In Progress:
Knot Invariants On Additivity of Crossing Number
Reflection length function in affine George group
From GKH to Incompressible Surface
Exploring Cubic Skein Modules
Extension of Plan's Thoerem
On the Mapping class group of nontrivial $S^2$ fiber bundles
Prints:
"In Search of Homology for Quasigroups of Bol-Moufang Type" Christiana A, Clingenpeel B, Guo H, Oh J, Przytycki J, Zamojska-Dzienio A : https://arxiv.org/abs/2508.21268
"Independence Complexes of Circle Graphs" Bakshi R, Guo A, Ibarra D, Montoya-Vega G, Mukherjee S, Silvero M, Spreer J : https://arxiv.org/abs/2412.01125
"On the notion of Khovanov A-adequacy" L. Buchanan, H. Guo, G. Montoya-Vega, Y. Rong, M. Silvero: https://arxiv.org/abs/2502.17637
"The Montesinos-Nakanishi 3-move conjecture for links up to 20 crossings" R. Bakshi, B. Burton, H. Guo, D. Ibarra, G. Montoya-Vega, S. Mukherjee, J. Przytycki: https://arxiv.org/abs/2502.17711
"Low Dimensional Homology of the Yang-Baxter Operators Yielding the HOMFLYPT Polynomial" A. Christiana, B. Clingenpeel, H. Guo, J. Oh, J. Przytycki, X. Wang, H. Yun: https://arxiv.org/abs/2502.20659
"Using Fibonacci Numbers and Chebyshev Polynomials to Express Fox Coloring Groups and Alexander-Burau-Fox Modules of Diagrams of Wheel Graphs" Christiana A, Guo H, Przytycki J: https:/arxiv.org/abs/2310.19979 (Contemporary Mathematics, 2024)
"The Generalized Kauffman-Harary Conjecture is True" Bakshi R, Guo H, Montoya-Vega G, Mukherjee S, Przytycki J: arxiv.org/abs/2301.02645 , https://msp.org/agt/2025/25-4/p06.xhtml/pc(Algebraic Geometry & Topology, 2025)
"Pairs of Disjoint Matchings and related classes of graphs". Guo H, Kaempen K, Mo Z, Qunell S, Rogge J, Song C, Tserunyan A, Zomback J: https://arxiv.org/abs/2005.00671(Involve Journal, 2021)