Department of Mathematics
Faculty Research and Scholarship
Analysis
Dr. Geoffrey Goodson's current research interests are in the fields of ergodic theory, dynamical systems, matrix theory and operator theory.
Some of Dr. Goodson's recent publications include:
- Geoffrey Goodson and Roger Horn, Canonical forms for normal matrices that commute with their complex conjugate, Linear Algebra and Applications (to appear).
- Geoffrey Goodson, On the multiplicity function of real normal operators, Operators and Matrices 2 (2008) 1–13.
- Geoffrey Goodson, Spectral properties of ergodic dynamical systems conjugate to their composition squares, Colloquium Mathematicum 107 (2007), 99–118.
- G. R. Goodson, R. Horn and D. Merino, Quasi-real normal matrices and eigenvalue pairings, Linear Algebra and its Applications 369 (2003), 279–294.
- G. R. Goodson, Ergodic dynamical systems conjugate to their composition squares, Acta Mathematica Universitatis Comenianae 71 (2002), 201–210.
- R. Boules, G.R. Goodson, O. Kim and M. O'Leary, Laboratory Manuals for Single Variable and Multivariable Calculus, Harcourt Publishing Company, 2000.
- Geoffrey Goodson, Conjugacies between ergodic transformations and their inverses, Colloquium Mathematicum 84 (2000), 185–193.
- Geoffrey Goodson, The converse of the inverse-conjugacy theorem for unitary operators and ergodic dynamical systems, Proceedings of the American Mathematical Society 128 (2000), 1381–1388.
Dr. Angel Kumchev's current research interests are in the fields of additive number theory, sieves, the distribution of primes, and analytic number theory in number fields.
Some of Dr. Kumchev's recent publications include:
- Angel Kumchev and J.Y. Liu, Sums of primes and squares of primes in short intervals, Monatshefte für Mathematik (to appear).
- Angel Kumchev, On sums of primes from Beatty sequences, Integers: The Electronic Journal of Combinatorial Number Theory 8 (2008), #A08.
- Angel Kumchev, A binary additive equation involving fractional powers, International Journal of Number Theory 5 (2009), 281–292.
- A. Kumchev, M. Filaseta and D.V. Pasechnik, On the irreducibility of a truncated binomial expansion, Rocky Mountain Journal of Mathematics 37 (2007), 455–464.
- Angel Kumchev, Weyl sums over primes and almost primes, Michigan Mathematical Journal 54 (2006), 243–268.
- Angel Kumchev and S.K.K. Choi, Mean values of Dirichlet polynomials and applications to linear equations with prime variables, Acta Arithmetica 123 (2006), 125–142.
- A. Kumchev and G. Harman, On sums of squares of primes, Mathematical Proceedings of the Cambridge Philosophical Society 140 (2006), 1–13.
Dr. Houshang Sohrab's current research interests are in the fields of functional analysis, normal solvability of partial (and pseudo) differential equations.
Some of Dr. Sohrab's recent publications include:
- Houshang Sohrab, Basic Real Analysis, Birkhauser, Boston, 2003.
- Houshang Sohrab, Cordes algebras and superexponential growth, Proceedings of the 30th Iranian International Conference on Mathematics, (1999), 423–429.
- Houshang Sohrab, Cordes algebras based on Schrodinger operators with rapidly increasing potentials, Journal of Mathematical Analysis & Applications 207 (1999), 549–561.
- Houshang Sohrab, Spatially nontemperate pseudodifferential operators, sphere extensions and Fredholm theory, Rocky Mountain Journal of Mathematics 25 (1999), 501–514.
Department of Mathematics
7800 York Road, Room 316 (campus map)
Hours: Monday - Friday, 8:30 a.m. – 5 p.m.
Phone: 410-704-3091
Fax: 410-704-4149
E-mail: math@towson.edu
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