Dr. Mark Budden
Assistant Professor


Office:  UH 289

            Phone:  912-927-5288          

E-mail:
Mark.Budden@armstrong.edu


Spring Schedule




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Curriculum Vitae

My Mathematical Ancestry

Pictures


Research Interests:  Automorphic Forms, Representation Theory, and Algebraic Number Theory

Spring Courses:  Calculus II and An Introduction to Algebraic Number Theory

Seminars:  Hudson Math/C.S. Luncheon Colloquium and Mathematics Research Seminar



Publications and Works in Progress:

On the Local Coefficients of Principal Series Representations of Metaplectic Groups (dissertation)  pdf, ps

Local Coefficient Matrices of Metaplectic Groups, Journal of Lie Theory, Vol. 16 (2006), 239-249.  pdfps

Generating Valid 4×4 Correlation Matrices, with P. Hadavas, L. Hoffman, and C. Pretz, Applied Mathematics E-Notes, Vol. 7 (2007), 53-59.  pdf, ps
(Also, see Lorrie Hoffman's program "validcor" at Carnegie Mellon University's StatLib)

A Generalization of Scholz's Reciprocity Law,
with R.J. Eisenmenger and J. Kish, Journal de Théorie des Nombres de Bordeaux, Vol. 19 (2007), 583-594.  pdf, ps

On the Generation of Correlation Matrices, with P. Hadavas and L. Hoffman, to appear in Applied Mathematics E-Notes (2008).  pdf, ps 

Local Coefficient Matrices and the Metaplectic Correspondence, with S. Eastman, preprint.

Rational Residuacity of Primes, in preparation.




Notes:

Automorphic Forms and Metaplectic Groups, notes from presentation at AASU Mathematics Research Seminar on  3/25/05 and 4/1/05  pdfps

Rational Reciprocity Laws, notes from presentation at AASU Mathematics Research Seminar on 10/7/05  pdfps



Math Links:

American Mathematical Society

Armstrong Math

Front for the Mathematics ArXiv

Journals with Free Online Access

JSTOR  (requires membership)

Mathematical Association of America

Mathematics Genealogy Project

MathSciNet  (requires membership)

MathWorld

Number Theory Web

PlanetMath



Armstrong Links:

Webmail

Lane Library

SHIP



News/Information:

A-infos Radio Project

DemocracyNow!

Freedocumentaries.org



Kayak Links:

Savannah Canoe and Kayak

Sea Kayak Georgia

Savannah Tide Table

National Data Buoy Center - Grays Reef