Advanced Search
DSpace@MIT

Browsing Theses - Mathematics by Title

Research and Teaching Output of the MIT Community

Browsing Theses - Mathematics by Title

Sort by: Order: Results:

  • Dolgushev, Vasiliy A (Massachusetts Institute of Technology, 2005)
    Proofs of Tsygan's formality conjectures for chains would unlock important algebraic tools which might lead to new generalizations of the Atiyah-Patodi-Singer index theorem and the Riemann-Roch-Hirzebruch theorem. Despite ...
  • Vasy, András (Massachusetts Institute of Technology, 1997)
  • Alekhnovitch, Mikhail, 1978- (Massachusetts Institute of Technology, 2003)
    The thesis considers two fundamental questions in propositional proof complexity: lower bounds on the size of the shortest proof and automatizability of propositional proof systems. With respect to the first part, we develop ...
  • Bottman, Nathaniel Sandsmark (Massachusetts Institute of Technology, 2015)
    In this thesis, I prove several results toward constructing a machine that turns Lagrangian correspondences into A[infinity],-functors between Fukaya categories. The core of this construction is pseudoholomorphic quilts ...
  • Yin, Jingbin (Massachusetts Institute of Technology, 2009)
    The main result of this work is a q-analogue relationship between nilpotent transformations and spanning trees. For example, nilpotent endomorphisms on an n-dimensional vector space over Fq is a q-analogue of rooted spanning ...
  • Ackerman, Nathaniel Leedom (Massachusetts Institute of Technology, 2006)
    In Part A we will study the quantifier rank spectrum of sentences of L!1,!. We will show that there are scattered sentences with models of arbitrarily high but bounded quantifier rank. We will also consider the case of ...
  • Mihov, Diko (Massachusetts Institute of Technology, 1996)
  • Jordan, David Andrew (Massachusetts Institute of Technology, 2011)
    In this thesis, a new class of algebras called quantized multiplicative quiver varieties A (Q), is constructed, depending upon a quiver Q, its dimension vector d, and a certain "moment map" parameter . The algebras Ad(Q) ...
  • Piunikhin, Serguei (Massachusetts Institute of Technology, 1996)
  • Travkin, Roman (Roman Mikhailovich) (Massachusetts Institute of Technology, 2012)
    Let C be a smooth connected projective curve of genus > 1 over an algebraically closed field k of characteristic p > 0, and c [epsilon] k \ Fp. Let BunN be the stack of rank N vector bundles on C and Ldet the line bundle ...
  • Sun, Yi, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2016)
    We present a collection of results on the relationship between intertwining operators for quantum groups and eigenfunctions for quantum integrable systems. First, we study the Etingof-Kirillov Jr. expression of Macdonald ...
  • Abolfathe Beikidezfuli, Salman (Massachusetts Institute of Technology, 2009)
    Quantum complexity theory is important from the point of view of not only theory of computation but also quantum information theory. In particular, quantum multi-prover interactive proof systems are defined based on ...
  • Frankland, Martin (Massachusetts Institute of Technology, 2010)
    We use the obstruction theory of Blanc-Dwyer-Goerss to study the realization space of certain - algebras with 2 non-trivial groups. The main technical tool is a result on the Quillen cohomology of truncated -algebras, which ...
  • Peskin, Barbara R (Massachusetts Institute of Technology, 1980)
  • Wang, Fang, Ph. D. Massachusetts Institute of Technology (Massachusetts Institute of Technology, 2010)
    The radiation field introduced by Friedlander provides a direct approach to the asymptotic expansion of solutions to the wave equation near null infinity. We use this concept to study the asymptotic behavior of solutions ...
  • Saias, Alain Isaac (Massachusetts Institute of Technology, 1995)
  • Moll, Alexander (Alexander Christian Vincent) (Massachusetts Institute of Technology, 2016)
    Stanley's Cauchy identity for Jack symmetric functions defines a Jack measure, a model random partitions for every analytic real function v(w) on the unit circle and parameters E2 < 0 < E1. Jacks are eigenfunctions of the ...
  • Smith, Warren Douglas (Massachusetts Institute of Technology, 1984)
  • Castravet, Ana-Maria, 1975- (Massachusetts Institute of Technology, 2002)
    We find and describe the irreducible components of the space of rational curves on moduli spaces M of rank 2 stable vector bundles with odd determinant on curves C of genus g [greater than or equal to] 2. We prove that the ...
  • Scott, Richard A. (Richard Allan) (Massachusetts Institute of Technology, 1993)
MIT-Mirage