Here is my Publication List.
Note: ** indicates an undergraduate student (when the paper was written).
[33] Proto-exact categories of matroids over idylls and tropical toric reflexive sheaves (with Alex Sistko and Cameron Wright), arXiv:2509.08144 (2025)
[32] Matroidal representations of low rank (with Kalina Mincheva and Jeffrey Tolliver), arXiv:2502.08810 (2025), submitted.
[31] Tropical representations and valuated matroids (with Kalina Mincheva and Jeffrey Tolliver), arXiv:2411.19889 (2024), submitted.
[30] Representation theory over semifields (with Kalina Mincheva and Jeffrey Tolliver), arXiv:2411.19883 (2024), under revision for Journal of Algebra.
[29] On the combinatorics of F_1-representations of pseudotree quivers (with Jaehoon Kim and Alex Sistko), arXiv:2301.07221 (2023), submitted.
[28] Equivariant vector bundles on toric schemes over semirings (with Kalina Mincheva and Jeffrey Tolliver), arXiv:2406.06933 (2024), accepted for publication in Proc. A Royal Soc. Edinburgh
[27] Facets of module theory over semirings (with James Borger), Adv. Math. 479 (2025), Paper No. 110431. [Journal]
[26] On Picard groups and Jacobians of directed graphs (with Youngsu Kim and *Matthew Pisano*), Linear Algebra Appl. 711 (2025), 180-211. [Journal]
[25] Coefficient quivers, F_1-representations, and Euler characteristics of quiver Grassmannians (with Alex Sistko), Nagoya Math. J. 255 (2024), 561-617 [Journal]
[24] Artin-Ihara L-functions for hypergraphs (with *Mason Eyler*), Adv. Math. 450 (2024): 109745 [Journal]
[23] Nontrivial solutions for homogeneous linear equations over some non-quotient hyperfields (with David Hobby), Proc. Amer. Math. Soc. 152 (2024), no. 6, 2353 - 2367 [Journal]
[22] Hall Lie algebras of toric monoid schemes (with Matt Szczesny), Selecta Math. (N.S.) 30 (2024), no. 2, 22. [Journal]
[21] Vector bundles on tropical schemes (with Kalina Mincheva and Jeffrey Tolliver), J. Algebra 637 (2024): 1-46 [Journal]
[20] Gluing of graphs and their Jacobians (with *Alessandro Chilelli* ), Involve 16 (2023), No. 3, 389–407 [Journal]
[19] Proto-exact categories of modules over semirings and hyperrings (with Matt Szczesny and Jeffrey Tolliver), J. Algebra 631 (2023): 517-557 [Journal]
[18] On quiver representations over F_1 (with Alex Sistko), Algebr. Represent. Theory 26 (2023), no 1, 207-240. [Journal]
[17] T-semiring pairs (with Kalina Mincheva and Louis Rowen), Kybernetika vol. 58, no. 5. (2022): 733-759 (special volume, on tropical mathematics, dedicated to Martin Gavalec). [Journal]
[16] On infinite matroids with strong maps: proto-exactness and finiteness conditions (with Chris Eppolito), Theory Appl. Categ. 38 (2022), No. 11, 319-327. [Journal]
[15] Homology of systemic modules (with Kalina Mincheva, and Louis Rowen), Manuscripta Math. 167 (2022), no. 3-4, 469 - 520. [Journal]
[14] Lattices, spectral spaces, and closure operations on idempotent semirings (with Samarpita Ray and Jeffrey Tolliver), J. Algebra 594 (2022): 313-363 [Journal]
[13] On the Hopf algebra of multi-complexes (with Miodrag Iovanov), J. Algebraic. Combin., 56 (2022), no. 2, 425-451. [Journal]
[12] Geometry of hyperfields, J. Algebra 569 (2021): 220-257. [Journal]
[11] Proto-exact categories of matroids, Hall algebras, and K-theory (with Chris Eppolito and Matt Szczesny), Math. Z. 296, no. 1-2, 147-167 (2020). [Journal]
[10] Categories with negation (with Louis Rowen), Contemp. Math. 751 (2020), 221-270 (Special Volume, dedicated to S. K. Jain). [Journal]
[9] Projective systemic modules (with Kalina Mincheva and Louis Rowen), J. Pure Appl. Algebra 224 (2020), no. 5, 106243. [Journal]
[8] Hopf algebras for matroids over hyperfields (with Chris Eppolito and Matt Szczesny), J. Algebra 556 (2020): 806-835. [Journal]
[7] Picard groups for tropical toric varieties (with Kalina Mincheva and Jeffrey Tolliver), Manuscripta Math. 160 (2019), no. 3-4, 339 - 357. [Journal]
[6] Association schemes and hypergroups, Comm. Algebra, 46 (2018), no. 3, 942-960. [Journal]
[5] Algebraic geometry over hyperrings, Adv. Math. 323 (2018): 142-192. [Journal]
[4] Valuations of semirings, J. Pure Appl. Algebra 222 (2018), no. 8, 2063-2088. [Journal]
[3] On the relation between hyperrings and fuzzy rings (with Jeffrey Giansiracusa and Oliver Lorscheid), Beitr. Algebra Geom. (2017) 58(4): 735-764. [Journal]
[2] Cech Cohomology of Semiring Schemes, J. Algebra 483 (2017): 306-328. [Journal]
[1] Hyperstructures of Affine Algebraic Group Schemes, J. Number Theory 167 (2016): 336-352. [Journal]
[0] Algebraic geometry over semi-structures and hyper-structures of characteristic one, Ph.D. thesis at The Johns Hopkins University.