PH.D. STUDENTS

Note: thesis titles are given in brackets. If a PostScript or PDF version of the thesis is available here, the title is lettered in blue and underlined.

Ronald E. Kutz, University of Minnesota, 1972 [ Cohen-Macaulay rings and ideal theory in rings of invariants of algebraic groups]

Eloise A. Hamann, University of Minnesota, 1973 [ On the R-invariance of R[X] ]

Gerald A. Reisner, University of Minnesota, 1974 [ Cohen-Macaulay quotients of polynomial rings]

Sankar P. Dutta, University of Michigan, 1981 [ Multiplicities over local rings]

Richard S. Fedder, University of Michigan, 1983 [ F-purity and rational singularity]

Jee Heub Koh, University of Michigan, 1983 [ The direct summand conjecture and behavior of codimension in graded extensions]

Frank Ma, University of Michigan, 1983 [ Splitting in module finite extensions and Cohen-Macaulay modules and algebras]

Mary Thompson, University of Michigan, 1985 [ Topics in the ideal theory of commutative Noetherian rings]

Larry Santoni, University of Michigan, 1988 [ Horrocks' question for monomially graded modules]

Ian Aberbach, University of Michigan, 1990 [ Finite phantom projective dimension and a phantom analogue of the Auslander-Buchsbaum theorem]

Hyesook Chun, University of Michigan, 1990 [ Hilbert series for graded quotient rings of 2-forms]

Donna J. Glassbrenner, University of Michigan, 1992 [ Invariant rings of group actions, determinantal rings, and tight closure]

Lori J. Williams, University of Michigan, 1992 [ Uniform stability of kernels of Koszul cohomology indexed by the Frobenius endomorphism]

Shou-te Chang, University of Michigan, 1993 [ The asymptotic behavior of Hilbert-Kunz functions and their generalizations]

Karen E. Smith, University of Michigan, 1993 [ Tight closure of parameter ideals and F-rationality]

Juan Diego Velez, University of Michigan, 1993 [ Openness of the F-rational locus, smooth base change and Koh's conjecture]

Mordechai Katzman, University of Michigan, 1994 [ Some finiteness properties of the Frobenius endomorphism and their applications to tight closure]

Brian MacCrimmon, University of Michigan, 1996 [ Strong F-regularity and boundedness questions in tight closure]

Moira Ann McDermott, University of Michigan, 1996 [ Tight closure, plus closure and Frobenius closure in cubical cones]

Douglas John McCulloch, University of Michigan, 1997 [ Tight closure and base change ]

Amy Michelle Huston, University of Michigan, 1997 [ Clout strategy in single-suit card play ]

Carolyn Ann Yackel, University of Michigan, 1998 [ Asymptotic behavior of annihilator lengths in certain quotient rings ]

Anurag K. Singh, University of Michigan, 1998 [ F-regularity, F-rationality and F-purity]

Douglas Hanes, University of Michigan, 1999 [ Special conditions on maximal Cohen-Macaulay modules, and applications to the theory of multiplicities]

Nandini Ranganathan, University of Michigan, 2000 [ Splitting in module-finite extension rings and the vanishing conjecture for maps of Tor ]

J. Bruce Fields, University of Michigan, 2000 [ Length functions determined by killing powers of several ideals in a local ring ]

Adela Vraciu, University of Michigan, 2000 [ Topics in tight closure theory ]

Florian Enescu, University of Michigan, 2001 [ A study of F-rationality and F-injectivity ]

Haggai Elitzur, University of Michigan, 2003 [ Tight closure in Artinian modules ]

Geoffrey D. Dietz, University of Michigan, 2005 [ Closure operations in positive characteristic and big Cohen-Macaulay algebras ]

Hai Long Dao, University of Michigan, 2006 [ Homological properties of modules over complete intersections ]

Charles Christopher Mueller, University of Michigan, 2007 [ On the variety of pairs of matrices whose product is symmetric ]

Hannah Reid Robbins, University of Michigan, 2008 [ Finiteness of associated primes of local cohomology modules ]

Joe F. Stubbs, University of Michigan, 2008 [ Potent elements and tight closure in Artinian modules]

Tigran Ananyan, University of MIchigan, 2009 [ Topics in tight closure theory]

Hsu-Wen Vincent Young, University of Michigan, 2011 [ Components of algebraic sets of commuting and nearly commuting matrices]

Emily E. Witt, University of Michigan, 2011 [ Local cohomology and group actions]

Ajinkya More, University of Michigan, 2012 [ Symbolic powers and other contractions of ideals in Noetherian rings ]

Luis Cristóbal Núñez-Betancourt, University of Michigan, 2013 [ Finiteness properties of local cohomology and applications ]

Linquan Ma, University of Michigan, 2014 [ The Frobenius endomorphism and multiplicities ]

Ashley K. Wheeler, University of Michigan, 2014 [ Ideals generated by principal minors ]

Zhibek Kadyrsizova, University of Michigan, 2015 [ Tight closure, F-purity, and varieties of nearly commuting matrices ]

Rebecca Rebhuhn-Glanz, University of Michigan, 2016 [ Closure operations that induce big Cohen-Macaulay modules and algebras, and classification of singularities ]