Adela Vraciu

Curriculum vitae

 
Mailing Address :

Department of Mathematics
University South Carolina
Columbia SC 29208
Phone: (803) 576 5878  
E-mail: vraciu@math.sc.edu
Education:
University of Michigan, Ann Arbor, MI (1995--2000)
Ph.D. in Mathematics, August 2000

Thesis:Topics in tight closure .pdf file .ps file
Advisor : Professor Melvin Hochster
University of Bucharest, Romania (1990-1995)
B.S. in Mathematics, June 1995

Thesis: Rings of invariants
Advisor : Professor Dorin Popescu
Awards :
Rackham Graduate School Predoctoral Fellowship, University of Michigan, 1999-2000.
College graduation with special distinction for highest GPA (10), University of Bucharest, June 1995.
Merit Scholarship, University of Bucharest, 1990-1995
Research Interests :
Commutative Algebra: Characteristic p methods, tight closure, Hilbert-Kunz functions, linkage, homological algebra.
Publications :
  • A length characterization of *-spread (with N. Epstein) - submitted.
  • Socle degrees of Frobenius powers (with A. R. Kustin) - Illinois J. Math., to appear.
  • Rings which are almost Gorenstein (with C. Huneke) - Pacific J. Math., to appear.
  • Chains and families of tightly closed ideals - Bull. London Math. Soc., 38 (2006), 201--208.
  • Vanishing of Ext and Tor over some Cohen-Macaulay local rings (with C. Huneke and L. M. Sega) - Illinois J. Math., 48 (2004), 295--317.
  • Tightly closed ideals of small type - Proceedings Amer. Math. Soc., 132 (2003), 341--346.
  • Special tight closure (with C. Huneke) - Nagoya Mathematical Journal, 170 (2003), 175--183.
  • Tight closure and linkage classes in Gorenstein rings - Mathematische Zeitschrift, 244 (2003), 873--885.
  • Strong test ideals - Journal of Pure and Applied Algebra, 167 (2002), 361--373.
  • *-Independence and special tight closure - Journal of Algebra, 249 (2002), 544--565.
  • Local Cohomology of Frobenius Images over graded affine algebras - Journal of Algebra, 228 (2000), 347--356.
    • Teaching Experience :

    Assistant Professor, University of South Carolina (2003-present)
  • Classes taught: Math 141 (Calculus I), Math 546 (Modern Algebra), Math 700 (Linear Algebra), and Math 701 (Abstract Algebra)
    • Assistant Professor, University of Kansas (2000-2003)
  • Classes taught: Math 123 (Linear algebra and multivariable calculus) and Math 122 (Calculus II)
    • Lecturer, University of Michigan (Summer 2000)
  • Classes taught: Math 216 (Introduction to differential equations)
    • Graduate student instructor , University of Michigan (1995-2000)
  • Classes taugth: 105 (Precalculus), Math 115 (Calculus I), and Math 216 (Introduction to differential equations).