Alexandre Kirillov

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Research

Recent book: Lectures on Orbit Method (AMS, 2004)
New book: A Tale of Two Fractals (in Russian, published by MCCME, Moscow, 2009)
Full list of publications (requires subscription to MathSciNet)

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Classes

Fall 2006 semester:

• MATH361, Advanced Calculus
• MATH560, Coxeter Groups

Spring 2007 semester:
MATH561:

• Lecture 1, Representations of Coxeter Groups
• Lecture 2, The group $S_n$. Basic properties
• Lecture 3, The group $C_n$.

Fall 2007 semester:
MATH548: Spectral Theorem

• Lecture 1, FUNCTIONS OF AN OPERATOR ARGUMENT
• Lecture 2, OPERATORS IN HILBERT SPACE

MATH480: Analysis and geometry of fractals
Draft version of my book A tale of two fractals.

Spring 2008 semester:
MATH480/550: Topics in modern mathematics: What are numbers? PDF file of my book What are numbers? (abridged translation from Russian)

Part I

Part II

Fall 2008 semester:
MATH370: Course in Algebra

Introduction and Problems

Algebra Zoo

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Some links

• Archive of mathematical papers at LANL (formerly xxx)
• My students as listed in math genealogy project
• Some photos of myself and friends

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