Here is a list of my papers, preprints and upcoming projects:
J. Boretsky, J. Kamnitzer: MV polytopes and the totally nonnegative flag Dressian, in preparation
J. Boretsky, R. Hodges, N. Lesnevich, T. McAllister, J. Pappe, S. Sundaram: Splines for the dihedral group, in preparation
J. Boretsky, J. Berggren: Combinatorics of boundary algebras, in preparation
G. Barkley, J. Boretsky, C. Eur, J. Gao: On two notions of total positivity for generalized partial flag varieties of classical Lie types, International Mathematics Research Notices, Volume 2026, No. 3 (2026)
J. Boretsky, A. Cornejo, R. Hodges, P. Horn, N. Lesnevich, T. McAllister: Comparability in Bruhat orders, preprint (2026)
J. Boretsky, Z. Walsh: Excluding a line from positroids, European Journal of Combinatorics, Vol. 137 (2026), article no. 104419
J. Boretsky: Totally nonnegative tropical flags and the totally nonnegative flag Dressian, accepted for publication in Algebraic Combinatorics (2026)
J. Boretsky, V. Calvo Cortes, Y. El Maazouz: Totally positive skew-symmetric matrices, submitted for publication in Selecta Mathematica (2024)
J. Boretsky, J. Zomback: A combinatorial proof of the pointwise ergodic theorem for actions of amenable groups along Tempelman Følner sequences, Bulletin of the Polish Academy of Sciences – Mathematics, Vol. 72 (2024), 7–16
J. Boretsky, C. Eur, L. Williams: Polyhedral and tropical geometry of flag positroids, Algebra and Number Theory, Vol. 18, No. 7 (2023)
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, V. Calvo Cortes, Y. El Maazouz: Totally positive skew-symmetric matrices, Séminaire Lotharingien de Combinatoire, to appear (2026)
J. Boretsky, Z. Walsh: Excluding a line from positroids, Séminaire Lotharingien de Combinatoire, to appear (2026)
G. Barkley, J. Boretsky, C. Eur, J. Gao: On two notions of total positivity for generalized partial flag varieties of classical Lie types, Séminaire Lotharingien de Combinatoire, Vol. 93B (2025)
J. Boretsky, J. Berggren: Combinatorics of boundary algebras, Séminaire Lotharingien de Combinatoire, Vol. 91B (2024)
J. Boretsky, C. Eur, 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)