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Branden Stone


Branden Stone
Branden Stone

Visiting Assistant Professor of Mathematics

Christian A. Johnson 216
315-859-4839

Branden Stone enjoys incorporating research into the undergraduate setting. Currently, his research projects relate to decomposing Betti tables of complete intersection rings as well as implementing symbolic powers of ideals and modules for the computer algebra system Macaulay2.

Stone’s doctoral research focused on the classification of graded countable Cohen-Macaulay rings. He holds a doctoral degree in mathematics from the University of Kansas. He spent two years as a postdoc in the Bard Prison Initiative at Bard College and four years as an assistant professor at Adelphi University on Long Island. In addition to a passion for teaching, in Stone's limited spare time, he enjoys being with his family, engaging in outdoor activities, and playing board games.

 

Recent Courses Taught

Calculus II
Multivariable Calculus

Research Interests

Commutative Algebra, Boij-Söderberg Theory, Macaulay2, Maximal Cohen-Macaulay Modules, Homological Algebra, Algebraic Combinatorics, Hilbert Functions, Finite F-Representation Type.

Select Publications

  • Calculations involving symbolic powers. Joint with Ben Drabkin, Eloísa Grifo, and Alexandra Seceleanu.
  • Recursive strategy for decomposing Betti tables of complete intersections. Joint with Courtney Gibbons and Robert Huben.
  • Generalized Multiplicative Indices of Polycyclic Aromatic Hydrocarbons and Benzenoid Systems. Joint with V.R. Kulli, Shaohui Wang, and Bing Wei, Zeitschrift für Naturforschung A, 72.6 (2017): 573-576.
  • Non-simplicial decompositions of Betti diagrams of complete intersections. Joint with Courtney Gibbons, Jack Jeffries, Sarah Mayes, Claudiu Raicu, and Brian White. Journal of Commutative Algebra 7 (2015), no. 2, 189-206.
  • Non-Gorenstein isolated singularities of graded countable Cohen-Macaulay type. Connections between algebra, combinatorics, and geometry, 299317, Springer Proc. Math. Stat., 76, Springer, New York, (2014).

Appointed to the Faculty: 2018

Educational Background

Ph.D., University of Kansas
M.S., Missouri State University 
B.S., College of the Ozarks 

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