Links:
L-functions
and
Automorphic forms (Goldfeld Fest)
(Conference
photos)
Joint
COLUMBIA-CUNY-NYU Number Theory Seminar
Braid
Group Cryptography
Bretton
Woods
Workshop on Multiple Dirichlet Series(2005)
(Conference
photos)
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 2012
Mathematics
V3025, MAKING, BREAKING CODES
Day/Time: TR 2:40pm-3:55pm Location:
312 Mathematics Building
Textbook:
Introduction to
Cryptography with Coding Theory
(Second Edition)
by Wade Trappe
and Lawrence Washington.
TA's:
Tim Heath
<timheath@math.columbia.edu>
Help Room Hours: 1-4 Wednesdays
Luis Garcia
<lgarcia@math.columbia.edu>
Help Room Hours: Mondays 12-1 and
Fridays 1-2pm
EXAM 1: Thursday, October
4 (20% of total grade for
this course)
EXAM 2:
Thursday, November 8 (20% of
total grade for this course)
FINAL
EXAM: Thursday,
December 20 (1:10-4:00p.m. in Room
312) (35% of
total grade for this course)
HOMEWORK: (25% of
total grade for this course)
Please put all homework in the box just opposite Room 414 Math
Building.
Deadline is Thursday 11:59pm. All homework is from the
Trappe-Washington book.
HW#1 due Thursday,
September 13: Page 55, Problems 2, 3, 4,
5, 8, 10, 11
HW#2 due Thursday,
September 20: Page 104, Problems 1, 2, 3,
5, 12, 13, 18, 19, 26
HW#3 due Thursday, September 27:
Page 192, Problems 1, 3, 7, 9, 11 Page 214, Problems 1,
2, 11
HW#4 due Thursday,
October 11: Page 105, Problems 9,
10 Page 195, Problem 21 Page 215, Problems 3, 4,
6, 10
HW#5 due Thursday,
October 18: Page 108, Problems 25,
26, Page 239, Problems 1, 2, 3, 4, Page 252,
Problem 1
HW#6 due Thursday,
October 25: Page 252, Problems 2, 4, 5,
8, Page 286, Problem 4, Page 315, Problems 2, 3.
HW#7 due Thursday,
November 1: Page 370, Problems 1, 2, 3,
4, 5, 10
HW#8 due Thursday,
November 8: Page 321, Problems 1, 2, 3,
4, 5, 6
HW#9 due Thursday,
November 15: Page 110, Problems 33,
34, Page 447, Problem 12(a),
Construct a finite field of 8
elements.
HW#10 due Thursday,
November 29: Page 445, Problems 1,
2, 3(a),(b),(c), 4, 5(a), 6
HW#11 due Thursday,
December 6: Page 445, Problems 8, 9, 10,
11, 12, 13
Mathematics
W4043, ALGEBRAIC NUMBER
THEORY
Day/Time: TR 11:40am-12:55pm
Location: 507 Mathematics Building
Textbook: Algebraic
Number Theory, by Jurgen Neukirch, Grundlehren
der mathematischen Wissenschaften 322,
Springer
TA: Nava
Balsam <nava@math.columbia.edu>
Help Room Hours: Tuesday 10-12 and Wednesdays
12-1pm
HOMEWORK: (60% of
total grade for this course)
Please put all homework in the box just opposite Room 414 Math
Building.
Deadline is Thursday 11:59pm. All homework is from the
Neukirch book.
HW#1 due Thursday,
September 13: Page 5, Problems 1, 2, 5, 6, 7.
HW#2 due Thursday,
September 27: Page 15, Problems 1, 2, 4, 5,
Page 23, Problems 1,2
HW#3 due Thursday,
October 11: Page 23, Problems 3, 4, 5, 6
HW#4 due Thursday,
October 25: Page 27, Problems 1, 3, Page
38, Problem 1, Page 43, Problems 1, 2
HW#5 due Thursday,
December 6: Page 58, Problems 1, 2, 3, 4