Browsing Department of Mathematics by Title
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Calibrations and minimal Lagrangian submanifolds
(Massachusetts Institute of Technology, 2001)This thesis will be concerned with the geometry of minimal submanifolds in certain Riemannian manifolds which possess some special geometric structure. Those Riemannian manifolds will fall into one of the following categories: ... 
The Canonical Model of a Singular Curve
(Springer, 200904)We give re fined statements and modern proofs of Rosenlicht's re sults about the canonical model C′ of an arbitrary complete integral curve C. Notably, we prove that C and C′ are birationally equivalent if and only if ... 
Cardy embedding of random planar maps and a KPZ formula for mated trees
(Massachusetts Institute of Technology, 2018)The SchrammLoewner evolution (SLE) is a random fractal curve which describes the scaling limit of interfaces in a wide range of statistical physics models. Liouville quantum gravity (LQG) is a random fractal surface which ... 
Causal structures in lie groups and applications to stability of differential equations
(Massachusetts Institute of Technology, 1980) 
Caustics and evolutes for convex planar domains
(Massachusetts Institute of Technology, 1986) 
Central limit theorems for D[0,1]valued random variables
(Massachusetts Institute of Technology, 1975) 
Chain and antichain enumeration in posets, and bary partitions
(Massachusetts Institute of Technology, 2004)The GreeneKleitman theorem says that the lengths of chains and antichains in any poset are intimately related via an integer partition, but very little is known about the partition [lambda](P) for most posets P. Our first ... 
Character sheaves on symmetric spaces
(Massachusetts Institute of Technology, 2001)Inspired by the work of Lusztig, we apply the theory of character sheaves on a symmetric space (h la Ginzburg and Grojnowski) to the problem of determining the spherical functions (averages of the irreducible characters) ... 
Characteristics cycles of toric varieties : perverse sheaves on rank stratifications
(Massachusetts Institute of Technology, 1995) 
Cicular symmetry in topological quantum field theory and the topology of the index bundle
(Massachusetts Institute of Technology, 1998) 
Circumferentially sinusoidal stress and strain in helicoidal shells.
(Massachusetts Institute of Technology, 1970) 
Classical simulation complexity of restricted models of quantum computation
(Massachusetts Institute of Technology, 2019)Restricted models of quantum computation are mathematical models which describe quantum computers that have limited access to certain resources. Wellknown examples of such models include the boson sampling model, extended ... 
Classification and enumeration of special classes of posets and polytopes
(Massachusetts Institute of Technology, 2010)This thesis concerns combinatorial and enumerative aspects of different classes of posets and polytopes. The first part concerns the finite Eulerian posets which are binomial, Sheffer or triangular. These important classes ... 
A classification of real and complex nilpotent orbits of reductive groups in terms of complex even nilpotent orbits
(Massachusetts Institute of Technology, 2012)Let g be a complex, reductive Lie algebra. We prove a theorem parametrizing the set of nilpotent orbits in g in terms of even nilpotent orbits of subalgebras of g and show how to determine these subalgebras and how to ... 
The classifying ring of groups whose classifying ring is commutative.
(Massachusetts Institute of Technology, 1975) 
Closed quasigeodesics, escaping from polygons, and conflictfree graph coloring
(Massachusetts Institute of Technology, 2018)Closed quasigeodesics. A closed quasigeodesic on the surface of a polyhedron is a loop which can everywhere locally be unfolded to a straight line: thus, it's straight on faces, uniquely determined on edges, and has as ... 
Cluster analysis
(Massachusetts Institute of Technology, 1953) 
Coadjoint orbits and induced representations
(Massachusetts Institute of Technology, 1993) 
Cocommutative Hopf algebras with antipode.
(Massachusetts Institute of Technology, 1965) 
Cofibrance and completion
(Massachusetts Institute of Technology, 1999)