### Fields authors

Two Fields Medalists are represented in the books arriving today:

Algebraic Geometry and Number Theory: In Honor of Vladimir Drinfeldâ€™s 50th Birthday, edited by Victor Ginzburg. Progress in mathematics v. 253. Boston: BirkhÃ¤user, 2006. Mathematics Library QA564 .A365 2006 Link to MnCat Record

Drinfeld was awarded the Fields Medal in 1990 for his crucial geometric insights into the "Langlands Program," in particular his proof of the Langlands conjecture in the special case of the group GL_{2} over function fields, and for his outstanding contributions to quantum groups. Contributors to this festschrift include his advisor, Yu. I. Manin ("Iterated integrals of modular forms and noncommutative modular symbols").

And from Terence Tao, awarded a Fields Medal in 2006 "for his contributions to partial differential equations, combinatorics, harmonic analysis and additive number theory":

Additive Combinatorics, by Terence Tao and Van Vu. New York: Cambridge University Press, 2006. Mathematics Library QA164 .T36 2006 Link to MnCat Record

Contents: 1. The probabilistic method; 2. Sum set estimates; 3. Additive geometry; 4. Fourier analytic methods; 5. Inverse sumset theorems; 6. Graph theoretic methods; 7. The Littlewood-Offord problem; 8. Incidence geometry; 9. Algebraic methods; 10. SzemerÃ©di's theorem for k = 3; 11. SzemerÃ©di's theorem for k > 3; 12. Long arithmetic progressions in sumsets

See Tao's Books page for some â€œdeleted scenes:â€? Arithmetic Ramsey Theory, Mengerâ€™s theorem, Santaloâ€™s inequality, Entropy sumset estimates.