Bruce Olberding
School Address
Department of Mathematical Sciences
New Mexico State University
Las Cruces, NM 88003-8801
Phone: (575) 646-2234
E-mail: olberdin@nmsu.edu
RESEARCH INTERESTS
· Commutative Algebra
· Module Theory
· Algebraic Geometry
EDUCATION
· Ph.D. in Mathematics, 1996, Wesleyan University, Middletown, Connecticut.
Advisor: Professor James D. Reid
Dissertation title: Torsion-Free Modules over Prüfer Domains
· B.S. in Mathematics with Honors with Distinction, 1990, Baylor University, Waco, Texas.
POSITIONS HELD
· Assistant Professor August 2002 – present
Department of Mathematical Sciences, New Mexico State University, Las Cruces,
New Mexico.
· Assistant Professor August 1997 – May 2002
Department of Mathematics, The University of Louisiana at Monroe, Monroe, Louisiana.
· Visiting Assistant Professor August 1996 – June 1997
Department of Mathematics, Wesleyan University, Middletown, Connecticut
HONORS
· Outstanding Professor, College of Pure and Applied Sciences. The University of Louisiana at Monroe, 2001-2002.
· Outstanding Honors Faculty Award for the Honors course, “Measuring the immeasurable,” The University of Louisiana at Monroe, Spring 1999.
· Phi Kappa Phi Honor Society, March 1999 – present.
· Sigma Xi Honor Society, May 1996 – May 1997.
· GAANN Fellow, Wesleyan University, 1992-1996.
· Outstanding Mathematics Senior Award, Baylor University, 1990.
· Presidential Scholar, Baylor University, 1986-1990
TEACHING EXPERIENCE
New Mexico State University, August 2002 – present.
Introduction to Modern Algebra, Matrix Theory, Linear Algebra, Algebraic
Number Theory (reading course), Modern Algebra 1, Liberal Arts Mathematics
The University of Louisiana at Monroe, August 1997 – present.
History of Mathematics, Modern Algebra for Secondary Teachers, Real Analysis,
Differential Equations, Linear Algebra, Calculus Sequence, Honors Mathematics,
Precalculus, Elementary Statistics, Algebra for Management Science, College
Algebra, Liberal Arts Mathematics.
Wesleyan University, August 1996 – June 1997.
Coordinator for reform calculus, Calculus, Multivariable Calculus, Linear
Algebra.
SELECTED SERVICE
New Mexico State University
· Library Committee, 2002-2004
· Social Committee, 2003-2004
· Teaching Committee, 2002-2003
· Department Head Search Subcommittee, Spring 2003
The University of Louisiana at Monroe
· Co-Director, University Honors Program, 2000-2001
· Chair, University Honors Council, 2000-2001
· University Honors Council, 1998-2002
· University Enrollment Committee, 2000-2001
· Departmental Curriculum Committee, Fall 1998-2002
· Retirement Reception Committee, Spring 1998
GRANTS
· NSA Young Investigators Grant, “Intersections of valuation
overrings of affine algebras,” 2004-2006
· New Mexico State University Department of Mathematical Sciences Summer
Research Award, Summer 2003
· New Mexico State University Minigrant, “Collaborative research on kernels of projective presentations of finitely generated modules,” Summer 2003
· Louisiana Board of Regents Travel Grant for Emerging Faculty to attend Second Honolulu Conference on Abelian Groups and Modules, July 2001.
· Louisiana Board of Regents Support Fund, Research Competitiveness
Grant,
“ Multiplicative and homological properties of ideals,” 2000-2002
· NSF Curriculum Project: Development of web-based course materials for pre-service teachers, 2001-2003
· AMS/NSF Travel Grant to attend UCLA World Mathematical Year 2000 Conference, August 2000.
RESEARCH HONORS
· Invited to give a one-hour address at “The First Toba International Conference on Abelia Groups, Rings and Modules,” Toba, Japan, August 2004.
· One of six speakers selected to give a 30-minute plenary address at the Venezia 2002 Algebra Conference, Venice, Italy, June 2002.
· One of four “promising young people” selected to give a 50-minute address at the Conference on Abelian Groups and Modules, The University of Hawaii, Honolulu, August 2001.
· Nominated for Sloan Research Fellowship, 2000, 2001
Nominator: Silvana Bazzoni (Universitá di Padova)
· Marco Fontana (Universitá di Roma)
· Laszlo Fuchs (Tulane University)
· H. Pat Goeters (Auburn University)
· William Heinzer (Purdue University)
· James D. Reid (Wesleyan University)
· Stephen Richters (University of Louisiana at Monroe)
· Luigi Salce (Universitá di Padova)
Invited to give a two-hour research seminar to the Algebra faculty of Universitá di Padova. Padova, Italy 1999.
· One of eight speakers selected to give a 50-minute address at Workshop in Algebra, Universitá di Padova, Padova, Italy, December 1999.
REVIEWER
· Exercises in Abelian Group Theory, G. Calugareanu, Kluwer Academic Publishers.
REFEREE
· Communications in Algebra
· Rocky Mountain Journal of Mathematics
· Houston Journal of Mathematics
· Ideal-Theoretic Methods in Commutative Algebra, Lecture Notes
in Pure and
Applied Mathematics, Marcel Dekker, 2001.
· Non-Noetherian Commutative Ring Theory, Kluwer, 2002.
SELECTED INVITED RESEARCH TALKS
· Joint AMS-UMI Meeting, University of Pisa, Pisa, Italy, June
2002. Title: Reflexive
Prüfer overrings of Noetherian domains.
· Venezia 2002 Algebra Conference, Venice International University,
Venic, Italy, June
2002. Title: Prüfer rings associated to some non-algebraic sets of points.
· Second Honolulu Conference on Abelian Groups and Modules, University
of Hawaii,
July 2001. Title: Applications of the study of torsion-free modules to commutative
Algebra.
· Conference in Honor of James D. Reid, Wesleyan University,
Middletown, Conneticut,
May 2001. Title: Applications of Warfield duality to commutative algebra.
· Colloquium, Auburn University, Auburn, Alabama, December 2000.
Title: Arithmetic
when numbers won’t suffice: Factorization of ideals in commutative rings.
· Second International Encounter on Integer-Valued Polynomials,
CIRM, Marseilles,
France, May 2000. Title: Extension of ideal-theoretic properties to submodules
of the
quotient filed of a domain.
· Centennial Conference on Commutative Algebra, University of
Nebraska, Lincoln,
Nebraska, April 2000. Title: The Krull-Schmidt Property of ideals and modules.
· Blue-Gray Conference on Abelian Groups and Modules, Auburn
University, Auburn,
Alabama, March 2000. Title: The Krull-Schmidt property for ideals and modules.
· Workshops on Rings and Modules, Universitá di Padova,
Padova, Italy, December 1999.
Title: Stable domains and decomposition of modules.
· Seminar, Universitá di Padova, Padova, Italy June 1999.
Title: Almost maximal Prüfer
domains.
· Workshop on Commutative Algebra, Universitá di Roma,
Rome, Italy, June 1999.
Title: H-local Prüfer domains.
· Conference on Algebra, Tulane University, New Orleans, Louisiana,
March 1999.
Title: Warfield duality, stability and two-generated ideals.
· Colloquium, Baylor University, Waco, Texas, October 1998. Title:
Variations on the
Jordan-Hölder Theorem.
INVITED CONFERENCE RESEARCH PRESENTATIONS
· Special Session on Commutative Rings and Monoids, AMS Sectional
Meeting, Louisiana
State University, Baton Rouge, Louisiana, March 2003. Title: Maximal prime
divisors in
arithmetical rings.
· Thirty-Third Annual Lloyd Roeling Mathematics Conference, University
of Louisiana at
Lafayette, Lafayette, Louisiana, October 2002. Title: Commutative ideal theory
without
finiteness conditions: primal ideals.
· Southwest Regional Algebra Conference, Loyola University, New
Orleans, Louisiana,
April 2002. Title: Intersections of valuation overrings of affine domains.
· Special Session on Commutative Rings, AMS Sectional Meeting,
University of
Tennessee-Chattanooga, October 2001. Title: Intersections of valuation overrings
of
affine domains.
· Southwest Regional Algebra Conference, University of Southern
Mississippi,
Hattiesburg, Mississippi, April 2001. Title: A module-theoretic approach to
some diverse
examples in commutative algebra.
· Special Session on Commutative Rings and Monoids. AMS-MAA National
Meeting,
New Orleans, Louisiana, January 2001. Title: Non-standard commutative rings.
· Southwest Regional Algebra Conference, Baylor University, Waco,
Texas, April 1999.
Title: Modules over stable domains.
· Conference on Algebra, University of Louisiana at Lafayette,
October 1999.
Title: Stable domains.
· Special Session on Commutative Rings, AMS Sectional Meeting,
Wake Forest
University, October 1998. Title: Integral domains for which every non-zero
ideal is stable.
· Blue-Gray Conference on Abelian Groups, Auburn University,
Auburn, Alabama,
December 1996. Title: Almost maximal Prüfer domain.
· Special Session on Commutative Algebra, Seattle Mathfest, University
of Washington,
Seattle, Washington, August 1996. Title: Submodules of the quotient field of
a Prüfer
domain.
· Blue-Gray Conference on Abelian Groups, University of Conneticut,
Storrs, Conneticut,
October 1995. Title: Warfield Domains.
Submitted and Published Research Publication
1. Kernels of projective presentations of modules
with large annihilators, with Serpil
Saydam, Communications in Algebra, submitted.
2. Commutative ideal theory without finiteness conditions:
primal ideals, with Laszlo
Fuchs and William Heinzer. Transactions of the American Mathematical Society,
to appear.
3. Maximal prime divisors in arithmetical rings, with Laszlo Fuchs and William Heinzer, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, to appear.
4. The Krull-Schmidt property for ideals and modules
over integral domains, with H.P.
Goeters, Rocky Mountain Journal of Mathematics, 32 (2002), 1409-1429.
5. A geometric setting for some properties of torsion-free
modules, Rocky Mountain
Journal of Mathematics, 32 (2002), 1281-1297.
6. On the structure of stable domains, Communications in Algebra, 30 (2002), 887-895.
7. Ultraproducts of commutative rings, with Serpil Saydam, Commutative ring theory and applications, Lecture Notes in Pure and Applied Mathematics 231, Marcel Dekker, 2002, 369-387.
8. Unique decomposition into deals of Noetherian domains, with H.P. Goeters, Journal of Pure and Applied Algebra, 165 (2001), 169-182.
9. On locally isomorphic torsion-free modules, with H.P. Goeters, International Journal of Commutative Rings, 1 (2001).
10. Stability, duality, 2-generated ideals and a canonical decomposition of modules. Rendiconti del Seminario Matematico della Universitá di Padova, 106 (2001), 261-290.
11. On the classification of stable domains, Journal of Algebra, 243 (2001), 177-197.
12. Stability of ideals and its applications, in Ideal-Theoretic Methods in Commutative Algebra, edited by 1. Papick and D.D. Anderson, Marcel Dekker, 2001.
13. Homomorphisms and duality for torsion-free modules, Proceedings of the AGRAM Conference, Perth, Australia, 2000, Contemporary Mathematics, 2001-17-38.
14. Extension of ideal-theoretic properties of a domain to submodules of its quotient field, with H.P. Goeters, Journal of Algebra, 237 (2001), 14-31.
15. Factorization into prime and invertible ideals, Journal of the London Mathematical Society (2), 62 (2000), 336-344.
16. Modules of injective dimensions one over Prüfer domains, Journal of Pure and Applied Algebra 153 (2000), pp. 263-287.
17. On the multiplicative properties of submodules of the quotient field of an integral domain, with H.P. Goeters, Houston Journal of Mathematics 26(2000), pp. 241-254.
18. Faithfulness and cancellations over Noetherian domains, with H.P. Goeters, Rocky Mountain Journal of Mathematics 30 (2000), pp. 185-194.
19. Almost maximal Prüfer domains, Communications in Algebra 27 (1999), pp. 4433-4458.
20. Prüfer domains and pure submodules of direct sums of ideals, Mathematika, 46 (1999), 425-432.
21. Composition series of modules over Prüfer domains, Proceedings of the American Mathematical Society 127 (1999), pp. 1917-1921.
22. Globalizing local properties of Prüfer domains, Journal of Algebra 205 (1998), pp. 480-504.
23. E-uniserial groups, with M. Dugas, Methods in Module Theory, New York: Marcel Dekker, 1993, pp. 75-86.