Alexander GIVENTAL that's me

Office: 701 Evans Hall
Phone Number: 510-642-3660
Email address: givental@math.berkeley.edu
Postal Address:
Department of Mathematics
University of California Berkeley
Berkeley, California, 94720
Back to UC Berkeley Math Faculty

Classes

Math 140. Metric Differential Geometry. Spring'05.

Math 53. Multivariable Calculus. Fall'07

Math 214. Differential Manifolds. Fall'07.

Math H113. Introduction to Abstract Algebra. Spring'08.

Math H104. Introduction to Analysis. Fall'08.

Math 123. Ordinary Differential Equations. Fall'08.

K-12

TEHIYAH DAY SCHOOL

The Pythagorean theorem: what is it about?

Singapore vs. California math textbooks

Ignorance at its best

Why Johnny won't be able to count

Homeschooling with Kiselev's Geometry and Gelfand-Shen's Algebra.

Kiselev's Geometry. Book I. Planimetry Kiselev's Geometry. Book II. Stereometry

Sumizdat

Kiselev's Geometry. Book I: Planimetry. Book II Stereometry Published by SUMIZDAT - a publisher that promotes nonsense-free mathematics and science curricula.

This is an English adaptation of a classical textbook in plane geometry which has served well several generations of middle- and high-school students in Russia. Available from Sumizdat , SingaporeMath.com and Amazon.com (Book I) and Amazon.com (Book II)

Please visit Sumizdat Home Page , examine the book, and if you like it, make a link from your website to www.sumizdat.org in order to bring the book closer to students and their teachers.

Arithmetic for Parents

Ron Aharoni, Arithmetic for Parents.
A book for grownups about children's mathematics

Several years ago Ron Aharoni, Technion, accepted his friend's invitation to teach mathematics in elementary school. Since then he devoted much of his time to primary mathematics education.
Aharoni played a major role in a successful fight against "fuzzy math" in his country, and in the implementation of a competent, no-frills curriculum (based on Primary Math from Singapore).
In this book, he shares with the reader -- a parent, or a teacher -- the insights he gained concerning elementary mathematics and mathematical education.
Available from Sumizdat and SingaporeMath.com.

Lecture notes

Linear algebra and differential equations   Published by AMS

Topics in enumerative algebraic geometry   Accessed here (ps and pdf)

Research papers available online (pdf)

Quantum cobordisms and formal group laws (with Tom Coates)
Symplectic geometry of Frobenius structures
Simple singularities and integrable hierarchies (with Todor Milanov)
A_{n-1}-singularities and nKdV hierarchies
Quantum Riemann-Roch, Lefschetz and Serre (with Tom Coates)
Gromov-Witten invariants and quantization of quadratic hamiltonians
Semisimple Frobenius structures at higher genus
Introduction to symplectic field theory (with Yakov Eliashberg and Helmut Hofer)
Quantum K-theory on flag manifolds, finite-difference Toda lattices and quantum groups (with Yuan-Pin Lee)
On the WDVV-equation in quantum K-theory
Singularity theory and symplectic topology
A tutorial on quantum cohomology
Stationary phase integrals, quantum Toda lattices, flag manifolds and the mirror conjecture
The mirror formula for quintic threefolds
Elliptic Gromov-Witten invariants and the generalized mirror conjecture
A mirror theorem for toric complete intersections
Equivariant Gromov-Witten invariants
Homological geometry and mirror symmetry
Homological geometry I. Projective hypersurfaces
Quantum cohomology of flag manifolds and Toda lattices (with Bumsig Kim)
A symplectic fixed point theorem for toric manifolds
Whitney singularities of solutions of partial differential equations