Marcelo Aguiar
Address
Publications
Monographs
Teaching
Coxeter bialgebras
with
Swapneel Mahajan
To appear in
Encyclopedia of Mathematics and its Applications.
Cambridge University Press
Associahedra, cyclohedra, and inversion of power series
with
Jose Bastidas
Finished October 2020
Dendriform algebras relative to a semigroup
Finished March 2020
Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) 16 (2020), 066, 15 pp.
Bimonoids for hyperplane arrangements
with
Swapneel Mahajan
Encyclopedia of Mathematics and its Applications 173 (2020), 850 pp.
Cambridge University Press
Characteristic elements for real hyperplane arrangements
with
Jose Bastidas
and
Swapneel Mahajan
Finished November 2018
Séminaire Lotharingien de Combinatoire 82B (2019) Article #60, 12 pp.
Topics in hyperplane arrangements
with
Swapneel Mahajan
Finished May 2017
Mathematical Surveys and Monographs of the AMS Vol. 226 (2017) 611 pp.
Hopf monoids and generalized permutahedra
with
Federico Ardila
To appear in Memoirs of the American Mathematical Society.
Heisenberg product: From Hopf algebras and species to symmetric functions
with
Walter Ferrer
and Walter Moreira
Sao Paulo Journal of Mathematical Sciences (2017), Volume 11, Issue 2, pp 261--311
Extended abstract (2004)
Monads on higher monoidal categories
with
Mariana Haim
and
Ignacio López Franco
Finished January 2017
Applied Categorical Structures (2018), Volume 26, Issue 3, 413--458.
Toric arrangements associated to graphs
with
Swee Hong Chan
Finished November 2016
S\'eminaire Lotharingien de Combinatoire 78B.84 (2017)
The Steinberg torus of a Weyl group as a module over the Coxeter complex
with
Kyle Petersen
Finished June 2014
Journal of Algebraic Combinatorics (2015), Volume 42, Issue 4, 1135--1175
The characteristic polynomial of the Adams operators on graded connected Hopf algebras
with
Aaron Lauve
Finished March 2014
Algebra & Number Theory 9-3 (2015), 547--583
On the Hadamard product of Hopf monoids
with
Swapneel Mahajan
Finished July 2012
Canadian Journal of Mathematics 66 (2014), no. 3, 481-504
Hopf monoids in the category of species
with
Swapneel Mahajan
Finished September 2012
Contemporary Mathematics 585 (2013), 17-124
Generalized Hopf Modules for bimonads
with
Steve Chase
Finished April 2012
Theory and Applications of Categories, Vol. 27 (2013), No. 13, 263-326
Hopf monoids from class functions on unitriangular matrices
with
Nantel Bergeron
and
Nat Thiem
Finished February 2012
Algebra & Number Theory 7-7 (2013), 1743-1779
Lagrange's Theorem for Hopf Monoids in Species
with
Aaron Lauve
Finished May 2011
Canadian Journal of Mathematics 65 (2013), no. 2, 241-265
Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras
with
27 coauthors
Advances in Mathematics 229 (2012) 2310-2337
Monoidal functors, species and Hopf algebras
with
Swapneel Mahajan
Finished May 2010
CRM Monograph Series, Vol 29 (2010)
The Hopf algebra of uniform block permutations
with
Rosa Orellana
Finished January 2007
Journal of Algebraic Combinatorics 28, n1 (2008) 115-138
FPSAC extended abstract
The associative operad and the weak order on the symmetric groups
with
Muriel Livernet
Finished November 2005
Journal of Homotopy and Related Structures 2 (2007), No. 1, 57-84
Coxeter groups and Hopf algebras
with
Swapneel Mahajan
Finished October 2005
Fields Institute Monographs, Vol 23 (2006)
Combinatorics of the free Baxter algebra
with
Walter Moreira
Electronic Journal of Combinatorics 13(1), 2006, R17: 38 pp
Structure of the Loday-Ronco Hopf algebra of trees
with
Frank Sottile
Finished August 2004
Journal of Algebra. 295 n2 (2006) 473-511
New results on the peak algebra
with
Kathryn Nyman
and
Rosa Orellana
Finished June 2004
Journal of Algebraic Combinatorics 23 n2 (2006) 149-188
Combinatorial Hopf algebras and generalized Dehn-Sommerville equations
with
Nantel Bergeron
and
Frank Sottile
Finished October 2003
Compositio Mathematica 142 (2006) 1-30
Canonical characters on quasi-symmetric functions and bivariate Catalan numbers
with
Sam Hsiao
Finished July 2004
Electronic Journal of Combinatorics 11(2), 2004-2005, R15: 34 pp.
Special volume in honor of Richard Stanley
Cocommutative Hopf algebras of permutations and trees
with
Frank Sottile
Finished March 2004
Journal of Algebraic Combinatorics 22 (2005), n4, 451-470
Representations of matched pairs of groupoids and applications to weak Hopf algebras
with
Nicolás Andruskiewitsch
Finished February 2004
Contemporary Mathematics 376 (2005) 127-173
Structure of the Malvenuto-Reutenauer Hopf algebra of permutations
with
Frank Sottile
Finished March 2002
Advances in Mathematics 191 n2 (2005) 225-275
FPSAC extended abstract
Quadri-algebras
with
Jean-Louis Loday
Finished September 2003
Journal of Pure and Applied Algebra 191 (2004), n3, 205-221
The peak algebra and the descent algebras of types B and D
with
Nantel Bergeron
and
Kathryn Nyman
Finished February 2003
Transactions of the American Mathematical Society 356 (2004), 2781-2824
Infinitesimal bialgebras, pre-Lie and dendriform algebras
Finished November 2002
in
"Hopf Algebras", Lecture Notes in Pure and Applied Mathematics vol 237 (2004) 1-33
Infinitesimal Hopf algebras and the cd-index of polytopes
Discrete and Computational Geometry 27 n1 (2002) 3-28
On the associative analog of Lie bialgebras
Journal of Algebra 244 (2001) 492-532
Infinitesimal Hopf algebras
Contemporary Mathematics 267 (2000) 1-30
Prepoisson algebras
Letters in Mathematical Physics vol 54 (4) (December 2000) 263-277
A note on strongly separable algebras
Boletín de la Academia Nacional de Ciencias (Córdoba, Argentina), vol 65 (2000) 51-60
Special issue in honor of Orlando Villamayor
Binomial braids, zonotopes and quantum groups
Annals of Combinatorics 4 (2000) 433-468
Galois connections for incidence Hopf algebras of partially ordered sets
with
Walter Ferrer Santos
Advances in Math. 151 (2000) 71-100
Braids, q-binomials and quantum groups
Advances in Applied Mathematics 20 (1998) 323-365
Internal categories and quantum groups
Cornell Ph.D. thesis, August 1997