Artificial General Intelligence: Mathematical Foundations
Cambridge University Press, 2025 (In Progress)
www.agibook.orgAdvancing mathematical foundations and implementation of artificial general intelligence
Developing mathematical foundations for safe AGI systems with superhuman-level reasoning across domains.
AI that delivers formal, verifiable proofs for solving IMO problems and university-level mathematics, and collaborates with Mathematicians on open problems.
Research on autonomously evolving AI systems that continuously improve themselves without losing alignment.
Accelerating scientific research through automated hypothesis generation and experimentation.
Systems that learn to learn, rapidly adapting to new domains with minimal data while retaining prior knowledge.
Transforming education by personalized learning systems with human oversight.
Developing and understanding human-AI interaction and collaboration workflows and their economic intelligence.
Cambridge University Press, 2025 (In Progress)
www.agibook.orgSubmitted, 2025
Towards the Habitable Worlds Observatory: Visionary Science and Transformational Technology, 2025
IEEE International Conference on Automatic Face and Gesture Recognition, 2025
Submitted, 2025
Journal of the Association for Information Systems 25 (1), 98-109, 2024
ACM Conference on Knowledge Discovery and Data Mining (KDD), 2023
Proceedings of the National Academy of Sciences (PNAS), 2022
Summer 2023, Fall 2023, Spring 2024, Summer 2024, Fall 2024, Spring 2025, Fall 2025
(🎓 4+/5 formal evals mean)
Fall 2017, Spring 2018, Fall 2018, Spring 2019, Summer 2019, Fall 2019, Spring 2020, Summer 2021, Spring 2022, Summer 2022, Fall 2022, Summer 2023, Fall 2023, Spring 2024, Summer 2024, Fall 2024, Spring 2025
(🎓 4+/5 formal evals mean)
Fall 2022, Spring 2023, Summer 2023, Fall 2023, Spring 2024, Summer 2024, Fall 2024, Spring 2025
(🎓 4/5 formal evals mean)
Fall 2018, Fall 2020, Spring 2021, Spring 2022, Spring 2023, Fall 2023, Spring 2024
(🎓 4/5 and 5+/7 formal evals mean)
Fall 2022
(🎓 6/7 formal eval)
Spring 2017, Spring 2018, Spring 2019
(NA)
Spring 2016, Summer 2016, Spring 2017
(NA)
Fall 2016, Spring 2017
(🏅 highest formal evals)
Fall 2017, Fall 2025
(NA)
IMO 2025, Sunshine Coast, Australia
Visualizations: P6 answer, Erdős–Szekeres bound and intersection property
HHMI Janelia Research Campus
JPMorgan Chase
NVIDIA
YPO/Harvard Presidents' Program, hosted by SUNY
Yeshiva University, University of Tennessee Knoxville, University of Birmingham
MIT Faculty Seminar, Columbia University Senate
MIT-CalTech-UPenn-Stanford NeuroSym Seminar
MIT τβπ, Da Vinci Lecture