Patrick McFaddin: Research

Publications

• • • • • •

12.

(with T. Needham) Interleaving distances, monoidal actions and 2-categories, submitted 2023.

11.

(with M. Ballard, A. Duncan, and A. Lamarche ) Consequences of the existence of exceptional collections in arithmetic and rationality, submitted, 2023.

ArXiv

10.

(with M. Ballard, A. Duncan, and A. Lamarche ) Separable algebras and coflasque resolutions, to appear in Adv. Math.

ArXiv

(with L. Ji, S. Li, D. Moore, M. Stevenson) Weil restriction of schemes and beyond. In P. Belmans, W. Ho, and A. De Jong (Eds.), Stacks Project Expository Collection (London Mathematical Society Lecture Notes, pp. 194-221, 2022). Cambridge: Cambridge University Press.

Cambridge

A.T.V.'s for (geometric) off-roading: a gentle introduction to arithmetic toric varieties. Notices Amer. Math. Soc. 69 (2022), no. 7, 1113–1125.

MathSciNet

(with M. Ballard and A. Duncan) Derived categories of centrally-symmetric smooth toric Fano varieties, Math. Nachr. 295 (2022), no. 2, 218-241.

MathSciNet

(with M. Ballard, N. Chidambaram, D. Favero, and R. Vandermolen ) Kernels for Grassmann Flops, J. Math. Pures Appl. (9) 147 (2021), 29-59.

MathSciNet

(with M. Ballard and A. Duncan) On derived categories of arithmetic toric varieties. Ann. K-Theory 4 (2019), no. 2, 211–242.

MathSciNet

Zero-cycles with coefficients for the second generalized symplectic involution variety of an algebra of degree 4, J. Pure Appl. Algebra, 223 (2019), no. 7, 2822-2830.

MathSciNet

(with M. Ballard and A. Duncan) The toric Frobenius morphism and a conjecture of Orlov, Eur. J. Math. 5 (2019), no. 3, 640–645.

MathSciNet

The group of K_1-zero-cycles on the second generalized Severi–Brauer variety of an algebra of index 4. J. Algebra, 479 (2017), 192–202.

MathSciNet

(with V. Alexeev, et. al.) Extended Torelli map to the Igusa blowup in genus 6, 7, and 8. Experimental Mathematics, Vol. 21(2), pp. 193-203 (2012).

MathSciNet

K-Cohomology of Generalized Severi-Brauer Varieties. Ph.D. Thesis, University of Georgia (2016).

PDF

-1.

(with E. J. Rhodes, et al.) Temporal changes in the frequencies and widths of the solar p-mode oscillations. Proceedings of SOHO 24/GONG 2010, pp. 134-138 (2011).

IOP

-2.

(with E. J. Rhodes, et al.) Temporal changes in the frequencies of the solar p-mode oscillations during solar cycle 23. Proceedings of the IAU, Vol. 6, Symposium S273, pp. 389-393 (2011).

NSO

In Spring 2018, I organized a seminar on (Grothendieck-Chow) motives at the University of South Carolina.

Expository Articles

Below is a collection of expositions derived from course assignments and selected talks.

Weil restriction of schemes and beyond.
(with Lena Ji, Shizhang Li, Drew Moore, and Matthew Stevenson)

Research

Publications

Expository Articles

Beamer Presentations