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    Preprints and submitted papers:

  1. Comparing cluster algebras on braid varieties pdf (67 pages) | arXiv:2508.03816
    joint with Roger Casals, Mikhail Gorsky, Linhui Shen, Melissa Sherman-Bennett, and José Simental, submitted

  2. Amplituhedra and origami pdf (59 pages) | arXiv:2410.09574

  3. Monotone links in DAHA and EHA pdf (43 pages) | arXiv:2307.16794
    joint with Thomas Lam, submitted

  4. Braid variety cluster structures, I: 3D plabic graphs pdf (59 pages) | arXiv:2210.04778 | code
    joint with Thomas Lam, Melissa Sherman-Bennett, and David Speyer, submitted

  5. The twist for Richardson varieties pdf (37 pages) | arXiv:2204.05935
    joint with Thomas Lam, submitted

    6. Accepted papers:

  6. Braid variety cluster structures, II: general type pdf (29 pages)
    joint with Thomas Lam and Melissa Sherman-Bennett
    Invent. Math., to appear | arXiv:2301.07268 | code

  7. Positroids, knots, and q,t-Catalan numbers pdf (53 pages)
    joint with Thomas Lam
    Duke Math. J., 173(11): 2117-2195, 2024 | arXiv:2012.09745

  8. Move-reduced graphs on a torus pdf (37 pages)
    joint with Terrence George
    Trans. AMS, 377(6): 4055-4099, 2024 | arXiv:2212.12962

  9. Positroid Catalan numbers pdf (28 pages)
    joint with Thomas Lam
    Comm. AMS, 4(2024): 357-386, 2024 | arXiv:2104.05701

  10. Plabic links, quivers, and skein relations pdf (44 pages)
    joint with Thomas Lam
    Algebr. Comb., 7(2): 431-474, 2024 | arXiv:2208.01175

  11. Rational noncrossing Coxeter-Catalan combinatorics pdf (42 pages)
    joint with Thomas Lam, Minh-Tâm Trinh, and Nathan Williams
    Proc. Lond. Math. Soc., 129(4): e12643, 2024 | arXiv:2208.00121

  12. Poset associahedra pdf (30 pages)
    Selecta Math. (N.S.), 30(6), 2024 | arXiv:2110.07257

  13. Positroid varieties and cluster algebras pdf (21 pages)
    joint with Thomas Lam
    Ann. Sci. Éc. Norm. Supér., 56(3): 859-884, 2023 | arXiv:1906.03501

  14. Purity and separation for oriented matroids pdf (85 pages)
    joint with Alex Postnikov
    Mem. Amer. Math. Soc., 289, 2023 | arXiv:1708.01329

  15. Totally nonnegative critical varieties pdf (29 pages)
    Int. Math. Res. Not. IMRN, 2024(5): 3649-3689, 2024 | arXiv:2110.08548

  16. Trianguloids and triangulations of root polytopes pdf (25 pages)
    joint with Gleb Nenashev and Alex Postnikov
    J. Combin. Theory Ser. A, 201: 105802, 2024 | arXiv:1803.06239

  17. Critical varieties in the Grassmannian pdf (53 pages)
    Comm. Math. Phys., 401: 3277–3333, 2023 | arXiv:2102.13339

  18. Higher secondary polytopes and regular plabic graphs pdf (39 pages)
    joint with Alex Postnikov and Lauren Williams
    Adv. Math., 407: 108549, 2022 | arXiv:1909.05435

  19. A formula for boundary correlations of the critical Ising model pdf (21 pages)
    Probab. Theory Related Fields, 182: 615-640, 2022 | arXiv:2010.13345

  20. The totally nonnegative Grassmannian is a ball pdf (19 pages)
    joint with Steven Karp and Thomas Lam
    Adv. Math., 397: 108123, 2022 | arXiv:1707.02010

  21. Regularity theorem for totally nonnegative flag varieties pdf (63 pages)
    joint with Steven Karp and Thomas Lam
    J. Amer. Math. Soc., 35(2): 513-579, 2021 | arXiv:1904.00527

  22. Symmetries of stochastic colored vertex models pdf (46 pages)
    Ann. Probab., 49(5): 2175-2219, 2021 | arXiv:2003.06330

  23. Root system chip-firing II: Central-firing pdf (28 pages)
    joint with Sam Hopkins, Thomas McConville, and Alex Postnikov
    Int. Math. Res. Not. IMRN, 2021(13): 10037-10072, 2021 | arXiv:1708.04849

  24. Parity duality for the amplituhedron pdf (52 pages)
    joint with Thomas Lam
    Compos. Math., 156(11): 2207-2262, 2020 | arXiv:1805.00600

  25. Ising model and the positive orthogonal Grassmannian pdf (49 pages)
    joint with Pavlo Pylyavskyy
    Duke Math. J., 169(10): 1877-1942, 2020 | arXiv:1807.03282

  26. Quivers with subadditive labelings: classification and integrability pdf (46 pages)
    joint with Pavlo Pylyavskyy
    Math. Z., 295: 945-992, 2020 | arXiv:1606.04878

  27. The classification of Zamolodchikov periodic quivers pdf (40 pages)
    joint with Pavlo Pylyavskyy
    Amer. J. Math, 141(2):447-484, 2019 | arXiv:1603.03942

  28. The totally nonnegative part of G/P is a ball pdf (6 pages)
    joint with Steven Karp and Thomas Lam
    Adv. Math., 351: 614-620, 2019 | arXiv:1801.08953

  29. Quivers with additive labelings: classification and algebraic entropy pdf (77 pages)
    joint with Pavlo Pylyavskyy
    Doc. Math., 24: 2057-2135, 2019 | arXiv:1704.05024

  30. Periodicity and integrability for the cube recurrence pdf (38 pages)
    Math. Z., 299: 1533-1563, 2021 | arXiv:1704.05570

  31. Root system chip-firing I: Interval-firing pdf (54 pages)
    joint with Sam Hopkins, Thomas McConville, and Alex Postnikov
    Math. Z., 292: 1337-1385, 2019 | arXiv:1708.04850

  32. Linear recurrences for cylindrical networks pdf (32 pages)
    joint with Pavlo Pylyavskyy
    Int. Math. Res. Not. IMRN, 2019(13): 4047-4080, 2019 | arXiv:1704.05160

  33. R-systems pdf (63 pages)
    joint with Pavlo Pylyavskyy
    Selecta Math. (N.S.), 25(22), 2019 | arXiv:1709.00578

  34. Some more amplituhedra are contractible pdf (7 pages)
    joint with Pavle Blagojević, Nevena Palić, and Günter Ziegler
    Selecta Math. (N.S.), 25(8), 2019 | arXiv:1806.00827

  35. Weak separation, pure domains and cluster distance pdf (39 pages)
    joint with Miriam Farber
    Selecta Math. (N.S.), 24(3):2093-2127, 2018 | arXiv:1612.05387

  36. Plabic graphs and zonotopal tilings pdf (25 pages) | applet
    Proc. Lond. Math. Soc., 117(4): 661-681, 2018 | arXiv:1611.00492

  37. A Littlewood-Richardson Rule for Dual Stable Grothendieck Polynomials pdf (14 pages)
    J. Combin. Theory Ser. A, 151:23-35, 2017 | arXiv:1501.00051

  38. Refined dual stable Grothendieck polynomials and generalized Bender-Knuth involutions pdf (29 pp.)
    joint with Darij Grinberg and Gaku Liu
    Electron. J. Combin., 23(3):Paper 3.14, 28, 2016 | arXiv:1509.03803

  39. Extensions of isometric embeddings of Pseudo-Euclidean metric polyhedra pdf (8 pages)
    joint with Vladimir Zolotov
    Electron. Res. Announc. Math. Sci., 23:1-7, 2016 | arXiv:1501.05037

  40. Manifolds associated to simple games pdf (14 pages)
    joint with Gaiane Panina
    J. Knot Theory Ramifications, 25(12):1642003, 14, 2016 | arXiv:1311.6966

  41. Existence of a persistent hub in the convex preferential attachment model pdf (17 pages)
    Probab. Math. Statist., 36(1):59-74, 2016 | arXiv:1310.7513