Adam Nyman’s Research

Monographs:

• Points on quantum projectivizations, Mem. Amer. Math. Soc. 167 (2004), 142 pages.

Papers:

• A categorical characterization of noncommutative projective Z-spaces (with I. Mori).
• Noncommutative linear systems and noncommutative elliptic curves (with D. Chan), Trans. Amer. Math. Soc., to appear.
• Morphisms to noncommutative projective lines (with D. Chan), Proc. Amer. Math. Soc. 149 (2021), 2789-2803.
• Local duality for connected Z-algebras (with I. Mori), J. Pure Appl. Algebra 225 (2021), Paper No. 106676, 22 pp.
• Corrigendum to “Local duality for connected Z-algebras’’ (with I. Mori), J. Pure Appl. Algebra, to appear.
• A representation theoretic study of noncommutative symmetric algebras (with D. Chan), Proc. Edinb. Math. Soc., 62 (2019), 875-887.
• An abstract characterization of noncommutative projective lines, J. Noncommut. Geom, 13 (2019), 517-552.
• Species and non-commutative P^1’s over non-algebraic bimodules (with D. Chan), J. Algebra, 460 (2016), 143-180.
• A generalization of Watts’s Theorem: right exact functors on module categories (with S.P. Smith), Comm. Algebra, 44 (2016), 3160-3170.
• Witt’s theorem for noncommutative conics, Appl. Categ. Structures, 24 (2016), 407-420.
• Noncommutative Tsen’s theorem in dimension one, J. Algebra 434 (2015), 90-114.
• The geometry of arithmetic noncommutative projective lines, J. Algebra 414 (2014), 190-240.
• Non-commutative Mori contractions and P^1-bundles (with D. Chan), Adv. Math., 245 (2013), 327-381.
• A structure theorem for P^1-Spec k-bimodules, Algebr. Represent. Theory, 16 (2013), 659-671.
• Duals of simple two-sided vector spaces (with J. Hart), Comm. Algebra, 40 (2012), 2405-2419.
• The Eilenberg-Watts theorem over schemes, J. Pure Appl. Algebra, 214 (2010), 1922-1954.
• Grassmannians of two-sided vector spaces, Comm. Algebra, 35 (2007), 2208-2234.
• Two-sided vector spaces (with C. Pappacena), Linear Algebra Appl., 420 (2007), 339-360.
• Serre duality for non-commutative P^1 bundles, Trans. Amer. Math. Soc. 357 (2005), 1349-1416.
• Serre finiteness and Serre vanishing for non-commutative P^1 bundles, J. Algebra 278 (2004), 32-42.
• The geometry of points on quantum projectivizations, J. Algebra 246 (2001), 761-792.

Talks:

• Maps to noncommutative projective spaces
• An abstract characterization of noncommutative projective spaces
• A representation theoretic study of noncommutative symmetric algebras
• Genus zero phenomena in noncommutative algebraic geometry
• Species and noncommutative projective lines over non-algebraic bimodules
• The geometry of noncommutative curves of genus zero
• The geometry of (some) noncommutative projective lines
• A structure theorem for P^1-Spec k-bimodules
• Classical integral transforms in semi-commutative algebraic geometry