Alexandre Kirillov

Research

Recent books: Lectures on Orbit Method (AMS, 2004)
A Tale of Two Fractals(Russian edition: MCCME, Moscow, 2009; English edition: Birkhäuser; 2013)
Full list of publications (requires subscription to MathSciNet)

Classes

Spring 2014 semester:

MATH509, Advanced Analysis
MATH371, Abstract Algebra

Fall 2013 semester:

MATH508, Advanced Analysis
MATH480/550, Topics in Math (a problem solving course)

Fall 2009 semester:

Math502: Abstract Algebra
Math480/550: Topics in Math (Theory of Fractals)

Fall 2008 semester:

MATH370: Course in Algebra

Spring 2008 semester:

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

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 2007 semester:

MATH561:

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

Fall 2006 semester:

MATH361, Advanced Calculus
MATH560, Coxeter Groups

Some links

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