Top Mathematics discussions
NishMath - #multiple
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Mohamed Abdel-Kareem@Quantum Computing Report
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Recent advances in quantum computing pose a significant threat to current cryptographic systems, necessitating the development and deployment of post-quantum cryptography (PQC). Quantum computers, leveraging quantum mechanics, can perform certain calculations exponentially faster than classical computers. This capability undermines the security of widely used public key cryptography algorithms like RSA and Elliptic Curve Cryptography (ECC), which rely on the difficulty of factoring large numbers and finding discrete logarithms. Mathematician Peter Shor's algorithm demonstrated that quantum computers could break RSA encryption, spurring interest in quantum-resistant cryptography. While symmetric key algorithms like AES and hash functions are considered more robust, the vulnerability of public key cryptography demands immediate attention and transition to PQC solutions.
The Bitcoin ecosystem is actively exploring the integration of post-quantum cryptographic solutions to safeguard against potential quantum attacks. Blockstream is seeking an Applied Cryptographer to research, evaluate, and implement PQC tailored for Bitcoin's unique challenges. This includes adapting state-of-the-art PQC research to the Bitcoin domain, exploring features relevant for Bitcoin such as threshold signatures, signature aggregation, Taproot tweaking, silent payments, and HD wallets. The focus is on analyzing the implications of integrating post-quantum schemes into Bitcoin and contributing to Bitcoin Improvement Proposals (BIPs) to standardize cryptography for use in Bitcoin. In related news, Heriot-Watt University has launched a £2.5 million Optical Ground Station (HOGS) to advance satellite-based quantum-secure communication. This facility will enable quantum key distribution (QKD) experiments with satellites, contributing to the development of a quantum-secure internet. Furthermore, U.S. Congress is considering the "Quantum Sandbox for Near-Term Applications Act" to promote the commercial advancement of quantum technology through public-private partnerships. Simultaneously, research is underway to enhance telehealth cybersecurity by integrating PQC with QKD and privacy-preserving mechanisms, ensuring data confidentiality and immutability for patient records in a post-quantum era.
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Sophia Wood@Fractal Kitty
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The 238th Carnival of Mathematics is now available online at Fractal Kitty, rounding up math blog posts from March 2025. This edition, organized by Aperiodical, features a variety of math art and explores interesting facts about the number 238, including that it is 2 × 7 × 17, the sum of the first 13 primes, and a "triprime." The Mathstodon community contributed fun facts about 238, such as its relation to Uranium-238 and its representation in hexadecimal as "EE."
The carnival includes a variety of blog posts and activities from around the mathematical community. Peter Cameron shared thoughts on Compactness, Memories of CFSG, and defending research against government censorship, while other posts covered topics like polyominoes, a modern presentation of Peano Axioms, and the Monty Hall Problem. Karen Campe continued her visual Go For Geometry Series, and Amédée d’Aboville explored Group Theory With Zoombinis. These diverse topics showcase the breadth of interests and engagement within the math world. Beyond traditional blog posts, the carnival highlights creative endeavors like Ayliean's #MathArtMarch, which showcased crochet, coding, painting, and other artistic expressions inspired by mathematics. There's also discussion happening on platforms like Mathstodon, with Terence Tao sharing insights on dynamical systems and the complexities of linear versus nonlinear regimes. Pat's Blog delves into geometry, discussing properties of rhombuses and extensions of concurrency theorems, demonstrating the vibrant and varied nature of mathematical discussions and explorations.
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@x.com
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The integration of Artificial Intelligence (AI) into coding practices is rapidly transforming software development, with engineers increasingly leveraging AI to generate code based on intuitive "vibes." Inspired by the approach of Andrej Karpathy, developers like Naik and Touleyrou are using AI to accelerate their projects, creating applications and prototypes with minimal prior programming knowledge. This emerging trend, known as "vibe coding," streamlines the development process and democratizes access to software creation.
Open-source AI is playing a crucial role in these advancements, particularly among younger developers who are quick to embrace new technologies. A recent Stack Overflow survey of over 1,000 developers and technologists reveals a strong preference for open-source AI, driven by a belief in transparency and community collaboration. While experienced developers recognize the benefits of open-source due to their existing knowledge, younger developers are leading the way in experimenting with these emerging technologies, fostering trust and accelerating the adoption of open-source AI tools. To further enhance the capabilities and reliability of AI models, particularly in complex reasoning tasks, Microsoft researchers have introduced inference-time scaling techniques. In addition, Amazon Bedrock Evaluations now offers enhanced capabilities to evaluate Retrieval Augmented Generation (RAG) systems and models, providing developers with tools to assess the performance of their AI applications. The introduction of "bring your own inference responses" allows for the evaluation of RAG systems and models regardless of their deployment environment, while new citation metrics offer deeper insights into the accuracy and relevance of retrieved information.
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Blogs
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