Advisor: Dr. Carmelo Interlando,  619-594-7237, GMCS-581

Admissions and Financial Support:
Please see the Overview and Admissions page for information about applying to the program and for information about teaching assistantships.

General Requirement: 
General requirements for unclassified standing, classified standing, and advancement to candidacy are described in the Graduate Bulletin.  Students should file an Official Program soon after the beginning of the final year of study.  An Official Program must be filed prior to taking the last nine units of graduate course work.
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.  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.

4.  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.

5.  Contact Information. For further information, please contact Advisor Dr. Carmelo Interlando 619-594-7237

rev: 06/15/2017