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Name | Title of dissertation | Adviser | Post-PhD affiliation |
---|---|---|---|

Zhi Li | Principles of calcium wave propagation in neurons: computational study and derivation of empirical laws, August 2021 | Queisser | Odessa College, Texas |

Narek Hovsepyan | Quantification of stability of analytic continuation with applications to electromagnetic theory, August 2021 | Grabovsky | Rutgers University-New Brunswick |

Abhijit Biswas | Structure-optimized and order-preserving methods for advection and time stepping, May 2021 | Seibold | KAUST |

Ramy Yammine | Representations and actions of Hopf algebras, May 2021 | Lorenz | Dexai Robotics |

Chia-Han Chou | Time-inhomogeneous quantum Markov chains, August 2020 | Yang | Axtria - Ingenious Insights |

Najmeh Salehi | Realistic off-ramp coupling conditions for macroscopic highway network models, August 2020 | Seibold | Penn State University |

Joshua Finkelstein | Accurate Langevin integration methods for coarse-grained molecular dynamics with large time steps, August 2020 | Seibold | Los Alamos |

Thomas Ng | Uniform Exponential Growth of Non-Positively Curved Groups, May 2020 | Futer | Technion |

Rabie Ramadan | Non-Equilibrium Dynamics of Second Order Traffic Models, May 2020 | Seibold | Temple University |

Xinli Yu | Multiple Interval Methods for ODEs with an Optimization Constraint, May 2020 | Szyld | Amazon Research |

Yilin Wu | Mathematical models of biofilm in various environments, August 2019 | Klapper | Digipen Institute of Technology |

Luca Pallucchini | Metasurfaces and waveguides in optics, May 2019 | Gutierrez | Consulting Actuary at EY |

Timothy Morris | Some non-abelian covers of knot complements with non-trivial Alexander polynomial, May 2019 | Stover | New York Institute of Technology |

Zachary Cline | Extending actions of Hopf algebras to actions of the Drinfelâ€™d double, May 2019 | Walton | Bucknell |

Farhan Abedin | Harnack inequality for a class of degenerate elliptic equations in non-divergence form, August 2018 | Gutierrez | Michigan State University |

José C. Garay | Asynchronous Optimized Schwarz Methods for Partial Differential Equations in Rectangular Domains, August 2018 | Szyld | Louisiana State University |

Nayeong Kong | Convergence Rates of Spectral Distribution of Random Inner-Product Kernel Matrices, May 2018 | Rider | Lehigh University |

Kathryn Lund | A New Block Krylov Subspace Framework with Applications to Functions of Matrices Acting on Multiple Vectors, May 2018 | Szyld | EPF Lausanne |

William Worden | Veering triangulations: theory and experiment, May 2018 | Futer | Rice University |

Kai Zhao | Quantum random walks on fractals, May 2018 | Yang | |

Elif Altinay-Ozaslan | Deformation quantization over a Z-graded base, August 2017 | Dolgushev | Kastamonu University |

Hussein Awala | Singular integral operators associated with elliptic boundary value problems in non-smooth domains, August 2017 | Mitrea | Wake Forest University |

Michael Ratner | Quantum Walks and Structured Searches on Free Groups and Networks, May 2017 | Yang | |

Adam Jacoby | On Representation Theory of Finite-Dimensional Hopf Algebras, May 2017 | Lorenz | |

Dianbin Bao | Identities between Hecke eigenforms, May 2017 | Stover | University of Notre Dame |

Geoffrey Schneider | Recursively generating formality quasi-isomorphisms with applications to deformation quantization, May 2017 | Dolgushev | |

Eric Stachura | Generalized solutions to some problems in electromagnetism and geometric optics, April 2016 | Gutierrez | Haverford College |

Matt Lagro | A Perron-Frobenius Type of Theorem for Quantum Operations, July 2015 | Yang | Temple University |

Ahmad Sabra | Nonlinear Partial Differential Equations and Optical Surfaces, June 2015 | Gutierrez | University of Warsaw |

Christian Millichap | Mutations and geometric invariants of hyperbolic 3-manifolds, May 2015 | Futer | Linfield College, Oregon |

Scott Ladenheim | Constraint Preconditioning of Saddle Point Problems, April 2015 | Szyld | University of Manchester |

Brian Paljug | Deformation complexes for algebraic operads and their applications, April 2015 | Dolgushev | Education & Outreach Specialist University of Virginia |

Zhou, Dong | High-Order Numerical Methods for Pressure Poisson Equation Reformulations of the Incompressible Navier-Stokes Equations, August 2014 | Seibold | Temple University |

Hamm, Jessica | Multiplicative Invariants of Root Lattices, August 2014 | Lorenz | Winthrop University |

Gidelew, Getnet | Topics in Harmonic Analysis on Combinatorial Graphs, May 2014 | Pesenson | Richard Bland College of William & Mary |

Shank, Stephen | Low-Rank Solution Methods for Large-Scale Linear Matrix Equations, May 2014 | Szyld | MIT |

Fan, Shimao | Data-Fitted Generic Second Order Macroscopic Transportation Traffic Flow Models, August 2013 | Seibold | University of Illinois, Urbana-Champaign |

Daughton, Austin | A Hecke Correspondence for Automorphic Integrals with Infinite Log-Polynomial Periods, May 2012 | Knopp | Temple University |

Hegg, Meredith | Exact relations and links for fiber-reinforced elastic composites, May 2012 | Grabovsky | Harvard University |

Soodhalter, Kirk | Krylov Subspace Methods with Fixed Memory Requirements: Nearly-Hermitian Linear Systems and Subspace Recycling, May 2012 | Szyld | Johannes Kepler Universität Linz, Austria |

Dobbins, Michael | Representations of Polytopes, May 2011 | Rivin | Korea Advanced Institute of Science and Technology |

Hanson-Hart, Zachary | A Cauchy Problem with Singularity Along the Initial Hypersurface, May 2011 | Mendoza | Temple University |

Xiong, Sheng | Stochastic differential equations: some risk and insurance applications, May 2011 | Yang | Edward Waters College |

Osborne, Charles | Some Aspects of the Theory of the Adelic Zeta Function Associated to the Space of Binary Cubic Forms, May 2010 | Datskovsky | Temple University |

Fritzsche, David | Overlapping and nonoverlapping orderings for preconditioning, May 2010 | Szyld | WestLB |

Mawi, Henok | The refractor problem with loss of energy, May 2010 | Gutierrez | Howard University |

Bitew, Worku | Sufficient conditions and higher order regularity for local minimizers in the calculus of variations, May 2008. | Grabovsky | Farmingdale College |

Wang, Linhong | Noetherian Skew Power Series Rings, 2008 | Letzter | Southeastern Louisiana University |

Du, Xiuhong | Additive Schwarz Preconditioned GMRES, Inexact Krylov Subspace Methods, and Applications of Inexact CG, June 2008 | Szyld | Alfred University |

Elhashash, Abed | Characterizations of Matrices Enjoying the Perron-Frobenius Property and Generalizations of $M$-Matrices Which May Not Have Nonnegative Inverses, September 2008 | Szyld | Drexel University |

DeSario, David | Polyhedral Sums and Theta Series, 2007 | Robins | Georgetown College |

Liu, Zhongzhi | Quantum random walks under decoherence, 2007 | Yang | Edward Waters College |

Zhang, Kai | The Limiting Distribution of Decoherent Quantum Random Walks, 2007 | Yang | University of Pennsylvania |

Mengesha, Tadele | Sufficient Conditions for Local Minimizers in Calculus of Variations, 2007 | Grabovsky | Coastal Carolina University |

Gimenez, Jose | Fourier Coefficients of Vector-Valued Modular Forms of Negative Weight and Eichler Cohomology, 2007 | Knopp | Temple University |

Kahssay Abdulkadir, Mussa | Some Limits of Quantum Walks on the Hypercube and Decoherence of Grover's Search Algorithm, 2006 | Yang | Montgomery College |

Adwan, Ziad | On Boundary Values of Solutions in Involutive Structures, August 2006 | Berhanu | University of Texas at Brownsville |

Raji, Wissam | Generalized modular forms representable as Eta products, August 2006 | Knopp | American University of Beirut |

Liu, Chao-Bin | Quantum Random Walks on One and Two Dimensional Lattices, August 2005 | Yang | Bowie State University |

Taylor, Karen | Analytic Continuation of Vector-Valued Eisenstein Series, May 2006 | Knopp | Hunter College |

Wen, Xiangdong | Rigorous Experimental Mathematics Applied to the Goulden-Jackson Method, Construction of Symmetric Chains and the Sprague-Grundy Function, May 2005 | Zeilberger | Wolfram Research |

Mammo, Behailu | A Mean Value Theorem for Discriminants of Algebraic Extensions of an Algebraic Number Field, May 2005 | Datskovsky | Hofstra University |

Van Truyen, Nguyen | On Monge-Ampere Type Equations Arising in Optimal Transportation Problems, May 2005 | Gutierrez | Akron University |

Butler, Melanie | On Some Degenerate Deformations of Commutative Polynomial Algebras, 2004 | Letzter | West Virgina University |

Tesemma, Mohammed Seid | Reflection Groups and Semigroup Algebras in Multiplicative Invariant Theory, August 2004 | Lorenz | Spelman College, Atlanta, GA |

To, Hansun | Homogenization of Dynamic Materials, August 2004 | Grabovsky | Worcester State College, MA |

Sun, Xinyu | Computer-Assisted and Computer-Generated Research in Combinatorial Games and Pattern-Avoidance, April 2004 | Zeilberger | Texas A&M University |

Yayenie, Omer | Hyperbolic convexity of a standard fundamental domain of a subgroup of a Hecke discrete group, July 2003 | Knopp | Murray State University |

Birmajer, Alberto | Polynomial detection of matrix subalgebras, May 2003 | Letzter | Nazareth College |

Pathak, Jawahar | The Cohen-Macaulay property of multiplicative invariants, May 2003 | Lorenz | Lincoln University |

Gurita, Cristian | On some degenerate boundary value problems, August 2002 | Mendoza | D'Youville College |

Russo, Daniel | Hecke-Weil correspondence on conjugate groups, August 2002 | Knopp | Dickinson College |

Renault, Marc | Computing generators for rings of multiplicative invariants, July 2002 | Lorenz | Shippensburg University |

Tournier, Federico | W2,p estimates for a linearized Monge-Ampere equation, July 2002 | Gutierrez | Instituto Argentino de Matematica (IAM), Argentina |

Xu, Jianjun | Studies of some high order finite/spectral element methods for viscous incompressible flow, April 2001 | Liu | Simon Fraser University |

Loveridge, Clark | Measures of planes separating convex bodies in R^3, October 2001 | Grinberg | Community College of Philadelphia |

Lyansky, Yan | Phase transition for the hard-core stochastic ising model, October 2001 | Yang | Lafayette College |

Al-Rasasi, Ibrahim | A Mean Value Theorem for Class Numbers of Quadratic Extensions of Function Fields, August 2001 | Datskovsky | King Fahd University |

Ludwick, Kurt | Congruence restricted modular forms, July 2001 | Knopp | Salisbury University |

Nekoranik, Paul | Line bundles over b-holomorphic complex curves, May 2001 | Mendoza | Bank One |

Hartenstine, David | Regularity of a class of weak solutions to the Monge-Ampere equation, May 2001 | Gutierrez | Western Washington University |

Vogel, Judith | FQMR: A flexible quasi-minimal residual method with inexact preconditioning, April 2000 | Szyld | Virginia Commonwealth University |

Tefera, Akalu | Improved algorithms and implementations in the multi-WZ theory, August 2000 | Zeilberger | Grand Valley State University |

Beck, Matthias | Arithmetic properties of rational polytopes , July 2000 | Robins | San Franscisco State University |

Cheng, Yun | Probability and mathematical finance, July 2000 | Yang | Private sector |

Edlin, Anne | Extensions and applications of the Goulden-Jackson method to self-avoiding walks, July 2000 | Zeilberger | La Salle University |

Wang, Cheng | High order numerical methods for incompressible flow, May 2000 | Liu | U Mass Darmouth |

Johnston, Hans | Efficient computation of viscous incompressible flow, May 1999 | Liu | U Mass Amherst |

Robertson, Aaron | Some results in Ramsey theory, April 1999 | Zeilberger | Colgate University |

Tokoly, Loretta | Frobenius reciprocity and Grothendieck groups of Hopf Galois extensions, April 1999 | Lorenz | Howard Community College |