Maciej (Matt) Szczesny
Professor of Mathematics
Boston University

Office: CDS 431
Phone: 617-353-1487
E-mail: szczesny (at)
Advising/Office hours: Mon. 10:30-11:30, Fri. 12-2 pm


BU geometry seminar


Department of Mathematics and Statistics, Boston University, 665 Commonwealth Ave., Boston, MA 02215

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
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


Geometric Langlands and physics
Notes from a Princeton workshop.