Mathematics & IT consulting · Dublin, Ireland

Where Discrete Mathematics meets real-world problems

bgm-Consulting brings PhD+ level expertise in Applied Algebra, Discrete Mathematics and Combinatorics, and Information Technology to industry and research partners worldwide.

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Areas of expertise

Applicable Algebra & Mathematics of Communications

Error-correction, algorithms, codes over general alphabets, algebraic constructions, distance analysis

Finite Fields & Applied Cryptography

Boolean functions, APN functions, bent functions, symmetric cryptosystem analysis

Applied Combinatorics & Design Theory

Combinatorial designs, group testing, transversal designs, ECGT applications in MedTech

Foundations & Applications in Mobile Communications

Algebraic number theory, space-time codes, network coding

Applications of Discrete Structures in Engineering & Sciences

Sequence design, spectroscopic methods in nuclear magnetic resonance (NMR)

The team

Carl Bracken

PhD · Co-Founder

A leading authority in Algebra and Combinatorics of Finite Fields, Coding, and Cryptography. Foundational research on APN functions, bent functions, and their use in symmetric cryptography. Former senior research fellow, Nanyang Technological University. 750+ citations.

Marcus Greferath

PhD/Habilitation · Co-Founder

An internationally leading figure in algebraic coding theory. His work spans codes over rings and semifields, error-correcting group testing, and sequence design for applications in engineering and the sciences. Holder of two international patents. 1,400+ citations.

Nadya Markin

PhD · Co-Founder

Internationally renowned expert in algebraic number theory and information theory. Her results on space-time codes, network coding, and rank inequalities are now standard references in the field. Former researcher, Nanyang Technological University. 510+ citations.

What we offer

Independent technical review We check whether an error-correction or security-critical system really works as claimed — for investors before a deal, or for your own team before launch

Algorithm analysis We analyze and stress-test algorithms or technical proposals from industry partners — for correctness, efficiency, and fit to the problem at hand

Expert advisory Scientific review and expert witness services in Applicable Mathematics and Information Technology

Research collaboration Joint R&D with industry labs, technology transfer, and grant-supported partnerships