Publications

• Internal categories and quantum groups. Cornell Ph.D. thesis, August 1997.
• Braids, q-binomials and quantum groups. Advances in Applied Mathematics 20 (1998) 323-365. To journal
• Galois connections for incidence Hopf algebras of partially ordered sets. Joint with Walter Ferrer Santos. Advances in Math. 151 (2000) 71-100. To journal
• Binomial braids, zonotopes and quantum groups. Annals of Combinatorics 4 (2000) 433-468. To journal
• A note on strongly separable algebras. Boletín de la Academia Nacional de Ciencias (Córdoba,Argentina), special issue in honor of Orlando Villamayor, vol 65 (2000) 51-60.
• Prepoisson algebras. Letters in Mathematical Physics vol 54 (4) (December 2000) 263-277. To journal
• Infinitesimal Hopf algebras. Contemporary Mathematics 267 (2000) 1-30.
• On the associative analog of Lie bialgebras. Journal of Algebra 244 (2001) 492-532. To journal
• Infinitesimal Hopf algebras and the cd-index of polytopes. Discrete and Computational Geometry 27 n1 (2002) 3-28. To journal
• Structure of the Malvenuto-Reutenauer Hopf algebra of permutations. Joint with Frank Sottile.
  • Extended abstract (12 pages) for 14th International Conference on Formal Power Series and Algebraic Combinatorics, Melbourne, July 2002.
  • Complete paper (March 2002). Advances in Mathematics 191 n2 (2005) 225-275. To journal
• Infinitesimal bialgebras, pre-Lie and dendriform algebras. (11/15/02) in "Hopf Algebras", Lecture Notes in Pure and Applied Mathematics vol 237 (2004) 1-33.
• The peak algebra and the descent algebras of types B and D. (02/22/03). Joint with Nantel Bergeron and Kathryn Nyman. Transactions of the American Mathematical Society 356 (2004), 2781-2824. To journal
• Quadri-algebras. (09/09/03). Joint with Jean-Louis Loday. Journal of Pure and Applied Algebra 191 (2004), n3, 205-221. To journal
• Combinatorial Hopf algebras and generalized Dehn-Sommerville equations. (10/01/03). Joint with Nantel Bergeron and Frank Sottile. Compositio Mathematica 142 (2006) 1-30. To journal
• Representations of matched pairs of groupoids and applications to weak Hopf algebras. (02/02/04). Joint with Nicolás Andruskiewitsch. Contemporary Mathematics 376 (2005) 127-173.
• Cocommutative Hopf algebras of permutations and trees. (03/18/04) Joint with Frank Sottile. Journal of Algebraic Combinatorics 22 (2005), n4, 451-470. To journal
• New results on the peak algebra. (06/09/04). Joint with Kathryn Nyman and Rosa Orellana. Journal of Algebraic Combinatorics 23 n2 (2006) 149-188. To journal
• Canonical characters on quasi-symmetric functions and bivariate Catalan numbers. (07/23/04). Joint with Sam Hsiao. Electronic Journal of Combinatorics 11(2), 2004-2005, R15: 34 pp. Special volume in honor of Richard Stanley. To journal
• Structure of the Loday-Ronco Hopf algebra of trees. (08/31/04) Joint with Frank Sottile. Journal of Algebra. 295 n2 (2006) 473-511. To journal
• The smash product of symmetric functions. Joint with Walter Ferrer and Walter Moreira.
  • Extended abstract (13 pages) (11/25/04).
• The Hopf algebra of uniform block permutations. Joint with Rosa Orellana.
  • Extended abstract (16 pages) (11/25/04).
  • Complete paper (23 pages) (01/16/07). To appear in Journal of Algebraic Combinatorics. To journal
• Combinatorics of the free Baxter algebra. (09/31/05) Joint with Walter Moreira. Electronic Journal of Combinatorics 13(1), 2006, R17: 38 pp. To journal
• The associative operad and the weak order on the symmetric groups. (11/29/05) Joint with Muriel Livernet. Journal of Homotopy and Related Structures 2 (2007), No. 1, 57-84. To journal
• Coxeter groups and Hopf algebras. (October 2005, 190 pages.) Joint with Swapneel Mahajan. Fields Institute Monographs, Volume #23 (2006), AMS, Providence, RI. AMS preview

Teaching

Texas A&M University

• Calculus 151, Fall 01
• Linear Algebra 304, Spring 02
• Linear Algebra 304, Fall 02
• Linear Algebra 304, Spring 03
• Combinatorics 431, Fall 03
• Discrete Mathematics 302, Spring 04
• Discrete Mathematics 302, Spring 05
• Graduate Combinatorics 630, Fall 05
• Discrete Mathematics 302, Spring 06
• Graduate Algebra 653, Fall 06
• Introduction to Algebra 662, Spring 07
• Graduate Combinatorics 630, Fall 07
• Calculus 172 (for Math and science majors), Spring 08

Soccer

Marcelo Aguiar
Department of Mathematics
Texas A&M University
College Station, TX 77843
maguiar@math.tamu.edu