Institute for Advanced Mathematical Sciences

Executive Summary — Research Terminal (IAMS-CORE.v3) This is an executive summary of the Research Terminal application (IAMS-CORE.v3), developed for exclusive operation within the Google App Creation Environment. What Does the Paper Generator Do? The Paper Architect is an advanced engine of intellectual synthesis that generates monumental mathematical monographs in LaTeX format. It does not merely write text—it constructs dense, ultra-rigorous logical architectures that fuse cutting-edge theoretical mathematics with speculative science fiction scenarios (Post-Singularity, Trans-Finite, and Multiversal). Extreme Academic Rigor: Produces 12–15 page documents with a high visual density of equations, matrices, and formal proofs. Terminological Diversity: Employs complex concepts such as Étale Motives, Grothendieck Topoi, and Langlands Correspondences, while avoiding repetitive terminology. Levels of Formalism: Allows users to select the depth of proof (Standard, Rigorous, or Trans-Finite), dynamically adjusting the AI’s thinking budget. Ready-to-Use Export: Generates fully compilable LaTeX code, complete with technical bibliographies and cross-references integrated through Google Search. IAMS Identity: Fully customized for the Institute for Advanced Mathematical Sciences (IAMS) under the supervision of engineer Paulo Sérgio de Andrade. Why Use It in the Google App Creator? This environment is uniquely capable of orchestrating the low-level integrations required for such a tool: Gemini 3 Pro Power: The App Creator provides direct access to the gemini-3-pro-preview model, enabling the use of Thinking Config (with reasoning budgets up to 32k tokens) to deduce complex theorems prior to code generation. Security and ORCID Integration: Automatically manages credentials and maintains the secure environment required for the IAMS protocol. Real-Time Grounding: Uses Google’s live search capabilities to ground mathematical speculations in real and recent academic publications. Agile Development: Allows interface engineers to refine both the “Classified” visual aesthetic and real-time rendering performance. Conclusion This application transforms the Google App Creator into a theoretical research laboratory, enabling any speculative scientific idea to be formalized with the rigor worthy of a Fields Medal.