Curriculum Vitae (PDF version)


Research Interests



  1. Recursive strategy for decomposing Betti tables of complete intersections.
    Joint with C. Gibbons and R. Huben.
    (Recently Submitted)

  2. Generalized Multiplicative Indices of Polycyclic Aromatic Hydrocarbons and Benzeniod Systems.
    Zeitschrift für Naturforschung A, 72.6 (2017): 573-576.
    Joint with V.R. Kulli, Shaohui Wang, and Bing Wei.

  3. Non-simplicial decompositions of Betti diagrams of complete intersections.
    J. Commut. Algebra 7 (2015), no. 2, 189–206.
    Joint with Courtney Gibbons, Jack Jeffries, Sarah Mayes, Claudiu Raicu, and Brian White. Results from a summer workshop in commutative algebra at MSRI, 2011.

  4. A sequence defined by M-sequences.
    Discrete Math. 333 (2014), 35–38.
    Joint with Tom Enkosky.

  5. Non-Gorenstein isolated singularities of graded countable Cohen-Macaulay type.
    Connections between algebra, combinatorics, and geometry, 299–317, Springer Proc. Math. Stat., 76, Springer, New York, 2014.

  6. Super-stretched and graded countable Cohen-Macaulay type.
    Journal of Algebra 398C (2014), pp. 1-20.
    [Article], [arXiv:1301.3593]

  7. Computing free bases for projective modules
    The Journal of Software for Algebra and Geometry (2013).
    Joint with Brett Barwick.
    [Article] , [M2]

  8. Ideals with Larger Projective Dimension and Regularity.
    Journal of Symbolic Computation (2011).
    Joint with Jesse Beder, Jason McCullough, Luis Nunez, Alexandra Seceleanu, and Bart Snapp.
    [Article], [arXiv:1101.3368]

Macaulay 2 Packages


Honours and Awards

Upcoming Presentations

Past Presentations

Gatherings Organized

Services and Outreach

Courses Taught

Adelphi University

University of Nebraska – Lincoln (IMMERSE)

Bard College

Eastern Correctional Facility (BPI)

Woodourne Correctional Facility (BPI)

NSF GK-12 Fellow

As an NSF Graduate STEM Fellow in K-12 Education (GK-12), I implemented inquiry based learning in middle school mathematics classrooms in Kansas City and I was a teaching assistant in an inquiry based learning course for undergraduate mathematics education majors.
(June 2010 - May 2012)

University of Kansas

Research with Undergrads

Technical Skills

Professional Membership

Upcoming Conferences To Attend

Past Conferences Attended