I am a professor
in the
Department of Mathematics and Computer Science. My postal address is
Department of Mathematics, Santa Clara University, Santa Clara,
CA 95053, U.S.A. My office telephone number
is 1-408-554-6899 and my department's fax number is 1-408-554-2370.
My office is O'Connor 309.
My email address is: eschaefer at-sign scu.edu
I got bachelors degrees in mathematics and psychology at U.C. Davis
in 1984. Then I spent two years doing research at Stanford in
psycholinguistics. After that I got my Ph.D. in mathematics at U.C.
Berkeley in 1992. I've been at Santa Clara ever since.
Click on your interest:
For Applied
Crypto
students
For people
who attended my talk in Banff in February 2007.
For students
in the Johns Hopkins University Center for Talented Youth Odyssey Series
For people
who attended my talk in Bremen
For people interested
in the Peer Educator Program
For potential students
For Mathematics majors
For those interested
in the Safe Space Program
For those interested
in Chitumbuka grammar
For Cryptographers
For Number Theorists
My Curriculum Vitae
My Malawi Blog
Advice for young
mathematicians
Gallery
Click on
Mzuzu University Mathematics Department to see where I was from August 2005
- August 2006.
For
Applied Crypto
students
Click on midterm expectations.
Download the homework problems MD5-5 and MD5-6
and also you will want the information in the
help file .
Download the homework problem RC4-2 and
also you will also want to download the arrays in that homework
which are in arrays .
Brian/Dan are doing project 1 and should download
zipped .
Ellis/Julius are doing project 1 and should download
zipped .
If you are doing project 1 and you are Jacob then
download zipped .
If you are doing project 1 and you are Tim then
download zipped .
If Jacob and Tim pair on project 1, then they need only download one of those
files.
Anyone doing project 2 (Tom and perhaps Jacob and/or Tim)
should download zipped .
If Tom wants to do project 1 he can download
zipped .
For Applied Cryptography download and unzip handouts,
software and files.
From last quarter:
Download and winunzip your color name blue ,
green ,
red ,
yellow ,
orange . If you don't know how, then read
the help document .
If you want to program within PARI look at programming
tips .
For
people who attended my talk in Banff in February 2007.
Click on slides for the overheads for my talk,
compacted to 4 pages.
For
students
in the Johns Hopkins University Center for Talented Youth Odyssey Series
Click on slides for the overheads in my talk,
compacted to 6 pages.
For people attending the Bremen workshop
The slides from my talk at Bremen on computing Selmer groups of Jacobians
can be downloaded by clicking on slides.
For people interested
in the Peer Educator Program
Click on peer educator website.
For potential students
My interests include cryptography,
arithmetic geometry and algebraic number theory. I teach two different
courses on cryptography and have contacts both in industry
and at the National Security Agency. Arithmetic geometry is what you
get when you cross geometry and number theory. The recent proof of
Fermat's Last Theorem was accomplished using arithmetic geometry.
If you'd like to read a 2-page article on cryptography research I did with
SCU undergraduates then click on a pdf file of it.
For Mathematics majors
Click on Graduate schools
to see a list of the top 50 graduate programs in mathemetics with links to
them all. Click on Math Subject GRE test to find out
how to prepare for the Mathematics Subject GRE exam. And click on
Preparing for graduate school.
For people interested
in the Safe Space Program
Click on
Safe space program.
To learn Chitumbuka grammar
click on grammar.
For Cryptographers
The lecture notes for my cryptography, applied cryptography and
cryptanalysis courses
are given here in
pdf version. They were updated in August, 2006.
They are at an elementary level.
Click on The Frey/Rueck pairing to read an article
I wrote on a new mathematical foundation for the pairing, a new
proof of its non-degeneracy and a way to look
at the pairing over the base field using isogenies.
For Number
Theorists
Please click on
things of interest to number theorists
to see a list of my publications or to download some of my lectures.
My Curriculum
Vitae
Please click on cv.
My
Malawi blog
Please download blog.
Advice for
young mathematicians.
I learned the first two from Professor David Mead at U.C. Davis.
1. When reading mathematics, make sure you have a pencil in your hand
and some scratch paper nearby.
2. When presented with a mathematics problem
you can't solve, find a similar, simpler problem and solve it first.
The third one I learned from my father.
3. When you are presented with
a new problem in mathematics, you either believe that you can solve it
or you don't. In either case you will be right.
Click on gallery for
a couple of
fun photos
The nicest place I've ever stayed is
worth checking out.
Last changed: 22-Sep-2006