Curriculum Vitæ
- Education:
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Promotion (Ph.D.), University of the Saarland, West Germany, 1980
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Diplom (M.S.), University of the Saarland, West Germany, 1977
- Positions:
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Professor, Purdue University, 2001-present
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Simons Foundation Fellow, 2012-2013
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Research Professor, MSRI, Berkeley, 2012-2013
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General Member, MSRI, Berkeley, Fall 2002
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Professor, Michigan State University, 1989-2001
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Associate Professor, Michigan State University, 1986-1989
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Assistant Professor, Michigan State University, 1984-1986
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Visiting Assistant Professor, Northwestern University, 1983-1984
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Visiting Assistant Professor, Purdue University, 1982-1983
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Visiting Research Associate, Purdue University, 1981-1982,
supported by a research fellowship from DAAD
- Research Interest:
Commutative Algebra and Algebraic Geometry
- Honors:
Fellow of the American Mathematical Society, Inaugural Class of 2012
- Research Support:
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NSF research grant, 2022-2025
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NSF research grant, 2018-2021 (with a no-cost extension until 2023)
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NSF research grant, 2015-2018 (with a no-cost extension until 2020)
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NSF grant
Algebra and Geometry Meetings in the Midwest, 2015-2018
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NSF research grant, 2012-2015
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Simons Foundation Fellow, 2012-2013
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NSF research grant, 2009-2012
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NSF grant Special Algebra Meetings in the Midwest, 2008-2013
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NSF grant
PASI: Commutative Algebra and its Connections to Geometry, 2009
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NSF research grant, 2005-2009
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NSF research grant, 2002-2005
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NSF grant Midwest Commutative Algebra and Geometry Meeting, 2004
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NSF research grant, 1999-2002
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NSF research grant, 1996-1999
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NSF US-Brazil cooperative research grant, 1994-1997
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NSF research grant, 1993-1996
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NSF research grant, 1990-1993
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NSF research grant, 1988-1990
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NSF grant for scientific computing equipment for the
mathematical sciences, 1988
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NSF research grant, 1986-1988
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NSF research grant, 1984-1986
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Fellowship from DAAD (German Academic Exchange Service), 1981-1982
- Ph.D. Students:
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Elias Lopez, Licci Gorenstein ideals of deviation two, 1988
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Mark Johnson, Cohen-Macaulay blowup algebras and constructions in
linkage, 1995
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Laura Ghezzi, The depth of blowup rings of ideals, 2001
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Christine Cumming, Residual intersections in Cohen-Macaulay rings, 2005
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Louiza Fouli, A study on the core of ideals, 2006
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Javid Validashti, Multiplicities of graded algebras, 2007
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Yi-Huang Shen, Monomial curves, Gorenstein ideals, and Stanley
decompositions, 2009
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Yu Xie, Formulas for the multiplicity of graded algebras, 2009 (advised jointly with W. Heinzer)
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Kuei-Nuan Lin, Rees algebras of diagonal ideals, 2010
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Paolo Mantero, Linkage and Hilbert functions, 2012
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Lan Nguyen, Rees algebras of linearly presented ideals, 2013
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Youngsu Kim, Quasi-Gorensteinness of extended Rees algebras, 2014
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Jacob Boswell, Prime saturations and Rees algebras of almost linearly
presented ideals, 2015
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Jonathan
Montano, Generalized multiplicities, reductions of ideals, and
depth of blowup algebras, 2015
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Vivek Mukundan, Rees algebras and iterated Jacobian duals, 2016
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Alessandra Costantini, Rees algebras and fiber cones of modules,
2019
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Monte Cooper, Bounding the degrees of the defining equations of Rees rings for certain
determinantal and
Pfaffian ideals, 2020
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Roberto Ulloa-Esquivel, epsilon-multiplicity of modules
with finitely generated saturation Rees algebras, 2020
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Tan Dang, Topics on the Cohen-Macaulay property of Rees algebras
and the Gorenstein linkage class of a complete intersection, 2020
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Edward Price, On the defining ideals of Rees rings for
determinantal and Paffian ideals of generic height, 2020
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Rachel Lynn, Specialization and complexity of integral closure of
ideals, 2021
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Lindsey Hill, Integral closures of ideals and coefficient
ideals of monomial ideals, 2021
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Vinh Nguyen, Bounds on generalized multiplicities and on heights of determinantal ideals, 2022
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Matthew Weaver, The equations defining Rees algebras of ideals and modules
over hypersurface rings, 2022
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Jenna Tarasova, Residual intersections and their generators, 2022
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Sandra Sandoval Gomez, current (advised jointly with C. Polini at U. of Notre Dame)
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Juan Ramirez, current (advised jointly with C. Polini at U. of Notre Dame)
- Postdocs Mentored:
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Hema Srinivasan, 1986-1988
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Sangki Choi, 1989-1990
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K. N. Raghavan, 1991-1993
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Songqing Ding, 1993-1995
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Claudia Polini, 1995-1998
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Alberto Corso, 1998-2000
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Claudia Miller, 2000-2001
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Jean Chan, 2001-2003
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Jooyoun Hong, 2003-2006
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Gemma Colomé Nin, 2011-2013
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Alexandra Seceleanu, MSRI, Fall 2012
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Cleto Miranda Neto, 2012-2013
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Wenbo Niu, 2011-2014
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Victor Hugo Perez, 2013-2014
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Caroline
Madsen, 2016-2019
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Editorial Work:
- Editorial board of the Journal of Algebra, since 2010
- Editorial board of the Vietnam Journal of Mathematics, since 2022
- Editorial board of the Taiwanese Journal of Mathematics, 2008-2014
- Editorial board of the Proceedings of the AMS, 2002-2010
- Co-editor of a special volume of the Journal of
Algebra in honor of Craig Huneke, J. Algebra 571 (2021)
- Co-editor of the proceedings of the conference Algebraic Geometry
and Commutative Algebra, IMPA, Rio de Janeiro, 2012,
Bull. Braz. Math. Soc.
45 (2014)
- Co-editor of a special volume of the Journal of Pure and Applied
Algebra in honor of Wolmer Vasconcelos, J. Pure Appl. Algebra 201 (2005)
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Book review in: Bulletin Amer. Math. Soc. 34 (1997), 177-181
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Conferences Organized:
- Co-organizer of the Fellowship of the Ring, the virtual national
commutative algebra seminar hosted by MSRI, since 2020.
- Member of the scientific committee of the Virtual Commutative Algebra Seminar, IIT Bombay, since 2021.
- Co-organizer of the conference `Written Geometry: Commutative
Algebra', CIRM (Centre
International de Rencontres Mathématiques), Luminy, France,
January 2023.
- Member of the local organizing committee for the AMS Sectional
Meeting at Purdue University, scheduled for April 2020 and postponed to March 2022.
- Co-organizer of a special session at the AMS Sectional Meeting
at Purdue University, scheduled for April 2020 and postponed to March 2022.
- Co-organizer of the conference
Algebraic Geometry and its Broader Implications:
a Celebration of Robin Hartshorne's 80th and the Book's
40th Birthday, University of Illinois at Chicago, March 2018.
- Co-organizer of the conference
Commutative Algebra and its Interactions with Algebraic Geometry:
Tight
Closure, Linkage, and Syzygies. A Conference in Honor of Craig
Huneke's 65th Birthday, University of Michigan, July 2016.
- Co-organizer of the
Midwest Commutative
Algebra and Algebraic Geometry Conference. A Meeting in Honor of Juan
Migliore, University of Notre
Dame, May 2016.
- Co-organizer of the
Midwest Commutative
Algebra Conference, Purdue University, August 2015.
- Co-organizer of the special session
Commutative Algebra and
Algebraic Geometry at the Mathematical Congress of the Americas 2013,
Guanajuato, Mexico, August 2013.
- Co-organizer of the conference
Commutative
Algebra and its Interaction with Algebraic Geometry, CIRM (Centre
International de Rencontres Mathématiques), Luminy, France,
July 2013.
- Co-organizer of the focus period
Rees Algebras and Integral Closure during
the Special Year on Commutative Algebra at MSRI, Berkeley, September 2012.
- Co-organizer of the conference
Algebraic Geometry and
Commutative
Algebra,
IMPA, Rio de Janeiro, Brazil, August 2012.
- Co-organizer of the
3rd Bluegrass Algebra
Conference, University of Kentucky, June 2012.
- Co-organizer of the
Commutative Algebra and Geometry
Conference at Purdue, Purdue University, May 2011.
- Co-organizer of a special session at the AMS Meeting
in Notre Dame, Indiana, November 2010.
- Co-organizer of the conference
Commutative
Algebra and its Interaction with Algebraic Geometry, CIRM (Centre
International de Rencontres Mathématiques), Luminy, France,
November 2010.
- Co-organizer of a special session at the AMS Meeting
in Lexington, Kentucky, March 2010.
- Co-organizer of the summer school
PASI: Commutative Algebra and its Connections to Geometry, Olinda, Brazil,
August 2009.
- Co-organizer of the conference Commutative
Algebra and its Interaction with Algebraic Geometry, CIRM (Centre
International de Rencontres Mathématiques), Luminy, France,
September 2008.
- Co-organizer
of the conference Algebraic Geometry and Commutative Algebra: A
Conference to Celebrate Robin Hartshorne's 70th Birthday,
University of Illinois at Chicago, April 2008.
- Co-organizer of the conference Commutative
Algebra and its Interaction with Algebraic Geometry, BIRS (Banff International
Research Station), Banff, Canada, June 2007.
- Co-organizer of the workshop Integral Closure, Adjoint Ideals
and Cores, AIM (American Institute of Mathematics), Palo Alto,
December 2006.
- Co-organizer of the UIC-Purdue Workshop on Algebraic Geometry and
Commutative Algebra, Purdue University,
December 2006.
- Co-organizer of the conference Commutative
Algebra and its Interaction with Algebraic Geometry, CIRM (Centre
International de Rencontres Mathématiques), Luminy, France,
May 2006.
- Co-organizer of a special session at the AMS
Meeting in Notre Dame, April 2006.
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Co-organizer of the conference Commutative Algebra: Homological and Birational Theory,
BIRS, Banff, Canada, September 2004.
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Co-organizer of the conference Midwest Commutative Algebra and Geometry Meeting: A Conference in Honor of Joseph Lipman,
Purdue University, May 2004.
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Co-organizer of the conference Commutative Algebra and its
Interaction with Algebraic Geometry, CIRM, Luminy, France, June 2003.
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Co-organizer of the workshop Commutative Algebra: Local and Birational
Theory during the Special Year on Commutative Algebra at
MSRI, Berkeley, December 2002.
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Co-organizer of a special session at the First Joint Meeting of the AMS
and UMI (Unione Matematica Italiana), Pisa, June 2002.
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Co-organizer of the conference Commutative Algebra and its
Interaction with Algebraic Geometry, CIRM, Luminy, France, June 2000.
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Co-organizer of a special session at the AMS Winter Meeting in
San Francisco, January 1995.
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Member of the program committee for the First Joint Meeting of the
AMS and DMV (German Mathematical Association), Heidelberg, October 1993.
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Selected Invited Talks:
- IIT Bombay Virtual Commutative Algebra Seminar, IIT Bombay, Mumbai, February 2021 (two talks, virtual).
- Commutative Algebra and Related Topics, IPM, Tehran, January 2021 (virtual).
- Free Resolutions and Representation Theory, ICERM, Brown University, August 2020 (virtual).
- New Mexico State University, Las Cruces, New Mexico, December 2019.
- CIMPA Research School: Syzyies, from Theory to Applications,
Federal University of Paraiba, Joao Pessoa, Brazil, November 2019.
- XXII Coloquio Latinoamericano de Álgebra, Mexico City,
August 2019.
- RRAGE: Ragnar's Ramifications in Algebra and Geometry Emerging,
Fields Institute, Toronto, July 2019.
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University of Michigan, April 2019, January 1998, 1995, February 1985.
- XXV Escola de Álgebra (the biannual Brazilian algebra
meeting), Unicamp, Campinas, Brazil, December 2018 (plenary and
special session talk).
- New Trends in Syzygies, BIRS, Banff, Canada, June 2018.
- University of Notre Dame, May 2018, March 2009, December 1999.
- SLAM (Southwest Algebra Meeting) and University of Arkansas,
February 2018 (2 talks).
- International Conference on Commutative Algebra and its
Interaction to Combinatorics, Discrete Geometry and Singularity
Theory, VIASM (Vietnam Institute for Advanced Study in Mathematics),
Hanoi, Vietnam,
September 2017.
- International Meeting in Commutative Algebra and Related Areas,
University of Sao Paulo, Brazil, July 2017 (four lectures).
- First Joint Meeting Brazil-Italy in Mathematics, IMPA, Rio de
Janeiro, Brazil, August 2016.
- Commutative Algebra and Its Interactions with Algebraic Geometry:
Tight Closure, Linkage, and Syzygies, University of Michigan, July 2016.
- Workshop on Commutative Algebra, VIASM (Vietnam Institute for Advanced Study in Mathematics), Hanoi, Vietnam, June 2016 (2 talks).
- Homological and Computational Methods in Commutative Algebra,
Cortona,
Italy, May 2016.
- University of Illinois, October 2015, April 2007, October 2000,
1986,
July 1984.
- Singular Landscapes, a Conference in Honor of Bernard Teissier's Seventieth Birthday, Aussois, France, June 2015.
- University of Illinois at Chicago, April 2015, September 2005.
- Workshop on Commutative Algebra, VIASM (Vietnam Institute for Advanced Study in Mathematics), Hanoi,
Vietnam, August 2014 (two lectures).
- International Conference on Commutative Algebra and Singularity Theory 2014, Toyama, Japan, July 2014.
- University of the Saarland, Saarbrücken, Germany, July 2013.
- Seminar, MSRI, Berkeley, February 2013.
- Workshop on Representation Theory, Homological Algebra, and Free
Resolutions, MSRI, Berkeley, February 2013.
- Commutative Algebra Meeting, Federal University of Paraiba,
Brazil, January 2013 (three lectures).
- Colloquium, MSRI, Berkeley, October 2012.
- Interactions between Commutative Algebra and Representation
Theory, a Conference in Honor of Ragnar-Olaf Buchweitz's Sixtieth Birthday,
Syracuse University, April 2012.
- Commutative Algebra and Algebraic Geometry Conference, University
of Illinois, November 2011 (joint colloquium and conference
talk).
- André Memorial Conference, École Politechnique
Fédérale de Lausanne, Switzerland, May 2011.
- 32nd Symposium and 6th Japan-Vietnam Joint Seminar on Commutative
Algebra, Hayama, Japan, December 2010 (two lectures).
- School and Workshop on Local Rings and Local Study of
Algebraic Varieties, International Centre for Theoretical
Physics, Trieste, Italy, June 2010 (five lectures).
- AMS Meeting in Lexington, Kentucky, March 2010 (invited address).
- Special Session on Homological Aspects of Module Theory, AMS
Meeting in Boca Raton, Florida, October 2009 (40 minute talk).
- PASI Summer School on Commutative Algebra and its
Connections to Geometry, Olinda, Brazil, August 2009
(three lectures).
- University of South Carolina, November 2008.
- Federal University of Pernambuco, Recife, Brazil, July 2008, August
2004, 2003, July 1998.
- Commutative Algebra: Connections with Algebraic Topology and Representation
Theory, a Conference on the Occasion of Luchezar Avramov's 60th Birthday, University
of Nebraska, May 2008.
- International Conference: Towards Establishing a Cutting-Edge Platform
for Commutative Ring Theory in the 21st Century, Yokohama, Japan, March 2008.
- Hilbert Functions and Syzygies in Commutative Algebra and Combinatorics, a
Conference in Honor of Jürgen Herzog on the Occasion of his 65th Birthday,
Cortona, Italy, September 2007.
- University of California, Berkeley, May 2007, December 2006, March 2006,
November 2002, May 2000, 1999.
- Advances in Algebra and Geometry, MSRI, Berkeley, May 2007.
- Workshop on Integral Closure, Adjoint Ideals and Cores, AIM, Palo Alto,
December 2006.
- Commutative Algebra and Algebraic Geometry Meeting (ALGA), IMPA, Rio
de Janeiro, Brazil, July 2006, 1997.
- CIMPA School on Commutative Algebra, Hanoi, Vietnam,
December 2005 (five lectures).
- University of Nebraska, October 2005.
- Midwest Algebra, Geometry and their Interactions Conference,
University of Notre Dame, October 2005.
- Commutative Algebra Conference Honoring the Contributions of
Phillip Griffith, University of Illinois, September 2005.
- University of Kansas, March 2005.
- Symposium on Commutative Ring Theory, Kurashiki, Japan,
November 2004.
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University of Bochum, Germany, July 2004, June 1995.
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University of Toronto, Canada, January 2004.
- Lisbon Conference on Commutative Algebra, Lisbon, Portugal, June 2003.
- First Joint Meeting of the AMS and the RSME (Real Sociedad Matemática Espanola),
Special Session on Commutative Algebra: Geometric, Homological,
Combinatorial and Computational Aspects, Sevilla, Spain, June 2003.
-
Bluegrass Algebra Conference, University of Kentucky, April 2003.
- MSRI, Berkeley, October 2002.
- Current Trends in Commutative Algebra, Levico, Italy, June 2002.
- Conference on Zero-Dimensional Schemes and Related Topics, Acitrezza, Italy, June 2002.
- First Joint Meeting of the AMS and the SMF (Société
Mathématique de France), Special Session on
Commutative Algebra and its Interactions with Algebraic Geometry,
Lyon, France, July 2001.
-
First Latin American Congress of Mathematicians, Algebra
Session, IMPA, Rio de Janeiro, Brazil, August 2000.
-
Conferences on Commutative Algebra and Algebraic Geometry,
Oberwolfach, Germany, August 1999, May 1996, August 1989,
May 1987, 1985, 1983, 1981.
-
Commutative Algebra and its Related Topics, KIAS
(Korea Institute for Advanced Study), Seoul, Korea, May 1999.
-
Homological Methods in Commutative Algebra
and Algebraic Geometry: a Conference in Honor of David Buchsbaum,
Genova, Italy, June 1998.
-
Conference on Algebraic Geometry and Commutative Algebra,
Guanajuato, Mexico, August 1997.
-
21st Brazilian Colloquium, Algebra Session, IMPA, Rio de Janeiro,
Brazil, July 1997.
-
Conference on Commutative Algebra and Algebraic Geometry, CIRM, Luminy,
France, May 1997.
-
Rutgers University, October 1996, April 1991, February 1990.
-
Summer School on
Commutative Algebra, Centre de Recerca Matematica, Barcelona, Spain, July
1996.
-
Joint Meeting of the AMS and SMM (Sociedad Matemática Mexicana), Special
Session on Commutative Algebra and Algebraic Coding Theory, Guanajuato,
Mexico, November 1995.
-
Workshop in Algebra, Instituto Politecnico
Nacional, Mexico City, November 1995.
-
Conference on Commutative Algebra and Algebraic Geometry,
Federal University of Bahia, Salvador, Brazil, August 1995.
-
University of Essen, Germany, June 1995.
-
University of Köln, Germany, June 1995.
-
École Polytechnique, Palaiseau, France, March 1995.
-
ICM Satellite Conference on Commutative Algebra, Vechta, Germany, July 1994.
-
Conference on Algebra, Dynamical Systems, and Topology, Federal
University of Bahia, Salvador, Brazil, July 1994.
-
Workshop on Commutative Algebra and its Relation to
Combinatorics and Computer Algebra, International Centre for Theoretical
Physics, Trieste, Italy, May 1994 (four lectures).
-
Brandeis University, May 1994, April 1991.
-
MIT, May 1994.
-
Conference on Commutative Algebra and its
Interaction with Computer Algebra and Combinatorics, Essen, Germany, June
1993.
-
Conference on Commutative Algebra and its
Interaction with Algebraic Geometry, University of Missouri, May
1993.
-
Conference on Commutative Algebra,
International Centre for Theoretical Physics, Trieste, Italy, September
1992 (five lectures).
-
Latin American Meeting on Algebra and Algebraic Geometry,
Guanajuato, Mexico, July 1992 (two lectures).
-
AMS Summer
Research Conference on Commutative Algebra: Syzygies, Multiplicities and
Birational Algebra, Mount Holyoke, July 1992.
-
Conference on Free Resolutions in Algebraic Geometry
and Representation Theory, Oberwolfach, Germany, June 1992.
-
International Seminar on Algebra and its
Applications, Instituto Politecnico Nacional, Mexico City, January 1991.
-
ICM-90 Satellite Conference
on Commutative Algebra and Combinatorics, Nagoya University, Japan,
August 1990.
-
Daewoo Conference,
Seoul National University, Korea, August 1990 (two lectures).
-
Conference on
Algebraic Geometry, Commutative Algebra, and Ring Theory, Bucharest,
Romania, July 1989.
-
Midwest Algebraic Geometry Conference, University of Michigan,
March 1989.
-
Commutative Algebra Workshop,
Federal University of Bahia, Salvador, Brazil, August 1988
(three lectures).
-
Microprogram in Commutative Algebra, MSRI, Berkeley, June 1987.
-
Midwest Commutative Algebra
Conference, Purdue University, March 1986.
-
US-Japan Seminar on Commutative Algebra
and Combinatorics, Kyoto, Japan, August 1985.
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Nagoya University, Japan, August 1985.