Log In
Sign Up
Romania
Citizenship:
Ph.D. degree award:
2004
Bogdan
Ichim
Dr.
Associate Professor
-
UNIVERSITATEA BUCURESTI
Researcher | Teaching staff | Consultant
Personal public profile link.
Curriculum Vitae (21/02/2024)
Expertise & keywords
Combinatorics
Voting Theory
Operations research and mathematical programming
Data science
Machine learning
Algorithms
High performance computing
Algebra
Optimisation
Decision theory
Microeconomics
Projects
Publications & Patents
Entrepreneurship
Reviewer section
Pivotal fusion categories: character theory and Galois symmetries
Call name:
P 4 - Proiecte de Cercetare Exploratorie, 2020
PN-III-P4-ID-PCE-2020-0878
2021
-
2023
Role in this project:
Coordinating institution:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE
Project partners:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Affiliation:
Project website:
https://sites.google.com/view/tensorcategories2021/home
Abstract:
The goal of this project is to study the structure of fusion categories and semisimple Hopf algebras with a special attention to braided fusion categories.
In the first part of the project we will try to transfer some results from the character theory of semisimple Hopf algebras to pivotal fusion categories. In order to do this we will use the character theory for pivotal fusion categories recently developed by Shimizu. We will also generalize the notion of a kernel of a simple object and explore its connections with etale subalgebras of the adjoint subalgebra. The notion of classes of characters will be introduced relative to a fusion subcategory of a pivotal fusion category, similarly to the classes given recently by Bantay for modular tensor categories.
The second part of the project studies the Galois group determined by the character table of a fusion category together with its action on simple objects. Conjugacy classes for fusion categories were also recently introduced by Shimizu. The multiplication of two conjugacy class sums determines some constants that give new information on the structure of the fusion category.
The third part of the project studies Müger's centralizer for braided fusion categories. Connections between the Fourier transform, conjugacy classes and
the Müger centralizer of a braided fusion category, as previously developed by the project leader in the settings of modular categories will also be explored.
Read more
ADVANCED SECURITY MECHANISMS FOR AUTONOMOUS SYSTEMS
Call name:
P 2 - SP 2.1 - Proiect de transfer la operatorul economic
PN-III-P2-2.1-PTE-2019-0817
2020
-
2022
Role in this project:
Coordinating institution:
CERTSIGN SA
Project partners:
CERTSIGN SA (RO); UNIVERSITATEA BUCURESTI (RO); Academia Tehnică Militară „FERDINAND I” (RO)
Affiliation:
UNIVERSITATEA BUCURESTI (RO)
Project website:
https://www.certsign.ro/ro/massa
Abstract:
The purpose of MASSA is to develop new security systems that provide the technological level to enable smart autonomous devices to communicate in a secure manner while maintaining the authenticity, integrity and confidentiality of messages and information exchanged.
In recent years, especially in the USA and at EU level, there have been several regulatory measures regarding intelligent transport systems. The US has defined the IEEE 1609.2 standard. In the EU, ETSI has laid down a security framework based on several standards and specifications for intelligent transport systems.
As a first objective we aim at developing, implementing and validating a PKI (TRL5) system, scalable and flexible, for intelligent transport systems in order to authorize the access of vehicles to various infrastructure services and to secure V2X communications.
The second objective of the project is to achieve the technical components necessary for the extension of the proposed PKI service to be compatible with two other categories of autonomous systems:
- Autonomous drone systems. The purpose is to propose a viable technical solution to secure the communication protocols used for drones.
- Intelligent systems based on IoT sensors used in home appliances that are now the subject of concrete implementations in smart home architectures.
The third objective of the project is to use of data science for transportation planning and traffic optimization.
- We will study optimal ways of placing sensors in the infrastructure to identify bottlenecks.
- We will implement We will apply vehicle synchronization techniques to achieve a common goal (in our case, to reduce traffic congestion).
- We will investigate the possibility of using the methods derived from decision theory and social choices to obtain an automatic and complex traffic management system.
Read more
Hopf algebras, representations and tensor categories
Call name:
P 4 - Proiecte de Cercetare Exploratorie
PN-III-P4-ID-PCE-2016-0157
2017
-
2019
Role in this project:
Key expert
Coordinating institution:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE
Project partners:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Affiliation:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Project website:
https://sites.google.com/view/hopf-algebras-representations/home
Abstract:
The goal of this project is to study the structure and representations Hopf algebra and modular tensor categories. It is commonly believed that semisimple Hopf algebras are a generalization of semsimple finite group algebras. From this point of view, recently, several interesting results from finite group representations were transferred to Hopf algebras. This project follows this main direction of research and it is a natural continuation of the study conducted by the project leader in his previous projects. This proposal consists of three parts. The first part of the project studies the actions of finite groups on tensor categories. Notions of vertices and source for objects of equivariantized tensor categories will be introduced. With these notions it is expected that a similar representation theory to the modular representations theory of finite groups to be developed. The second part of the project studies Müger's centralizer for the categories of representations of a semisimple Drinfeld double. Also in this part we will study the arithmetic properties of modular tensor categories in order to classify such categories with a small number of simple objects. Character theory for tensor categories was recently introduced by Shimizu. In the third part of the project we will try to transfer some results from the character theory of semisimple Hopf algebras to fusion categories. We will also try to extend the Clifford type theory developed earlier by the project leader from normal Hopf subalgebras to normal left coideal subalgebras. We will also generalize the notion of a kernel of a simple object from fusion categories to arbitrary tensor categories. We do this in order to be able to obtain a more general version of Brauer's theorem in this context.
Read more
Mobilitate cercetător Bogdan Ichim
Call name:
P 1 - SP 1.1 - Proiecte de mobilitate pentru cercetatori, 2019
PN-III-P1-1.1-MC-2019-0297
2019
-
2019
Role in this project:
Coordinating institution:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE
Project partners:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Affiliation:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Project website:
Abstract:
Read more
Algorithmic and theoretical methods for studying monomial and binomial ideals with applications in combinatorics,commutative algebra and graph theory
Call name:
Exploratory Research Projects - PCE-2011 call
PN-II-ID-PCE-2011-3-1023
2012
-
2016
Role in this project:
Key expert
Coordinating institution:
Institutul de Matematica "Simion Stoilow" al Academiei Romane
Project partners:
Institutul de Matematica "Simion Stoilow" al Academiei Romane (RO)
Affiliation:
Project website:
http://unibuc.ro/~dstamate/grantPCE-2011-3-1023/indexDP.html
Abstract:
The proposed project investigates fundamental questions in commutative algebra for which computational and combinatorial approaches are very fruitful. Our aim is to study the interplay between combinatorial and algebraic objects, focusing moreover on the subject of monomial and binomial ideals. Monomial and binomials ideals are among the simplest structures in commutative algebra, but they are very important objects in combinatorical and computational algebra. As an example, by using Gröbner basis theory one can solve complex problems by means of monomial ideals. Other applications can be found in coding theory, cryptography and algebraic statistics. The research of monomial and binomials ideals is of utmost importance in nowadays mathematics, with constantly new and often surprising developments.
Read more
ALGEBRAIC STUDY OF SOME COMBINATORIAL PROBLEMS AND ASSOCIATED COMPUTATIONAL EXPERIMENTS
Call name:
Projects for Young Research Teams - TE-2012 call
PN-II-RU-TE-2012-3-0161
2013
-
2016
Role in this project:
Coordinating institution:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE
Project partners:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Affiliation:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Project website:
https://dl.dropboxusercontent.com/s/lb9znyg9ov2gtkn/ASSCPACE.htm
Abstract:
The purpose of this proposal is to build up a team in the field of commutative algebra with emphasize on its applications to combinatorics and the development of computer algebra algorithms and software. We want to develop new theoretical and algorithmic methods for studying important topics in the present research and to implement new mathematical software in order to experiment with them.
The proposal is based on the interaction between mathematics and computer science, which has generated in the last years many fundamental results. Modern mathematics and, in particular, commutative algebra and combinatorics, substantially benefit from the development of new algorithms and the use of mathematical software.
The main subject of this proposal is to investigate the structure of the multigraded Hilbert series associated to finitely generated multigraded modules. Some particular themes which we intend to study are:
- The multigraded Hilbert depth and the relation with Stanley depth,
- Multigraded Boij–Söderberg theory and Hilbert series,
- Algorithms and software for Hilbert series, Hilbert depth and Stanley depth.
Finally, we intend to search to find further applications of the new developed methods in the fields of commutative algebra, combinatorics, combinatorial optimization, algebraic geometry and algebraic statistics.
Read more
Algebraic Modelling of Some Combinatorial Objects and Computational Applications
Call name:
Projects for Young Research Teams - TE-2010 call
PN-II-RU-TE-2010-0046
2010
-
2013
Role in this project:
Key expert
Coordinating institution:
UNIVERSITATEA DIN BUCURESTI
Project partners:
UNIVERSITATEA DIN BUCURESTI (RO)
Affiliation:
UNIVERSITATEA DIN BUCURESTI (RO)
Project website:
http://gta.math.unibuc.ro/pages/mv/em.htm
Abstract:
THE PURPOSE OF THIS PROJECT IS TO BUILD UP A TEAM OF YOUNG RESEARCHERS IN THE FIELD OF COMMUTATIVE ALGEBRA WITH EMPHASIZE ON ITS APPLICATIONS TO COMBINATORICS AND COMPUTER ALGEBRA. WE WANT TO DEVELOP NEW THEORETICAL AND ALGORITHMIC METHODS FOR STUDYING HOT TOPICS IN THE PRESENT RESEARCH. THE MEMBERS OF THIS TEAM WILL PUBLISH THE THEORETICAL RESULTS IN SPECIALIZED JOURNALS AND THEY WILL DEVELOP NEW MATHEMATICAL SOFTWARE IN ORDER TO APPLY THEM. THE PROJECT IS BASED ON THE INTERACTION BETWEEN MATHEMATICS AND COMPUTER SCIENCE, WHICH GENERATED IN THE LAST YEARS IMPORTANT RESULTS. MODERN MATHEMATICS AND, IN PARTICULAR, COMMUTATIVE ALGEBRA AND COMBINATORICS SUBSTANTIALLY BENEFIT FROM THE DEVELOPMENT OF NEW ALGORITHMS AND THE USE OF MATHEMATICAL SOFTWARE.
Read more
project title
Call name:
P 1 - SP 1.1 - Proiecte de mobilitate pentru cercetatori
PN-III-P1-1.1-MC-2018-0339
2018
-
Role in this project:
Project coordinator
Coordinating institution:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE
Project partners:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Affiliation:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Project website:
Abstract:
Read more
project title
Call name:
P 1 - SP 1.1 - Proiecte de mobilitate pentru cercetatori
PN-III-P1-1.1-MC-2017-0194
2017
-
Role in this project:
Coordinating institution:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE
Project partners:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Affiliation:
INSTITUTUL DE MATEMATICA "SIMION STOILOW" AL ACADEMIEI ROMANE (RO)
Project website:
Abstract:
Read more
FILE DESCRIPTION
DOCUMENT
List of research grants as project coordinator
Download (58.71 kb) 22/04/2015
List of research grants as partner team leader
List of research grants as project coordinator or partner team leader
Significant R&D projects for enterprises, as project manager
R&D activities in enterprises
Peer-review activity for international programs/projects
[T: 0.4983, O: 257]