## 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)

An additive prime divisor function of Alladi and Erdős

A standard zero free region for Rankin-Selberg L-functions (with X. Li)

A converse theorem for double Dirichlet series and Shintani zeta functions

(with N. Diamantis)

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, FALL 2017

Mathematics V3025, MAKING, BREAKING CODES

TR 2:40-3:55 Location: Room 312 Mathematics Building

Textbook: Introduction to Cryptography with Coding Theory (Second Edition)

by Wade Trappe and Lawrence Washington.

TA: James Cornish

e-mail:jsc2219@columbia.eduWed. 12-1, Thurs. 1-3.

Help Room (Math 406) Hours:

Midterm Exam1Tuesday October 3(20% of total grade for this class)

Midterm Exam2TBA (20% of total grade for this class)

Final ExamTBA(35% of total grade for this class)

Homework(25% of total grade for this course)Please put all homework in the box just opposite Room 415 Math Building.

Deadline is Thursday 11:00pm (Note that Math Building is locked by Facilities at 11:00pm).

All homework is from the Trappe-Washington book.

HW#1 due Thursday, September 14: Page 55, Problems 2, 3, 4, 5, 8, 10, 11

HW#2 due Thursday, September 21: Page 104, Problems 1, 2, 3, 5, 12, 13, 18, 19, 26

HW#3 due Thursday, September 28: Page 105, Problems 9, 10 Page 192, Problems 1, 3, 7, 9 Page 214, Problems 1, 2, 11