Publications and preprints

	Proto-exact categories of modules over semirings and hyperrings Preprint, joint with Jaiung Jun and Jeffrey Tolliver. J. Alg. (2023) 631
	Hall Lie algebras of toric monoid schemes Preprint, joint with Jaiung Jun.
	Toroidal prefactorization algebras associated to holomorphic fibrations and a relationship to vertex algebras with Jackson Walters and Brian Williams. Adv. Math (2021) 386.
	Split Grothendieck rings of rooted trees and skew shapes via monoid representations. joint with David Beers. Involve. 12 (2019), 1379-1397.
	Proto-exact categories of matroids, Hall algebras, and K-theory. joint with Chris Eppolito and Jaiung Jun. Math. Z. 296, 147–167 (2020).
	Hopf algebras for matroids over hyperfields. with Chris Eppolito and Jaiung Jun. J. Algebra 556 (2020), 806–835.
	The Hopf algebra of skew shapes, torsion sheaves on A^n/F_1, and ideals in Hall algebras of monoid representations. Adv. Math. 331(2018), 209-238.
	Twisted modules and coinvariants for commutative vertex algebras of jet schemes J. Algebra 506 (2018), 350-363.
	Quasicoherent sheaves on projective schemes over F_1 joint with Oliver Lorscheid. Journal of Pure and Applied Algebra 222 (2018), 1337-1354
	Cech cohomology over F_{1^2} joint with Jaret Flores and Oliver Lorscheid. J. Algebra 485 (2017), 269-287.
	On the Hall Algebra of Semigroup Representations over F_1 Math. Z. 276 (2014), no. 1-2, 371-386.
	On the Hall Algebra of Coherent Sheaves on P^1 over F_1 in Journal for Pure and Applied Algebra 216 no. 2 (2012).
	Pre-Lie Algebras and Incidence Categories of Rooted Trees Preprint
	Representations of Quivers over F_1 IMRN (2012) Vol. 2012 no. 10, 2377-2404.
	Incidence categories Journal for Pure and Applied Algebra (215) 4 2011.
	Colored trees and noncommutative symmetric functions Electronic Journal of Combinatorics (17) 1 2010.
	Hecke correspondences and Feynman graphs Comm. in Number Theory and Physics (4) 2010.
	Feynman graphs, rooted trees, and Ringel-Hall algebras Comm. Math. Phys. (289) 2009. joint with Kobi Kremnizer
	On the structure and representations of the insertion-elimination Lie algebra Lett. Math. Phys. (84) 2008.
	Supersymmetry of the chiral de Rham complex Compositio Math. (244) 2008. joint with David Ben-Zvi and Reimundo Heluani
	Chiral de Rham complex and orbifolds Journal of Algebraic Geometry (16) 2007 joint with Edward Frenkel
	Discrete torsion, orbifold elliptic genera, and the chiral de Rham complex Pure Appl. Math. Quart. (2) 2006 (special issue in honor of R. Macpherson). joint with Anatoly Libgober
	Orbifold conformal blocks and the stack of pointed G-covers J. Geom. Phys. , (56) 2006.
	A first glimpse at the minimal model program Snowbird lectures in algebraic geometry, Contemp. Math. 388, Amer. Math. Soc. 2005. joint with Charles Cadman, Izzet Coskun et. al.
	Twisted modules over vertex algebras on algebraic curves Adv. Math. (187) 2004. joint with Edward Frenkel
	Wakimoto modules for twisted affine algebras Math. Res. Lett. 9 (2002).
	Algebraic curves, twisted vertex operators, and Prym varieties. Ph. D. thesis - UC Berkeley 2002.
	Photometric variability of P. Cygni 1985-1993 Astronomy and Astrophysics Suppl., (117) 1996. joint with A. Attard and J. R. Percy
	P. Cygni : Many periods or none JAAVSO , (23) 2 1995, 140-143. joint with A. Attard and J. R. Percy

Notes

Geometric Langlands and physics Notes from a Princeton workshop.