Alumni
2020
John Adamski Advisor: Jiang, Y.
Symmetric Rigidity for Circle Endomorphisms with Bounded Geometry and Their Dual Maps
John Basias Advisor: Kolyvagin, V.
On the Divisor Class Group and Special Units of Multiquadratic Real Fields
Tai-Danae Bradley Advisor: Terilla, J.
At the Interface of Algebra and Statistics
Kaare Gjaldbaek Advisor: Nathanson, M.
Quadratic Packing Polynomials on Sectors of R2
Bin Guan Advisor: Feigon, B.
Averages and Nonvanishing of Central Values of Triple Product L-Functions via the Relative Trace Formula
Laura Lopez Cruz Advisor: Kharlampovich,O.
Model Theory of Groups and Monoids
Jacob Russell Advisor: Behrstock, J.
Convexity and Curvature in Hierarchically Hyperbolic Spaces
Alexander Stas Advisor: Champanerkar, A.
Translation Distance and Fibered 3-Manifolds
Gennady Yassiyevich Advisor: Chinta, G.
Arithmetic of Binary Cubic Forms
Yizhong Zheng Advisor: Santoro, B.
Uniform Lipschitz Continuity of the Isoperimetric Profile of Compact Surfaces Under Normalized Ricci Flow,
2019
Fikreab Admasu Advisor: Chinta, G.
Zeta Functions of Classical Groups and Class Two Nilpotent Groups
Omar Chakhtoun Advisor: Korsygina, E
One- Dimensional Excited Random Walk With Unboundely Many Excitations Per Site
Alice Kwon Advisor: Champanerkar, A.
Geometric Properties of Closed Three Manifolds and Hyperbolic Links
Simon Heller Advisor: Dolich, A.
Modest Automorphisms of Presburger Arithmetic
Santanu Nandi Advisor: Keen, L.
Dynamics of the Family lambda tan z^2
Mengxiao Sun Advisor: Ovchinnikov, A.
On the Complexity of Computing Galois Groups of Differential Equations
Peter Thompson Advisor: Ovchinnikov, A.
A Differential Algebra Approach to Commuting Polynomial Vector Fields and to Parameter Identifiability in ODE Models
An Hoa (Lawrence) Vu Advisor: Klosin, K.
Hermitian Maass lift for General Level
2018
Bora Ferlengez Advisor: Sullivan, D
Rational Homotopy of the Space of Almost Complex Structures on a Manifold
Michael Kumaresan Advisor: Vukadinovic, J.
The Advection-Diffusion Equation and the Enhanced Dissipation Effect for Flows Generated by Hamiltonians
Ivan Levcovitz Advisor: Behrstock, J.
Divergence of CAT(0) Cube Complexes and Coxeter Groups
Jae Min Lee Advisor: Preston,S.
Geometry and Analysis of some Euler-Arnold Equations
Tianyi Mao Advisor: Chinta,G.
The Distribution of Totally Positive Integers in Totally Real Number Fields
Zachery McGuirk Advisor: Nathanson, M.
On Some Geometry of Graphs
Todd Stambaugh Advisor: Parikh, R.
Coincidence of Bargaining Solutions and Rationalizability in Epistemic Games
Edger Sterjo Advisor: Lucia, M.
Infinitely Many Solutions to Asymmetric, Polyharmonic Dirichlet Problems
Kameryn Williams Advisor: Hamkins, J.
The Structure of Models of Second-order Set Theories
2017
Athar Abdul-Quader Advisor: Kossak, R.
Interstructure Lattices and Types of Peano Arithmetic
George Basilio Advisor: Sormani, C.
Manifold Convergence: Sewing Sequences of Riemannian Manifolds with Positive or Nonnegative Scalar Curvature
Nishan Chatterjee Advisor: Jiang, Y. & Mitra, S.
Some Metric Properties of the Teichmüller Space of a Closed Set in the Riemann Sphere
Chaya Flint Advisor:Champanerkar, A.
Intercusp Geodesics and Cusp Shapes of Fully Augmented Links
Joseph Gunther Advisor: Szpiro, L.
Counting Rational Points, Integral Points, Fields, and Hypersurfaces
Richard Gustavson Advisor: Ovchinnikov, A.
Elimination for Systems of Algebraic Differential Equations
Miha Habic Advisor: Hamkins, J.
Joint Laver Diamonds and Grounded Forcing Axioms
Seungwon Kim Advisor: Kofman, I.
Turaev Surfaces and Toroidally Alternating Knots
Aradhana Kumari Advisor: Sullivan, D.
A Partial Nonlinear Extension of Lax-Richtmyer Approximation Theory
Karl Levy Advisor: O'Bryant, K.
Some Results in Combinatorial Number Theory
Kaethe Minden Advisor: Fuchs, G.
On Subcomplete Forcing
Ryan Ronan Advisor: Gamburd, A.
Asymptotic Counting Formulas for Markoff-Hurwitz Tuples
David Seff Advisor: O'Bryant, K.
Diophantine Approximation and The Atypical Numbers of Nathanson and O'Bryant
Gabriel Zapata Advisor: Shpilrain, V.
Rewriting Methods in Groups with Applications to Cryptography
Liang Zhao Advisor: Pan, V.
Fast Algorithms on Random Matrices and Structured Matrices
2016
Jorge Florez Advisor: Kolyvagin, V.
Explicit Reciprocity Laws for Higher Local Fields
Cihan Karabulut Advisor: Chinta, G.
On Sums of Binary Hermitian Forms
Won Geum Kim Advisor: Chinta, G.
On the Free and G-Saturated Weight Monoids of Smooth Affine Spherical Varieties for G = SL(n)
Joseph Kramer-Miller Advisor: Klosin, K.
P-adic L-Functions and the Geometry of Hida Families
Cheyne Miller Advisor: Tradler, T.
On the Derivative of 2-Holonomy for a Non-Abelian Gerbe
Byung Do Park Advisor: Zeinalian, M.
A Geometric Model of Twisted Differential K-Theory
Joseph Quinn Advisor: Champanerkar, A.
Quaternion Algebras and Hyperbolic 3-Manifolds
Bianca Sosnovski Advisor: Shpilrain, V.
Cayley Graphs of Semigroups and Applications to Hashing
Nicolas Spizzirri Advisor: Schaefer, T.
A Method for Averaging Out the Faster Scale Phenomena in Advection-Diffusion Equations
Elizabeth Vidaurre Advisor: Bendersky, M.
Cohomology of Certain Polyhedral Product Spaces
Tian An Wong Advisor: Moreno, C.
Explicit Formulae and Trace Formulae
Heng Yang Advisor: Hadjiliadis, O.
Stochastic Processes and Their Applications to Change Point Detection Problems
2015
Chris Arettines Advisor: Basmajian, A.
On the Relationships between Intersection Angles of Geodesics and Hyperbolic Metrics on Surfaces
David Blair Advisor: Nathanson, M.
Simultaneous Sum-Product Estimates
Lisa Bromberg Advisor: Shpilrain, V.
Some Applications of Noncommutative Groups and Semigroups to Information Security
Erin Carmody Advisor: Hamkins, J.
Force to Change Large Cardinal Strength
Bren Cavallo Advisor: Kahrobaei, D.
Algorithmic Properties of Poly-Z Groups and Secret Sharing Using Non-Commutative Groups
Aron Fischer Advisor: Bendersky, M.
Massey Products in String Topology
Maxime Fortier Bourque Advisor: Kahn, J.
The Holomorphic Couch Theorem
Ivan Retamoso Advisor: Pan, V.
On Polynomial Roots Approximation via Dominant Eigenspaces and Isolation of Real Roots
Manuel Rivera Advisor: Sullivan, D.
On String Topology Operations and Algebraic Structures on Hochschild Complexes
Sandra Sze Advisor: Kolyvagin, V.
Explicit Solutions of Imaginary Quadratic Norm Equations
Alexander Taam Advisor: Kharlampovich, O.
Equations over Hyperbolic Groups
Lloyd West Advisor: Szpiro, L.
Moduli Spaces in Arithmetic Dynamics
Jesse Wolf Advisor: Pan, V.
New Results on Randomized Matrix Computations
Hengyu Zhou Advisor: Huang, Z. & Jiang, Y.
Some Bernstein Type Results of Graphical Self-Shrinkers with High Codimension in Euclidean Space
2014
Carlos Arreche Aguayo Advisor: Ovchinnikov, A.
An algorithmic approach to the differential Galois theory of second-order linear differential equations with differential parameters
Yunchun Hu Advisor: Jiang, Y.
Maringales for Uniformly Quasisymmetric Circle Endomorphisms
Ran Ji Advisor: Dodziuk, J.
The Asymptotic Dirichlet Problems on Manifolds with Unbounded Negative Curvature
Ha Thanh Lam Advisor: Kahrobaei, D.
Exploring Platform (semi)groups for Non-commutative Key-Exchange Protocols
Christopher J Larson Advisor: Malkevitch, J.
Some Combinatorial Properties of Polyiamonds
Nikita Miasnikov Advisor: Szpiro, L.
Asymptotics Invariants and Flatness of Local Endomorphisms
Satyanand Singh Advisor: Nathanson, M.
Special Representations, Nathanson's Lambda Sequences and Explicit Bounds
Andrew Stout Advisor: Schoutens, H.
Motivic Integration over Nilpotent Structures
Timothy Susse Advisor: Behrstock, J.
Stable Commutator Length in Amalgamated Free Products
Peter Terlecky Advisor: Bar-Noy, A. & Malkevitch, J.
Lean, Green, and Lifetime Maximizing Mobile Sensor Deployment on a Barrier
2013
Evangelia Antonakos Advisor: Artemov, S.
Forms of Explicit Common Knowledge
Anbo Chen Advisor: Jordan, B.
Involutions in Arithmetic Geometry
Tao Chen Advisor: Jiang, Y.
Geometric Characterization and Dynamics Entire Functions
Subir Dhamoon Advisor: Rosen, J.
The Differentiability of Renormalized Triple Intersection Local Times
Viveka Erlandsson Advisor: Basmajian, A.
Margulis Region in Hyperbolic 4-Space
Ozgur Evren Advisor: Basmajian, A.
The Length Spectrum Metric on the Teichmuller Space of a Flute Surface
Joseph Hirsh Advisor: Terilla, J.
Derived Noncommutative Deformation Theory
Francisco Jiménez López Advisor: Hu, J.
Length Spectrum Metric an Modified Length Spectrum Metric on Teichmüller Spaces
Sayad Lakzian Advisor: Sormani, C.
Smooth Convergence Away from Singular Sets and Intrinsic Flat Continuity of Ricci Flow
Whanki Lee Advisor: Kossak, R.
Models Generated by Indiscernibles
Norman Perlmutter Advisor: Hamkins, J.
Inverse Limits of Models of Set Theory and the Large Cardinal Hierarchy Near a High-Jump Cardinal
Brian Stout Advisor: Szpiro, L.
Dynamical Shafarevich Results for Rational Maps
Robert Suzzi Valli Advisor: Basmajian, A.
Non-Simple Closed Geodesics on 2-Orbifolds
Louis Thrall Advisor: Bendersky, M.
Trees, Prisms, and a Quillen Model Structure on Prismatics Sets
2012
Benjamin Baumer Advisor: A. Bar-Noy
Strip Sensor Cover: Maximizing Network Lifetime on an Interval
Michael Beck Advisor: Jiang, Y. & S. Mitra
Normal Families and Monodromies of Holomorphic Motions
Michael Carlisle Advisor: Rosen, J.
Late Points of Projections of Planar Symmetric Random Walks on the Lattice Torus
Yimao Chen Advisor: Karp, L.
Uniqueness Theorem for Some Nonlinear Parabolic Equations
Brent Cody Advisor: Hamkins, J.
Some Results on Large Cardinals and the Continuum Function
Jeanne Funk Advisor: Hoobler, R.
The Witt Ring of a Smooth Curve with Good Reduction Over a Local Field
Maggie Habeeb Advisor: Kahrobaei, D.
Groups, Complexity, Cryptology
Kwang Hyun Kim Advisor: Kolyvagin, V.
On the Rank of 2-primary Part of Selmer Group of Certain Elliptic Curves
Charalambos Koupparis Advisor: Kahrobaei, D.
Non-commutative Cryptography: Diffie-Hellman an CCA Secure Cryptosystems using Matrices over Groups Rings and Digital Signatures
Charles Li Advisor: Schoutens, H.
Dual Graphs and Poincare Series of Valuations
Oleg Muzician Advisor: Hu, J.
Conformally natural Extensions of Continuous Circle Maps
Rebecca Steiner Advisor: Miller, R.
Reducibility, Degree Spectra, and Lowness in Algebraic Structure
2011
Sergei Artamoshin Advisor: Dodziuk, J.
Geometric Interpretation of the Two-Dimensional Poisson Kernel and Its Application
Terrence Blackman Advisor: Velling, J.
On the Arithmetic and Geometry of Quaternion Algebras: A spectral correspondence of Mass Waveforms
Peter Gregory Advisor: Thompson, R
Divisible Groups in the K-theory Completion of SU(n)
Terence Kivran-Swaine Advisor: Moreno, C.
The Admissible Dual of SL(2, Q2)
Michael Laufer Advisor: Orland, P.
The Geometry of Lattice-Gauge-Orbit Space
Zeljka Ljujic Advisor: Nathanson, M.
Problems in Additive Number Theory
Micah Miller Advisor: Zeinalian, M.
Algebraic Models for the Free Loop Space and Differential Forms of a Manifold
Dustin Mulcahey Advisor: Thompson, R
An Unstable Variant of Morava's Change of Rings Theorem for K(n) Theory
Jason Schanker Advisor: Hamkins, J.
Weakly Measurable Cardinals and Partial Near Supercompactness
Zhe Wang Advisor: Jiang, Y.
Holomorphic Motions and Extremal Annuli
Phillip Williams Advisor: Szpiro, L.
The Minimal Resultant and the Conducter for Self Maps on the Projective Line
2010
Yelena Baishanski Advisor: Szpiro, L.
The Geometry of Gauss Composition Law
Anupam Bhatnagar Advisor: Szpiro, L.
Paramerization of Points of Canonical Height Zero on Projective Varieties
Gabriel Drummond-Cole Advisor: Terilla, J.
Homotopy Batalin Vilkovisky Algebras, Tivialiizing Circle Actions, and Moduli Space
Chris McCarthay Advisor: Jiang, Y.
The Hilbert Projective Metric, Multi-Type Branching Processes and Mathematical Biology: A Model of the Evolution of Resistance
Katherine Poirier Advisor: Sullivan, D.
String Topology and a Compactification of the Moduli Space of Riemann Surfaces
Camilo Sanabria Malagon Advisor: Churchill, R.
Geometrical Aspects of Linear Differential Equations Over Compact Riemann Surfaces
Hongzhong Zhang Advisor: Hadjiliadis, O.
Drawdowns, Drawups and Their Applications
2009
Ioannis Farmakis Advisor: Moskowitz, M.
Cohomological Aspects of Complete Reducibility of Representations
Ross Flek Advisor: Keen, L.
On the Dynamics of Quasi-Self-Matings of Generalized Starlike Quadratics and the Structure of the Mated Julia Sets
Shoshana Friedman Advisor: Apter, A.
Aspects of Super Compactness, HOD and Set Theoretical Geology
Daniel Garbin Advisor: Jorgenson, J.
Asymptotics for the Parabolic, Hyperbolic, and Elliptic Eisenstein Series through Hyperbolic and Elliptic Degeneration
Hana Kogan Advisor: Marcus, M.
On Critical Points for Gaussian Vectors with Infinitely Divisible Squares
Jonathan Lovell Advisor: Marcus, M.
Total Variation of Gaussian Processes and Local Times of Associated Levy Processes
Brooke Orosz Advisor: Nathanson, M.
Problems in Additive Number Theory
Michael Tepper Advisor: Szpiro, L.
Endomorphisms of n-Dimensional Projective Space Over Function Fields
2008
Margaret Dean Advisor: Baumslag, G.
Finitely Generated Metabelian and Solvable Groups
Youngju Kim Advisor: Basmajian, A.
Rigidity and Stability for Isometry Groups in Hyperbolic 4-Space
Michael Munn Advisor: Sormani, C.
Volume Growth and the Topology of Manifolds with Nonnegative Ricci Curvature
Marina Nechayeva Advisor: Randol, B.
Asymptotics of Homogeneously-weighted Lattice Point Counts Inside Dilating domains
Abdramane Serme Advisor: Pan, V.
On Iterative Refinement/Improvement of the Solution of an Ill Conditioned Linear System-
Radoslaw Wojciechowski Advisor: Dodziuk, J.
Stochastic Completeness of Graphs
Dong Wook Won Advisor: Miasnikov, A.
Word Problems on Balanced Semigroups and Groups
2007
Marianna Bonanome Advisor: Hillery, M.
Quantum Algorithms in Combinatoric Group Theory
Victoria Gitman Advisor: Hamkins, J.
Applications of the Proper Forcing Axiom to Models of Peano Arithmetic
Thomas Johnstone Advisor: Hamkins, J.
Strongly Unfoldable Cardinals Made Indestructible
Claire Wladis Advisor: Cleary, S.
Metric Properties of Thompson's Groups F(n) and F(n, m)
Shenglan Yuan Advisor: Keen, L.
Dynamics of Certain Families of Transcendental Meromorphic Functions
Svetoslav Zahariev Advisor: Dodziuk, J.
Approximation of Spectra Result for Twisted Laplace Operators
Marcos Zyman Advisor: Roitberg, J.
IA-Automorphisms and Localization of Nilpotent Groups
2006
David Allen Advisor: Bendersky, M.
On the Homotopy of Toric Spaces with Applications to the Homotopy Groups of Certain Manifolds
Timothy Bocchi Advisor:Velling, J.
Follations of Hyperbolic Space Using Radial Graphs of Prescribed Mean Curvature
Anthony Clement Advisor:Baumslag, G.
On the Baumslag-Solitar Groups and Certain Generalized Free Products
Rony Gouraige Advisor:Kulkarni, R.
Z-Classes of Elements in Central Simple Algebras
Peter Landesman Advisor: Churchill, R.
Generalized Differential Galois Theory
Jae Woo Lee Advisor: Nathanson, M.
Infinitely Often Dense Bases and Geometric Structure of Sumsets
Gregory Markowsky Advisor: Rosen, J.
The Derivative of Intersection Local Time of Brownian Motion in R^2
Jonas Reitz Advisor: Hamkins, J.
The Ground Axiom
Erez Shochat Advisor: Kossak, R.
Countable Short Recursively Saturated Models of Arithmetic
Kourosh Tavakoli Advisor: Keen, L.
Conformal Geometry of Plane Domains and Holomorphic Iterated Function Systems
James Ulrich Advisor: Anshel, M.
Ore Revisited: An Algorithmic Investigation of the Simple Commutator Promise Problem
2005
Serigne Diop Advisor: Marcus, M.
Non-Gaussian Models of Financial Markets: Paths Simulation via Series Representation
Toshiaki Jitsukawa Advisor: Miasnikov, A.
Stallings, Foldings, and Subgroups of Free Groups
Mahdi Majidi-Zolbanin Advisor: Szpiro, L.
Splitting of Vector Bundles on Punctured Spectrum of Regular Local Rings
Jorge Pineiro Advisor: Szpiro, L.
Mahler Formula for Dynamical Systems on P^n
Alexander Ushakov Advisor: Miasnikov, A.
Fundamental Search Problems in Group Theory
Marc Zucker Advisor: Anshel, M.
Studies in Crytological Combinatorics
2004
Martin Brock Advisor: Moskowitz, M.
Conjugate Reducibility of Families of Block-Diagonal Matrices Over an Extension Field of a Perfect Field, and Applications to Matrix Subalgebras and Subgroups
Delaram Kahrobaei Advisor: Baumslag, G.
Residual Solvability, Generalized Free Products, Finitely Generated Nilpotent Groups, Free Groups, and One-relator Groups
Jose La Luz Advisor: Bendersky, M.
The Bousfield-Kan Spectral Sequence for Morava K-Theory
George Leibman Advisor: Hamkins, J.
Consistency Strengths of Modified Maximality Principles
Stephen Majewicz Advisor: Baumslag, G.
Nilpotent Q[x]-powered Groups and Z[x]-groups
Fereydoun Nouri Advisor: Sullivan, D.
Graph Homology
Lucio Prado Advisor: Feldman, E.
P-Potential Theory on Graphs P-Parabolicity and P-Hyperbolicity
Cristina Suzuki Advisor: Feldman, E.
Rough Isometries between Non-Compact Riemannian Manifolds
Aaron Wan Advisor: Moreno, C.
The Local Theory of Root Numbers
2003
Hossein Abbaspour Advisor: Sullivan, D.
On String Topology of 3-Manifold
Elie Feder Advisor: Anshel, M.
Algorithmic Problems in the Braid Group
Avraham Goldstein Advisor: Bendersky, M.
The Homology and the Cohomology Theories of the Connected Algebras
Ariel Halpert Advisor: Pach, J.
Thresholds in Random Graphs
Bilal Khan Advisor: Miasnikov, A.
The Structure of Automorphic Conjugacy in the Free Group of Rank Two
Alexei Kvaschuk Advisor: Miasnikov, A.
One-Variable Equations in Torsion -Free Hyperbolic Groups
Denis Serbin Advisor: Miasnikov, A.
Infinite Words and Length Functions
Xinmao Wang Advisor: Pan, V.
Inversion of Displacement Operators and Structural Matrices
2002
Reza Chamanara Advisor: Keen, L.
Automorphism of Flat Structures on Surfaces of Infinite Type
Florian Lengyel Advisor: Heller, A.
Recursion Categories of Coalgebras
Thomas Tradler Advisor: Sullivan, D.
Two BV-Structures Identified: The Hochschild Cohomology and the Homology of the Free Loop Space
Gaofei Zhang Advisor: Jiang, Y.
Topological Models of Polynomials of Simple Siegel Disk Type
2001
Nikolaos Apostolakis Advisor: Sullivan, D.
On Moves Between Branched Coverings of 3-Manifolds
Igor Balsim Advisor: Sacksteder, R.
Power Radiation by a Scattered Plane Wave
Hulya Cebecioglu Advisor: Pan, V.
Newton's Iteration for Matrix Computation
Jerry Ianni Advisor: Hoobler, R.
Computing Normalizations Using Newton Polygons
Nam Jong Moh Advisor: Huntley, J.
Analysis of the Spectrum of SL(3,Z)SL(3,R)/SO(3,R)
Michael Salwen Advisor: Anshel, M.
Quantom Computational Attack on Two Diophantine
Dragomir Saric Advisor: Keen, L.
Complex Earthquakes are Holomorphic
Mahmoud Zeinalian Advisor: Sullivan, D.
On Some Local Combinatorial Invariance of Homology Manifolds
2000
Mohammad Abu Tabanjeh Advisor: Pan, V.
Effective Cauchy-Like Computations
Daniella Bak Advisor: Anshel, M.
Properties of Shuffle Groups and their Relation to Cryptography
Abdellatif Bellahnid Advisor: Nathanson, M.
A General Pollard Type Result for Restricted Sums
Zhao Qin Chen Advisor: Pan, V.
On Some Numerical and Algebraic Computations with Matrices and Polynomials
Gordon Crandall Advisor: Dodziuk, J.
Isoperimetry and Lattices on Groups of Heisenberg Type
Ching-Fen Fuh Advisor: Baumslag, G.
Presentations and Isoperimetric Functions of Finitely Generated Metabelian Groups
Sidney Raffer Advisor: Mate, A.
Some Diophantine Properties of Ordered Polynomial Rings
Youssef Rami Advisor: Pan, V.
Newton's Method for Structured Matrices
Evan Siegel Advisor: Velling, J.
Ruling Euclidean 3-Space
1999
Srinath Baba Advisor: Jordan, B.
Diophantine Properties of Arkin-Lehner Quotients of Shimura Curves
Maria Belianina Advisor: Anshel, M.
Studies in Algorithmic Graph Theory
Aleksandar Bulatovic Advisor: Gardiner, F.
Forgetful Mappings between Teichmueller Spaces
Chokri Cherif Advisor: Sibner, R.
An Application of the Fixed Point Theorem to Image Compression
Shu-Ping Han Advisor: Nathanson, M.
Studies in the Structure of Sumsets
Maria Weiss Advisor: Parikh, R.
Completeness of Certain Bimodal Logics for Subset Spaces
Joel Zablow Advisor: Bendersky, M.
Loops, Waves and an Algebra for Heegaard Splittings
1998
Edward Arroyo Advisor: Anshel, M.
Dawson's Chess, Short on Graphs and Graph Involutions
Irina Gladkova Advisor: Moura, J.
The Zak Transform and New Approach to Waveform Design
Roland Kargl Advisor: Thompson, R
An Unstable Adams Spectral Sequence Based on a Generalized Homology Theory
Ivan Petrovic Advisor: Gardiner, F.
A Teichmuller Model for Period Doubling
Marina Saadia-Otero Advisor: Sacksteder, R.
The Composition of Finite Hilbert Transform with the Differentiation Operator
Kaiyan Zhao Advisor: Anshel, M.
The Combinatorics of Chessboards
Ai-Long Zheng Advisor: Pan, V.
Studies in Algorithms for Fast Structured Matrices Computations and Their Applications
1997
Francis Castro Advisor: Moreno, C.
Exponential Sums and L-Functions over Finite Fields
Olen Dias Advisor: Pan, V.
Effective Computations with Dence Structured Matrices and Applications to Polynomial Evaluation and Interpolation
Timothy Gendron Advisor: Sullivan, D.
Fuchsian Germs
Huale Huang Advisor: Moskowitz, M.
On the Structure of the Space of Lattices in a Class of Simply Connected, 2-step Solvable Real Lie Groups and Genus Sets of Certain Spaces
Xiaohan Huang Advisor: Pan, V.
Algorithms for Fast Rectangular Matrix Multiplications and Their Applications
Guiai Peng Advisor: Sullivan, D.
On the Dynamics of Nondegenerate Polynomial Endomorphisms of C2
Gregory Stein Advisor: Vasquez, A.
Factoring Cyclotomic Polynomials over Finite Fields
Patrick Touhey Advisor: Roitberg, J.
A Phantom Dissertation
Anthony Weaver Advisor: Kulkarni, R.
Moduli Spaces of Hyperelliptic Riemann Surface
Katherine Wyatt Advisor: McAloon, K.
Decomposition Methods for Disjunctive Linear Programming and Fixed-Income Porfolio Selection
Wei-Chen Yao Advisor: Moreno, C.
The Arithmetic and Geometry of Bianchi Groups
1996
Robert Blackburn Advisor: Marcus, M.
Large Deviations of Local Times of Levy Processes
Ernest Gilde Advisor: Kaplan, S.
On Some Problems Converning Anti-Wick Operators
Shuechin Huang Advisor: Kulkarni, R.
The Geometry & Topology of Finitely Generated Fuchsian Groups
Ilia Kapovitch Advisor: Baumslag, G.
Quasiconvex Subroups of One-Relator Groups with Torsion
Juliette Kennedy Advisor: Mate, A.
On Embedding Models of Arithmetic into Reduced Powers
Marvin Shumowitz Advisor: Anshel, M.
Algorithms in the Theory of One Relator Groups
Meiyu Su Advisor: Sullivan, D.
Measured Solenoidal Riemann Surfaces and Holomorphic Dynamics
Lei Yang Advisor: Jordan, B.
Noson Yanofsky Advisor: Heller, A.
Obstructions to Coherence: Natural Noncoherent Associativity and Tensor Functors
1995
Paolo Barbano Advisor: Moskowitz, M.
Automorphism and Quasi-Conformal Mappings of Heisenberg-type Groups
Yungyen Chiang Advisor: Keen, L.
Pleating Varieties in the Maskit Embeddings of Teichmuller Spaces of Punctured Spheres
Andre De Carvalho Advisor: Sullivan, D.
Pruning Fronts and the Formation of Horseshoes
Richard Goldstone Advisor: Heller, A.
Geometric Realization of Homotopy Systems
Martin Helm Advisor: Nathanson, M.
On Sidon Sets and Related Topics in Additive Number Theory
Jun Hu Advisor: Sullivan, D.
Renormalization, Rigidity and Universality in Bifurcation Theory
Nikola Lakic Advisor: Gardiner, F.
Automorphisms of Teichmuller Spaces of Infinite Topological Type
Jeffrey Litwin Advisor: Auslander, L.
Fourier Transform Approximation and Riemann Sum Approximation for Functions that Decay in Time and Frequency
Mirco Mannucci Advisor: Heller, A.
Categorical Semantics of Modal Doctrines
Elizabeth Schneider Advisor: Baumslag, G.
Invariants of 1-Relator Groups and Residual Properties of Amalgamated Products
Kevin Shen Advisor: Marcus, M.
Some Bounds for the Expected Number of Level Crossing of Certain Hamonizable Infinitely Divisible Processes
Arthur Sowa Advisor: Dodziuk, J.
Geometric Unification of Schrodinger and Yang - Mills Equations and Riemannian Spectra of Vector Bundles
Dimitri Vulis Advisor: Anshel, M.
Crypto System Based on Collection Process
1994
Debe Bednarchak Advisor: Feldman, E.
Heat Diffusion on Graphs
Salvador Liriano Advisor: Baumslag, G.
The Variety of Representation of Certain Classes of Groups
Ronald Skurnick Advisor: Malkevitch, J.
Integer Sequences Associated with Trees
Maryam Vulis Advisor: Anshel, M.
Computational Study of the Factor Groups of the Lower Central Series of a Certain Free Product
1993
Fangjun Arroyo Advisor: Heller, A.
Category Coherence for Symmetric Monodial Categories
William Baker Advisor: Bendersky, M.
Geometry Behind the Unstable Adams Spectral Squence
Alessandra Carbone Advisor: Parikh, R.
On Logical Flow Graphs
Adam Epstein Advisor: Sullivan, D.
Powers of Finite Type Complex Analytic Maps
Konstantinos Georgatos Advisor: Parikh, R.
Modal Logics for Topological Spaces
Frank Geshwind Advisor: Auslander, L.
The Weil Transform and Ambiguity Functions
Susan Hom Advisor: Malkevitch, J.
Properties of Plane 3-Connected Polytopal Graphs
Randi Lerohl Advisor: Sacksteder, R.
On the Poincare-Bertrand Transformation Formula
Dasarat Misir Advisor: Heller, A.
Some Observations on Proper Homotopy
Austin Reller Advisor: Sacksteder, R.
The Helmholtz Equation on Periodic Domains in the Plane
1992
Edson Defaria Advisor: Sullivan, D.
Proof of Universality for Critical Circle Mapping
Harold Finz Advisor: Anshel, M.
Studies in Computational Group Theory
Dal Jeong Advisor: Malkevitch, J.
Polytopal Graphs and Arrangements of Curves
Jeffrey McGowan Advisor: Dodziuk, J.
The p-Spectrum of the Laplacian on Compact Hyperbolic Three Manifolds
Waldemar Paluba Advisor: Sullivan, D.
On Conjugacies of Infinitely Renormalizable Maps
1991
Miguel Arcones Advisor: Gine, E.
On the Asymtotic Theory of the Bootstrap
George Danas Advisor: Heller, A.
Group Extensions and Cohomology Theory in Cartesian Closed Categories
Wei-Hua Jiang Advisor: Keen, L.
On the Dynamics of λTan Z
Georgios Mantzivis Advisor: Mate, A.
Circuit in Bounded Arithmetic
Sudhakara Mishra Advisor: Cohn, H.
Rays of Small Integer Solution of Homogeneous Ternary Quadratic Equations
Fotios Paliogiannis Advisor: Kaplan, S.
Spectral Theory Using Operator Algebra Techniques
Sharon Persinger Advisor: Baumslag, G.
Groups with One Defining Relation
Despina Polemis Advisor: Moreno, C.
The Brill-Noether Theorem with Application to A.G. Goppa Codes and Exponential Sums
Yeh Jonathan Tien Advisor: Anshel, M.
Neural Petri Nets and Their Applications to Combinatorial Games
1990
Terry Fung Advisor: Cohn, H.
Fundamental Domains of Modular Subgroups Using Isometric Circles
Frank Isaacs Advisor: Kaplan, S.
Comparing the Deficienty Indices of t*t and tt*, Where t is an Ordinary Differential Operator with Smooth Coefficients
Xing-De Jia Advisor: Nathanson, M.
Some Results in Additive Number Theory
Yunping Jiang Advisor: Sullivan, D.
Generalized Ulam-von Newmann Transformations
Saoping Loo Advisor: Burr, S.
Multicolor Ramsey Numbers for Disjoint Unions of Graphs
Zhi-Min Yan Advisor: Koranyi, A.
Some Classes of Generalized Hypergeometric Functions in Several Variables
1989
Michael Cook Advisor: Auslander, L.
Crystallographic Space Groups and Algorithms
Ming Wang Advisor: Kulkarni, R.
Ad-c.r. Geometries in Dimension ≤ 4
1988
Dona Boccio Advisor: Sacksteder, R.
On the Finite Hilbert Transform
Myoung Hee Shenefelt Advisor: Auslander, L.
Group Invariant Finite Fourier Transforms
1987
James Searl Advisor: Heller, A.
Rational Homotopy Theory: the General Milpotent Case
Juan Seguel Advisor: Auslander, L.
Sparse Matrix Factorization For Fast Symmetric
Andrea Sorbi Advisor: DiPaola, R.
The Fine Structure of the Medvedev Lattice and the Partial Degree
1986
Myong-Hi Kim Advisor: Shub, M.
Complexity of Newton-Euler Type Algorithms
Walter Miller Advisor: Shub, M.
Differentiating Invariant Manifolds of Dynamical Systems with Applications to Melnikov Theory
1985
Diego Benardette Advisor: Shub, M.
Topological Equivalence of Flows on Homogeneous Spaces, Divergence of Subgroups, and Asymptotic Homotopy Classes
1984
Carol Hurwitz Advisor: Heller, A.
On the Homotopy Theory of Monoids
Richard Jarnagin Advisor: Anshel, M.
Statistical Aspects of Data Structures for Database Systems
Diana Kalish Advisor: Feldman, E.
The Morse Index Theorem with ends Submanifolds
Richard Rywkin Advisor: Sacksteder, R.
Applications of the Stationary Phase to Solution of the Helmholtz Equation in Exterior Domains
Richard Sarkisian Advisor: Hoobler, R.
Weil Numbers and Forms for Varieties Over Finite Fields
Claude Sureson Advisor: Kanamori, A.
Excursion en mesurabilite
Katherine Weld Advisor: Dyer, E.
Computability of Homotopy Groups of Nilpotent Complexes
1983
Katalin Bencsath-Mezei Advisor: Baumslag, G.
Some Generalization of One Relator Groups
Howard Pzena Advisor: Cohn, H.
The Explicit Construction of Ring Class Fields with Applications to Quadratic Forms
Bharti Temkin Advisor: Auslander, L.
On a Linear Diophantine Problem of Frobenius for Three Variables
Michael Vulis Advisor: Auslander, L.
New Algorithms for the Multi-Dimensional DFT
Clara Wajngurt Advisor: Cohn, H.
Solutions of Diophantine Equations Over C(t) and Complex Multiplication
1982
Mahmood Haghighi Advisor: Cohn, H.
Relative Integral Basis in Algebraic Number Fields
Peter Joffe Advisor: Malkevitch, J.
Some Properties of 3-Polytopal Graphs
Robert Johnson Advisor: Auslander, L.
Presentations of Solvmanifolds
Martin Lewinter Advisor: Chavel, I.
Flat Points on Continuous Isometric Deformations of Connected Planar Regions
Mark Perlin Advisor: Kaplan, S.
Random Graphs Applied to the Immune Network
1981
Whitney Harris Advisor: Sacksteder, R.
Solution of the Neumann Problem, for the Helmholtz Equation, in the Exterior of a Surface with Corners
Max Hoefer Advisor: Keen, L.
Numerical Solutions of the Korteweg-deVries Equation
Satindra Kush Advisor: Cohn, H.
A Q-Analogue of Macrobert's E-Functions
1980
Daniel Aulicino Advisor: Cohn, H.
Units, Admissible Oriented Parallelopiped, and Bases
Ephraim Feig Advisor: Auslander, L.
Some Results in Algebraic Complexity Theory
Allen Gorin Advisor: Feldman, E.
On the Volume of Tubes
Farley Mawyer Advisor: Cohn, H.
Units in Parameterized p-adatropic Number Fields
Frances Sullivan Advisor: Baumslag, G.
Wreath Products of Lie Algebras
Helena Wisniewski Advisor: Shub, M.
Rate of Approach to Minima and Sinks
1979
Gerald Flynn Advisor: Rauch, H.
Solutions of Prandtl's Boundary Layer Equations Using Linear Programming and Mapping
Jew-Chen Hwang Advisor: Cohn, H.
The Unframified Quadratic Extensions of Pure Cubic Fields
Howard Samowitz Advisor: Hoffman, A.
Towards a Theory of Atoll Decompositions
1978
Fred Buckley Advisor: Hoffman, A.
Ramsey Functions on Graphs
Michael Ecker Advisor: Rauch, H.
Non-Linear Bending Theory--the Ellipsoid
Arnold Fischthal Advisor: Isaac, R.
Some Topics on the Theory of Recurrent Markov Process
Mahendra Jani Advisor: Dyer, E.
Induced Shape Fibrations and Fiber Shape Equivalence
Sharon Petrushka Advisor: Auslander, L.
On the Theory of Distinguished Subspaces of L^2 of Heisenberg Nilmanifolds
Sheldon Rothman Advisor: Moskowitz, M.
The Von Neumann Kernel and Minimally Almost Periodic Groups
Maria Sinay Advisor: Rauch, H.
Non-Linear Bending and Buckling of Shallow Spherical Shells
Lennox Superville Advisor: Hoffman, A.
Various Aspects of Max-Algebra
Marysia Weiss Advisor: Randol, B.
Lattice Point Problems
Deborah Zvi Advisor: Hoffman, A.
"Greedy" Algorithms for Optimization Problems on the Lattice Polyhedron
1977
Leo Chosid Advisor: Isaac, R.
Stationary Stochastic and Discrete Markov Process
Pearl Greenberguer Advisor: Jacquet, H.
Fourier Transforms of Representations of Finite General Linear Groups
Arthur Levenglick Advisor: Young, P.
Characterizations of Social Decision Functions
Allen Scholnick Advisor: Heller, A.
Representability in Categories without Completeness and Applications to Localization
Helen Strassberg Advisor: Jacquet, H.
L-Function and Automorphic Forms: An Application of the Poisson Summation Formula
Michael Thomson Advisor: Baumslag, G.
Subgroups of Finitely Presented Solvable Linear Groups
1976
Margaret Askanas Advisor: Smullyan, R.
On Truth and Probability in Peano Arithmetic
Terence Coffee Advisor: Rauch, H.
The Stability of Plane Couette Flow
Neal Jacobs Advisor: Rauch, H.
Deep Buckling of a Thin Oblate Spheroidal Shell Under Uniform Normal Pressure
Basharat Jamil Advisor: Hoffman, A.
On the Line Graphs of the Complete Multipartite Graphs
Walter Modrys Advisor: Lewittes, J.
Modular Forms for Γo(p)
Umesh Nagarkatte Advisor: Heller, A.
Fourier Series and Hecke Operators on GL(3,R)
Peter Rolland Advisor: Hoffman, A.
On the Uniqueness of the Tetrahedral Association Scheme
William Wolfe Advisor: Randol, B.
The Asymptotic Distribution of Lattice Points in Hyperbolic Space
1975
Michael Gargano Advisor: Hoffman, A.
On the Limit-Points of the Largest Eigenvalues of Certain Symmetric Matrices
Johny Hellmann Advisor: Rauch, H.
The Non-linear Bending of a Clamped Circular Plate under Uniform Normal Pressure
Bruce Horowiz Advisor: Smullyan, R.
Theory of Effectively Non-Arithmetic Sets
Barbu Kestenband Advisor: Young, P.
The Structure of Rank 3 Matroid Designs and Related Designs
Paul Massell Advisor: Cohn, H.
Class Groups of Real Quadratic Number Fields
Andrew Russakoff Advisor: Young, P.
Some Results on the Transportation Polytope and the Dual Transportation Polyhedron
1974
Arlene Hoffman Advisor: Rauch, H.
Non-Linear Large Deflection Bending of a Clamped Square Plate Under Uniform Normal Pressure
Barry Kolb Advisor: Heller, A.
Torsion-layers and Generalized Hermitian Forms
Geraldine Plakun Advisor: Kaplan, S.
Non-Existence of Solution to the Cauchy Problem for First Order Partial Differential Equations
Ronald Simenauer Advisor: Lewittes, J.
A Space of Modular Forms
1973
Steven Althoen Advisor: Dyer, E.
A Seifert-van Kampen Theorem for the Second Homotopy Group
Harvey Braverman Advisor: Auslander, L.
Abelian Groups of Two or Three Dimensional Simply Transitive Affine Motions
Noel Glick Advisor: Kaplan, S.
Eigenfuntion Expansions in LP
Evelyn Roman Advisor: Auslander, L.
Ergodic Properties of Generalized Affinities of Compact Nilmanifolds
Kwan-Yuk Sit Advisor: Moskowitz, M.
On Bounded Elements and Centralizers of Generalized Uniform Subgroups of Locally Compact Groups
1972
Peter Cobb Advisor: Heller, A.
A Cellular Construction of Ω2 ∑2
Carol Jacobowitz Advisor: Auslander, L.
A Characterization of Lattice Nilpotent Groups of Classes Two and Three
Barbara Patterson Advisor: Dyer, E.
One Relator Metabelian Groups
Brian Shay Advisor: Vasquez, A.
Polynomial-Dual Coalgebra Structure in Hoff Algebras
1971
Louis Braun Advisor: Dyer, E.
On the Structure of Fibration
Susan Friedman Advisor: Rivlin, T.
Generalized Transfinite Diameters and Generalized Chebyshev Constants
Sidney Jacobs Advisor: Hoffman, A.
Some Results on Cyclic Group Divisible Designs
Dana-May Latch Advisor: Heller, A.
On Derived Functors of Limit
Helen Paisner Advisor: Mendelson, E.
A System of Extended Set Theory
Stanley Rabinowitz Advisor: Hyman, H.
On Mordell's Equation y2 + k = x3, with k = ± 2n3m
Joseph Rothschild Advisor: Sacksteder, R.
On the Computation of Topological Entropy
Rosamond Tischler Advisor: Sacksteder, R.
Conjugacy Problems for Rk Actions
1970
Fred Halpern Advisor: Smullyan, R.
Deduction in Continuous Logics
Leonard Howes Advisor: Hoffman, A.
On Subdominantly Bounded Graphs
Kenneth Kalmanson Advisor: Supnick, F.
Classes of Combinatorial Extrema in Certain Metric Spaces
Jack Shapiro Advisor: Vasquez, A.
Algebraic Properties of the Representation Ring of Compact Connected Lie Groups
David Weisman Advisor: Kaplan, S.
Nuclear Spaces of Almost Periodic Functions with Application to Singular Integral Operators
1969
Elinor Berger Advisor: Sacksteder, R.
Concerning Fixed-Point Free Orientation Preserving Homeomorphisms of the Euclidean Plane
Michael Doob Advisor: Hoffman, A.
On the Characterization of a Line Graph by the Spectrums of Its Adjacency Matrix
David Ellis Advisor: Balinski, M.
A Uniqueness Theorem in the Cauchy Problem for Linear Parabolic Operators
Mary Fox Advisor: Supnick, F.
On Extrema in Space-Time
Eleanor (Sava) Goldstein Advisor: Sacksteder, R.
Some Extensions of Applications of of Weyl's Identity
Martin Katzen Advisor: Sacksteder, R.
On Weyl's Identity
Shaun O'Connell Advisor: Supnick, F.
A Decomposition Theorem for a Class of 2-complexes
Henry Pogorzelski Advisor: Smullyan, R.
Goldbach Sentences in Abstract Arithmetics ak (A)
Yael Roitberg Advisor: Baumslag, G.
Some Results on Parafree Groups
David Tischler Advisor: Sacksteder, R.
Totally Parallelizable Manifolds
Richard Tolimieri Advisor: Auslander, L.
Theory of Solvmanifolds
1968
Louis Billera Advisor: Balinski, M.
On Cores and Bargaining Sets for n-Person Cooperative Games Without Side Payments
Peter Falley Advisor: Schatten, R.
Ideals of Operators
Charles Masiello Advisor: Schatten, R.
The Average of a Gauge
Stephen Meskin Advisor: Baumslag, G.
The Isomorphism Problem for Some Classes of One-Relator Groups
David Sanders Advisor: Supnick, F.
On Extremal Circuits
1967
Jonathan Brezin Advisor: Auslander, L.
Unitary Representation Theory for Solvable Lie Groups
Jane Di Paola Advisor: Richardson, M.
Contributions to the Theory of Block Designs
Brigid Driscoll Advisor: Baumslag, G.
Algorithmic Solutions of the Conjugacy Problem in Some Generalized Free Products
Allan Gewirtz Advisor: Hoffman, A.
Graphs with Maximal Even Girth
Louis Quintas Advisor: Richardson, M.
Extrema Concerning Asymmetric Graphs
Alice Whittemore Advisor: Baumslag, G.
Frattini Subgroups
1966
Yuh Ching Chen Advisor: Heller, A.
Stacks, Co-Stacks and Axiomatic Homology theory