Stephen Scully
Position
Assistant Professor
Mathematics and Statistics
Credentials
PhD University of Nottingham
Contact
Office: DTB-A436
Interests
- Quadratic forms and forms of higher degree
- Projective homogeneous varieties
- Algebraic cycles
- Motives
- Milnor K-theory
Courses
- Fall 2024: MATH 212: Introduction to Algebra MATH 493: Topics in Pure Mathematics MATH 510: Abstract Algebra
- Spring 2025: MATH 412: Abstract Algebra II
- Summer 2025:
Selected Publications
- Quasilinear quadratic forms and function fields of quadrics, Preprint (2017), pdf.
- Hyperbolicity and near hyperbolicity of quadratic forms over function fields of quadrics, Math. Ann., to appear, pdf.
- A bound for the index of a quadratic form after scalar extension to the function field of a quadric, J. Inst. Math. Jussieu, to appear, 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.