Stefan Forcey is moving     sforcey AT gmail DOT com
to the University of Akron department of Theoretical and Applied Mathematics.

Department page.     Bike photos.     Research talks.     Papers.     Projects.     Hopf algebras.     Department seminar.     n-Lab .


Preprints on the arXiv

Current research projects

Publication abstracts

Publication reviews


Research Statement

Condensed a bit

Find out about above and below graphics!


Selected Courses:

- Research Experience I and II.

- Advanced Linear Algebra
with Geometric Combinatorics.

- Algebraic Topology.

- Structured Category Theory.

Poster for TSU.

Teaching Statement


Hopf structures on the multiplihedra. (with A. Lauve & F. Sottile)
    submitted , 2009. [ arXiv ]   [ preprint ]

New Hopf structures on binary trees. (with A. Lauve & F. Sottile)
    to appear, DMTCS Proceedings, 21st Annual Conference on Formal Power Series
    and Algebraic Combinatorics. (Hagenberg, Austria, 2009). [ arXiv ]   [ preprint ]

Geometric combinatorial algebras: cyclohedron and simplex. (with D. Springfield)
    to appear, Journal of Algebraic Combinatorics , 2010. [ arXiv ]   [ preprint ]

Marked tubes and the graph multiplihedron. (with S.L. Devadoss)
    Algebraic and Geometric Topology , 8(4) 20812108, 2008. [ arXiv ]   [ journal ]

Convex Hull Realizations of the Multiplihedra
    Topology and its Applications, 156, 326-347, 2008. [ arXiv ]   [ journal ]

Quotients of the multiplihedron as categorified associahedra.
    Homotopy, Homology and Applications, vol. 10(2), 227256, 2008. [ arXiv ]   [ journal ]

Operads in iterated monoidal categories (with J. Siehler, E. Seth Sowers)
    Journal of Homotopy and Related Structures, 2, 1-43, 2007. [ arXiv ]   [ journal ]

Classification of braids which give rise to interchange (with F. Humes)
    Algebraic and Geometric Topology, 7, 1233-1274, 2007. [ arXiv ]   [ journal ]

Vertically iterated classical enrichment
    Theory and Applications of Categories, 12, 299-325, 2004. [ arXiv ]   [ journal ]

Enrichment over iterated monoidal categories
    Algebraic and Geometric Topology, 4, 95-119, 2004. [ arXiv ]   [ journal ]

Selected talks:

(see CV for chronology)

Algebras of polytopes based on network topology.[ slides ]

TSU Math and Physics seminar, Fall 2009.
Shapes and Lattices: introduction for students.[ slides ]

Special Session on Homotopical Algebra with Applications to Mathematical Physics and selected talks.
Polytopes, positrons, and antipodes. [ slides ]

Texas A&M Algebra and Combinatorics seminar Fall 2008
Polytopes, positrons, and antipodes.[ slides ]

Williams College Colloquium
How to draw a multiplihedron.

Seminar on Categories and Applications IV
N-fold operads: braids, Young diagrams, and dendritic growth. [ slides ]

Recent Advances in Algebraic Topology (AMS)
Multiplihedra: polytopes, pasting, and parameterized enrichment. [ slides ]

University of Pennsylvania Deformation Theory Seminar
Operads in iterated monoidal categories, featuring Young diagrams.

Category Theory O6
A categorification of the associahedra. [ slides ]

Workshop on Categorification and Higher-Order Geometry
Enrichment and Delooping of Categories with Loop Space Nerves.

n-categories: summer workshop at the IMA
Varieties of iterated enrichment. [ slides ]

Topology & Group Theory Seminar Vanderbilt University Fall 2005
Higher categories and geometric combinatorics of free groups.

Streetfest: Categories in algebra, geometry, and mathematical physics
n-fold operads in iterated monoidal categories. [ slides ]

Union College Mathematics Conference
Loop spaces, enrichment, and n-categories. [ slides ]

Here is the schedule for the research seminar which I organize for our math and physics
department, and here is the upcoming presentation .

Here is a map, showing department and parking, for visiting speakers.

From the Cornell Chronicle :
In brane-world theory, the ends of strings are anchored in our brane, so the particles we see can only move within the brane. But the particles that carry the gravitational force, known as gravitons, are closed strings -- little Cheerios -- and can "leak" out of the brane. This explains why gravity is much weaker than the electromagnetic force and the strong and weak nuclear forces. It also offers a possible explanation for the "dark matter" that astronomers need to explain why the mass of the universe doesn't agree with the observed objects. Dark matter could be in an adjacent brane, with its gravitons leaking into ours.

astronomy photos, CCD images


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