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Florida Atlantic University
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Dr. Lee Klingler
Chair & Professor, Mathematical Sciences

Office: SE 228
Phone #: (561) 297-3257
Fax #: (561) 297-2436
Email: klingler@fau.edu


 

First Year at FAU: 1984

Degrees
Ph.D. in Mathematics, University of Wisconsin-Madison, 1984
M.S. in Mathematics, University of Wisconsin-Madison, 1980
B.A. in Mathematics & Philosophy, Lebanon Valley College, 1977

Research Interests
Rings and modules, commutative ring theory, systems over rings, integral representations of finite groups, and mathematics education

Published Papers
Indecomposable modules of large rank over Cohen-Macaulay local rings, (with W. Hassler, R. Karr, and R. Wiegand), Transactions of the American Mathematical Society, 360, No. 3 (2008), 1391-1406.

Big indecomposable modules and direct-sum relations, (with W. Hassler, R. Karr, and R. Wiegand), Illinois Journal of Mathematics, 51, No. 1 (2007), 99-122.

Large indecomposable modules over local rings, (with W. Hassler, R. Karr, and R. Wiegand), Journal of Algebra 303 (2006), 202-215.

Direct-sum decompositions over one-dimensional Cohen-Macaulay local rings, (with A. Facchini, W. Hassler, and R. Wiegand), Multiplicative ideal theory: a tribute to the work of Robert Gilmer, Springer-Verlag, Berlin (2006), 153-168.

Large indecomposable modules over local rings, (with W. Hassler, R. Karr, and R. Wiegand), Journal of Algebra 303 (2006), 202-215.

The n-generator property in rings of integer-valued polynomials determined by finite sets, (with J. Boynton), Archiv der Mathematik, 86 (2006), 36-42.

The ordered group of invertible ideals of a Prüferdomain of finite character, (with J. Brewer), Communications in Algebra, 33, No. 11 (2005), 4197-4203.

Representation type of commutative Noetherian rings (Introduction), (with L. Levy), Algebras, Rings, and Their Representations, Proceedings of the International Conference on Algebras, Modules and Rings, Lisbon, Portugal, July 14-18, 2003, World Scientific, Singapore (2006), 113-15.

Representation type of commutative Noetherian rings III: global wildness and tameness, (with L. Levy), Memoirs of the American Mathematical Society, 832 (2005), 1-170.

Representation type of commutative Noetherian rings II: local tameness, (with L. Levy), Pacific Journal of Mathematics, 200, No 2 (2001), 387-483. 

Representation type of commutative Noetherian rings I: local wildness, (with L. Levy), Pacific Journal of Mathematics, 200, No 2 (2001), 345-386.

Rings of integer-valued polynomials and the bcs-property, (with J. Brewer), Proceedings of the Fourth International Conference on Commutative Ring Theory and Applications, Fez, Morocco, June 7-12, 2001, Lecture Notes in Pure and Applied Mathematics 231, Marcel Dekker, New York (2003), 65-76.

On feedback invariants for linear dynamical systems, (with J. Brewer), Linear Algebra and its Applications, 325 (2001), 209-220.

On the Krull-Schmidt-Azumaya Theorem for integral group rings, (with P. Hindman and C. Odenthal), Communications in Algebra, 26, No. 11 (1998), 3743-3758.

Tensor powers and projective modules for Hopf algebras, (with J. Feldvoss), Proceedings of the Eighth International Conference on Representations of Algebras, Trondheim, Norway, July 29-August 10, 1996, CMS Conference Proceedings 24 (1998), 195-203.

"What do you mean it's impossible?" Helping children refine their reasoning, (with D. Ploger and P. Fritzer), Teaching Children Mathematics 4, No. 3 (1997), 150-155.

Spreadsheets, patterns, and algebraic thinking, (with D. Ploger and M. Rooney), Teaching Children Mathematics (Algebraic Thinking Focus Issue) 3, No. 6 (1997), 330-334.

When does the ring K[y] have the coefficient assignment property?, (with J. Brewer, T. Ford, and W. Schmale), Journal of Pure and Applied Algebra 112 (1996), 239-246.

The molecular computer, (with D. Ploger), Consortium: The Newsletter of the Consortium for Mathematics and Its Applications, No. 58 (1996), 6-7.

Computer spreadsheets and draw programs in the classroom, (with D. Ploger and M. Rooney), Techtrends for Leaders in Education and Training 41, No. 3 (1996), 26-29.

Wild torsion modules over Weyl algebras, and general torsion modules over HNP's, (with L. Levy), Journal of Algebra 172 (1995), 273-300.

Feedback stabilizibility over commutative rings, (with J. Brewer and W. Schmale), Linear Algebra for Control Theory, The IMA Volumes in Mathematics and its Applications, Vol. 62, Springer Verlag, New York (1994), 31-42.

C[y] is a CA-ring and coefficient assignment is properly weaker than feedback cyclization over a PID, (with J. Brewer and W. Schmale), Journal of Pure and Applied Algebra 97 (1994), 265-273.

The dynamic feedback cyclization problem for principal ideal domains, (with J. Brewer and W. Schmale), Journal of Pure and Applied Algebra 92 (1994), 213-225.

A characterization of Dedekind-like orders that are Bass, (with J. Haefner), Proceedings of the Conference Methods in Module Theory, Colorado Springs, CO, May 29-June 1, 1991, Lecture Notes in Pure and Applied Mathematics 140, Marcel Dekker, New York (1993), 135-147.

Special quasi-triads and integral group rings of finite representation type, II, (with J. Haefner), Journal of Algebra 158, No. 2 (1993), 323-374.

Special quasi-triads and integral group rings of finite representation type, I, (with J. Haefner), Journal of Algebra 158, No. 2 (1993), 279-322.

Commutative group rings of finite representation type, Journal of Pure and Applied Algebra 80 (1992), 159-176.

Integral representations of finite groups with finite representation type, (with J. Haefner), Azumaya Algebras, Actions, and Modules: Proceedings of a Conference in Honor of Goro Azumaya's Seventieth Birthday, AMS Contemporary Mathematics 124 (1991), 73-82.

Construction of a counterexample to a conjecture of Zassenhaus, Communications in Algebra 19, No. 8 (1991), 2303-2330.

On the pole shifting problem for non-commutative rings, (with J. Brewer), Linear Algebra and its Applications 157 (1991), 147-159.

The ring of integer-valued polynomials of a semi-local principal ideal domain, (with J. Brewer), Linear Algebra and Its Applications 157 (1991), 141-145.

On BCS-rings and the pole shifting problem for linear systems, (with J. Brewer), Realization and Modelling in System Theory: Proceedings of the International Symposium MTNS 89, Vol. I, Progress in Systems and Control Theory 3, Birkhauser, Boston (1990), 173-179.

Direct sum cancellation: Modules versus lattices, (with L. Levy), Communications in Algebra 18, No 6 (1990), 1857-1868.

Integral representations of groups of square-free order, Journal of Algebra 129, No. 1 (1990), 26-75.

Polynomial rings which are BCS-rings, (with J. Brewer and F. Minnaar), Communications in Algebra 18, No. 1 (1990), 209-223.

Dynamic feedback over rings whose homomorphic images are local-global, (with J. Brewer), Communications in Algebra 17, No. 7 (1989), 1759-1773.

Pole shifting for families of systems: the dimension one case, (with J. Brewer), Mathematics of Control, Signals, and Systems 1 (1988), 285-292.

Dynamic feedback over commutative rings, (with J. Brewer), Linear Algebra and Its Applications 98 (1988), 137-168.

Pole assignability and the invariant factor theorem in Prufer domains and Dedekind domains, (with J. Brewer), Journal of Algebra 111, No. 2 (1987), 536-545.

Sweeping-similarity of matrices, (with L. Levy), Linear Algebra and Its Applications 75 (1986), 67-104.

Modules over the integral group ring of a non-abelian group of order pq, Memoirs of the American Mathematical Society 341 (1986), 1-125.

Integral representations of a non-abelian group of order pq, Proceedings of the Fourth International Conference on Representations of Algebras, Carleton-Ottawa Mathematical Lecture Note Series, No. 2, Ottawa (1984), 24.01-24.06.

 

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