NEXUS is a production-grade, full-text and semantic search engine built from scratch, implementing advanced data structures and distributed systems concepts. It focuses on probabilistic optimization, sub-millisecond latency, and hybrid AI-powered search. The project demonstrates core technologies like LSM Trees, Bloom Filters, HNSW Graphs, and W-TinyLFU caches, integrated into a high-performance pipeline. It also includes a LeetCode algorithm library with implementations of classic interview patterns and provides insights into distributed crawling and persistent storage.