Publications of Michael E. Hoffman

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Cohomology endomorphisms and fixed-point-free maps

1. S. Allen Broughton, Michael E. Hoffman, and William H. Homer, `The height of two-dimensional cohomology classes of complex flag manifolds,' Canadian Mathematical Bulletin 26 (1983), 498-502. MR 85f:57027; Zbl 519.57038.
2. Michael E. Hoffman, `Endomorphisms of the cohomology of complex Grassmannians,' Transactions of the American Mathematical Society 281 (1984), 745-760. MR 85f:57028; Zbl 566.14022.
3. Michael E. Hoffman, `On fixed point free maps of the complex flag manifold,' Indiana University Mathematics Journal 33 (1984), 249-255. MR 85j:57062; Zbl 528.55003.
4. Michael E. Hoffman and William H. Homer, `On cohomology automorphisms of complex flag manifolds,' Proceedings of the American Mathematical Society 91 (1984), 643-648. MR 85m:57028; Zbl 604.57029.
5. Michael E. Hoffman, `Noncoincidence index of manifolds,' Pacific Journal of Mathematics 115 (1984), 373-383. MR 86a:55001; Zbl 558.55003.
6. Michael E. Hoffman, `Free actions of abelian groups on a Cartesian power of an even sphere,' Canadian Mathematical Bulletin 30 (1987), 358-362. MR 88h:57037; Zbl 596.57024.
7. Michael E. Hoffman, `Homological restrictions on free group actions,' Indiana University Mathematics Journal 37 (1988), 379-387. MR 89k:57079; Zbl 664.57017.
8. Michael E. Hoffman, `Noncoincidence index, free group actions, and the fixed point property for manifolds,' Pacific Journal of Mathematics 136 (1989), 129-144. MR 90a:55006; Zbl 707.55001.

Generalized Chebyshev polynomials

1. Michael E. Hoffman and Wm. Douglas Withers, `Generalized Chebyshev polynomials associated with affine Weyl groups,' Transactions of the American Mathematical Society 308 (1988), 91-104. MR 89m:33017; Zbl 681.323020.

Multiple zeta values and related algebra

1. Michael E. Hoffman, `Multiple harmonic series', Pacific Journal of Mathematics 152 (1992), 275-290. MR 92i:11089; Zbl 763.11037.
2. Michael E. Hoffman and Courtney Moen, `Sums of triple harmonic series,' Journal of Number Theory 60 (1996), 329-331. MR 98a:11113; Zbl 863.11051.
3. Michael E. Hoffman, `The algebra of multiple harmonic series,' Journal of Algebra 194 (1997), 477-495. MR 99e:11119; Zbl 881.11067.
4. Michael E. Hoffman, `Quasi-shuffle products,' Journal of Algebraic Combinatorics 11 (2000), 49-68. MR 2001f:05157 ; Zbl 959.16021.
5. Michael E. Hoffman, `Periods of mirrors and multiple zeta values,' Proceedings of the American Mathematical Society 130 (2002), 971-974. MR 2002k:14068 ; Zbl 994.32020.
6. Michael E. Hoffman and Yasuo Ohno, `Relations of multiple zeta values and their algebraic expression,' Journal of Algebra 262 (2003), 332-347. MR 2004c:11163 .
7. Michael E. Hoffman, `The Hopf algebra structure of multiple harmonic sums,' Nuclear Physics B (Proceedings Supplement) 135 (2004), 215-219. MR 2005i:11125 .
8. Michael E. Hoffman, `Algebraic aspects of multiple zeta values,' in Zeta Functions, Topology and Quantum Physics (Developments in Mathematics, vol. 14), T. Aoki et. al. (eds.), Springer, New York, 2005, pp. 51-74. MR 2006g:11185 .
9. Michael E. Hoffman, `Quasi-symmetric functions, multiple zeta values, and rooted trees,' Oberwolfach Reports 3 (2006), 1259-1262.

Derivative polynomials

1. Michael E. Hoffman, `Derivative polynomials for tangent and secant,' American Mathematical Monthly 102 (1995), 23-30. MR 95m:26003; Zbl 834.26002.
2. Michael E. Hoffman, `Derivative polynomials, Euler polynomials, and associated integer sequences,' Electronic Journal of Combinatorics 6 (1999), #R21 (13 pages). MR 2000c:11027 ; Zbl 933.11005.

Posets, rooted trees, and algebra

1. Michael E. Hoffman, `An analogue of covering space theory for ranked posets,' Electronic Journal of Combinatorics 8(1) (2001), #R32 (12 pages). MR 2003d:06004 ; Zbl 1007.06004.
2. Michael E. Hoffman, `Combinatorics of rooted trees and Hopf algebras,' Transactions of the American Mathematical Society 355 (2003), 3795-3811. MR 2004e:16040 ; Zbl 1048.16023.
3. Michael E. Hoffman, `(Non)Commutative Hopf algebras of trees and (quasi)symmetric functions,' to appear in Proceedings of CIRM Conference on Renormalization and Galois Theories.

Miscellaneous

1. Michael E. Hoffman, `An invariant of finite abelian groups,' American Mathematical Monthly 94 (1987), 664-666. MR 89g:20084.
2. Michael E. Hoffman, `The bull and the silo: an application of curvature,' American Mathematical Monthly 105 (1998), 55-58. MR 99a:53002; Zbl 908.53001.

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