Columbia University Dissertations: Dissertations

Mathematics: Dissertations

2007 - 2006 - 2005 - 2004 - 2003 - 2002 - 2001 - 2000 - 1999 - 1998 - 1997

2007 DISSERTATIONS

Egglezos, Nikolaos (2007) Aspects of utility maximization with habit formation : dynamic programming and stochastic PDE's

Said, Jeffrey (2007) Nonlinear stochastic models of liquidity effects in financial markets

Tsai, Chiung-Nan (2007) On some non-linear heat flows in Kähler geometry

Yuster, Debbie S. (2007) Triangulations, tropical geometry, and applications

2006 DISSERTATIONS

Alyurov, Mikhail (2006) Aloff-Wallach spaces : volumes, curvatures, injectivity radii

Atici, Alp (2006) Advances in quantum computational learning theory

Caputo, Maria Cristina (2006) Highly degenerate harmonic mean curvature flow

Kawamuro, Keiko (2006) The algebraic crossing number and the braid index of knots and links

Lamberson, Peter (2006) Splice type singularities and iterated branched cyclic covers

Laza, Radu (2006) Deformations of singularities and variations of GIT quotients

Ording, Philip (2006) On knot Floer homology of satallite (1,1) knots

Phan, Jeffry (2006) Order properties of monomial ideals and their free resolutions

Zuehlke, John (2006) Some diophantine equations with complex-valued exponents

2005 DISSERTATIONS

Doyle, Kathleen (2005) Contributions of the theory of conformal mapping to the field of electrical engineering education and practice

Feeney, Sean (2005) An instrument to measure implementation fidelity of an elementary mathematics program

Freiermuth, Hans Georg (2005) On partial compactifications of the space of framed vector bundles on the projective plane

Hedden, Matthew (2005) On knot floer homology and cabling

Marian, Amélie (2005) Evaluation of top-[kappa] queries over structured and semi-structured data

Martens, Johan (2005) Instanton counting through non-abelian localization

McInroy, Adam (2005) Orbifold mirror symmetry for complex tori

Moser, Harriet (2005) Proving a manifold to be hyperbolic once it has been approximated to be so

Niccolai, John (2005) Triple product L-functions

Qiu, Yannan (2005) Special cycles on Siegel 3-folds

Ruiz-Mata, Jesús (2005) Modeling market and credit risk and validation of modles

Sherman, Morgan (2005) The infinitely near Borel-fixed points on the Hilbert scheme/

Wambach, Eric (2005) Integral representations on U (2) x U (3) and geometric applications

2004 DISSERTATIONS

Cadman, Charles (2004) Quantum cohomology of stacks and enumerative applications

Casalaina-Martin, Sebastian (2004) Singularities of the prym theta divisor

Sadykov, Marat (2004) Two results in the arithmetic of Shimura curves

Samila, Sampsa (2004) Models of decision making in a social context

Thillainatesan, Meera (2004) A kernel for automorphic L-functions on GL(n,R)

Van Steirteghem, Bart (2004) A classification of smooth affine sperical varieties

Weinkove, Benjamin (2004) The J-flow, the Mabuchi energy, the Yang-Mills flow and multiplier ideal sheaves

2003 DISSERTATIONS

Akhmetshin, Alexei (2003) Integrable systems of particles on algebraic curves and their field analogs

Broaddus, Nathan (2003) Noncyclic covers of knot complements

Champanerkar, Abhijit (2003) A-polynomial and Bloch invariants of hyperbolic 3-manifolds

Lee, Hanjin (2003) The analytic singularities of the Bergman Kernels on strongly pseudoconvex domains

Nairn, Kristen (2003) Graver complexity of monomial curves in P3

Neduv, Eugene (2003) Symplectic capacities and periodic solutions in Hamiltonian systems

Nguyen Thanh, Phi Long (2003) On iterates of radon transform along curves with torsion and fractional integral operator

Rosario, Héctor (2003) Steganography : historical development and applications at the undergraduate level

Tian, Ye (2003) Euler systems of CM points on Shimura curves

Volvovski, Iouri (2003) Algebro-geometric methods in the theory of integrable systems

Zhang, Qiao (2003) Integral mean values of L-functions

2002 DISSERTATIONS

Brendle, Tara (2002) The Torelli group and representations of mapping class groups

Clingher, Adrian (2002) Heterotic string data and theta functions

Hundley, Joseph (2002) Siegel zeros of Einstein series on GL(n)

Offen, Omer (2002) Relative spherical functions on p-adic symmetric spaces (three cases)

Wrinkle, Nancy (2002) The Markov Theorem for transverse knots

Xue, Hui (2002) Central values of twisted L-functions

2001 DISSERTATIONS

Chau, Albert (2001) The Ricci flow on non-compact Kähler manifolds and Kähler Einstein metrics

Kamizono, Kenji (2001) Hedging and optimization under transaction costs

Langmead, Gregory (2001) A supersymmetric quantum field theory formulation of the Donaldson polynomial invariants

Popescu, Radu (2001) Topics in low dimensional topology

Raugas, Mark (2001) Topics in quantum geometry

Rosenberg, Gabriel (2001) Towers and covolumes of tree lattices

Zinno, Matthew (2001) Braid group algebras and representations

2000 DISSERTATIONS

Ajoodanian, Mehrzad (2000) Morse theory and taut foliation

Bertin, Marie-Amélie (2000) On the regularity of varieties : having an extremal secant line

Carr, Richard (2000) Using boxes to kill squares and other results on negative partition relations

Chen, Nan (2000) Positivity of central values of twisted L-functions

Chinta, Gautam (2000) On the analytic rank of elliptic curves over cyclotomic fields

Dzhamay, Anton (2000) Real-normalized Whitham hierarchies and the WDVV equations

Owens, Brendan (2000) Instantons on cylindrical manifolds and stable bundles

Pál, Ambrus (2000) Drinfeld modular curves, Heegner points and interpolation of special values

Safari, Pedram (2000) A gluing theorem for Seiberg-Witten moduli spaces

Sonnenfeldt, Lawrence (2000) The probability density function for Brownian Motion in Real and Complex Hyperbolic Spaces

1999 DISSERTATIONS

Blumenstein, Jay (1999) Minimizing risk in discrete models : theory and computation

Budhram, Arjune (1999) Trace of Hecke operators and the Petersson norm of weight (2,2) Hilbert modular forms

Shor, Jeremy (1999) On fixed subgroups of automorphisms in hyperbolic groups

Teodorescu, Titus (1999) Semistable torsion-free sheaves over curves of arithmetic genus one

1998 DISSERTATIONS

Deloup, Florian (1998) Explicit formulas for abelian quantum invariants of links in 3-manifolds

Joe, Dosang (1998) Symplectic structures on connected sums with a ruled surface and product formulas for Seiberg-Witten invariants along a nilmanifold

Liu, Yang (1998) Cartan geometry, CR and complex geometry

Mokhtari-Sharghi, Shahriar (1998) On the spectral decomposition of tree lattices

O'Sullivan, Cormac (1998) Properties of Eisenstein series formed with modular symbols

Wu, Zhiyu (1998) Kähler-Einstein metrics and K-stability

1997 DISSERTATIONS

Carbone, Lisa (1997) Non-uniform lattices on uniform trees

Comech, Andrew (1997) Asymptotic estimates for oscillatory integral operators

Diamantis, Nikolaos (1997) Special values of higher derivatives of L-functions

Hamidi-Tehrani, Hessam (1997) Alogorithms in the surface of mapping class groups

Leung, Man-Cheung (1997) Relative Bessel coefficient over a finite field

Liu, Zhesheng (1997) Oscillatory integrals and singular radon transforms

Mimar, Arman (1997) On the preperiodic points of an endomorphism of P¹ x P¹ which lie on a curve

Ok, Youngbin (1997) Distinction and gamma factors at 1/2 : supercuspidal case

Oliveira, Bruno N. de (1997) Obstructions to lift curves along families of surfaces and Hodge Tehory

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