## DORIAN GOLDFELD

Professor

Mathematics Building, Room 422

Columbia University

New York, NY 10027(212) 854-4304

Telephone:

Fax:(212) 854-8962

e-mail:goldfeld@columbia.edu

Research Interests:Number Theory curriculum vitae

Some Preprints: (pdf files)A standard zero free region for Rankin-Selberg L-functions (with X. Li)

On the determination of the Plancherel measure for Lebedev-Whittaker transforms on GL(n)

(with A. Kontorovich)

Fourier expansions of GL(2) newforms at various cusps

(with J. Hundley and M. Lee)

Natural boundaries and the correct notion of integral moments of L-functions

(with A. Diaconu and P. Garrett)

Moments for L-functions for GL(r) x GL(r-1) (with A. Diaconu and P. Garrett)

A converse theorem for double Dirichlet series (with N. Diamantis)

Voronoi Formulas on GL(n) (with X. Li)

Second Moments of GL(2) L-Functions (with A. Diaconu)

Counting Congruence Subgroups (with A. Lubotzky and L. Pyber)

Multiple Dirichlet Series and Moments of Zeta and L-Functions

(with A. Diaconu and J. Hoffstein)

Modular Forms, Elliptic Curves, and the ABC Conjecture

The Gauss Class Number problem for Imaginary Quadratic Fields

The Elementary proof of the Prime Number Theorem, An Historical Perspective

BOOKS:

Automorphic Representations and L-Functions for the General Linear Group, Volume 1

Automorphic Representations and L-Functions for the General Linear Group, Volume 2

Automorphic Forms and L-Functions for the Group GL(n,R)

Blog with corrections of Errors in the above books

Links:

(Goldfeld Conference photos)

Joint COLUMBIA-CUNY-NYU Number Theory Seminar

Bretton Woods Workshop on Multiple Dirichlet Series(2005) (Conference photos)

AAG key exchange

Edinburgh Workshop on Multiple Dirichlet Series(2008)

Decision Regarding World Record Musky Challenge

My Daughter's art work (including my portrait above)

Some Interesting Chemistry

Very accurate clock

TEACHING, SPRING 2015

Mathematics W4007, ANALYTIC NUMBER THEORY

TR 2:40am-3:55pm Location: Room 528 Mathematics Building

Textbooks: Multiplicative Number Theory (Harold Davenport)

A Course in Arithmetic (J.P. Serre)

TA: Joćo Guerreiro

e-mail:guerreiro@math.columbia.edu

Help Room Hours:1 - 4 p.m. on Mondays (Room 406 Math Building)

HOMEWORK:

Homework #1 (due Thursday, Feb. 12)

Homework #2 (due Thursday, Feb. 26)

Homework #3 (due Thursday, March 12)

Homework #4 (due Thursday, April 16)

FINAL EXAM (due 12:00 noon, Sunday, May 3)

RESEARCH SEMINAR-NUMBER THEORY

Location: 528 Mathematics Building

TUESDAY 11:40a.m. - 12:55p.m.

Feb. 3: Ali Altuğ(A brief introduction to functoriality and beyond endoscopy)Feb. 10: Ali Altuğ

(A brief introduction to functoriality and beyond endoscopy)Feb. 17: Joćo Guerreiro

(An application of the GL(3) Kuznetsov trace formula)Feb. 24: Wong Tian An

(Zeroes of L-functions in the GL(2) trace formula)March 3: Vivek Pal

(The Hasse principle for K3 surfaces)

March 10: Vladislov Petkov(A converse theorem for metaplectic Eisenstein series for SL(2))

March 17: Spring Break

March 24: Zheng Liu

March 31: Zheng Liu

April 7: Shrenik Shah

April 14: Shrenik Shah

April 21: Xin Wan

April 28: Xin Wan