Address
“Generic formal fibers of mixed power series/polynomial rings”, joint with W. Heinzer and C. Rotthaus, submitted.
“Integral Closures of Ideals in Completions of Regular Local Domains, joint with W. Heinzer and C. Rotthaus, to appear, Proceedings of Lisbon Conference in Commutative Algebra.
“Non-finitely generated prime ideals in subrings of power series rings”, joint with W. Heinzer and C. Rotthaus, Rings, Modules, Algebras, and Abelian Groups, Dekker, Lecture Notes in Pure & Applied Mathematics 236, ISBN number 0-8247-4807-7, 2004.
“Prime ideals in birational
extensions of two-dimensional domains over orders”, joint with A. Serpil Saydam, J. Pure &
Applied Algebra, to appear.
“Examples of integral domains inside power
series rings”,joint with W.\ Heinzer and C.
\ Rotthaus, in Commutative Rings
and Applications, Lecture Notes in Pure & Applied Mathematics 231, Dekker 2002.
“Catenary local rings with geometrically normal formal fibers”, joint with W. Heinzer and C. Rotthaus, Algebra, Arithmetic and Geometry with Applications, Springer, ISBN number 3540004750, 2003.
“Noetherian domains with the
same prime ideal structure as Z2[x]”, joint with A. Serpil Saydam, Arab. J. Sci.
Eng.
(AJSE)Sect. C Theme Issues 26 (2001), no. 1, 187--198.
“Building Noetherian and
non-Noetherian integral domains using power series”,
joint with W.\ Heinzer and C. \ Rotthaus, in
Ideal Theoretic Methods in Commutative Algebra (D. D.
Anderson and Ira Papick, eds.), (Columbia, MO, 1999),
251--264, Lecture
Notes in Pure and Appl. Math., 220,
"Intermediate rings between a local domain and its completion II", joint with W. Hein-zer and C. Rotthaus, Illinois J. Math. Vol. 45, No. 3, 2001, 965--979.
"Prime ideals and decomposition of modules", joint with Roger
Wiegand, in Non-Noetherian Commutative Ring Theory,
Math. Appl., 520, Scott Chapman and Sarah Glaz, eds., Kluwer Acad. Publ., Dordrecht, 2000, 403--428.
"Approximating discrete valuation rings by regular local
rings", joint with W. Heinzer and C. Rotthaus, Proc. Amer. Math. Soc. 129 (2001), no. 1,
37--43..
"Noetherian domains inside a homomorphic
image of a completion", joint with W. Heinzer
and C. Rotthaus, J. Algebra 215, 1999, 666-681.
"Building Noetherian domains inside an ideal-adic completion", joint with W.Heinzer,
C.Rotthaus, in Abelian
Groups, Module Theory and Topology (Dikran Dikranjan and Luigi Salce, eds.),
Marcel Dekker, Inc. 1998, 279-287.
"Noetherian domains inside a semilocal
domain and its completion", joint with W.Heinzer,
C.Rotthaus, J. of Algebra 198, 1997, 627-655.
"Idealwise algebraic
independence for elements of the completion of a local domain", joint with
W.Heinzer, C.Rotthaus,
Illinois Journal, 41 (2), 1997, 272-308.
"Prime ideals in polynomial rings over one-dimensional domains", joint with W. Heinzer, Trans. AMS 347,(2), 1995, 639-650.
"Prime ideals in birational extensions of
polynomial rings II" ,joint with W. Heinzer and D. Lantz, in Zero-Dimensional Commutative Rings
(D. Anderson and D. Dobbs, eds.), Marcel Dekker,
"One-dimensional rings of finite representation type", joint with
N. Cimen and R. Wiegand, in: Abelian
Groups and Modules, Kluwer,
"Bounds for one-dimensional rings of finite Cohen-Macaulay type", joint with R. Wiegand, J. Pure Appl. Algebra 93, 1994, 311--342.
"Projective lines over one-dimensional semilocal
domains and spectra of birational extensions",
in: Algebra Geometry and Applications, (C. Bajaj,
ed.), Springer Verlag,
"Prime ideals in birational extensions of polynomial rings", joint with W. Heinzer and D. Lantz) in: Commutative Algebra: Syzygies, Multiplicities and Birational Algebra, edited by W. Heinzer, C. Huneke, and J. Sally, AMS Contemporary Mathematics 171, 1994.
"Direct Limits of prime spectra", joint with C. Rotthaus, AMS Contemporary Mathematics 171, 1994.
"On the compositum of two power series rings", joint with S. Abhyankar and W. Heinzer, Trans. Amer. Math. Soc. 331, 1992, 563--584.
S. Abhyankar, N. Cimen, W. Heinzer, A. Li, D. Lantz, M. Luckas, C. Rotthaus, K. Smith, R. Wiegand, M. Arnavut
Aihua Li (PhD 1994)
Azime Serpil Saydam (PhD 1999)
Meral Arnavut (PhD 2002)
Melissa Luckas (current)
Christina Eubanks-Turner (current)
L. S. Levy