Mikhail Gromov

Mikhail Gromov is a Russian-French mathematician known for fundamental contributions to geometry, algebra, and theoretical physics. His work has transformed multiple areas of mathematics, particularly in geometric group theory, symplectic geometry, and metric geometry. Gromov developed several groundbreaking mathematical concepts including the Gromov-Hausdorff distance, Gromov's compactness theorem, and Gromov-Witten invariants. His introduction of h-principle techniques revolutionized the study of partial differential relations and had major implications for symplectic geometry. Beyond his theoretical work, Gromov has made significant contributions to applied mathematics and theoretical biology. He currently holds positions at the Institut des Hautes Études Scientifiques in France and New York University, where he continues his research and mentorship of new mathematicians. Gromov has received numerous prestigious awards including the Wolf Prize in Mathematics (1993), the Kyoto Prize (2002), and the Abel Prize (2009). His major publications include "Partial Differential Relations" (1986) and "Metric Structures for Riemannian and Non-Riemannian Spaces" (1999), which remain foundational texts in their fields.

Unable to provide an accurate summary of reader reviews for Mikhail Gromov, as his works are primarily academic mathematical texts and research papers rather than books that receive typical reader reviews. As a mathematician rather than a traditional author, his publications are evaluated through academic citations and scholarly reviews rather than consumer book reviews. There are very few, if any, public reader reviews or ratings on sites like Goodreads or Amazon for his mathematical works. His most well-known texts like "Partial Differential Relations" and "Metric Structures for Riemannian and Non-Riemannian Spaces" are reviewed mainly in academic journals and mathematical publications rather than by general readers. If you're interested in understanding reception of Gromov's work, looking at academic citations, mathematical journal reviews, and scholarly discussions would be more relevant than general reader reviews.

Metric Structures for Riemannian and Non-Riemannian Spaces (1999) A comprehensive exploration of metric geometry, covering both classical Riemannian geometry and more general metric spaces.

Partial Differential Relations (1986) An examination of differential relations and their applications in geometry and topology, including h-principle methods.

Sign and Geometric Meaning of Curvature (1994) A detailed analysis of various concepts of curvature in differential geometry and their geometric interpretations.

Groups of Polynomial Growth and Expanding Maps (1981) A study of finitely generated groups with polynomial growth and their connections to nilpotent groups and geometry.

Carnot-Carathéodory Spaces Seen From Within (1996) An investigation of sub-Riemannian geometry and Carnot-Carathéodory metrics, including their internal structure and properties.

Three Lectures on Symplectic Geometry (1998) A concise introduction to fundamental concepts in symplectic geometry and related mathematical structures.

Asymptotic Invariants of Infinite Groups (1993) An exploration of geometric and analytic properties of infinite groups, focusing on asymptotic characteristics.