Here is a list of my papers, preprints and upcoming projects:
J. Boretsky, Jonah Berggren: Combinatorics of Boundary Algebras, in preparation
J. Boretsky, V. Calvo Cortes, Y. El Maazouz: Totally Positive Skew-Symmetric Matrices, Submitted for publication in Selecta Mathematica, 2024
G. Barkley, J. Boretsky, C. Eur, Jiyang Gao: On Two Notions of Total Positivity for Generalized Partial Flag Varieties of Classical Lie Types, Submitted for publication in IMRN, 2024
J. Boretsky, J Zomback: A Combinatorial Proof of the Pointwise Ergodic Theorem for Actions of Amenable Groups along Tempelman Folner Sequences, Bulletin of the Polish Academy of Sciences – Mathematics Vol. 72 (2024)
J. Boretsky, C. Eur, L. Williams: Polyhedral and Tropical Geometry of Flag Positroids, Algebra and Number Theory Vol. 18, No. 7 (2023)
J. Boretsky: Totally Nonnegative Tropical Flags and the Totally Nonnegative Flag Dressian, Submitted for publication in Algebraic Combinatorics (2022)
J. Boretsky, R. Lin: Kraus-Like Decompositions, Preprint (2022)
J. Boretsky, J.Cohn, J. Freericks: Spin and Pseudospin Towers of the Hubbard Model on a Bipartite Lattice, International Journal of Modern Physics B, Vol. 32 Iss. 17 (2018)
J. Boretsky, S. Fisher, M. Toharia: Using LHC Higgs Data to Constrain the Radion Graviscalar of Warped Extra Dimensions, Dawson Research Journal of Experimental Science, Vol. 12 (2017)
Here are other publications (for now, just conference proceedings):
J. Boretsky, Jonah Berggren: Combinatorics of Boundary Algebras, Séminaire Lotharingien de Combinatoire, Vol. 91b (2024)
J. Boretsky, C. Eur and L. Williams: Polyhedral and Tropical Geometry of Flag Positroids, Séminaire Lotharingien de Combinatoire, Vol. 89b (2023)
J. Boretsky: Positive Tropical Flags and the Positive Tropical Dressian, Séminaire Lotharingien de Combinatoire, Vol. 86b (2022)