| As the world moves closer to the era of quantum computing, the field of cryptography faces new challenges. Post-quantum cryptography is emerging as a vital area of study, focusing on cryptographic systems that can withstand the computational power of quantum computers. This june, BCAM hosted a summer school, framed within the Severo Ochoa course programme aimed at introducing participants to several of the leading post-quantum Public Key Cryptosystems, Signature schemes, and their cryptoanalysis. The program is targeted at Ph.D., Master's, final-year undergraduate students and postdoctoral researchers. The summer school began with foundational courses on cryptography, providing participants with essential background knowledge, and then, delved into the core subjects of post-quantum cryptography, offering an in-depth understanding of lattice-based cryptosystems, coding theory, multivariate cryptography, and more. One of the distinguished speakers of the event is Jintai Ding, a renowned expert in post-quantum cryptography, and a researcher Ikerbasque Visiting Research Professor at BCAM and Professor at Xi'an Jiaotong-Liverpool University. Ding is known for his contributions to lattice-based cryptography, which is one of the key areas of post-quantum cryptosystems. |
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| Jintai Ding (Dean of the School of Mathematics and Physics, Xi'an Jiaotong-Liverpool University & Ikerbasque Visiting Research Professor at BCAM) delivered the opening keynote speech, entitled “Post-Quantum Cryptography, a new era”, in the CyberIndustry Congress 2025, organized by TECNALIA Research & Innovation and Bizkaia Enpresa Digitala. Ding opened the congress with an insightful presentation on the latest trends and developments in the field of cybersecurity, particularly focusing on the implications of quantum computing on cryptography. His expertise in post-quantum cryptography made him a key figure at this prestigious event, highlighting the growing importance of preparing for the quantum revolution in the cybersecurity landscape. Azkuna Zentroa hosted this event, which aims to become the annual meeting point of reference in the Basque Country for the entire cybersecurity value chain. There, specialised technology was be connected with the specific demands of key strategic sectors for the Basque economy, such as Industry, Energy, Health and the emerging Aerospace sector. |
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| Lorenzo Nagar is PhD Student at BCAM since January 2021 (former Research Technician 07/01/20 - 31/12/20) in the group "Modelling and Simulation in Life and Material Sciences". He obtained the La Caixa - INPhINIT 2020 fellowship joining the project "Optimising performance of Hamiltonian Monte Carlo (HMC) in molecular simulation and computational statistics", supervised by Prof. Akhmatskaya (MSLMS group) and Prof. Sanz-Serna (Universidad Carlo III de Madrid). His research interest concerns the study of dynamical systems and the development and improvement of numerical methods for mathematical models. He is working on the improvement of the Hybrid/Hamiltonian Monte Carlo methods (HMC) and its Generalized version (GHMC) applied to molecular simulation and statistics, focusing on the adaptive multi-stage integration schemes. Nagar obtained the Master's degree in Mathematics at Universitá degli Studi di Napoli "Federico II" in 2019 and the Bachelor's degree in Mathematics in 2016 at the same institution. |
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| Mario Martinez has been a PhD student at BCAM since June 2021, working within the Machine Learning group. His research is focused on advancing artificial intelligence in clinical contexts, particularly through learning using privileged information (LUPI). He explores techniques such as knowledge distillation and multi-task learning to enhance supervised classification. Martinez obtained a BSc in Physics from the University of Murcia in 2019 and an MSc in Data Science from the Open University of Catalonia in 2021. His thesis, titled Advances in learning using privileged information for supervised classification is under the supervision of Dr. Jose A. Lozano (Scientific Director of BCAM) and Dr. Iñaki Inza (EHU). |
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Research area: Mathematical Physics Research line: Singularity Theory and Algebraic Geometry |
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Fernández de Bobadilla, J. ; Pelka, T. Symplectic monodromy at radius 0 and equimultiplicity of families with constant Milnor number Annals of Mathematics 200(1): 153-299 (2024). The Zariski multiplicity conjecture is one of the major open problems in Singularity Theory. Its family version for constant Milnor number families has a prominent independent status, investigated independently of the general case, staring by Teissier works in equisingularity in the late 60’s and 70’s among others. The result proved in this paper is precisely the Zariski multiplicity conjecture for constant Milnor number families. Besides the result the most important aspect of the paper are the new techniques introduced for its solution. The technique combines ideas of hybrid geometry (complex, tropical and log-geometry) and ideas of symplectic geometry to endow the classical A’Campo space of a normal crossing degeneration with a symplectic structure that exhibits a symplectic monodromy with very special dynamical properties, and is symplectically isotopic to the monodromy of the Milnor fibration in the tube. Combining a slight generalization a spectral sequence converging to fixed point Floer homology, due to McLean (M. McLean, Floer Cohomology, Multiplicity and the Log Canonical Threshold. Geometry & Topology. 23 (2019), no. 2, 957-1056), with a classical argument of Lê and Ramanujam the authors establish the constancy of multiplicity in a family with constant Milnor number Read the pape here |
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BCAM was part of DON'T MISS THE POST BCAM HAS WRITTEN FOR THE HORIZON EUROPE PROJECT TANGO'S BLOG The article is signed by Ainhize Barrainkua Agirre (PhD student at BCAM) and Novi Quadrianto (PI of this proyect) under the title 'Can we achieve fairness in AI without knowing people’s group identities? With SPECTRE, the answer is a resounding yes' In this thought-provoking blog, the BCAM team introduces SPECTRE, a novel approach that boosts fairness in AI systems without relying on sensitive demographic data like race, gender, or age. BCAM PARTICIPATED IN THE SOMMa ALLIANCE PROJECT MANAGERS MEETING IN DONOSTIA Miguel Benítez (BCAM's Projects Office) and Ana López (People Care & Talent Attraction) participated in the SOMM Alliance Project Managers Meetings in Donosti with a talk on coordination between project management and talent attraction in ATRAE, Ikerbasque, RYC and ERC grants. BCAM WAS PART OF INNOBASQUE'S GENERAL ASSEMBLY Jose Antonio Lozano, scientific director of BCAM, participated in the General Assembly of Innobasque - Basque Innovation Agency to highlight this space as a benchmark for innovation in the Basque Country. BCAM participates as a partner entity of Innobasque. |
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Information on the website (SGP 2025) 30 June, 2025 - 4 July, 2025 Bizkaia Aretoa |
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David Pardo (Scientific Program Coordinator) and Josep Soler (from Projects Office) 1 July, 2025 11:00 Maryam Mirzakhani Seminar room and online (link) |
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Information on the website (link) 3-5 September, 2025 Maryam Mirzakhani Seminar Room |
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