We use advanced mathematics to unify the study of intelligence in brains and machines.
We build efficient AI models that succeed where others fail. We deliver up to +66% higher accuracy or the same accuracy with 10× faster models, even when datasets are small, noisy, and complex —such as networks and 3D shapes.
We provide new perspectives in neuroscience, revealing the mathematics that let our brains explore the world, store memories, and master new skills.
Geometric Intelligence Research
Just as physicists uses geometry to build unification theories, we show that brain and machine intelligences can be studied under a common framework: geometric intelligence.
The idea is that data has structure and this structure has power. It helps us redesign the building blocks of AI models to improve their efficiency. It helps us understand how brains compute so effectively.
Geometric Intelligence in Machines
We study the properties of top-performing AI models and design mathematical approaches to improve them. Learn more.
Geometric Intelligence in Brains
We study patterns of neural activity across diverse cognitive functions—from navigation and memory to vision. Learn more.
Building Brain Digital Twins
We use AI models to build digital twins of the brain, simulating its function in both health and disease. Learn more.
Latest News
Dr. Fatih Dinc Receives Prestigious 2026 SIAM Richard C. DiPrima Prize
We are absolutely thrilled to announce that our very own Dr. Fatih Dinc has been named the recipient of the 2026 Richard C. DiPrima Prize by the Society for Industrial and Applied Mathematics (SIAM). This highly competitive international award is issue only once every two years to a single early-career researcher. It recognizes the most outstanding doctoral dissertation in the field of applied mathematics, highlighting research that demonstrates mathematics rigor and practical implications.
Our Research on Brain Sex Differences is Featured in Nature
Our research, titled "The progression of sex differences in brain networks across the lifespan," reveals that while boys and girls start with remarkably similar brain structures, a profound divergence occurs during the onset of puberty – shaping the brain's functional and structural networks well into adulthood.
Read MoreOur Research on Brain Sex Differences is Featured in Nature
UCSB Ranks #1 Among U.S. Public Universities for Scientific Impact
UCSB has once again solidified its status as a global powerhouse in engineering and the physical sciences, ranking as the #1 public university in the U.S. for scientific impact according to the 2025 Leiden Rankings (Open Edition). Released by the Centre for Science and Technology Studies (CWTS) at Leiden University, the analysis placed UCSB 7th worldwide and 3rd among all U.S. institutions, trailing only MIT and Harvard in engineering and physical sciences category.
Read MoreUCSB Ranks #1 Among U.S. Public Universities for Scientific Impact