Welcome to Alexandre Barchechat's Homepage
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A regular exchange.
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Address:
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- Mail:
- Mathematics Department
Tulane University
6823 St. Charles Ave.
New Orleans, LA 70118
USA
- E-mail:
alexb@math.tulane.edu
- Office: 309 Gibson Hall.
Research Area:
Low-Dimensional Topology, Geometric Topology, Triangulations of 3-manifolds.
I am currently working on collapsing normal 2-spheres in minimal triangulations of compact orientable 3-manifolds.
My thesis:
Triangles.
Articles:
Connected sums of triangulated 3-manifolds, submitted to Geometry and Topology.
Decomposing a minimal triangulation into irreducible pieces in
polynomial time, in preparation.
A sharp upper bound for a maximal collection of disjoint essential non-parallel
2-spheres, in preparation.
Collapsing normal tori, in preparation.
Conferences:
Cornell Topology Festival, May 2004:
Cornell.
Three-Dimensional Geometry and Topology, Oxford University, August 2004:
Oxford.
Link to many conferences:
conferences.
Teaching:
MATH 221, Spring 2004, Multivariable Calculus.
Math 441-01, Fall 2004, Topology.
Math 779, Spring 2005, Knots and
3-Manifolds.
Math 305-02, Fall 2005, Real Analysis.
Personal:
Nicole Hoover, the love of my life. She is a math instructor at University of New Orleans.
Pictures of my family.
Some funny pictures: greatest moments in sports.
Some recipes.
Private.
Some interesting math web sites:
Links to low-dimensional topology.
History of mathematicians.
The geometry
junkyard.
The Math ArXiv.
To download: Tex or Latex compilers: (MiKTeX) , and
ghostcript and ghostview: (ghost).
Other non-math links:
Ashtanga yoga in New Orleans.
Ashtanga Yoga Research Institute: AYRI .
The Ayurvedic Institute.
Grow your own sprouts!