SANDRA  SPIROFF

 

University of Mississippi
Department of Mathematics
305 Hume Hall
P.O. Box 1848

University, MS 38677-1848

 

Contact Information

Office: Hume Hall, #335
Telephone: (662) 915-5646
FAX: (662) 915-5491
e-mail:  spiroff@olemiss.edu
 

General Information

Associate Professor, working in the area of Commutative Algebra. Ph.D earned at the University of Illinois at Urbana-Champaign in 2003 advised by Phillip Griffith. Post-doctoral position at the University of Utah from 2003-2006, mentored by Paul Roberts.

Research Software

Automation of the Hilbert-Kunz multiplicity and F-signature calculation for intersection algebras, with G. Johnson. Software files: hilbert-kunz-and-f-sig.zip Software Instructions: directions for use

Research Publications

  • Computing the invariants of intersection algebras of principal monomial ideals, with F. Enescu, International Journal of Algebra and Computation, to appear.
  • Connectedness and Lyubeznik numbers, with L Nunez-Betancourt and E. Witt, International Math Research Notices, (2018) 27 pages, to appear.
  • On the structure of S_2-ifications of complete local rings, with S. Sather-Wagstaff, Rocky Mountain Math J., 48, no. 3 (2018) 947-965.
  • The tropical semi-ring in higher dimensions, with J. Norton, Involve Math J., 11, no. 3 (2018) 477-488.
  • Torsion in kernels of induced maps on divisor class groups, with S. Sather-Wagstaff, J. Alg Appl., 14, (2015) 23 pages.
  • On invariants of complete intersections, Michigan Math. J., 62 (2013) 209-223.
  • The vanishing of a higher codimension analogue of Hochster's theta invariant, with W.F. Moore, G. Piepmeyer, and M.E. Walker, Math. Z., 273, no. 3 (2013) 907-920.
  • On zero divisor graphs, with J. Coykendall, S. Sather-Wagstaff, and L. Sheppardson, Progress in Comm. Alg., Vol. 2, de Gruyter, April 2012, 241-299.
  • Five point zero divisor graphs determined by equivalence classes of zero divisors, with F. Levidiotis, Involve, 4, no. 1 (2011) 53-64.
  • Hochster's theta invariant and the Hodge Index Theorem, with W. F. Moore, G. Piepmeyer, and M. Walker, Advances in Math, 226, no. 2 (2010) 1692-1714; .pdf
  • A zero divisor graph determined by equivalence classes of zero divisors, with C. Wickham, Communications in Alg., 39 (2011) 2338-2348; .pdf
  • Maps on divisor class groups induced by ring homomorphisms of finite flat dimension, with S. Sather-Wagstaff, J. Commutative Algebra, 1, no. 3 (2009) 567-590.
  • An algebraic proof of the commutativity of intersection with divisors, with P. Roberts, J. Algebra, 320 (2008) 2165-2180; .pdf
  • Divisor class groups of graded hypersurfaces, with A. Singh, Contemp. Math, 448 (2007) 237-243; .pdf
  • Asymptotic growth of powers of ideals, with C. Ciuperca and F. Enescu, Illinois J. Math, 51, no. 1 (2007) 29-39; .pdf
  • Restriction of divisor classes to hypersurfaces in characteristic p, with Phillip Griffith, J. Algebra, 275 (2004) 801-814; .pdf
  • The limiting behavior on the restriction of divisor classes to hypersurfaces, J. Pure Appl. Alg. , 186 (2004) 77-89; .pdf
     

    Inclusion and Equality Initiatives

    • National and Gulf States Math Alliance
    • Women in Commutative Algebra: Research Network Co-organized with Karen Smith (Michigan); Irena Swanson (Reed); Emily Witt (Kansas)
    • Banff Workshop 2019 (Travel to BIRS is partially supported by AWM ADVANCE grant NSF-HRD 1500481)
    • AWM Research Symposium 2019 at Rice: Special Session in Commutative Algebra co-organized with Adela Vraciu, University of South Carolina.
    • Confirmed speakers include Susan Cooper (Manitoba); Haydee Lindo (Williams); Rebecca R.G. (Syracuse); Alexandra Seleceanu (Nebraska-Lincoln); Liana Sega (Missouri-K.C.); Hema Srinivasan (Missouri); Janet Vassilev (New Mexico); Oana Veliche (Northeastern)

    Teaching

    I have long been interested in the teaching of mathematics.  As a former high school teacher and teaching assistant, I have taught a variety of courses, using several different instructional methods.  As a Visiting Assistant Professor at the University of Nebraska-Lincoln during the summer of 2007, I team taught an Algebra course for incoming graduate students based on a publication in Communications in Algebra. At Seattle University, I implemented the WeBWorK homework system, which I learned how to use at the University of Utah. As a graduate student at the University of Illinois, I worked as a Research Assistant, in the area of secondary mathematics teacher education, with Professors Susan Tolman and John Sullivan.  Their project, a cooperation between the Mathematics and Education departments at the University and Danville High School, sought to improve teacher preparation.  At the University of Utah, I was an active participant in the Math Circle program for high school students, directed by Peter Trapa.  Moreover, I have worked with REU students through the VIGRE grant.  Some of my old course experience is listed in the table below.  An old summary of my educational experience, is available in this teaching vita.

     

    COURSE(S)

    LEVELS TAUGHT

    INSTRUCTIONAL METHOD

    Calculus I, II, Bus. Calc.

    College & High School

     Calculus and MathematicaMerit Workshop , Active Learning, Lecture 

    College & Intermediate Algebra

    College

    Active Learning/Lecture/Discussion

    Geometry, Algebra, Basic Math

    High School

    Lecture/Active Learning

    Professional Activities

     


    Past Professional Activities