Timothy Blake Ridenour

Lecturer Doc Sch

Weissman School of Arts and Sciences

Department: Mathematics

Areas of expertise:

Email Address: timothy.ridenour@baruch.cuny.edu

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Education

Ph.D., Mathematics, University of California, Riverside Riverside California

M.S., Mathematics, University of California, Riverside Riverside California

B.A., Mathematics, Cornell University Ithaca NY

Journal Articles

Ridenour, T., & Senesi, P. (2017). The Euclidean geometry of cardinal welfare functions. Social Choice and Welfare,

Ridenour, T., Khare, A., & Chari, V. (2012). Faces of Polytopes and Koszul Algebras. Journal of Pure and Applied Algebra, 216(7). 1611 - 1625.

Ridenour, T., & Khare, A. (2012). Faces of Weight Polytopes and a Generalization of a Theorem of Vinberg. Algebras and Representation Theory, 15(3). 593 - 611.

Ridenour, T., Dolbin, R., & Chari, V. (2009). Ideals of Parabolic Subalgebras of Simple Lie Algebras. Contemporary Mathematics, 409. 47 - 60.

Presentations

Ridenour, T. (2016, November 18). Faces of weight polytopes and Koszul algebras. CUNY Representation Theory Seminar. : CUNY Graduate Center.

Other Scholarly Works

Ridenour, T., Dolbin, R., & Park, S. (2019). Abelian p0-Module Subalgebras in Z2-graded subalgebras.

In Progress.

Ridenour, T. (2018). Prime Factorizations of finite-dimensional modules for Simple Lie Algebras.

In Progress.

Ridenour, T., & Sandler, A. (2017). ad-Nilpotent positively-graded Borel module subalgebras.

In Progress.

Research Currently in Progess

Ridenour, T., & Senesi, P.(n.d.). Algebraic voting theory. In Progress.

Applying representation theoretic techniques to the study of (ranked) voting methods.

Ridenour, T., & Iyer, M.(n.d.). Combinatorial Ideals for Twisted Affine Lie Algebras. In Progress.

The aim of this project is to classify the sets of roots which determine a combinatorial ideal in a Borel subalgebra for a twisted affine Lie algebra up to an equivalence relation.

Ridenour, T., & Sutton, O.(n.d.). Prime Factorizations of finite-dimensional modules for Simple Lie Algebras. In Progress.

A study of tensor product factorizations of certain finite-dimensional representations for simple finite-dimensional Lie algebras.

Ridenour, T., & Ephraim, J.(n.d.). Probability and Condorcet cycles in Voting Theory. In Progress.

A systematic study of Condorcet cycles in ranking voting procedures using methods from both representation theory and probability.