Stephen Scully

• On the Holes in I^n for symmetric bilinear forms in characteristic 2, Submitted. pdf.


• Extended Karpenko and Karpenko-Merkurjev theorems for quasilinear quadratic forms, Submitted. pdf.


• On an extension of Hoffmann's separation theorem for quadratic forms, Int. Math. Res. Not. IMRN (2022), no. 14, 11092-11147, pdf.


• Quasilinear quadratic forms and function fields of quadrics, Math. Z. 294 (2020), no. 3-4, 1107-1126, pdf.


• A bound for the index of a quadratic form after scalar extension to the function field of a quadric, J. Inst. Math. Jussieu 19 (2020), no. 2, 421-450, pdf.


• Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics, Math. Ann. 372 (2018), no. 3-4, 1437-1458, pdf.


• The Artin-Springer theorem for quadratic forms over semi-local rings with finite residue fields, Proc. Amer. Math. Soc. 146 (2018), no. 1, 1-13, pdf.


• Milnor-Witt K-groups of local rings (joint with Stefan Gille and Changlong Zhong), Adv. Math. 286 (2016), 729-753, pdf.


• Hoffmann's conjecture for totally singular forms of prime degree, Algebra Number Theory 10 (2016), no. 5, 1091-1132, pdf.


• On the splitting of quasilinear p-forms, J. Reine Angew. Math. 713 (2016), 49-83, pdf.


• Rational maps between quasilinear hypersurfaces , Compos. Math. 149 (2013), no. 3, 333-355, pdf.


• Milnor K-groups and function field extensions in positive characteristic, Preprint (2013), pdf.