of Atoms, supported by a grant from the Simons Foundation and funding from the Ministry of Education and Science of the Republic of Bulgaria.

Published On: December 19th, 2024Categories: NewsLast Updated: December 19th, 20241.3 min read
Celebrating Women in Mathematics

The Fifth International Conference "Women in Mathematics in South-Eastern Europe" was officially opened, bringing together prominent mathematicians from a variety of fields. The event serves as a platform for fostering collaboration and highlighting the achievements of women in mathematics. The opening ceremony was graced by the presence of the President of the Bulgarian Academy of Sciences, Prof. Evelina Slavcheva. In her opening remarks, Prof. Slavcheva emphasized the essential role of women in advancing science, particularly in the field of mathematics.

Published On: December 13th, 2024Categories: NewsLast Updated: December 13th, 20241.3 min read

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.

Upcoming Events

  • 7 May 2025 @ 16:00 - 17:30 EEST

    Categories: Last Updated: April 23rd, 2025

    Binary quadratic forms are as elementary as they are mysterious—much like prime numbers. In 1997, John Conway introduced topographs, a powerful geometric tool that provides a geometric visualization of binary quadratic forms and their values. These lectures will explore how topographs, combined with telescoping summation techniques, yield elegant formulas — some with intuitive geometric interpretations. For instance, consider the following result:

    Let \[A = \big\{ (x, y) \mid  x,y\in \mathbb{Z}_{\geq 0}^2, \det(x \ \ y) = 1 \big\},\]the set of pairs of lattice vectors in the first quadrant spanning a parallelogram of oriented area 1. Then,\[4 \sum_{(x,y) \in A} \frac{1}{|x|^2 \cdot |y|^2 \cdot |x+y|^2} = \pi.\]

    Lecture Outline

    1. Introduction to Binary Quadratic Forms and Conway’s Topographs
    We will begin with the basics of binary quadratic forms and their classification, followed by an introduction to Conway’s topographs—a visual and geometric framework for understanding them.

    2. Class Number Formula and Summation over Topographs
    Building on the first lecture, we will explore the class number formula and how summation identities arise naturally from the structure of topographs.

    3. Evaluation of Lattice Sums via Telescoping over Topographs
    The final lecture will focus on telescoping techniques, demonstrating how they can be used to evaluate intricate lattice sums—such as the one above—with geometric meaning.

Our esteemed collaborators

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

Special Announcement:

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 director@math.bas.bg.

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

Annual conferences

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 2024 Fall issue of our newsletter is here!

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