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, Spectral doubling of normal operators and connections with antiunitary operators, Integral Equations and Operator Theory (to appear).
Geoffrey Goodson, Groups having elements conjugate to their squares and applications to dynamical systems, Applied Mathematics 1 (2010), 416–424.
Geoffrey Goodson, On commutators in matrix theory, Operators and Matrices 4 (2010), 283–292.
G. R. Goodson and R. Horn, Canonical forms for normal matrices that commute with their complex conjugate,
Linear Algebra and Applications 430 (2009), 1025–1038.
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.
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:
A. Kumchev, J. Cilleruelo, F. Luca, J. Rue, and I. Shparlinski, On
the fractional parts of an/n, Bulletin of the London Mathematical Society
(to appear).
Angel Kumchev, On Weyl sums over primes in short intervals,
Proceedings of the Sixth China-Japan Conference on Number Theory, Shanghai,
August 2011 (to appear).
Angel Kumchev, On the convergence of some alternating series, Ramanujan Journal (to appear).
A. Kumchev and T.Y. Li,
Sums of almost equal squares of primes, Journal of Number Theory
132 (2012), 608-636.
A. Kumchev and T.H. Chan,
On sums of Ramanujan sums, Acta Arithmetica
152 (2012), 1-10.
A. Kumchev, T.H. Chan and M. Wierdl, Additive bases arising from
functions in a Hardy field, Acta Mathematica Hungarica 129
(2010), 263-276.
A. Kumchev and G. Harman, On sums of squares of primes II, Journal of Number Theory
130 (2010), 1969-2002.
A. Kumchev and J.Y. Liu, Sums of primes and squares of primes in short intervals, Monatshefte für Mathematik
157 (2009), 335–363.
Angel Kumchev, A binary additive equation involving fractional powers, International Journal of Number Theory 5 (2009), 281–292.
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.
8000 York Road | Towson, MD 21252 | 410-704-2000
