ON DISTINGUISHING TREES BY THEIR CHROMATIC
SYMMETRIC FUNCTIONS
JEREMY L. MARTIN, MATTHEW MORIN, AND JENNIFER D. WAGNER
Abstract. Let T be an unrooted tree. The chromatic symmetric function
XT , introduced by Stanley, is a sum of monomial symmetric functio
CRITICAL GROUPS OF SIMPLICIAL COMPLEXES
ART M. DUVAL, CAROLINE J. KLIVANS, AND JEREMY L. MARTIN
Abstract. We generalize the theory of critical groups from graphs to simplicial complexes. Specically, given a simplicial complex, we dene a family
of abelian
ENUMERATING COLORINGS, TENSIONS AND FLOWS IN
CELL COMPLEXES
MATTHIAS BECK, FELIX BREUER, LOGAN GODKIN, AND JEREMY L. MARTIN
Abstract. We study quasipolynomials enumerating proper colorings, nowherezero tensions, and nowhere-zero ows in an arbitrary CW-com
CELLULAR SPANNING TREES AND LAPLACIANS OF CUBICAL
COMPLEXES
ART M. DUVAL, CAROLINE J. KLIVANS, AND JEREMY L. MARTIN
Is there a q -analogue of that? Dennis Stanton.
Abstract. We prove a Matrix-Tree Theorem enumerating the spanning trees of a cell complex
i
CUTS AND FLOWS OF CELL COMPLEXES
ART M. DUVAL, CAROLINE J. KLIVANS, AND JEREMY L. MARTIN
Abstract. We study the vector spaces and integer lattices of cuts and
ows associated with an arbitrary nite CW complex, and their relationships to group invariants in
GRAPH VARIETIES IN HIGH DIMENSION
THOMAS ENKOSKY AND JEREMY L. MARTIN
Abstract. We study the picture space X d (G) of all embeddings of a nite graph G as point-andline arrangements in an arbitrary-dimensional projective space, continuing previous work on
Updown Numbers and the Initial Monomials of
the Slope Variety
Jeremy L. Martin (University of Kansas)
Jennifer D. Wagner (Washburn University)
AMS Central Sectional Meeting
University of Notre Dame
November 6, 2010
The Slope Variety
P1 = (x1 , y1 ), . . .
THE MATHIEU GROUP M12 AND ITS PSEUDOGROUP
EXTENSION M13
JOHN H. CONWAY, NOAM D. ELKIES, AND JEREMY L. MARTIN
Abstract. We study a construction of the Mathieu group M12 using a game
reminiscent of Loyds 15-puzzle. The elements of M12 are realized as permut
Graphs and Spanning Trees
From Graphs to Simplicial Complexes
Shifted Simplicial Complexes
More Applications
Simplicial Matrix-Tree Theorems
Art Duval (University of Texas at El Paso)
Caroline Klivans (University of Chicago)
Jeremy Martin (University of K
THE INCIDENCE HOPF ALGEBRA OF GRAPHS
BRANDON HUMPERT AND JEREMY L. MARTIN
Abstract. The graph algebra is a commutative, cocommutative, graded,
connected incidence Hopf algebra, whose basis elements correspond to
nite graphs and whose Hopf product and copr