Department of Mathematics, Technion

Emanuel Milman

 Emanuel Milman


emanuel.milman 'at' or
emilman 'at' 



Postal Address:

Department of Mathematics
Technion - Israel Institute of Technology
Haifa 32000


Amado 630

I am an Associate Professor at the Technion's  Mathematics Department.

My main research interests lie in the various aspects of Asymptotic Convex Geometric Analysis. This is the study of geometric structures satisfying appropriate convexity conditions from a geometric and analytic point of view, with an emphasis on the asymptotic dependence (or independence) of various parameters on the underlying dimension. Examples of such structures include bounded convex domains in Euclidean space Rn, Banach spaces (possibly infinite dimensional), Riemannian manifolds with non-negative (Ricci) curvature, and other generalizations. Since its conception at the intersection of classical Convex Geometry and the local theory of Banach spaces, the field of Asymptotic Convex Geometric Analysis has been evolving constantly, and has uncovered connections to many other fields, such as Probability Theory, PDE, Riemannian Geometry, Harmonic Analysis, Mathematical Physics, Combinatorics, Graph Theory and Learning Theory.

Some of my related research interests include isoperimetric, functional and concentration inequalities, the interplay between geometry and spectral properties of Riemannian manifolds, geometry of isoperimetric minimizing surfaces, Geometric Measure Theory, diffusion semi-group and heat-kernel estimates in convex manifolds, optimal transport, distribution of volume in convex bodies, classical Convex Geometry, “local theory” of Banach Spaces, convexity in graphs, metric entropy and covering numbers, empirical processes, general phenomena in high dimensions, Integral Geometry.

Teaching Winter 2016:

Real Analysis 104165

Previous Advanced Courses Given:

High-Dimensional Convex Geometric Analysis - List of Exercises.
Isoperimetry, Sobolev and Concentration inequalities through the lens of Convexity - List of Exercises.
Convex Bodies in High Dimension  - List of Exercises.
Isoperimetric Inequalities and Applications - List of Exercises.

Preprints and Manuscripts:

Publications (according to topic):

Isoperimetric And Functional Inequalities

Distribution of Volume in Convex Bodies

Contracting Maps

Low-Dimensional Sections of Star Bodies

Covering Numbers and Metric Entropy

Game Theory (M.Sc. Thesis)


Conferences Organized:

Invited Talks:


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