### Recent FSU Mathematics PhDs

Summer 2015 | |||

Name | Area | Advisor | Thesis Title |

Guifang Zhou | Applied/Computational | Kyle Gallivan/Paul van Dooren | Rank-Constrained Optimization: A Riemannian Manifold Approach |

Dong Sun | Applied/Computational | Xiaoming Wang/Max Gunzberger | High Order Long-Time Accurate Methods for Stokes-Darcy System and Uncertainty Quantification of Contaminant Transport |

Dawna Jones | Financial Math | Alec Kercheval/Paul Beaumont | Asset Pricing Equilibria for Heterogeneous, Limited-Information Agents |

Patrick Fletcher | Biomathematics | Richard Bertram/Joel Tabak-Sznajder | Theoretical, Computational, and Experimental Topics in Anterior Pituitary Cell Signaling |

Wei Yuan | Financial Math | Giray Okten/Kyounghee Kim | Estimating Sensitivities of Exotic Options Using Monte Carlo Methods |

William Adams | Pure Math | Paolo Aluffi | Lagrangian Specialization Via Log Resolution and Schwartz MacPherson Chern Classes |

Daozhi Han | Applied/Computational | Xiaoming Wang | Diffuse Interface Method for Two-Phase Incompressible Flows |

Linlin Xu | Financial Math | Giray Okten | GPU Computing in Financial Engineering |

Spring 2015 | |||

Name | Area | Advisor | Thesis Title |

Russell Waller | Pure Math | Sergio Fenley | Periodic Pieces of Pseudo-Anosov Flows in Graph Manifolds |

Qiuping Xu | Biomathematics | Washington Mio | Keeping Pace with the Times: Quantifying Variation of Newly Emerging Biological Shape Data |

John Emanuello | Pure Math | Craig Nolder | Analysis of Functions of Split-Complex, Multicomplex and Split-Quaternionic Variables and Their Associated Conformal Geometry |

Tugba Karabiyik | Biomathematics | Mike Mesterton-Gibbons | A Game-Theoretic Analysis of Competition Over Indivisible Resources |

Anthony Wills | Financial Math | Brian Ewald/Xiaoming Wang | Analysis of Regularity and Convergence of Discretization Methods for the Stochastic Heat Equation Forced by Space-Time White Noise |

Xin Li | Pure Math | Mika Seppala/Mark Van Hoeij | Myrbergs Numerical Uniformization |

Fall 2014 | |||

Name | Area | Advisor | Thesis Title |

Sevgi Sengul | Biomathematics | Richard Bertram/Tabak-Sznajder | Unveiling Mechanisms for Electrical Activity Patterns in Neurons and Pituitary Cells Using Mathematical Modeling and Analysis |

Summer 2014 | |||

Name | Area | Advisor | Thesis Title |

Ming Zhu | Financial Math | Warren Nichols | Radically Elementary Stochastic Summation with Applications to Finance |

Matthew Donahue | Biomathematics | Nick Cogan | Modeling the Effect of Biofilm |

Vijay Kunwar | Pure Math | Mark van Hoeij | Hypergeometric Solutions of Linear Differential Equations with Rational Function Coeffficients |

Matt Jemison | Applied/Computational | Mark Sussman | An asymptotically preserving method for multiphase flow |

Yingyuen Shen | Biomathematics | Mike Mesterton-Gibbons | Mathematical Models of Dengue Fever and Measures to Control It |

Nguyet Nguyen | Financial Math | Giray Okten | Probabilistic methods in estimation and prediction of financial models |

Ivan Dungan | Pure Math | Ettore Aldrovandi | n-butterflies: modeling weak morphisms of strict n-groups |

Spring 2014 | |||

Name | Area | Advisor | Thesis Title |

Ahmed Derar Islim | Financial Math | David Kopriva | Pricing and Hedging Derivatives with Sharp Profiles using tuned High Resolution Finite Difference Schemes |

Andrew Winters | Applied/Computational | David Kopriva | Discontinuous Galerkin spectral element approximations for the reflection and transmission of waves from moving material interfaces |

Wen Huang | Applied/Computational | Kyle Gallivan/P.A. Absii | Optimization Algorithms on Riemannian Manifolds with Applications. |

Fall 2013 | |||

Name | Area | Advisor | Thesis Title |

Pierre Garreau | Financial Math | Alec Kercheval | Jump Dependence and Default Risk: a new class of structural models of default risk. |

Yanyan He | Applied/Computational | Yousuff Hussaini | Uncertainty quantification and data fusion based on Dempster-Shafer theory. |

Yaning Liu | Applied/Computational | Giray Okten; Yousuff Hussaini | Non-intrusive methods for probabilistic uncertainty quantification and global sensitivity analysis in nonlinear stochastic phenomena. |

Candace Ohm | Pure Math | Mike Mesterton-Gibbons | The Evolution of Deception in Signaling Systems. |

Mark Whidden | Biomathematics | Nick Cogan | Numertical Methods for Multiphase Systems and Applications to Biology |

Yuan Zhang | Financial Math | Alec Kercheval | Modeling high-frequency order book dynamics with support vector machines. |

Summer 2013 | |||

Name | Area | Advisor | Thesis Title |

Ibukun Amusan | Financial Math | Giray Okten; Brian Ewald | Parameter estimation for a stochastic volatility model with coupled additive and multiplicative noise |

Arij Daou | Biomathematics | Richard Bertram | From Songs to Ion Channels and Mathematical Modeling |

Jian Geng | Financial Math | Michael Navon; Bettye Anne Case | Calibration of local volatility models and proper orthogonal decomposition (pod) reduced order modeling for stochastic volatility models |

Yuanting Lu | Biomathematics | Jack Quine | Discrete Frenet frame with application to structural biology and kinematics |

Wanwan Huang | Financial Math | Giray Okten; Brian Ewald | Stochastic Modeling of Financial Derivatives |

Xia Liao | Pure Math | Paolo Aluffi | Chern classes of sheaves of logarithmic vector fields for free divisors |

Dongxu Wang | Pure Math | Wolfgang Heil | 3-manifolds of S^1 - category 3 |

Spring 2013 | |||

Name | Area | Advisor | Thesis Title |

Jonathan Bates | Biomathematics | Washington Mio | Spectral methods for morphometry |

Motoi Namihira | Financial Math | David Kopriva | Probabilistic uncertainty analysis and its applications in option models |

Gregory Toole | Biomathematics | Monica Hurdal | Modeling cortical folding patterns of the brain using a growth domain |

Linda (Crystal) Wells | Pure Math | Eric Klassen | Shape analysis of curves in higher dimensions |

Fall 2012 | |||

Name | Area | Advisor | Thesis Title |

Tingting Fang | Pure Math | Mark van Hoeij | Solving linear differential equations in terms of hypergeometric functions by 2-descent |

Dan Li | Pure Math | Matilde Marcolli; Paolo Aluffi | Periods and motives: applications in mathematical physics |

Daniel Robinson | Pure Math | Eric Klassen | Functional analysis and partial matching in the square root velocity framework |

Jinhua Yan | Financial Math | David Kopriva | Partial differential equation methods to price options in the energy market |

Summer 2012 | |||

Name | Area | Advisor | Thesis Title |

Joseph A Boor | Financial Math | Patricia Born; Bettye Anne Case; Qihe Tang | An analytic approach to estimating the required surplus, benchmark profit, and optimum reinsurance retnetion for an insurance enterprise |

James A Fullwood | Pure Math | Paolo Aluffi | On elliptic fibrations and F-theory compactifications of string vacua |

Randall J Heaton | Pure Math | Amod Agashe; Mark van Hoeij | Algorithms for computing congruences between modular forms |

Wondimu W Teka | Biomathematics | Richard Bertram | Nonlinear dynamics underlying fast bursting in pituitary cells |

Guanghong Wang | Pure Math | Craig Nolder | Dirac operators, multipliers, and Hp spaces of monogenic functions |

Spring 2012 | |||

Name | Area | Advisor | Thesis Title |

Johnathon K Armstrong | Pure Math | Eriko Hironaka; Kathleen Petersen | Principal elements of mixed-sign Coxeter systems |

Yu Fan | Biomathematics | Washington Mio | Learning shape metrics for inferring the nature of allometry and shape classification |

He Huang | Financial Math | Alec Kercheval | Modeling order book dynamics using queues and point processes |

Tianyu Liang | Applied & Computational Math | Xiaoming Wang; Alec Kercheval | Alternative models for stochastic volatility corrections for equity and interest rate derivatives |

Yang Liu | Financial Math | Alec Kercheval | Risk forecasting and portfolio optimization with GARCH, skewed-t distribution, and multiple timescales |

Quan Yuan | Pure Math | Mark van Hoeij | Finding all Bessel-type solutions for linear differential equations with rational function coefficients |

Fall 2011 | |||

Name | Area | Advisor | Thesis Title |

Judson P Stryker | Pure Math | Paolo Aluffi | Chern-Schwartz-MacPherson classes of graph hypersurfaces and Schubert varieties |

Aaron D Valdivia | Pure Math | Eriko Hironaka | Pseudo-Anosov sequences with asymptotically small dilatation |

Margaret A Watts | Biomathematics | Richard Bertram | Slow variable dominance in pancreatic beta-cell models |

Summer 2011 | |||

Name | Area | Advisor | Thesis Title |

Saikat Biswas | Pure Math | Amod Agashe | Constructing non-trivial elements of the Shafarevich-Tate group of an abelian variety |

Yuanying Guan | Financial Math | Alec Kercheval; Paul Beaumont | Asset market dynamics of heterogeneous agents models with learning |

Qin Li | Applied & Computational Math | Gordon Erlebacher(DSC, FSU); Xiaoming Wang | Sparse approximation and its applications |

Spring 2011 | |||

Name | Area | Advisor | Thesis Title |

Cesar Acosta-Minoli | Applied & Computational Math | David Kopriva | Discontinuous Galerkin spectral element approximations on moving meshes for wave scattering from reflective moving boundaries |

Young J Cha | Pure Math | Mark van Hoeij | Closed form solutions of linear difference equations |

Xiao Chen | Applied & Computational Math | I. Michael Navon(DSC, FSU); Mark Sussman | 4-D var data assimilation and POD model reduction methodologies applied to geophysical fluid dynamics models |

Austen C Duffy | Applied & Computational Math | Mark Sussman; Yousuff Hussaini | Massively parallel algorithms for CFD simulation and optimization on heterogeneous many-cove architectures |

Philip Paul Lepoudre | Applied & Computational Math | Christopher K.W. Tam | Computational aeroacoustics cascade model of fan noise |

Jamil W Mortada | Pure Math | Sergio Fenley; Eriko Hironaka | Arim and Dehn twist subgroups of the mapping class group |

Chunhong Qi | Applied & Computational Math | Kyle Gallivan; Pierre-Antoine Absil | Numerical optimization methods on Riemanian manifolds |

Matthew C Willyard | Financial Math | David Kopriva | Adaptive spectral element methods to price American options |

Fall 2010 | |||

Name | Area | Advisor | Thesis Title |

Yaohong Wang | Applied & Computational Math | Mark Sussman | Numerical methods for two-phase jet flow |

Summer 2010 | |||

Name | Area | Advisor | Thesis Title |

Dervis Bayazit | Financial Math | Craig Nolder | Sensitivity analysis of options under Levy processes via Malliavin calculus |

Xinyang Liu | Biomathematics | Washington Mio | Shape spaces, metrics, and their applications to brain anatomy |

Ji Shen | Applied & Computational Math | Gordon Erlebacher(DSC, FSU); Xiaoming Wang | No-reference natural image/video quality assessment of noisy, blurry, or compressed images/videos based on hybrid curvelet, wavelet, and cosine transforms |

Svetlana V Simakhina | Applied & Computational Math | Mark Sussman | Level set and conservative level set methods on dynamic quadrilateral grids |

Ahmet E Tatar | Pure Math | Ettore Aldrovandi | Picard 2-stacks and length 3 complexes of abelian sheaves |

Spring 2010 | |||

Name | Area | Advisor | Thesis Title |

Yong Jung | Biomathematics | Michael Mascagni(CS, FSU); Philip Bowers | A computational study of ion conductance in the KscA K+ channel using a Nerst-Planck model with explicit resident ions |

Giles S Levy | Pure Math | Mark van Hoeij | Solutions of second order recurrence relations |

Fall 2009 | |||

Name | Area | Advisor | Thesis Title |

Juan B Gutierrez | Biomathematics | Monica Hurdal | Mathematical analysis of the use of Trojan sex chromosomes as means of eradication of invasive species |

Edwin N Jimenez | Applied & Computational Math | Yousuff Hussaini | Uncertainty quantification of nonlinear stochastic phenomena |

Deborah Striegel | Biomathematics | Monica Hurdal | Modeling the folding pattern of the cerebral cortex |

Summer 2009 | |||

Name | Area | Advisor | Thesis Title |

Ahmet Goncu | Financial Math | Giray Okten | Monte Carlo and quasi-Monte Carlo methods in pricing financial derivatives |

Fei Hua | Applied & Computational Math | Xiaoming Wang; Max Gunsburger(DSC, FSU) | Modeling, analysis and simulation of the Stokes-Darcy system with Beavers-Joseph interface condition |

Rana Parshad | Financial Math | Xiaoming Wang | Asymptotic behavior of convection in porous media |

Fall 2008 | |||

Name | Area | Advisor | Thesis Title |

Yuri Alex Lebedev | Pure Math | Mika Seppala | Open math library for computing on Riemann surfaces |

Haomin Lin | Applied & Computational Math | Janet Peterson(DSC, FSU); Max Gunzburger(DSC, FSU) | An optimal control problem for a time dependent Ginzburg-Landau model of superconductivity |

Konstantinos Mavroudis | Financial Math | Craig Nolder | Constant proportions portfolio strategies in an evolutionary context under a dividend factor model |

Emmanuel R Salta | Financial Math | Giray Okten | Variance reduction techniques in pricing financial derivatives |

Milena Tzigantcheva | Financial Math | Craig Nolder | Stochastic volatility extensions of the swap market model |

Summer 2008 | |||

Name | Area | Advisor | Thesis Title |

Manan Y Shah | Financial Math | Giray Okten; Yevgeny Goncharov | Randomized quasi-Monte Carlo methods and the computation of endogenous mortgage rates |

Eunjoo Yoo | Financial Math | Craig Nolder | Variance gamma pricing of American futures options |

Spring 2008 | |||

Name | Area | Advisor | Thesis Title |

Hoa V Nguyen | Applied & Computational Math | Max Gunzburger(DSC, FSU) | Centroidal Voronoi Tessellations for mesh generation: from uniform to anisotropic adaptive triangulations |

Andrew P Novocin | Pure Math | Mark van Hoeij | Factoring univariate polynomials over the rationals |

Wuming Zhu | Financial Math | David Kopriva | A spectral element method to price European options |

Fall 2007 | |||

Name | Area | Advisor | Thesis Title |

Wan-Kan Chan | Applied & Computational Math | Max Gunzburger(DSC, FSU) | Analysis and approximation of a two-banded Ginzburg-Landau model of superconductivity |

Juan F Moreno | Financial Math | Alec Kercheval | Impulse control problems under non-constant volatility |

Yuki Saka | Applied & Computational Math | Max Gunzburger(DSC, FSU) | Analysis of two PDE models in fluid mechanics: nonlinear spectral eddy-viscosity model of turbulence and infinite Prandti-number model of mantle convection |

Summer 2007 | |||

Name | Area | Advisor | Thesis Title |

Zheng Chen | Applied & Computational Math | Max Gunzburger(DSC, FSU) | Anova for parameter dependent nonlinear PDEs and numerical methods for the stochastic Stokes equations |

Andrew Culham | Financial Math | Alec Kercheval; Paul Beaumont(Economcis, FSU) | Asset pricing in a Lucas framework with boundary rational, heterogeneous agents |

Lee W Singleton | Biomathematics | Monica Hurdal | Geometric and computational generation, correction, and simplification of cortical surfaces of the human brain |

Spring 2007 | |||

Name | Area | Advisor | Thesis Title |

Christian Laing | Biomathematics | De Witt Sumners | Biomedical applications of shape descriptors |

Jennifer K Mann | Biomathematics | De Witt Sumners;E. Lynn Zechiedrich | DNA knotting: Occurrences, consequences, and resolution |

Natalia Toporikova | Biomathematics | Richard Bertram | Regulation of rhythmic prolaction secretion: combined mathematical and experimental study |

Clayton Webster | Applied & Computational Math | Max Gunzburger(DSC, FSU) | Sparse collocation techniques for the numerical solution of stochastic partial differential equations |

Jianke Zhang | Financial Math | Alec Kercheval | Numerical methods for portfolio risk estimation |

Fall 2006 | |||

Name | Area | Advisor | Thesis Title |

Srisairam Achuthan | Biomathematics | J.R. Quine | Analysis of orientational restraints in solid-state nuclear magnetic resonance with applications to protein structure determination |

Mack L Galloway | Financial Math | Craig Nolder | Option pricing with selfsimilar additive processes |

Dimitre G Tzigantchev | Pure Math | Paolo Aluffi | Predegree polynomials of plane configurations in projective space |

Summer 2006 | |||

Name | Area | Advisor | Thesis Title |

William E Wood | Pure Math | Philip Bowers | Combinatorial type problems for triangulation graphs |

Spring 2006 | |||

Name | Area | Advisor | Thesis Title |

Santha Ram Akella | Applied & Computational Math | I. Michael Navon(DSC, FSU) | Deterministic and stochastic aspects of data assimilation |

Fall 2005 | |||

Name | Area | Advisor | Thesis Title |

Ana M Croicu | Applied & Computational Math | Yousuff Hussaini | Single and multiple-objective stochastic programming with applications to aerodynamics |

Wenbo Hu | Financial Math | Alec Kercheval | Calibration of multivariate generalized hyperbolic distributions using the EM algorithm, with applications in risk management, portfolio optimization, and portfolio credit risk |

Summer 2005 | |||

Name | Area | Advisor | Thesis Title |

Zhenlu Cui | Pure Math | Qi Wang | Rheology and mesoscale morphology of flows of cholesteric and nematic liquid crystal polymers |

Anand Ganesan | Pure Math | Christopher K.W. Tam | TWO PART THESIS: 1. A modified K-undefined control sequence E turbulence model of high speed jets at elevated temperatures 2. Modeling and a computational study of spliced acoustic liners |

Samet Y Kadioglu | Applied & Computational Math | Mark Sussman | All speed mutli-phase flow solvers |

Parthasar Srinivasan | Biomathematics | J.R. Quine | Applications of representation theory and higher-order perturbation theory in NMR |

Spring 2005 | |||

Name | Area | Advisor | Thesis Title |

Jacqueline R Goforth | Pure Math | Sam Huckaba | Description and analysis of a two-variable version of the NTRU crypto system |

Summer 2004 | |||

Name | Area | Advisor | Thesis Title |

Caroline M Boulis | Pure Math | Wolfgang Heil | Finite Abelian group actions on orientable circle bundles over surfaces |

Spring 2004 | |||

Name | Area | Advisor | Thesis Title |

Marc R Lengfield | Pure Math | Dan Oberlin | Envelopes, duality, and multipliers for certain non-locally convex Hardy-Lorentz spaces |

Benoit Montin | Financial Math | Craig Nolder | A stock market agent-based model using evolutionary game theory and quantum mechanical formalism |

Fall 2003 | |||

Name | Area | Advisor | Thesis Title |

Deborah Jones | Pure Math | Paolo Aluffi | Intersection numbers of divisors in graph varieties |

Summer 2003 | |||

Name | Area | Advisor | Thesis Title |

Roger V Vogeler | Pure Math | Philip Bowers | On the geometry of Hurwitz surfaces |

Spring 2003 | |||

Name | Area | Advisor | Thesis Title |

Irma Cruz-White | Biomathematics | De Witt Sumners | Topology of spiral waves in excitable media |

Summer 2002 | |||

Name | Area | Advisor | Thesis Title |

Cristian Homescu | Applied & Computational Math | I. Michael Navon(DSC,FSU) | Optimal control of continuous and discontinouos flow |