Publications

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Published 

• On a state model for the SO(2n) Kauffman polynomial, Carmen Caprau, David Heywood, and Dionne Ibarra, Involve, a Journal of Mathematics 7-4 (2014), 547-563. DOI 10.2140/involve.2014.7.547 eprint: arXiv:1304.4665 [math.GT].

• Schur multipliers and second quandle homology, Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee, Takefumi Nosaka, Jozef H. Przytycki, J. Algebra 552 (2020), 52-67. 19C09 (20J06 57K12); DOI 10.1016/j.jalgebra.2019.12.027  eprint:  arXiv:1812.04704 [math.GT].

• A generalization of the Gram determinant of type A, Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee, Jozef H. Przytycki, Topology Appl. 295 (2021), Paper No. 107663, 15 pp.  DOI 10.1016/j.topol.2021.107663 eprint: arXiv:1905.07834 [math.GT].

• On framings of links in 3-Manifolds, Rhea Palak Bakshi, Dionne Ibarra, Gabriel Montoya-Vega,  Jozef H. Przytycki, Deborah Weeks, Canadian Mathematical Bulletin 64 (2021), no. 4, 752–764. DOI 10.4153/S000843952000079X eprint: arXiv:2001.07782 [math.GT] 

• Logarithm-Based Methods for Interpolating Quaternion Time Series, Joshua Parker, Dionne Ibarra, David B. Ober. Mathematics 2023, 11(5), 1131. DOI 10.3390/math11051131. https://www.mdpi.com/2227-7390/11/5/1131

• Lectures in knot theory: An exploration of contemporary topics,  Jozef H. Przytycki, Rhea Palak Bakshi, Dionne Ibarra, Gabriel Montoya-Vega, and Deborah Weeks, Universitext, Springer International Publishing. 2024 March. DOI 10.1007/978-3-031-40044-5 

• On a new Gram determinant from the Möbius band, Dionne Ibarra, Gabriel Montoya-Vega, J. Knot Theory Ramifications, 33 (2024), no. 12. DOI 10.1142/S0218216524500378. eprint:  arXiv:2304.05616 

Preprints

• Augmented links, shadow links, and the TV volume conjecture: a geometric perspective, Dionne Ibarra, Emma N. McQuire, Jessica S. Purcell, eprint: arXiv:2506.09296 

• Chebyshev polynomials and Gram determinants from the Möbius band, Anthony Christiana, Dionne Ibarra, Gabriel Montoya-Vega,  eprint: arXiv:2504.16439  

• On Geometric triangulations of double twist knots, Dionne Ibarra, Daniel V. Mathews, Jessica S. Purcell, eprint: arXiv:2504.09901  

• A robot that unknots knots, Connie On Yu Hui, Dionne Ibarra, Louis H. Kauffman, Emma N. McQuire, Gabriel Montoya-Vega, Sujoy Mukherjee, Corbin Reid, eprint: arXiv:2504.01254  

• The Montesinos-Nakanishi 3-move conjecture for links up to 20 crossings, Rhea Palak Bakshi, Benjamin A. Burton, Huizheng Guo, Dionne Ibarra, Gabriel Montoya-Vega, Sujoy Mukherjee, Józef H. Przytycki, eprint: arXiv:2502.17711 

• Independence complexes of circle graphs, Rhea Palak Bakshi, Huizheng Guo, Dionne Ibarra, Gabriel Montoya-Vega, Sujoy Mukherjee, Marithania Silvero, Jonathan Spreer, eprint: arXiv:2412.01125 (Accepted MATRIX Annals)

• Triangulations of the 3-sphere with knotted edge, Dionne Ibarra, Daniel V. Mathews, Jessica S. Purcell, Jonathan Spreer, eprint: arXiv:2411.18938 

• Lambda lengths in the figure eight knot complement,  Joshua A. Howie, Dionne Ibarra, Daniel V. Mathews, Lecheng Su, eprint: arXiv:2411.06368  (Accepted MATRIX Annals)

• A Study of Gram Determinants in Knot Theory, Dionne Ibarra, Gabriel Montoya-Vega, eprint: arXiv:2402.09704  (Accepted Contemporary Mathematics)

• A lower bound for the volumes of modular link complements, Connie On Yu Hui, Dionne Ibarra, José Andrés Rodríguez Migueles, eprint:  arXiv:2402.00400 

• Exploring unimodality of the plucking polynomial with delay function, Dionne Ibarra, Alex Landry, Gabriel Montoya-Vega, Jozef H. Przytycki, eprint:  arXiv:2311.18059 (Accepted Contemporary Mathematics)

• Jones-Wenzl idempotents in the twisted I-bundle over the Möbius band, Dionne Ibarra, eprint: arXiv:2301.04859 

• A note on a short proof of the parallelizability of orientable 3-manifolds, Dionne Ibarra, eprint: arXiv:2207.12149  

Book publication

Lectures in knot theory: An exploration of contemporary topics

 Jozef H. Przytycki, Rhea Palak Bakshi, Dionne Ibarra, Gabriel Montoya-Vega, and Deborah Weeks.  Universitext. Springer International Publishing. 2024 March.

DOI 10.1007/978-3-031-40044-5