1.  Introduction

The goal of the Mathematics of Communication program is to prepare the students for the communications industry and to support the local communications industry by o ffering workshops, short courses, and consulting services. We plan to become an active research and education center for the mathematics of communication and attract students, visitors, and funding.

The communications industry in San Diego is led by Qualcomm, which is the biggest private employer in San Diego County, Science Applications International Corporation (SAIC), which is an international company with a signi cant local presence, and the U.S. Navy. The ever expanding use of cellular telephones, personal communication devices, and the Internet for electronic commerce will fuel the continued growth in the communications industry.

2.  Faculty

The faculty in the program consists of Drs. Stefen Hui, J. Carmelo Interlando, and Michael O’Sullivan. Stefen Hui is an analyst who works on sparse-matrix codes and multiuser information theory. He has consulted for the U.S. Navy and SAIC on problems in coding, information theory, and signal processing. He teaches courses on real and complex analysis, Fourier analysis, and linear systems. J. Carmelo Interlando holds a doctorate in mathematics with concentration in cryptology and a doctorate in electrical engineering with concentration in communications. His research interests include algebraic number theory, sphere packings, algebraic codes, and Boolean function complexity. Michael O’Sullivan’s research interests include algebraic geometry codes, decoding algorithms, low- density parity-check codes, ring-linear codes, computational algebraic geometry, algebraic curves and surfaces, and algebraic statistics.

3.  Admission Requirements

To be admitted to the program, the student should have training equivalent to that required for an undergraduate degree in mathematics or electrical engineering with a strong background in mathematics. Students with degrees in other areas who have strong mathematical backgrounds may also be considered for admission. In addition, all students must satisfy the general requirements for admission to the university with classi ed graduate standing; please refer to the Graduate Bulletin for information.

4.  Required Courses

MATH 525. Algebraic Coding Theory
MATH 626. Cryptography
MATH 668. Applied Fourier Analysis

Two courses selected from:
MATH 528. Information Theory and Data Compression
MATH 625. Algebraic Coding Theory
MATH 667. Mathematical Aspects of Systems Theory

Two courses selected from:
MATH 623. Linear Algebra and Matrix Theory
MATH 627A. Modern Algebra I
MATH 627B. Modern Algebra II
MATH 630A-630B. Functions of a Real Variable
MATH 631A-631B. Functions of a Complex Variable

Two additional courses in mathematics or in a related area may be selected with the approval of the program adviser. At least 18 units must be selected from 600-and 700-numbered courses. Either Mathematics 797 (Research) or 799A (Thesis) are required of students in this degree program.

5.  Graduation Requirements

A student must complete the required course work satisfactorily and meet University requirements for graduation; consult the Graduale Bulletin for further information. In addition, a thesis is required for this degree program.

6.  Contact Information

For further information, please contact
Professor J. Carmelo Interlando
San Diego State University
Department of Mathematics and Statistics
5500 Campanile Drive, GMCS 415
San Diego, CA 92182-7720
Tel: 619-594-7237
e-mail: interlan@mail.sdsu.edu