Contact Information
Department:
Department of Mathematics
The University of Kansas
405 Snow Hall
1460 Jayhawk Blvd
Lawrence, KS 66045 USA
Phone:
(785) 864-7303
Fax:
(785) 864-5255
E-mail:
dlk53@ku.edu
Education
B.S. in Mathematics, The University of Texas at Austin, 1975
M.A. in Mathematics, Brandeis University, 1976
Ph.D. in Mathematics, The University of Texas at Austin, 1982
Professional Experience
1994-present, Professor, Department of Mathematics, University of Kansas
2012-2017, Departmental Chair, Department of Mathematics, University of Kansas
1987-1994, Associate Professor, Department of Mathematics, University of Kansas
1984-1987, Assistant Professor, Department of Mathematics, University of Kansas
1982-1984, Visiting Assistant Professor, Department of Mathematics, University of Oklahoma
Research Interests
Commutative Algebra
Homological Algebra
Algebraic Geometry
Publications
A note on asymptotic prime sequences
Proc. AMS 87 (1983), 415-418.
A criterion for complete intersections to be self-radical
Arch. Math., Vol. 42, 423-425 (1984). (Correction: Vol. 43, 574-575 (1984)).
On the integrity of ideal transforms
Houston Jl. Math., Vol. 10, No. 3 (1984), 415-421.
Prime divisors, asymptotic R-sequences and unmixed local rings
Journal of Algebra, 95 (1985), 59-71.
Essential prime divisors and sequences defined over an ideal
(with L. J. Ratliff Jr.), Nagoya Jl. Math., Vol. 103 (1986) 39-66.
On the number of minimal prime ideals in the completion of a local domain
Rocky Mtn. Jl. Math., Vol. 16, No. 3 (1986) 575-578.
On the symbolic Rees ring of a primary ideal
(with L.J. Ratliff, Jr.), Communications in Algebra, Vol. 14, No. 5 (1986), 959-970.
Projective equivalence and form rings
(with L.J. Ratliff, Jr.), Math. Proc. Camb. Phil. Soc., Vol. 99 (1986), 447-456.
Two applications of asymptotic and essential sequences
Houston Jl. Math., Vol. 13, No. 1 (1987), 65-73.
Pole assignability in polynomial rings, power series rings, and Prufer domains
(with J. Brewer and W. Ullery), Jl. of Algebra, Vol. 106, No. 1 (1987), 265-286.
On the pole assignability property over commutative rings
(with J. Brewer and W. Ullery), Jl. of Pure and Applied Algebra, Vol. 47 (1987), 1-7.
On ideal transforms, Rees rings and Krull rings
(with P. Eakin, W. Heinzer, and L.J. Ratliff, Jr.), Jl. of Algebra, Vol. 110, No. 2 (1987), 407-419.
Projective equivalence and asymptotic prime divisors
(with S. McAdam, J. Okon and L.J. Ratliff Jr.), Jl. of Algebra, Vol. 109, No. 2 (1987), 468-478.
Two notes on ideal transforms
(with L.J. Ratliff, Jr.), Math. Proc. Camb. Phil. Soc., Vol. 102 (1987), 389-397.
On the prime divisors of IJ when J is integrally closed
(with L.J. Ratliff, Jr.), Arch. Math, Vol 50 (1988), 55-57.
Note on multiplicity
Proc. AMS, 104, No. 4 (1988), 1921-1026.
Complexes associated to two vectors and a rectangular matrix
J. Algebra 118 (1988), 230-255.
Two asymptotic functions
(with S. McAdam), Communications in Algebra, Vol. 17, No. 5 (1989), 1069-1091.
Prime divisors and divisorial ideals
(with S. McAdam and L.J. Ratliff, Jr.), Jl. of Pure and Applied Algebra, 58 (1989), 179-186.
Extended Rees algebras and mixed multiplicities
(with J.K. Verma), Math. Zeitschrift, 202 (1989), 111-128.
Note on Projective modules
Mathematica Pannonica, Vol. 1, No. 2 (1990), 3-5.
Uniform bounds in Noetherian rings
(with C. Huneke), Inventiones Math. 107 (1992), 203-223.
On the degrees of lattice syzygies
Archiv der Math. 59 (1992), 437-442.
Multiplicity of blow-ups associated to almost complete intersection space curves
(with J.K. Verma), Comm. in Alg. Vol. 22, No. 2 (1994), 721-734.
Generating ideals up to projective equivalence
Proc. AMS, Vol. 120, No. 1 (1994), 79-83.
Torsion-free modules and syzygies
Mathematica Pannonica, Vol. 5, No. 1 (1994), 7-13.
On the relation type of large powers of an ideal
(with B. Johnston), Mathematika, Vol. 41 (1994), 209-214.
Complexes acyclic up to integral closure
Math. Proc. Camb. Phil. Soc., Vol. 116 (1994), 401-414.
Hilbert functions of bigraded algebras
(with J. K. Verma and S. Mandal), Commutative Algebra: September 1992, Trieste, World Scientific, Singapur, edited by A. Simis, N. Trung, and G. Valla (1994), 291-303. (Paper was refereed.)
Castelnuovo regularity and graded rings associated to an ideal
(with B. Johnston), Proc. AMS, Vol. 123, No. 3 (1995), 727-734.
Reduction criteria for modules
Communications in Algebra, Vol. 17, No. 12 (1995), 4543-4548.
A note on associated and attached primes
Archiv der Math. 64 (1995), 205-209.
Prime ideals associated to symmetric powers of a module
(with C. Naude), Communications in Algebra, Vol. 17, No. 12 (1995), 4549-4555.
A note on the coefficients of the Hilbert-Samuel polynomial of certain local Gorenstein rings
(with J. Herzog and E. Kunz), Mathematische Zeitschrift 192 (1986), 15-20.
On the coefficient function of local cohomology modules
J. Algebra 99 (1986), 40-49.
Symmetric powers of complete modules over a two-dimensional regular local ring
(with V. Kodiyalam), Trans. AMS, Vol. 349 (1997), 747-762.
Sequences and Ker(R[Xā, ..., Xg] ā R[tI])
(with L. J. Ratliff, Jr.), Jl. Pure and Appl. Vol. 122 (1997), 265-275.
On the existence of maximal Cohen-Macaulay modules over pth root extensions
Proc. AMS, Vol. 127 (1999), No. 9, 2601-2609.
A linear function associated to asymptotic primes
(with E. West), Proc. AMS, Vol. 132 (2004), 1589-1597.
Fitting ideals and finite projective dimension
(with C. Huneke and D. Jorgensen), Math. Proc. Camb. Phil. Soc., Vol. 138 (2005), 41-54.
Integral closure of ideals and annihilators of homology
(with A. Corso, C. Huneke and W. Vasconcelos), Lecture Notes in Pure and Applied Mathematics, Vol 224 (2006), 33-48.
On the degree of Hilbert polynomials associated with the torsion functor
(with E. Theodorescu), Proc. AMS, Vol 135 (2007), 3073-3082.
Hilbert polynomials for the extension functor
(with E. Theodorescu), Jl. of Algebra, Vol 319 (2008), 2319-2336.
Asymptotic prime divisors of torsion free symmetric powers of modules
(with G. Rice), Jl. of Algebra, Vol 319 (2008), 2209-2234.
On the support of local cohomology modules
(with C. Huneke and T. Marley), Jl. of Algebra, Vol 322 (2009), 3194-3211.
Uniform equivalence of symbolic and adic topologies
(with C. Huneke and J. Validashti), Illinois Jl. Math., Vol 53, No. 1 (2009), 325-338.
Multiplicities and Rees Valuations
(with J. Validashti), Collectanea Mathematica, Vol 61, No. 1 (2010), 1-24.
Hilbert Polynomials for the contravariant extension functor
(with A. Crabbe, J. Striuli, E. Theodorescu), Nagoya Math. Jl., Vol. 198 (2010), 1-22.
Quasi-finite modules and asymptotic prime divisors
(with T. Puthenpurakal), Jl. of Algebra, Vol 380 (2013), 18-29.
Uniform symbolic topologies and finite extensions
(with C. Huneke and J. Validashti), Journal Pure and Applied Algebra, Vol 219 (2015), 543-550.
Reductions and special parts of closures
(with C. Huneke), Commutative Algebra and Noncommutative Algebraic Geometry, Vol. I (2015), 19-36.
Mixed Multiplicities, Joint Reductions, and a Rees-Sally Type Formula
(with V. Kodiyalam and J. Verma), Rocky Mountain J. of Math, Vol. 46, No. 1 (2016), 159-189.
Uniform symbolic topologies and finite extensions
(with C. Huneke), Trans. AMS, 368 (2016), 6715-6737.
Uniform symbolic topologies via multinomial expansions
(with C. Huneke), Algebra and Number Theory, 11 (2017), 1-16.
Uniform symbolic topologies in abelian extensions
(with C. Huneke), Trans. AMS, Vol 372, No 3 (2019), 1735-1750.
Conductors in mixed characteristic
Jl of Algebra, Vol 571 (2021), 350-375.
On the integral closure of radical towers in mixed characteristic
(with P. Sridhar), Jl of Commutative Algebra, Vol. 15 (2023), No. 4, 543-558.
Uniform symbolic topologies and hypersurfaces
(with C. Huneke), Acta Mathematica Vietnamica, Vol. 49 (2024), No. 1, 99-113.
On abelian extensions in mixed characteristic and ramification in codimension one
(with P. Sridhar), International Mathematics Research Notices, 2025 (11) 1-16.
On ideals with submaximal analytic spread
(with J.G. Serio), Rend.Sem.Mat.Univ.Padova, to appear.
Preprints
Joint reductions and mixed Buchsbaum-Rim multiplicities and a joint-reduction-number-zero theorem
with V. Kodiyalam and J. Verma (submitted for publication)
Sā-ifications and a uniform Briancon-Skoda theorem for non-reduced rings
with T. Polstra
Conference Talks
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Columbia, Missouri, 1985
Invited one-hour speaker, Florida Atlantic University Conference on Pure and Applied Algebra, Boca Raton, Florida, 1986
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Knoxville, Tennessee, 1988
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Springfield, Missouri, 1992
Invited speaker, special session in Commutative Algebra, national meeting of the AMS, San Antonio, Texas, 1993
Invited speaker, special session in Commutative Algebra: Rees algebras and related topics, national meeting of the AMS, San Francisco, California, 1995
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Orlando, Florida, 1995
Invited 30-minute speaker, Summer School on Commutative Algebra, Centre de Recerce Matematica, Belleterra, Spain, 1996
Invited speaker, special session in Commutative Algebra, national meeting of the AMS, Seattle, Washington, 1996
Invited speaker/participant (co-author presented paper), special session in Commutative Algebra, Columbia, Missouri, 1996
Invited speaker, special session in Commutative Algebra and Algebraic Geometry, national meeting of the AMS, Baltimore, MD, 1998
Invited forty-five minute talk, Conference on Algebraic Geometry, Columbia, MO, 1998
Invited plenary talk, Conference on Commutative Algebra in Honor of the 80th Birthday of David Rees, Exeter, England, 1998
Invited speaker, special session in Commutative Algebra and Algebraic Geometry, Joint International Meeting of the AMS and Sociedad Matematica Mexicana, Denton TX, 1999
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Salt Lake City, UT, 1999
Invited speaker, Centennial Conference on Commutative Algebra, Lincoln, NA, 2000. (Not a plenary talk.)
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Ann Arbor, MI, 2002
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Orlando, FL, 2002
Invited speaker, International Conference on Commutative Algebra, Lisbon, Portugal, 2003. (Not a plenary talk.)
Invited speaker, KUMUNU 5 Algebra Conference, Lawrence, KS, 2003
Invited speaker, WiegandFest, Lincoln, NE, 2005. (Not a plenary talk.)
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Salt Lake City, Utah, 2006
Invited speaker, special session in Local and Homological Methods in Commutative Algebra, regional meeting of the AMS, Urbana-Champagne, Il, 2009
Invited speaker, special session on Commutative Algebra, regional meeting of the AMS, Albuquerque, NM, 2010
Invited speaker, KUMUNU 11 Algebra Conference, Columbia MO, 2012
Invited fifty minute speaker, Commutative Algebra Conference in Honor of Craig Huneke's 65th Birthday, Ann Arbor Michigan, 2016
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Charlottesville, Virginia, 2020. Sessions held remotely via Zoom.
Invited speaker, special session in Commutative Algebra, regional meeting of the AMS, Omaha, NE, 2023
Invited Speaker, KUMUNU 24 Algebra Conference, Columbia, MO, 2025
Conferences Attended as a Participant
Special session in Algebra, regional meeting of the AMS, Norman, OK, 1983
Conference in honor of Irving Kaplansky's Chicago retirement, Chicago, Illinois, 1984
Microprogram in Commutative Algebra, MSRI, Berkeley, California 1987
Midwest Conference on Commutative Algebra and Algebraic Geometry, Purdue University, 1989
Special session in Commutative Algebra, regional meeting of the AMS, Manhattan, Kansas, 1990
Great Plains Workshop in Commutative Algebra, Lincoln, Nebraska, 1991
AMS Summer Research Conference on Commutative Algebra, Mt. Holyoke, Massachusetts, 1992
Algebraic Geometry: Interactions between Commutative Algebra and Algebraic Geometry, University of Missouri, 1993
Midwest Conference on Algebraic Geometry, Notre Dame University, 1997
MSRI Workshop, Commutative Algebra: Local and Birational Theory, Berkeley, CA, 2002
MSRI Workshop, Commutative Algebra: Interactions with Homological Algebra and Representation Theory, Berkeley, CA, 2003
KUMUNU 6 Algebra Conference, Lawrence, KS, 2004
KUMUNU 7 Algebra Conference, Lawrence, KS 2006
American Institute of Mathematics Workshop on Integral Closure, Multiplier Ideals and Core, 2006
KUMUNU 8 Algebra Conference, Lincoln, NE, 2007
Commutative Algebra: Connections with Algebraic Topology and representation Theory, Lincoln, NE, 2008
KUMUNU 9 Algebra Conference, Lincoln, NE, 2008
Invited participant, Kommutative Algebra, Mathematisches Forschungsinstitut Oberwolfach, Germany, 2009
KUMUNU 10 Algebra Conference, Lincoln, NE, 2011
KUMUNU 13 Algebra Conference, Columbia, MO, 2014
KUMUNU 14 Algebra Conference, Columbia, MO, 2015
KUMUNU 15 Algebra Conference, Lawrence, KS, 2016
KUMUNU 16 Algebra Conference, Lawrence, KS, 2017
KUMUNU 17 Algebra Conference, Lawrence, KS, 2018
KUMUNU 20 Algebra Conference, Lincoln, NE, Spring 2022
KUMUNU 21 Algebra Conference, Lincoln, NE Fall 2022
KUMUNU 23 Algebra Conference, Columbia Missouri, 2024
RayFest, conference in honor of Ray Heitmann's retirement, Lincoln, NE, 2025
Conferences Organized
Co-organizer (with J. Lang), special session in Commutative Algebra, regional meeting of the AMS in Lawrence, Kansas, 1988
Co-organizer (with S. Mandal), Great Plains Workshop in Commutative Algebra, Lawrence, Kansas, 1992
Co-organizer (with C. Huneke), special session in Commutative Algebra, regional meeting of the AMS, Lawrence, KS, 2001
Organizer, KUMUNU 4 Algebra Conference, Lawrence, KS, 2002
Co-organizer (with H. Dao and C. Huneke), Special session on Topics in Commutative Algebra, regional meeting of the AMS, Lawrence, KS, Spring 2012
Co-organizer (with H. Dao, D. Hernandez, and E. Witt), KUMUNU 15 Algebra Conference, Lawrence, KS, 2016
Co-organizer (with H. Dao), KUMUNU 16 Algebra Conference, Lawrence, KS, 2017
Co-organizer (with H. Dao), KUMUNU 17 Algebra Conference, Lawrence, KS, 2018
Co-Organizer (with T. Marley), Special session on Topics in Commutative Algebra, regional meeting of the AMS, Lawrence, KS, Spring 2025
External Seminars and Colloquia
Invited one hour seminar talk, Purdue University Algebra Seminar, 1985
Invited one hour colloquium talk, Florida State University, 1993
Invited one hour talk, Florida State University Algebra Seminar, 1993
Invited one hour colloquium talk, Florida Atlantic University, 1993
Invited one hour talk, Florida Atlantic University Algebra Seminar, 1993
Invited two one hour talks, Purdue University Algebra Seminar, 1997
Invited one hour talk, Purdue University Algebra Seminar, 2006
Invited one hour talk, KU Mathematics Faculty Seminar, 2008
Invited one hour talk, University of Nebraska Algebra Seminar, Lincoln, NE, 2008
Invited one hour talk, University of Nebraska Algebra Seminar, Lincoln, NE, 2010
Invited one hour colloquium talk, University of Nebraska, Lincoln, NE, 2010
Invited two one hour talks, Virtual Commutative Algebra Seminar, hosted by IIT Bombay, 2021
Research Visits
Purdue University (Summer 1985)
Purdue University (June 1986)
Purdue University (June 1987)
University of Virginia (June 2015)
University of Virginia (June 2018)
Other Professional Activities
Referee for various mathematical journals including: Journal of Algebra, Communications in Algebra, Journal of Pure and Applied Algebra, Proceedings of the AMS, Transactions of the AMS, Illinois Journal of Mathematics, American Journal of Mathematics, Advances in Mathematics, Journal of Commutative Algebra
Associate Editor, Rocky Mountain Journal of Mathematics (2007-2015)
Grants and Awards
New Faculty Award, University of Kansas, 1985
General Research Fund, University of Kansas, l986-l989, 1993, 1994, 2002
G. Baley Price Award for Excellence in Graduate Teaching, 1990, 1995, 2016, 2024
CTE Award for excellence in graduate teaching, 1999
Max Wells Teaching Award, 2010
PI, NSF grant in support of KUMUNU 2016 (Co-PIs Dao, Hernandez, Witt)
Co-PI (with H. Dao), NSF grant in support of KUMUNU 2017
Co-PI (with H. Dao), NSF grant in support of KUMUNU 2018
Postdocs Mentored
Jugal Verma (PhD Purdue University, 1987)
Vijay Kodiyalam (PhD Purdue University, 1993)
Javid Validashti (PhD Purdue University, 2007)
Pedro Lima (PhD University of Sao Paulo, 2012)
PhD Students Advised
Eric West, 2001
Primes associated to multigraded modules
Emanoil Theodorescu, 2002
Derived functors and Hilbert polynomials
Glenn Rice, 2005
Asymptotic properties of torsion-free symmetric powers of modules
Grant Serio, 2016
Multiplicities in commutative algebra
Prashanth Sridhar, 2021
Finding maximal Cohen-Macaulay modules and reflexive modules
PhD Final Exam Committees as Non-Chair
David Nelson, 1991
Shine Min Line, 1991
Yuanqian Chen, 1992
Catalin Ciuperca, 2001
Yongwei Yao, 2002
Giulio Caviglia, 2002
Neil Epstein, 2005
Bahman Engheta, 2005
Janet Striuli, 2005
Manoj Kummini, 2008
Ananth Hariharan, 2009
Branden Stone, 2012
Billy Sanders, 2015
Tony Se, 2016
Brent Holmes, 2018
Ken Duna, 2019
Justin Lyle, 2020
Bibekananda Mishra, 2021
Dylan Beck, 2022
Souvik Dey, 2023
John Portin, 2024
Trevor Arrigoni, 2024
Abraham Pascoe, 2024
Monalisa Dutta, 2024
Recent PhD Comprehensive Oral Exam Committees
Ananth Hariharan, 2009
Brenden Stone, 2012
Billy Sanders, 2015
Tony Se, 2016
Brent Holmes, 2018
Ken Duna, 2019
Justin Lyle, 2020
Bibekananda Mishra, 2020
Kevin Marshall, 2022
Dylan Beck, 2022
John Portin, 2022
Souvik Dey, 2023
Trevor Arrigoni, 2023
Abraham Pascoe, 2024
Monalisa Dutta, 2024
Masters Students Advised
Joseph Shaffer, 1986
Keith McGaffin, 1987
Eric West, 1993
Steve Abele, 1994
Stacey Longmire, 1995
Eva Thanheiser, 1998
Lauren Jacobs, 2000
Will Hickman, 2010
David Jones, 2011
Nick Packauskas, 2013
Eric Huang, 2021
Emily Hastings, 2025 (co-advisor with Daniel Hernandez)
Recent MA Oral Exam Committees
Nathan Welch, 2013
Zach Flores, 2014
Luke Eichelberger, 2016
Undergraduate Honors Theses Supervised
Zach Nason, 2020
Kashif Khan, 2024
Andrew Lin, 2025
Undergraduate Honors Thesis Committee
Triston Ruiseco, 2022
Departmental Committees
Graduate Studies
Undergraduate Curriculum
Honors
Salary
Library
Hiring (Chair, 1997-1998, co-chair, 2007-2008)
Organizational Committee for 1988 Regional Meeting of the AMS
Promotion and Tenure (Chair, 1998-1999, 2005, 2019, co-chair, 2008)
Evaluation of Teaching
Director of Graduate Admissions (1991-1994)
Director of Graduate Studies (1994-1997, 2010-2012)
Departmental Self Study Committee (1995 and 2016)
Bischoff Search Committee
Research Environment
Executive Committee
Sabbatical
Endowment
By-laws Committee (Chair, 2022-2024)
External Review Response Committee (Fall 2011)
Interim Departmental Chair, Spring 2012
Departmental Chair, AY 2012-2017
Progress Towards Tenure Review (Chair, AY 2017-2018, AY 2018-2020, AY 2023-2024)
Post Tenure Review (Chair, AY 2019-2020, AY 2023-2024)
Nominating Committee
Distinguished Lecture Series Committee
College and University Committees
Selection Committee for Undergraduate Research Awards (1995-2003)
Selection Committee for Dissertation Fellowships (1996-1997)
CLAS Committee on Graduate Studies (2010-2012)
New KU Core Curriculum Goal 1 Satellite Committee (Fall 2011)
Member of College Academic Council (Fall 2014-Spring 2017)
Provost's Advisory Committee (AY 2014-2015)
CLAS Dean's Cabinet (AY 2014-2015)
CLAS Faculty Mentor (AY 2017-2018)
University Core Curriculum Committee (Fall 2021 - Spring 2024)
Courses Taught at KU
Math 105, Introduction to Topics in Mathematics
Math 111, Linear Algebra
Math 115, Calculus I
Math 116, Calculus II
Math 121, Calculus I
Math 122, Calculus II
Math 127, Calculus III
Math 142, Honors Calculus II (older version)
Math 143, Honors Calculus III (older version)
Math 147, Honors Calculus III
Math 223, Vector Calculus
Math 243, Honors Vector Calculus
Math 290, Elementary Linear Algebra
Math 365, Elementary Statistics
Math 450, Mathematical Foundations of Computer Science
Math 500, Intermediate Analysis
Math 526, Applied Statistics I
Math 540, Elementary Number Theory
Math 558, Introductory Modern Algebra
Math 590, Linear Algebra
Math 790, Linear Algebra II
Math 791, Modern Algebra I
Math 792, Modern Algebra II
Math 830, Abstract Algebra I
Math 831, Abstract Algebra II
Math 910, Algebraic Curves
Math 915, Introduction to Homological Algebra
Math 996, Various advanced topics in algebra