Recent graduates


Name	Title of dissertation	Adviser	Post-PhD affiliation
Rebekah Palmer	Canonical quaternion algebra of the Whitehead link complement, May 2023	Stover
Rose Kaplan Kelly	Right-angled links in thickened surfaces, May 2023	Futer	George Mason University
Elie Abdo	On the nonlinear interaction of charged particles with fluids, August 2023	Ignatova	UC Santa Barbara
Khanh Le	Left-orderability of Dehn surgeries on knot complements, May 2022	Stover	Rice University, TX
James Rosado	Ultrastructural neuronal modeling of calcium dynamics under transcranial magnetic stimulation, August 2022	Queisser	Department of Defense
Benjamin Dongbin Choi	One-cusped congruence subgroups of SO(d,1;Z), December 2022	Stover
Zhi Li	Principles of calcium wave propagation in neurons: computational study and derivation of empirical laws, December 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 Drinfel’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	LinkedIn
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 PDE 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 and Monge-Ampere type equations, 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

Department of Mathematics

Recent graduates

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Department of Mathematics

Go back to Department of MathematicsMore in Graduate

Go back to Department of Mathematics More in Graduate