A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating ...

Computational methods are an established tool in algebraic geometry and commutative algebra, the key element being the theory of Gröbner bases. This book represents the state of the art in ...

FrontierMath's performance results, revealed in a preprint research paper, paint a stark picture of current AI model ...

FrontierMath, a new benchmark from Epoch AI, challenges advanced AI systems with complex math problems, revealing how far AI still has to go before achieving true human-level reasoning.

Our faculty and students research all aspects of theoretical computer science, from core areas such as algorithms, complexity, and cryptography, to connections with other fields such as machine ...

I also highly recommend having taken Design and Analysis of Algorithms (COMP_SCI 336). Computational geometry is the study of designing and analyzing algorithms that solve geometric problems. In this ...

The Computational Mechanics and Geometry Laboratory (CMGLab), led by Dr. John A. Evans of the Ann and H.J. Smead Department of Aerospace Engineering Sciences, pioneers new approaches to the modeling, ...

Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Emphasizes model building strategies, analytical and computational methods ... These structures are widespread throughout mathematics, including geometry, topology and algebra, as well as computer ...

Its modern formulations are wide reaching and have close ties to algebraic geometry, analysis, and group theory; together with computational aspects. Perhaps due to the fundamental and profound nature ...

Computational chemistry describes the use of computer modelling and simulation – including ab initio approaches based on quantum chemistry, and empirical approaches – to study the structures ...

Rapid developments in genomic and molecular research + extreme advances in information technologies = a multitude of biological information . . . and the need for experts to compute, process, model, ...