Research

Preprints and submitted papers:

  1. Tropicalization of Fock's inverse spectral transform   pdf (48 pages)  |  arXiv:2609.06241
  2. C-networks and the planar Ising inverse problem   pdf (34 pages)  |  arXiv:2606.15082   joint with Yassine El Maazouz
  3. Dimer models on astroidal zig-zag graphs   pdf (99 pages)  |  arXiv:2605.03896   joint with Tomas Berggren and Alexei Borodin
  4. Multiple cluster algebra structures for triple crossing diagram maps I: theoretical framework   pdf (41 pages)  |  arXiv:2601.08944   joint with Niklas Affolter , Max Glick , and Sanjay Ramassamy

Accepted and published papers:

  1. Dimers and Beauville integrable systems   pdf (65 pages)  |  arXiv:2207.09528   joint with Giovanni Inchiostro
    Selecta Math. 32 , Paper No. 94, 65 (2026)
  2. Electrical networks and Lagrangian Grassmannians   pdf (21 pages)  |  arXiv:2106.15418   joint with Sunita Chepuri and David E Speyer
    Ann. Inst. Henri Poincaré Comb. Phys. Interact. 13 (1) , 191--216 (2026)
  3. Integrable dynamics in projective geometry via dimers and triple crossing diagram maps on the cylinder   pdf (48 pages)  |  arXiv:2108.12692   joint with Niklas Affolter and Sanjay Ramassamy
    SIGMA Symmetry Integrability Geom. Methods Appl. 21 , Paper No. 040, 48 (2025)
  4. Spectral transform for the Ising model   pdf (19 pages)  |  arXiv:2402.07413
    Ann. Henri Poincaré 26 (12) , 4389--4409 (2025)
  5. Move-reduced graphs on a torus   pdf (37 pages)  |  arXiv:2212.12962   joint with Pavel Galashin
    Trans. Amer. Math. Soc. 377 (6) , 4055--4099 (2024)
  6. The twist for electrical networks and the inverse problem   pdf (36 pages)  |  arXiv:2305.10074
    Int. Math. Res. Not. IMRN 2024 (8) , 7001--7031 (2024)
  7. Spectra of biperiodic planar networks   pdf (48 pages)  |  arXiv:1901.06353
    Comm. Math. Phys. 405 (1) , Paper No. 10, 47 (2024)
  8. The cluster modular group of the dimer model   pdf (52 pages)  |  arXiv:1909.12896   joint with Giovanni Inchiostro
    Ann. Inst. Henri Poincaré Comb. Phys. Interact. 11 (1) , 147--198 (2024)
  9. The inverse spectral map for dimers   pdf (46 pages)  |  arXiv:2207.10146   joint with Alexander Goncharov and Richard Kenyon
    Math. Phys. Anal. Geom. 26 (3) , Paper No. 24, 51 (2023)
  10. Discrete dynamics in cluster integrable systems from geometric \(R\)-matrix transformations   pdf (25 pages)  |  arXiv:2208.10306   joint with Sanjay Ramassamy
    Comb. Theory 3 (2) , Paper No. 12, 29 (2023)
  11. Grove arctic curves from periodic cluster modular transformations   pdf (33 pages)  |  arXiv:1711.00790
    Int. Math. Res. Not. IMRN (20) , 15301--15336 (2021)