Select Publications

Preprints

Chan D; Ingalls C, 2026, Some terminal orders on 3-folds, https://arxiv.org/abs/2607.02950v1

Chan D; Nyman A, 2026, Three-periodic helices on elliptic curves and their associated regular algebras, https://arxiv.org/abs/2604.21900v1

Chan D; Nyman A, 2025, Two-periodic elliptic helices: classification and geometry, https://arxiv.org/abs/2511.09825v1

Chan D; Lynch SB, 2024, Zeta functions of orders on surfaces, https://arxiv.org/abs/2410.16832v2

Abdelgadir T; Chan D; Okawa S; Ueda K, 2024, A compact moduli of orbifold projective curves, https://arxiv.org/abs/2401.14797v1

Abdelgadir T; Chan D; Okawa S; Ueda K, 2024, Degenerations of orbifold curves as noncommutative varieties, https://doi.org/10.1017/nmj.2025.10067

Chan D; Nyman A, 2022, Noncommutative linear systems and noncommutative elliptic curves, https://arxiv.org/abs/2211.12465v1

Chan D; Ingalls C, 2022, Terminal orders on arithmetic surfaces, https://doi.org/10.2140/ant.2024.18.2027

Chan D; Ingalls C, 2021, The minimal model program for arithmetic surfaces enriched by a Brauer class, https://arxiv.org/abs/2108.03105v1

Chan D; Nyman A, 2019, Morphisms to noncommutative projective lines, https://arxiv.org/abs/1912.02921v3

Abdelgadir T; Chan D, 2019, Tensor stable moduli stacks and refined representations of quivers, https://arxiv.org/abs/1907.07070v2

Chan D; Nyman A, 2017, A representation theoretic study of noncommutative symmetric algebras, https://arxiv.org/abs/1710.05868v2

Chan D; Chan K; Völcsey LDTD; Ingalls C; Jabbusch K; Kovács SJ; Kulkarni R; Lerner B; Nanayakkara B; Okawa S; Bergh MVD, 2017, The minimal model program for b-log canonical divisors and applications, https://arxiv.org/abs/1707.00834v2

Chan D; Nyman A, 2015, Species and non-commutative P^1's over non-algebraic bimodules, https://arxiv.org/abs/1510.04626v1

Chan D; Lerner B, 2015, Moduli stacks of Serre stable representations in tilting theory, https://arxiv.org/abs/1507.06392v1

Chan D; Chan K, 2011, Rational curves and ruled orders on surfaces, https://arxiv.org/abs/1106.6086v1


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