Publications of Paul Gunnells

Most papers include figures that aren't in the DVI files. You can see them in the PostScript or PDF files. Other formats can be obtained from the arXiv via the UC Davis Front.

38. [Abs] [PS] [PDF] with Misha Belolipetsky, Kazhdan-Lusztig cells in infinite Coxeter groups. Submitted to the proceedings of the Workshop on Algebra, Combinatorics and Dynamics, August 17--21, 2009 (Belfast, UK). Here's the Russian version if you prefer that.
37. [Abs] [PS] [PDF] with Gautam Chinta, Littelmann patterns and Weyl group multiple Dirichlet series of type D, submitted 2009.
36. [Abs] [PS] [PDF] with Dan Yasaki, Perfect forms over totally real number fields, submitted 2009.
35. [Abs] [PS] [PDF] On the cohomology of congruence subgroups of SL(4,Z), Proceedings of the RIMS workshop Automorphic representations, automorphic L-functions, and arithmetic, 2009.
34. [Abs] [PS] [PDF] with Avner Ash and Mark McConnell, Cohomology of congruence subgroups of SL(4,Z) III, Math. Comp. (to appear).
33. [Abs] [PS] [PDF] Automata and cells in affine Weyl groups, submitted 2008.
32. [Abs] [PS] [PDF] with Gautam Chinta, Constructing Weyl group multiple Dirichlet series, J. Amer. Math. Soc., to appear.
31. [Abs] [PS] [PDF] with Dan Yasaki, Hecke operators and Hilbert modular forms, Algorithmic number theory (Banff, 2008), 387--401, Lecture Notes in Comput. Sci. 5011, 2008.
30. [Abs] [PS] [PDF] with Avner Ash and Mark McConnell, Cohomology of congruence subgroups of SL(4,Z) II, J. Number Theory 128 (2008), no. 8, 2263--2274.
29. [Abs] [PS] [PDF] with Gautam Chinta, Weyl group multiple Dirichlet series of type A_2, to appear in the Lang memorial volume.
28. [Abs] [PS] [PDF] with Gautam Chinta and Solomon Friedberg, On the p-parts of quadratic Weyl group multiple Dirichlet series, J. Reine Angew. Math. 623 (2008), 1--23.
27. [Abs] [PS] [PDF] with Gautam Chinta, Weyl group multiple Dirichlet series constructed from quadratic twists, Invent. Math. 167 (2007), no.2, 327-353.
26. [Abs] [PS] [PDF] Robert MacPherson and arithmetic groups, Pure and Applied Math. Quarterly 2 (2006), no. 4, 1015--1052. Volume 2 of a three volume series dedicated to Robert MacPherson.
25. [Abs] [PS] [PDF] with Richard Scott and Byron Walden, On certain integral Schreier graphs of the symmetric group, Electronic Journal of Combinatorics 14 (2007), no. 1.
24. [Abs] [PS] [PDF] Computing in higher rank. This is an appendix for the book Modular Forms, a Computational Approach, by Willam A. Stein. It appeared as vol. 79 in the AMS Graduate Studies in Mathematics series.
23. [Abs] [PS] [PDF] Cells in Coxeter groups, Notices of the AMS 53 (2006), no. 5, 528--535. Warning: The PS file is big, and certain figures take a long time to render.
22. [Abs] [PS] [DVI] with Fernando Rodriguez Villegas, Lattice polytopes, Hecke operators, and the Ehrhart polynomial, Selecta Math. 13 (2007), 253-276.
21. [Abs] [PS] [DVI] Some elementary Ramanujan graphs, Geometriae Dedicata 112 (2005), 51--63.
20. [Abs] [PS] [DVI] with Eric Sommers, A characterization of Dynkin elements, Math. Res. Lett. 10 (2003), no. 2-3, 363--373.
19. [Abs] [PS] [DVI] with Eric Babson and Richard Scott, Geometry of the tetrahedron space, Adv. Math. 204 (2006), no. 1, 176--203.
18. [Abs] [PS] [DVI] On toric varieties and modular forms, MPIM preprint (2001).
17. [Abs] [PS] [DVI] with Jacob Sturm, Units, polyhedra, and a conjecture of Satake, preprint (2002).
16. [Abs] [PS] [DVI] with Lev A. Borisov, Wonderful blowups associated to group actions, Selecta Math. (N.S.) 8 (2002), no. 3, 373--379.
15. [Abs] [PS] [DVI] with Lev A. Borisov, Toric modular forms of higher weight, J. Reine Angew. Math. 560 (2003), 43--64.
14. [Abs] [PS] [DVI] with Lev A. Borisov and Sorin Popescu, Elliptic functions and equations of modular curves, Math. Ann. 321 (2001), no. 3, 553--568.
13. [Abs] [PS] [DVI] with Dorian Goldfeld, Eisenstein series twisted by modular symbols for the group SL(n), Math. Res. Lett. 7 (2000), 1-10.
12. [Abs] [PS] [DVI] Modular symbols and Hecke operators, Algorithmic number theory (Leiden, 2000), 347-358, Lecture Notes in Comput. Sci., 1838, Springer, Berlin, 2000.
11. [Abs] [PS] [DVI] with Gautam Chinta and Robert Sczech, Computing special values of partial zeta functions, Algorithmic number theory (Leiden, 2000), 247-256, Lecture Notes in Comput. Sci., 1838, Springer, Berlin, 2000.
10. [Abs] [PS] [DVI] with Lev A. Borisov, Toric modular forms and nonvanishing of L-functions, J. Reine Angew. Math. 539 (2001), 149--165.
9. [Abs] [PS] [DVI] with Lev A. Borisov, Toric varieties and modular forms, Invent. Math. 144 (2001), no. 2, 297--325.
8. [Abs] [PS] [DVI] with Avner Ash and Mark McConnell, Cohomology of congruence subgroups of SL(4,Z), J. Number Theory 94 (2002), no. 1, 181--212.
7. [Abs] [PS] [DVI] with Robert Sczech, Evaluation of Dedekind sums, Eisenstein cocycles, and special values of L-functions, Duke Math. J. 118 (2003), no. 2, 229--260.
6. [Abs] [PS] [DVI] with Eric Babson and Richard Scott, A smooth space of tetrahedra, Adv. Math. 165 (2002), no. 2, 285--312.
5. [Abs] [PS] [DVI] Computing Hecke eigenvalues below the cohomological dimension, J. of Experimental Mathematics 9 (2000), no. 3, 351-367.
4. [Abs] [PS] [DVI] with Mark McConnell, Hecke operators and Q-groups associated to self-adjoint homogeneous cones, J. Number Theory 100 (2003), no. 1, 46--71.
3. [Abs] [PS] [DVI] Finiteness of minimal modular symbols for SL(n), J. Number Theory 82 (2000), no. 1, 134--139.
2. [Abs] [PS] [DVI] Symplectic modular symbols, Duke Math. J. 102 (2000), no. 2, 329-350.
1. [Abs] [PS] [DVI] Modular symbols for rank-one Q-groups and Voronoi reduction, J. Number Theory 75 (1999), no. 2, 198-219.