Janet C. Vassilev

 

                                Department of Mathematics, Surge 233

                                UC Riverside, Riverside, CA 92521

                                (951) 827-2030
                                jvassil *at*math.ucr.edu

 

 

Biographical Information (full CV)

My primary research interest is Commutative Algebra and Algebraic Geometry and in particular:

*      Tight Closure

*      Singularity Theory

*      Local Cohomology

*      Full ideals

Ph.D., Mathematics, UCLA, Test ideals in Gorenstein isolated singularities and F-finite reduced rings (1997).

Advisors: Richard Elman (UCLA) and Craig Huneke (University of Kansas, formerly of Purdue University).

B.A., Mathematics, University of Chicago (1991).

Click to see my CV, research statement and teaching statement (in pdf format) and links to some papers.

 

*      When is the tight closure determined by the test ideal?  with Adela Vraciu, submitted.

*      Structure on the set of closure operations of a commutative ring, to appear in J of Alg.

*      Local Cohomology Modules with Infinite Dimensional Socles, with T. Marley, Proc. Amer. Math. Soc., (132) (2004), 3485-3490.

*      Cofiniteness and associated primes of local cohomology modules, with T. Marley, J. of Alg., (256) (2002), no. 1, 180-193.

*      Test Ideals in Quotients of F-finite regular local rings, Trans. A.M.S., (350) (1998), 4041-4051.

*      Test Ideals in Gorenstein isolated singularities and F-finite reduced rings, Thesis, University of California, Los Angeles, 1997.

 

 

 

 

 

Course Information for students

Spring 2008 Courses

*       MATH 9B Calculus

*     MATH 144 Set Theory

Winter 2008 Courses

*       MATH 9C Calculus

*     MATH 132 Linear Algebra II

            Fall 2007 Courses

 

*      MATH 9B Calculus

*      MATH 120 Optimization

 

          Spring 2007 Courses

*       MATH 133 Geometry

 

Winter 2007 Courses

*      MATH 9C Calculus

*      MATH 10A Multivariable Calculus

*      MATH 132 Linear Algebra II

Fall 2006 Courses

*      MATH 9A Calculus

*     MATH 131 Linear Algebra I

Spring 2006 Courses

*      MATH 9B Calculus

*      MATH 9C Calculus

Winter 2006 Courses

*      MATH 46 Differential Equations

Fall 2005 Courses

*       MATH 9A Calculus

 

Mathematics Web points of interest:

*      American Mathematical Society

*      Combined Membership List Search

*      Mathematics on the Web

*      MathSciNet

*      Penn's Math Arround the World

*      commalg.org

*      ArXiv

 

 Last update 2008