More recent publications are in PDF; older publications are in PostScript. Unfortunately this is not up-to-date. My CV has the most current information. You can also find (most of) these on the arXiv via the UC Davis Front.

- Generalized Catalan numbers from hypergraphs, To appear in Electronic Journal of Combinatorics.
- Hypergraph matrix models, with Mario DeFranco. To appear in Moscow Math Journal.
- On the cohomology of congruence subgroups of GL3 over the Eisenstein integers, with Mark McConnell and Dan Yasaki. To appear in Experimental Math.
- Ironwood meta key agreement and authentication protocol, with Iris
Anshel, Derek Atkins, and Dorian Goldfeld. Advances in Mathematics
of Communications
**15**(2021), no. 3, 397–413. - Weighted lattice point sums in lattice polytopes, unifying Dehn–Sommerville and Ehrhart–Macdonald,
with Matthias Beck and Evgeny Materov. Discrete Comput. Geom.
**65**(2021), no. 2, 365–384. - Cohomology with twisted one-dimensional coefficients for congruence subgroups of SL4(Z) and Galois representations,
with Avner Ash and Mark McConnell. J. Algebra
**553**(2020), 211–247. - On the growth of torsion in the cohomology of arithmetic groups,
with Avner Ash, Mark McConnell, and Dan Yasaki. J. Inst. Math. Jussieu
**19**(2020), no. 2, 537–569. - On topological computation of K4 of the Gaussian and Eisenstein integers,
with Herbert Gangl, Jon Hanke, Achill Schürmann, Matieu Dutour
Sirikic, and Dan Yasaki. J. Homotopy Relat. Struct.
**14**(2019), no. 1, 281–291. - Tiered trees, weights, and q-Eulerian numbers, with William Dugan,
Sam Glennon, and Einar Steingrímsson. J. Combin. Theory Ser. A
**164**(2019), 24–49. - Exotic matrix models: the Albert algebra and the spin factor.
Mosc. Math. J.
**18**(2018), no. 2, 321–347. - Torus orbits on homogeneous varieties and Kac polynomials of quivers,
with Emmanuel Letellier and Fernando Rodriguez Villegas. Math. Z.
**290**(2018), no. 1–2, 445–467. - Metaplectic Demazure operators and Whittaker functions,
with Gautam Chinta and Anna Puskas. Indiana Univ. Math. J.
**66**(2017), no. 3, 1045–1064. - A class of hash functions based on the algebraic eraser, with Iris Anshel, Derek Atkins, and Dorian Goldfeld. Groups Complex. Cryptol.
**8**(2016), no. 1, 1–7. - On the cohomology of linear groups over imaginary quadratic fields,
with Herbert Gangl, Jon Hanke, Achill Schürmann, Matieu Dutour
Sirikic, and Dan Yasaki. J. Pure Appl. Algebra
**220**(2016), no. 7, 2564–2589. - A table of elliptic curves over the cubic field of discriminant -23,
with Steve Donnelly, Ariah Klages-Mundt, and Dan Yasaki. Exp. Math.
**24**(2015), no. 4, 375–390. - Crystal graphs, Tokuyama’s theorem, and the Gindikin-Karpelevic formula for G_2,
with Louis Gaudet and Holley Friedlander. Journal of Algebraic Combinatorics
**41**(2015), no. 4, 1089–1102. - Kazhdan–Lusztig cells in planar hyperbolic Coxeter groups and
automata, with Mikhail Belolipetsky and Richard
Scott. International Journal of Algebra and Computation
**24**(2014), no. 5, 757–772. - Mod 2 homology of GL(4) and Galois representations,
with Avner Ash
and Mark McConnell. J. Number Theory
**146**(2015), 4–22 (special issue dedicated to Steve Rallis). - Cells in Coxeter Groups I, with Misha
Belolipetsky. J. Algebra
**385**(2013), 134–144. - Lectures on computing cohomology of arithmetic groups,
Proceedings of the Conference on Modular Forms, Heidelberg,
Germany, 2011. Contributions in Mathematical and Computational
Sciences (Springer-Verlag)
**6**(2014), 3–45. - On Hilbert modular threefolds of discriminant 49, with Lev
A. Borisov. Selecta Math. (N.S.)
**19**(2013), no. 4, 923–947. - Modular forms and elliptic curves over the cubic field of
discriminant −23, with Dan Yasaki. Int. J. Number Theory
**9**(2013), no. 1, 53–76. - Generalized Burnside rings and module categories, with Andrew
Rose and D. Rumynin. J. Algebra
**358**(2012), 33–50. - Resolutions of the Steinberg module for GL(n), with Avner Ash
and Mark McConnell. J. Algebra
**349**(2012), 380–390. - Metaplectic Ice, with Ben Brubaker, Dan Bump, Gautam Chinta, and Solomon Friedberg, Multiple Dirichlet Series, L-functions and Automorphic Forms, 65–92, Birkhaeuser Boston, 2012.
- Metaplectic Whittaker functions and Crystals of type B, with Ben Brubaker, Dan Bump, and Gautam Chinta, Multiple Dirichlet Series, L-functions and Automorphic Forms, 93–118, Birkhaeuser Boston, 2012.
- Modular forms and elliptic curves over the field of fifth roots of
unity, with Farshid Hajir and Dan Yasaki.
Experimental Math.
**22**(2013), no. 2, 203–216. - Littelmann patterns and Weyl group multiple Dirichlet series of type D, with Gautam Chinta, Multiple Dirichlet Series, L-functions and Automorphic Forms, 119–130, Birkhaeuser Boston, 2012.
- Kazhdan–Lusztig cells in infinite Coxeter groups, with Misha
Belolipetsky. Proceedings of Belfast (UK) meeting
Workshop on Algebra, Combinatorics and Dynamics, August 17–21, 2009. J. Gen. Lie Theory Appl.
**9**(2015), no. S1, Art. ID S1–002, 4 pp. - Torsion in the cohomology of congruence subgroups of SL(4,Z) and
Galois representations, with Avner Ash and Mark
McConnell. J. Algebra
**325**(2011), 404–415. - Automata and cells in affine Weyl groups, Represent. Theory
**14**(2010), 627–644. - On the cohomology of congruence subgroups of SL(4,Z), Proceedings of the RIMS workshop Automorphic representations, automorphic L-functions, and arithmetic, (ed. Yoshi-Hiro Ishikawa), RIMS Kokyuroku 2009.
- Weyl group multiple Dirichlet series of type A2, with Gautam
Chinta.
*Number Theory, Analysis and Geometry: In Memory of Serge Lang*, 125–142, Springer, New York, 2012. - Cohomology of congruence subgroups of SL4 (Z) III, with Avner
Ash and Mark McConnell, Math. Comp.
**79**(2010), 1811–1831. - Constructing Weyl group multiple Dirichlet series, with Gautam
Chinta, J. Amer. Math. Soc.
**23**(2010), 189–215. - Hecke operators and Hilbert modular forms,
with Dan Yasaki, Algorithmic number theory (Banff, 2008), 387–401,
Lecture Notes in Comput. Sci.,
**5011**, Springer, Berlin, 2008. - Cohomology of congruence subgroups of SL(4, Z)
II, with Avner Ash and Mark McConnell,
J. of Number Theory
**128**(2008), no. 8, 2263–2274. - On the p-parts of quadratic Weyl multiple Dirichlet
series, with Gautam Chinta and Solomon
Friedberg, J. Reine Angew. Math.
**623**(2008), 1–23. J. Reine Angew. Math. - Lattice polytopes, Hecke operators, and the Ehrhart
polynomial, with Fernando Rodriguez
Villegas, Selecta Math.
**13**(2007), 253–276. - On certain integral Schreier graphs of the symmetric
group, with Richard Scott and Byron
Walden, Electronic J. of Combinatorics
**14**(2007), no. 1. - Weyl group multiple Dirichlet series constructed from quadratic
twists, with Gautam Chinta, Invent. Math.
**167**(2007), no.2, 327–353. - Robert MacPherson and arithmetic groups, Pure
and Appl. Math. Quarterly
**2**(2006), no. 4, 1015–1052. Special volume dedicated to Robert MacPherson. - Computing in higher rank, appendix to the book Modular Forms, a computational approach, by William Stein, GSM v.79, American Math. Society.
- Cells in Coxeter groups, Notices of the AMS,
**53**(2006), no. 5, 528–535. - Geometry of the tetrahedron space, with
Eric Babson and Richard Scott. Adv. Math.
**204**(2006), no. 1, 176–203. - Some elementary Ramanujan graphs,
Geom. Dedicata.
**112**(2005), no. 1, 53–65. - A characterization of Dynkin elements, with Eric
Sommers, Math. Res. Lett.
**10**(2003), no. 2–3, 363–373. - Toric modular forms of higher weight, with Lev
A. Borisov, J. Reine Angew. Math.
**560**(2003), 43–64. - Hecke operators and Q-groups associated to self-adjoint homogeneous
cones, with Mark McConnell, J. Number Theory
**100**(2003), no. 1, 46–71. - Evaluation of Dedekind sums, Eisenstein cocycles, and special
values of L-functions, with Robert
Sczech. Duke Math. J.
**118**(2003), no. 2, 229–260. - Wonderful blowups associated
to group actions, with Lev A. Borisov, Selecta
Math. N.S.
**8**(2002), no. 3, 373–379. - Cohomology of congruence subgroups of SL(4,
Z), with Avner Ash and Mark
McConnell, J. of Number Theory
**94**(2002), 181–212. - A smooth space of tetrahedra, with Eric Babson and
Richard Scott, Adv. Math.
**165**(2002), no. 2, 285–312. - Elliptic functions and equations of modular
curves, with Lev A. Borisov and Sorin
Popescu, Math. Ann.
**321**(2001), no. 3, 553–568. - Toric varieties and modular forms, with Lev
A. Borisov, Invent. Math.
**144**(2001), no. 2, 297–325. - Toric modular forms and nonvanishing of
L-functions, with Lev A. Borisov. J. Reine
Angew. Math.
**539**(2001), 149–165. - Eisenstein series twisted by modular symbols for the group
SL(n), with Dorian Goldfeld.
Math. Res. Lett.
**7**(2000), 1–10. - Modular symbols and Hecke operators, Algorithmic
number theory (Leiden, 2000), 347–358, Lecture Notes in
Comput. Sci.,
**1838**, Springer, Berlin, 2000. - Computing special values of partial zeta functions, with Gautam
Chinta and Robert Sczech, Algorithmic number theory (Leiden,
2000), 247–256, Lecture Notes in Comput. Sci.,
**1838**, Springer, Berlin, 2000. - Computing Hecke eigenvalues below the cohomological dimension,
J. of Experimental Mathematics
**9**(2000), no. 3, 351–367. - Finiteness of minimal modular symbols for SL(n),
J. Number Theory
**82**(2000), no. 1, 134–139. - Symplectic modular symbols
Duke Math. J.
**102**(2000), no. 2, 329–350 - Modular symbols for rank-one Q-groups and Voronoi reduction,
J. Number Theory
**75**(1999), no. 2, 198–219.

- Units, polyhedra, and a conjecture of Satake, with Jacob Sturm.
- On toric varieties and modular forms, MPIM preprint 2001. This is a writeup of a talk given at the Arbeitstagung, Bonn, 2001.
- On the cryptanalysis of the generalized simultaneous conjugacy search problem and the security of the Algebraic Eraser.
- Defeating the Kalka–Teicher–Tsaban linear algebra attack on the Algebraic Eraser, with Dorian Goldfeld.
- Defeating the Ben-Zvi, Blackburn, and Tsaban Attack on the Algebraic Eraser, with Iris Anshel, Derek Atkins, and Dorian Goldfeld.