Year 
Name 
Position 
Dissertation Title 
2019  Jeffrey Dunworth  Mesoscale Systems, Finite Size Effects, and Balance Neural Networks  
2019  Jing Liu  Transferable credit default swaps with counterparty risks  
2018  Rongfang Zhang  Global exisitance and regularity for the active liquid crystal system  
2018  Jason Pina  PostDoctoral Visitor, Department of Physics and Astronomy, York University  Evoked patterns of oscillatory activity in meanfield neuronal networks 
2018  Quinn Donahoe  Quantitative Risk Analyst, BNY Mellon  A machine learning approach to the optimal execution problem 
2018 
Xiao Chang 

The reconstruction and realization of topological groups 
2018 
Joseph Fiordilino 
Scientist in Measurement Science and Engineering, Naval Survace Warfare Center Corona Division 
Ensemble timestepping algorithms for natural convection 
2018 
Cezar Lupu 
Postdoctoral Scholar in Mathematics & Statistics, Texas Tech University 
Analytic Aspects of the Riemann Zeta and Multiple Zeta Values 
2018 
Jacob Mirra 
Consultant, Curriculum Development, Dulwich Volleve International/Red Gate 
Holder Continuous Mappings into SubRiemannian Manifolds 
2018 
Ali Pakzad 
Visiting Assistant Professor in Mathematics, University of California at Riverside 
Energy dissipation in turbulence 
2018 
RoxanaIrina Popescu 
Lecturer, Mathematics, University of Pittsburgh 
Fixed points and duality of closed convex sets in Banach spaces 
2018 
Diego Ricciotti 
Postdoc in Mathematics, University of South Florida 
Geometric analysis: regularity theory for subelliptic PDEs and incompatible elasticity 
2018 
Kimberly Romanelli 
Lecturer, Mathematics, University of Colorado at Boulder 
Geometries of Hyperbolic Surfaces with and without Boundary 
2018 
Ilona Ambartsumyan 
Postdoctoral Fellow, ICES, University of Texas at Austin 
Mathematical and numerical modeling of fluidporoelastic media 
2018 
Luca Codenotti 
Algorithm Engineer, AI Production, Afinity Inc. 
Numerical implementations of theoretical results in partial differential equations 
2018 
Ahmet Guzel 
Assistant Professor of Mathematics, Batman University 
Higher order time filters for evolution equations 
2018 
Eldar Khattatov 
Postdoctoral Fellow, ICES, University of Texas at Austin 
Efficient discretization techniques and domain decomposition methods for poroelasticity 
2018 
Youngmin Park 
Postdoctoral Researcher in Otorhinolaryngology, University of Pennsylvania 
Dimension reduction of neural models across multiple spatiotemporal scales 
2017 
Shuai Zhao 
Quantitative Analyst, Model Risk Management, US Bank 
Pricing credit default swaps with counterparty risks 
2017 
Marc Beauchamp 
Math Teacher, Technology Leadership High School 
On Extremal Punctured Spheres 
2017 
Samuel Saiki 
Tutor, Self Employed 
Geometric Structures on Manifolds 
2017 
Duygu Sap 
Postdoc Researcher, International Conputer Science Institute 
Comforming stokes elements yielding divergencefree approximations on quadrilateral meshes 
2017 
Pu Song 
Software Engineer, Samsung Research America 
Coupling StokesDarcy flow with transport on irregular geometries 
2017 
Aliaksandra Yarosh 
Postdoctoral Scholar, Pennsylvania State University 
Computations in twisted Morava Ktheory 
2017 
Jerema Harris 
Postdoctoral Researcher, Emory University 
A spatially extended Wilson Cowan model for coutical circuits: Fram Patterns to wave 
2017 
Jilong Hu 
PNC Bank 
Vortex Sheets in Elastic Fluids 
2017 
Nicholas Hurl 
Instructor, Slippery Rock University 
Analysis of Tiem Filters in Multisteps Methods 
2017 
Sarah Khankan 
Assistant Professor, George Mason University 
Predictability of Average Temperatures using Ensemble Algorithms 
2017 
Soheil Malekzadeh 
Director of Mobile and Tablet Products, YinzCan Inc. 
Unrectifiability of metric xpaces and mapping of bounded length distortion 
2017 
Changqing Wang 
Software Developer, The MathWorks Inc. 
Domain Decomposition Methods for Coupled StokesDacy Flows 
2017 
Scott Zimmerman 
Assistant Research Professor, University of Connecticut 
Sard in Sobolev Space and Curves in the Heisenberg Group 
2016 
David Burstein 
Visiting Assistant Professor, Swarthmore College 
Challenges in Random Graph Models w/ degree Heterogeneity; Existance, Enumeration and Aymptotics of Spectral Radius 
2016 
Jorge Cely 

Applications of motivic integration to the fundamental lemma 
2016 
Torrey Gallagher 
Visitng Assistant Professor, Bucknell University 
Averaging and Fixed Points in Banach Spaces 
2016 
Peng He 
Consultant of Model Development, PNC Bank 
Mathematical Analysis of Credit Default Swaps 
2016 
Yong Li 
Vice President, Goldman Sachs 
Time filters for numerical weather predictions 
2016 
Jeremiah Morgan 
Lecturer, University of Pittsburgh 
Tukey Quotients, Preideals and neighborhood filters with Calibre 
2016 
Irina Navrotskaya 
Adjunct Instructor, Mathematics, Penn State New Kensington 
The inverse problem in classical statistical mechanics 
2016 
Abigail Snyder 
Post Doctorate Research Associate, Joint Global Change Research Inst. 
Computational analysis of pattern generation in reduced vertebrate motor circuit models 
2016 
Shelby Stanhope 
Professor, Air Force Academy 
Parameter Estimation for Dynamical Systems 
2016 
Roxana Tanase 

Parameter estimation for Partial Differential Equations using Stochastic Methods 
2016 
YangYang Wang 
MBI Postdoc Fellow, Lecturer, Ohio state university 
Analysis of complex bursting patterns in multiple timescale respiratory neuron models 
2016 
Matthew Wheeler 
Postdoc Research Associate, University of Arizona 
Rational structurses and Differential Refinements 
2016 
Jiaqing Xu 
Vice President, Bank of Mellon NY 
Modeling defaults in banking & real estate 
2016 
Glenn Young 
Professor, Kennesaw State University 
Pathogen dynamics; modeling and analysis of competition, organization, and vaccination 
2016 
Xiaodan Zhou 
Post Doctoral Scholar, Worcester Polytechnic Inst. 
Analysis and PDE on Metric Measure Spaces: Sobolev functions & viscosity solutions 
2015 
Daniel Grady 
PostDoc, New York University, Abu Dhabi 
Steenrod squares and Massey products in Deligne cohomology 
2015 
Jonathan Holland 
Lecturuer, Rochester Institute of Technology 
Causal Geometries 
2015 
Nan Jiang 
Assistant Professor at Missouri University of Science and Technology 
Fast Calculation of Flow Ensembles 
2015 
Guoqing Liu 
Quant Associate at Wells Fargo Securities 
Singular Limit of an Energy Minimizing Problem 
2015 
Lifeng Liu 
Vice President, Goldman Sachs 
Two Non Linear Lattice Problems in Materials 
2015 
Marina Moraiti 

Coupled GroundwaterSurface Water Flows Effect of Small Physical Parameters and Numerical Methods 
2015 
Pablo Ochoa 
Professor, Universidad de Cuyo 
Geometrical Problems in the Study of Prestrained Materials 
2014 
Ana Mamatelashvili 
Tutor, University of Melbourne 
Tukey Order on Sets of Compact Subjects of Topological Spaces 
2014 
Woden Kusner 
Assistant Professor, Vanderbilt University 
Bounds on Packing Density via Slicing 
2014 
Jeromy Sivek 
Assistant Professor, Temple University 
Differentiability, Summability and Fixed Points in Banach Spaces 
2014 
Aziz Takhirov 
Postdoctoral Associate, University of Alberta 
Numerical Analysis of the Flows in the Pebble Bed Geometries 
2014 
Michaela Kubacki 
Assistant Professor, Middlebury College 
Higherorder, Strongly Stable Methods for Uncoupling Ground Watersurface Water Flow 
2014 
Jared Burns 
Associate Professor of Mathematics, Seton Hill University 
Continuity in Banach Spaces 
2014 
Krzysztof Kapulkin 
Assistant Professor, University of Western Ontario 
Joyals Conjecture in Homotopy Type Theory 
2014 
KenHsien Chuang 
Postdoctoral Fellowship, National Cheng Kung University 
Canonical Connections 
2014 
Mark Tronzo 
Faculty, Geneva College & University of Pittsburgh 
Analysis of a PDE Model for Necrotizing Enterocolitis 
2014 
Attou Miloua 

Steady State Thin Film Equation with Van der Waals Force 
2014 
Xin Xiong 
Manager, Customer Insights and Analytics, Walmart eCommerce 
Numerical Analysis 
2013 
Tracy Stepien 
Professor, University of Florida 
Collective Cell Migration in Single and Dual Cell Layers 
2013 
Hyung Bo Shim 

Indefinite String Structure 
2013 
Cheng Yu 
Bing Instructor, The University of TexasAustin 
Some Analytical Issues for the Selected Complex Fluids Models 
2013 
Hoang Tran 
Research Staff, Oak Ridge National Laboratory 
Partitioned Methods for Coupled Fluid Flow Problems 
2013 
Thomas Everest 
Lecturer, University of Pittsburgh 
Fixed Points of Nonexpansive Maps on Closed, Bounded, COnvex sets in l^{1} 
2013 
Junming Huang 
Vice President, Model Risk Management Enterprise Risk Architecture, Bank of New York Mellon 
Hierarchical Structural Models of Portfolio Credit Risk 
2012 
Daniel Smith 
Senior Software Engineer, Google 
Mathematical Models of Branching Actin Networks: Results and Methods 
2012 
Merve KovanBakan 
Senior Data Scientist at Lyric 
Complexity of Families of Compact sets in R^n 
2012 
Alexey Solovyev 
Postdoctoral Fellow, University of Utah 
Formal Computations and Methods 
2012 
Zhoumin Liu 
Postdoctoral Fellow, University of Jyvaskyla 
Conformal Mappings and Isomtric Immersions Under Second Otder Sobolev Regularity 
2012 
Christopher Jones 
Senior Model Risk Analyst & VP, Regions Financial Corporation 
Optimal Mortgage Prepayment Under the CoxIngersollRoss Model 
2012 
Lucy Spardy 
Postdoctoral Research Fellow, Mathematical Biosciences Institute, Ohio State University 
Investigating the effects of Networks Structure and Afferent Feedback in Models of Rhythmic Movement 
2012 
Veysel Nezir 
Director, MBA Program & Assistant Professor, Point Park University 
Fixed Point Properties for Colike Spaces 
2012 
Bo Shi 
Director, Wells Fargo 
Structural Model for Credit Default in One and Higher Dimensions 
2011 
Ausha Abouzeid 
Post Doctoral Fellow, Engineering Science & Applied Mathematics, McCormick School of Engineering, Northwestern University 
Stochastic Neural Oscillators: Theaory, Simulation and Experiment 
2011 
Huibin Cheng 
Postdoctoral Fellow, McMaster University 
NonConvexity of the Optimal Exercise Boundary for an American put Option on a Dividendpaying Asset 
2011 
Justin Dunmyre 
Assistant Professor, Department of Mathematics, Frostburg State University 
A Study of Bursting in the PreBotsinger Complex 
2011 
Emre Essenturk 
Postdoctoral Research Associate, Department of Chemistry, University of Cambridge 
Generalized Phase Field Models with Microscope Potentials 
2011 
Gregory Francos 
Epic Boost Solutions Analyst at Epic 
Luzing Type Approximation of Functions of Bounded Variation 
2011 
Ross Ingram 
Mathematician, Reactor Technology, Bettis Atomic Power Laboratory 
Approximating Viscous Incompresible Fluid Flow in Complicated Domains 
2011 
Nathaniel Mays 
Server Systems Engineer, Problem Solver, Epic 
Iterated Regularization Methods for Solving Inverse Problems 
2011 
Ryan O'Grady 
Associate Professor, Department Chair, Mathematics, LaRoche College 
Rifing Rak Anlaysis of a Linear IntegrateandRre Neuronal Model 
2011 
Ian Price 
Scientist, UPMC health plan 
Mathematical Modeling of Chemical Signals in Inflammatory Pathways 
2011 
Susmita Sadhu 
Associate Professor of Mathematics, Georgia College & State University 
Existence and Asymtotic Analysis of Solutions of Singularily Perturbed Boundary Valve Problems 
2011 
Mark DeSantis 
Associate Professor, Chapman University, Economic Science Institute 
Dynamics of Asset Price Changes: Statistical and Differential Equations Models 
2011 
Alexander Sviridov 
Senior Data Scientist, Asurion 
Elliptic Equations in Graphs vir Stochastic Games 
2011 
Sergio VerduzcoFlores 
PostDoc position, Okinawa Institute of Science and Technology 
Working Memory and Oscillations: The Implications on Neural Populations 
2010 
Yan Yu 
Principal, Data AnalyticsCredit Review, Capital One 
Traveling Waves of a Nonlocal Conservation Law 
2010 
Lung K Tsui 
Senior quantitative Manager, HSBC 
Multiname Credit Risk Modeling 
2010 
Danail Vassilev 
Senior Scientist, First Light Fusion 
Discretizations and Solvers for Coupling StokesDarcy Flows with Transport 
2010 
Evgeni Trofimov 
Lecturer, University of Pittsburgh 
Shocks Versus Kinks in a Discrete Model of Dispacive Phase Trasition 
2010 
Saishuai Tang 
Strategist Structured Finance, citibank 
Mathematical Modeling of Immune Response and Vocal Fold Inflammation 
2010 
Qiang Sun 
Assistant Professor (tenure track), SUNYBuffalo State 
Analysis of Importance Sampling in Parameter Estimation of a Stochastic Volatility Model 
2010 
Alexander Lozovskiy 
Software Developer, Bryan Research and Engineering 
Numerical Analysis of the Aerodynamical Noise Prediction in Direct Numerical Simulation and Large Eddy Simulation 
2010 
Xianpeng Hu 
Assistant Professor, City University of Hong Kong 
Weak Solutions and Incompressible Limits of Multidimentional Magnetohydrodynamic Flows 
2010 
Ziqin Feng 
Assistant Professor Department of Mathematics and Statistics Auburn University 
Hilbert's 13th Problem 
2010 
Jeffrey Connors 
Assistant Professor University of Connecticut. 
Partitioned Time Discretization for AtmosphereOcean Interaction 
2010 
Onyeka Obi 
Software developer engineer, Expedia, Inc 
Results of Approximation and Measure on Mutational Spaces 
2010 
Benjamin Ganis 
Research Mathematician, Institute for Computational Engineering and Scienes (ICES) 
Multiscale Methods for Stochastic Collocation of the Mixed Finite Elements for the Flow in Prous Media 
2009 
Dan Radelet 
Assistant Professor, Indiana University of Pennsylvania 
Hardytype Sequence Spaces and Cesarvo Frames 
2009 
Alfred Dahma 
Associate Professor of Mathematics Indiana University of Pennsylvania 
Scales of Function and Matrix Spaces 
2009 
Robert Berry 
Technical Staff at Mist Systems 
Lipschitz Estimates for Geodesics in the Heisenberg Group 
2008 
Evandro Manica 
Professor of the Department of Pure and Applied Mathematics of the Institute of Mathematics and Statistics & Member of Alzheimer's Team of the Instituto do Cérebro of the Pontifical Catholic University of Rio Grande do Sul 
Effects of coupling and hetero geneity in the PreBotzinger complex cells using first return maps 
2008 
Chetan Balwe 
Assistant Professor at Indian Institute of Science Education and Research Mohali 
Geometric motivic integration on Artin nstacks 
2008 
Alexander Labovschii 
Associate Professor, Michigan Technical University 
Mathematical architecture for models of fluid flow phenomena 
2008 
Thomas Poerio 
Principal, Univesco, LLC 
Topological algebraic structure in the density topology and on Souslin Lines 
2008 
Angela Reynolds 
Virginia Commonwealth University, Assistant Professor 
Mathematical Models of Acute Inflammation and a Full Lung Model of a Gas Exchange Under Inflammatory Stress 
2008 
Iuliana Stanculescu 
Nova Southeastern University, Assistant Professor 
Turbulence Modeling as an Illposed Problem 
2007 
Qi Mi 
University of Pittsburgh, Dept. of Sports Medicine and Nutrition, Assistant Professor 
Modeling wound healing in necrotizing enterocolitis and diabetic foot ulcer 
2007 
Baris Hancioglu 
Bioinformatics Data Scientist at Pfizer 
Mathematical modeling of virus dynamics in Immunology 
2007 
Jerry Day 
MSBA Candidate, University of Tennessee at Knoxville 
On Banach function spaces and the fixed point property 
2007 
Judy Day 
Associate Professor of Mathematics University of Tennessee at Knoxville 
Mathematical approaches to modeling, understanding and controlling the acute inflammatory response to pathogen and endotoxin 
2007 
Yekaterina Epshteyn 
Assocaite Professor, Department of Mathematics University of Utah 
HP primal discontinuous Galerkin finite element methods for twophase flow in porous media 
2007 
Monika Neda 
University of Nevada, Las Vegas, Associate Professor 
Numerical analysis and phenomenology of homogeneous, isotropic turbulence generated by higher outer models of turbulence 
2007 
Bojana Pejic 
Rates trader, banking book interest rate risk, Director UBS 
On the uniqueness of Polish group topologies 
2007 
Dejun Xie 
Associate professor, Xi'an Jiaotong Liverpool University 
Optimal prepayment strategy of mortgages 
2007 
Fatma Gurel 
Upper School Math Teacher at Athens Academy 
Pattern formation in coupled networks with inhibition and gap junctions 
2007 
Gary Hart 
Instructor, University of Pittsburgh at Greensburg 
A constraintstabilized timestepping approach for piecewise smooth multibody dynamics 
2007 
Gergina Pencheva 
Postdoctoral Associate, University of Texas 
Multiblock modeling of flow in porous media and applications 
2006 
Abebaw Tadesse 
Assistant Professor, Langston University 
Compact Composition Operators on the Hardy and Bergman Spaces 
2006 
Leo Rebholz 
Clemson University, Professor 
Helicity and physical fidelity in turbulence modeling 
2006 
Dana Mihai 
Associate Teaching Professor, CMU 
Mathematical aspects of twistor theory 
2006 
Jyotsna Diwakdar 
Lecturer, Wayne State University, Mathematics 
Nilpotent conjugacy classes of reductive padic lie algebras and defirsibility in Pas's language 
2006 
Ahmet Duran 
Associate Professor, Department of Mathematical Engineering, Istanbul Technical University 
Overreaction behavior and optimization techniques in mathematical finance 
2006 
Carolina Manica 
Federal University of Rio Grande do Sul, Brazil, Assistant Professor 
Numerical methods in turbulence 
2006 
Matthew Jackson 
Staff Biostatistician, Guardant Health 
A sheaf theoretic approach to measure theory 
2005 
Lan Cheng 
Associate Professor SUNY Fredonia 
Analysis and numerical solution of an inverse first passage problem from risk management 
2005 
Jon Drover 
Postdoctoral Associate, New Jersey Institute 
The interplay of intrinsic dynamics and coupling in spatially distributed neuronal networks 
2005 
Jason Morris 
Assistant Professor, SUNY at Brockport 
Nonlinear ordinary and partial differential equations on unbounded domains 
2004 
Kaya Songul 
Assistant Professor, Middle East Technical University 
Numerical analysis of a variational multiscale method for turbulence 
2004 
Vahan Grigoryan 
Postdoctoral Associate, University of Pittsburgh 
Multimodal biometric analysis for monitoring of wellness 
2004 
Andras Domokos 
Professor, Department of Mathematics, California State University at Sacramento. 
On the regularity of Pharmonic functions in the Heisenberg group 
2004 
Adrian Argus Dunca 
Faculty at University Politehnica of Bucharest 
Space averaged NavierStokes equations in the presence of walls 
2004 
Faranak Pahlevani 
Assistant Professor, Penn State University, Abington 
Sensitivity analysis of eddy viscosity models 
2004 
Edward Krisner 
Associate Professor University of Pittsburgh at Greensburg 
Multibumpsolutions of a one dimentional WilsonCowan type model 
2004 
Wesley Cross 
Manager Analytics & Insights at First Insight, Inc 
Principal value volumes of PAdic rational polymedra 
2004 
Huseyin Merdan 
Professor of Applied Mathematics, TOBB University of Economics and Technology, Ankara, Turkey 
Renormalization group methods in applied mathematical problems 
2004 
Colleen ScottPomerantz 
Chatham University 
The kepsilon model 
2004 
Andrew Marsh 
Licensing excutive, DIT Hothouse. 
Topology of function spaces 
2004 
Gregory Wisloski 
Professor, Indiana University of Pennsylvania 
Some characterizations of generalized metric spaces using the diagonal 
2003 
Yixin Guo 
Associate Profesor, Department of Mathematics, Drexel 
Existence and stability of standing pulses in neural networks 
2003 
Rodica Curtu 
Associate Professor of Mathematics University of Iowa 
Waves and oscillations in model neuronal networks 
2003 
Noel Heitmann 
Associate Professor, Millersville University 
Subgrid stabilization of evolutionary diffusive transport problems 
2003 
Nizazi Sahin 
Assistant Professor, 
Derivation, analysis, and testing of new near wall models for large eddy simulation 
2003 
Amela BegovicMuratovic 
Associate Professor University of Sarjevo 
Polynomials that commute with a given polynomial over finite fields 
2002 
Fu Zhang 
Associate Professor, Cheyney Univeristy of Pennsylvania 
Two shooting problems in ordinary differential equations 
2002 
Jocelyn Quaintance 
Visiting Research Assistant Professor, West Virginia University 
Proper m x n arrays: geometric and algebraic methods of classifications 
2002 
Joshua Sasmor 
Associate Professor of Mathematics, Seton Hill University 
Fatou, Julia, and Mandelbrat sets for functions with noninteger exponent 
2002 
Husain AlAttas 
Chairman and Assistant Professor, Department of Mathematics and Statistics, King Fahd University 
Enhancing reliability of porous media flow through sensitity computation 
2002 
Yusaf Bilgin Altundas 
Principal Research Scientist at SchlumbergerDoll Research 
Phase field computations and comparison with experiments 
2002 
Mary Salter 
Associate Professor, Franciscan University 
Degree theory for compact perturbations of Fredholm maps of index zero 
2002 
Atife Cagler 
Associate Professor, University of Wisconsin, Green Bay 
Reliable finite element simulation of boundary driver turbulence 
2002 
Hattan Tawfiq 
Director, Center of excellence in development of nonprofit organizations, King Fahd University of Petroleum & Minerals 
Numerical modeling of reactive infiltration instabilities 
2002 
Ge Han 
Associate Professor Towson University 
American options on several assets 
2002 
Marius Buliga 
Assistant Professor, Depeartment of Mathematics, University of Pittsburgh Bradford 
On the enumeration of colored spanning trees in graph 
2002 
Kimberly Burch 
Associate Professor of Mathematics Indiana University of Pennsylvania 
Matching equivalencies and chemical graph theory 
2001 
Davendria Kapadia 
Kernel Developer, Algorithms and R&D at Wolfram Research 
A class of conformally Einstein spacetimes 
2001 
Tanfer Tanriverdi 
Assistant Professor, Harran University 
Boundaryvalue problems in ODE (the Fanno model for turbulent compressible flow, eigenfunction expansions) 
2001 

Assistant Professor, Indiana University of Pennsylvania 
Critical colorations 
2001 
Luyan Wang 
Software Developer, Silverstone Software 
On permutation polynomials 
2001 
Mohammed Jaradat 
Professor, Department of Mathematics, Statistics and Physics, Qatar University 
On the edgechromatic numbers, the basis number, and the Hamiltonian decomposition of the graph products 
2001 
Congyu Gao 
Software Engineer, Google 
A free boundary problem in the limit of slowdiffusion, fastreaction systems 
2000 
Soundararajan Ezekiel 
Associate Professor, 
Computational fractal methods for image analysis and compression 
2000 
Traian Iliescu 
Associate Professor, Virginia Polytechnic Institute 
Large eddy simulations for turbulent flows 
2000 
Shangbing Ai 
Associate Professor, University of Alabama at Huntsville 
Multipulse orbits for a singularly perturbed nearly integrable systems 