### Recent FSU Mathematics PhDs

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Fall 2023 | Yijia Zhou | Applied and Computational Math | Adrian Barbu and Kyle Gallivan | Scalable Clustering: Large Scale Unsupervised Learning of Gaussian Mixture Models with Outliers |

Summer 2023 | Abdullah Aurko | Applied and Computational Math | Justin Cole and Ziad Musslimani | Instabilities in Nonlinear Schrodinger Equations: Classical and Neural Network Approaches |

Fan Bai | Biomath | Richard Bertram and Bhargav Karamched | Neuronal Development: From Polarization to Axonal Growth | |

Anindya Chanda | Pure Math | Sergio Fenley | Quasigeodesic Behavior of Anosov Flows: A Bridge Between Dynamics and Large Scale Geometry | |

Hui (Alyssa) Duan | Financial Math | Giray Okten | Computational Methods for Estimating Global Sensitivity Indices and Shapley Values | |

Hung Duong | Financial Math | Arash Fahim and Michael Mascagni | Solving High-Dimensional Fully Nonlinear Convex Partial Differential Equations Using Deep Learning | |

Yuxiu Lu | Pure Math | Martin Bauer | The $L^p$-Fisher-Rao metric and information geometry | |

Julia Ream | Applied and Computational Math | Marc Henry de Frahan and Mark Sussman | Large Eddy Simulations to Investigate the Fundamental Flow Physics of Supercritical Carbon Dioxide Turbulent Jets | |

Hui Sun | Financial Math | Feng Bao | Stochastic Optimal Control Through Gradient Projection Method and Backward Action Learning | |

Meng Wei | Applied and Computational Math | Kyle Gallivan and Wen Huang | Solving Clustering Problems Using Riemannian Optimization | |

Zezhong Zhang | Financial Math | Feng Bao | Mathematical Study on the Expressive Power of Machine Learning and Applications in Optimal Filtering Problems | |

Spring 2023 | Austin Anderson | Pure Math | Alexander Reznikov | Asymptotics of Certain Short-Range Interactions on Rectifiable Sets and Beyond |

Shreya Bose | Financial Math | Ibrahim Ekren | Risk aversion in Kyle-Back models | |

Sathyanarayanan Chandramouli | Applied and Computational Math | Ziad Musslimani | Nonlinear wave propagation in non-Hermitian media: theory and computation | |

Angelica Davenport | Biomath | Nicholas Cogan | Mathematical Models of Triple-Negative Breast Cancer and HIV: Methods to Inform Treatment Regimens in Preclinical and Clinical Settings | |

Samuel Dent | Applied and Computational Math | Aseel Farhat | Analytical Study of Feedback Control Data Assimilation Algorithms for Ocean Models | |

Brad Mostowski | Financial Math | Ibrahim Ekren | Stochastic Liquidity in the Kyle-Back Model | |

Virginia Parkman | Biomath | Nicholas Cogan | Optimal Control Applied to a Canine Distemper Outbreak Modeled in an Animal Shelter | |

Edward (Alex) White | Pure Math | Alexander Reznikov | Polarization and Covering on Sets of Low Smoothness: Studying Short Range Repulsive Points by Asymptotic Behavior | |

Fall 2022 | Mehran Fazli | Biomath | Richard Bertram | Modeling and Multi-Time Scale Analysis of Endocrine Cells: From Single Cell Excitability to Network Synchronization |

Summer 2022 | Mehdi (Soheil) Abdi Anbouhi | Pure Math | Washington Mio | Universal Mappings and the Metric Geometry of Functional Data |

Jinglun Cai | Financial Math | Alec Kercheval and Xiuwen Liu | Two Topics in Deep Learning Based Dialogue Systems | |

Spring 2022 | Yiran Chen | Applied & Computational Math | Giray Okten | Simulation and Goodness-of-Fit Tests of Copulas |

Zishi Feng | Financial Math | Brian Ewald and Ziad Musslimani | A dynamic renormalization approach for solving stochastic differential equations | |

Haixu Wang | Applied & Computational Math | Ling Zhu | A Discrete-Time Self- and Mutual-exciting Models | |

Yi Zhou | Pure Math | Mark van Hoeij | Algorithms for Factoring Linear Recurrence Operators | |

Fall 2021 | Hubeyb Gurdogan | Financial Math | Alec Kercheval | Eigenvector Shrinkage for Estimating Covariance Matrices |

Benjamin Prather | Pure Math | Mark van Hoeij | Octonions - Hilbert Spaces, Fibrations and Analysis | |

Summer 2021 | Joshua Kimrey | Biomath | Richard Bertram | Geometric Singular Perturbation Analysis of Early Afterdepolarizations in Cardiac Myocytes: Canard Analysis of Cardiac Action Potential Models |

Tarak Shisode | Applied & Computational Math | Washington Mio and Jinfeng Zhang | Improving the accuracy of 3D chromosome structure inference and analyzing the organization of genome in early embryogenesis using single cell Hi-C data | |

Xiaoyu Wang | Financial Math | Ling Zhu | Langevin Algorithms in Data Science | |

Spring 2021 | Hua Huang | Applied & Computational Math | Adrian Barbu and Kyle Gallivan | Robust machine learning and the application to lane change decision making prediction |

Fall 2020 | Shayea Waqaian Aldossari | Pure Math | Mark van Hoeij | Algorithms for Simplifying Differential Equations |

Peng Diao | Applied & Computational Math | M. Yousuff Hussaini Mark Sussman |
Parareal Algorithm Applied to the Stefan Problem | |

Yeuran Oh | Biomath | Richard Bertram | Islet Synchronization in a Hybrid Experimental and Mathematical System | |

Summer 2020 | Orhan Akal | Applied & Computational Math | Adrian Barbu | Learning Chan-Vese |

John Henry Bergschneider | Pure Math | Wolfgang Heil | 2-Stratifolds with Finite Fundamental Group | |

Patrick Eastham | Biomath | Nick Moore Nick Cogan |
A Novel Model for Precipitation Reactions in Microfluidic Devices | |

Lydia Parker Marie Eldredge | Pure Math | Kathleen Petersen | Minimal Mahler Measure in Cubic Fields | |

Jamie Fox | Financial Math | Giray Okten | Applications of Polynomial Chaos to Monte Carlo Simulation | |

Yangzi Guo | Applied & Computational Math | Adrian Barbu | A Study of Feature Interactions and Pruning on Neural Networks | |

Opal Jane Graham | Pure Math | Philip Bowers | Rigidity of Point and Sphere Configurations | |

Haibin Hang | Pure Math | Washington Mio | A New Formulation of 1-D Persistent Homology Via Correspondence Modules | |

Yang Liu | Applied & Computational Math | Mark Sussman M. Yousuff Hussaini |
A Novel Numerical Method for Resolving Micro-Structure Based on Supermesh for Multi-Material Systems | |

Zhiqiu Li | Applied & Computational Math | Lingjiong Zhu | Option Pricing for An Affine Jump-Diffusion Model | |

Matthew McCurdy | Applied & Computational Math | Nick Moore Xiaoming Wang |
Convection in Coupled Fluid-Porous Media Systems: A Tale of Two Fluids | |

Michael Niemeier | Pure Math | Ettore Aldrovandi | Central Extensions of Simplicial Groups and Presheaves of Simplicial Groups | |

Deniz Ozturk | Biomath | Nick Cogan | Dynamics of Reversible and Irreversible Fouling and Optimal Control Analysis of Backwashing Timing for Hollow Fiber Microfiltration | |

Arun Kumar Polala | Financial Math | Giray Okten | Multilevel Monte Carlo and Debiased Monte Carlo Methods in Financial Engineering | |

Zhe Su | Pure Math | Eric Klassen Martin Bauer |
Elastic Shape Analysis of Curves and Surfaces | |

Kangwei Xing | Financial Math | Arash Fahim | Model-Independent Superhedging with Portfolio Constraints in Continuous Time under Weak S topology | |

Canlin Zhang | Biomath | Xiuwen Liu Richard Bertram |
Natural Language Processing by Deep Neural Networks | |

Spring 2020 | Grayson Jorgenson | Pure Math | Paolo Aluffi | Secant Indices, Duality Defect, and Generalizations of the Segre Zeta Function |

Heting Yan | Financial Math | Alec Kercheval | Deep Learning for Limit Order Book Trading and Mid-Price Movement | |

Thanittha Kowan | Pure Math | Philip Bowers | Conformal Tilings and Expansion Complexes | |

Fall 2019 | Antigoni Georgiadou | Applied & Computational Math | Mark Sussman Tomas Plewa |
Global Optimization in Stellar Evolution Applications |

Feifan Liu | Applied & Computational Math | Mark Sussman | Novel Numerical Analysis Methods, Using the WENO and WENO-Z Algorithms, for Combining Observational Data with Model Predictions for Improving Forecasts | |

Summer 2019 | Johnna Pauline Barnaby | Biomath | Harsh Jain | Mathematical Models of Prostate Cancer Progression and Response to Treatment |

Carolyn Marie Eady | Biomath | Nick Cogan | On the Use of Conformal Mappings, Invariants and Warpings in Investigations of the Cortical Surface | |

Inmaculada Concepcion Sorribes Rodriguez | Biomath | Harsh Jain | Gliomas Diagnosis, Progression and Treatment: A Mathematical Approach | |

Matthew Crawford Villemarette | Applied & Computational Math | Mark Sussman | Second Order Discrete Maximum Preserving Finite Difference and Finite Element Methods for Nonlinear Parabolic Equations | |

Spring 2019 | Manu Aggarwal | Biomath | Nick Cogan | Mathematical Modeling and Sensitivity Analysis for Biological Systems |

Andrey Igorevich Manakov | Financial Math | Jerry Magnan | Construction of a General Trading Approach for Financial Markets with Artificial Neural Networks | |

Mohammad Aamir Rasheed | Pure Math | Wolfgang Heil | Surface Subgroups of 3-Manifold Groups | |

Seyyed Navid Salehy | Financial Math | Alec Kercheval | Random Walks Over Point Processes and their Application in Finance | |

Seyyed Nima Salehy | Financial Math | Giray Okten | Belief Function Theory: Monte Carlo Methods and Applications to Stock Markets | |

Ryan Michael Vinson | Biomath | Richard Bertram | Modelling the Synchronous Behavior of Pancreatic Islets |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Fall 2018 | Zailei Cheng | Applied & Computational Math | Lingjiong Zhu | Diffusion Approximation of a Risk Model |

Summer 2018 | Nihan Acar | Biomath | Nick Cogan | Exploration of the Role of Disinfection Timing, Duration, and Other Control Parameters on Bacterial Populations Using a Mathematical Model |

Gitesh Dawer | Applied & Computational Math | Adrian Barbu | Neural Rule Ensembles: Encoding Feature Interactions into Neural Networks | |

Yaqing You | Applied & Computational Math | Kyle Gallivan | A Riemannian approach for computing geodesics in elastic shape space and its applications | |

Xinru Yuan | Applied & Computational Math | Kyle Gallivan Pierre-Antoine Absil |
Riemannian Optimization Methods for Averaging Symmetric Positive Definite Matrices | |

Spring 2018 | Serdar Cellat | Biomath | Washington Mio Giray Okten |
Metric Learning for Shape Classification: A Fast and Efficient Approach with Monte Carlo Methods |

Atanaska Zapryanova Dobreva | Biomath | Nick Cogan | Using Mathematical Tools to Investigate the Autoimmune Hair Loss Disease Alopecia Areata | |

Sepideh Ebadi | Biomath | Nick Cogan | Evolutionary Dynamics of Bacterial Persistence Under Nutrient/ Antibiotic Actions | |

Daniel Eduardo Galvis | Biomath | Richard Bertram | Distributed Neural Network Models for Birdsong Production | |

Matthew Charles Hancock | Applied & Computational Math | Jerry Magnan | Algorithmic Lung Nodule Analysis in Chest Tomography Images: Lung Nodule Malignancy Likelihood Prediction and A Statistical Extension of the Level Set Image Segmentation Method | |

Hua-Yi Lin | Financial Math | Arash Fahim | Optimal Portfolio Execution Under Time-Varying Liquidity Constraints | |

Yaineli Valdes | Pure Math | Ettore Aldrovandi | The 1-Type of K-Theory for a Waldhausen Category as a Multifunctor | |

Ethan Randy Williams | Pure Math | Richard Oberlin | Affine Dimension of Smooth Curves and Surfaces | |

Xiping Zhang | Pure Math | Paolo Aluffi | Characteristic Classes and Local Invariants on Determinantal Varieties (Temperate) |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Fall 2017 | Jian Li | Biomath | Nick Cogan | Modeling of Biofilms with Implementations |

Wan-Yu Tsai | Financial Math | Arash Fahim | Monte Carlo Scheme For A Singular Control Problem: Investment-Consumption Under Proportional Transaction Costs | |

Sergiusz Jan Wesolowski | Biomath | Richard Bertram Wei Wu |
Developing SRSF Shape Analysis Techniques for Applications in Neuroscience and Genomics | |

Wen Xu | Pure Math | Mark van Hoeij | Third Order $A$-Hypergeometric Functions | |

Melissa Sue Marchand | Applied & Computational Math | Kyle Gallivan Paul Van Dooren |
Low-rank Riemannian Optimization Approach to the Role Extraction Problem | |

Summer 2017 | Chaoxu Pei | Applied & Computational Math | Mark Sussman M. Yousuff Hussaini |
Space-Time Spectral Element Methods in Fluid Dynamics and Materials Science |

Erdal Imamoglu | Pure Math | Mark van Hoeij | Algorithms for Solving Linear Differential Equations with Rational Function Coefficients | |

Chenchen Zhou | Financial Math | Alec Kercheval | On the Multidimensional Default Threshold Model for Credit Risk Model | |

Diana Lissett Flores-Diaz | Biomath | Richard Bertram | An Electrophysiological and Mathematical Modeling Study of Developmental and Sex Effects on Neurons of the Zebra Finch Song System | |

Omid Khanmohamadi | Applied & Computational Math | Mark Sussman | High-Order, Efficient, Numerical Algorithms For Integration In Manifolds Implicitly Defined By Level Sets | |

Yahya Ahmed Almalki | Pure Math | Craig Nolder | Sorvali Dilatation and Spin Divisors on Riemann and Klein Surfaces | |

Jian Wang | Financial Math | Jinfeng Zhang Giray Okten |
Ensemble Methods for Capturing Dynamics of Limit Order Books | |

Yunyi Shen | Pure Math | Matilde Marcolli Paolo Aluffi |
Arithmetic Aspects of Noncommutative Geometry: Motives of Noncommutative Tori and Phase Transitions on $\operatorname{GL}(n)$ and Shimura Varieties Systems | |

Yu-Ying Tzeng | Financial Math | Giray Okten Paul Beaumont |
Quasi-Monte Carlo and Markov Chain Quasi-Monte Carlo Methods in Estimation and Prediction of Time Series Models | |

Leona H. Sparaco | Pure Math | Kathleen Petersen | Character Varieties of Knots and Links with Symmetries |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Spring 2017 | Vehpi Yildirim | Biomath | Richard Bertram | Mathematical Modeling and Analysis of Gene Knockout Compensation in Pancreatic Beta-Cells |

Corey Harris | Pure Math | Paolo Aluffi | Effective Methods in Intersection Theory and Combinatorial Algebraic Geometry | |

Yao Dai | Biomath | Mike Mesterton-Gibbons | Game-Theoretic Models of Animal Behavior Observed in Some Recent Experiments | |

Jian Li | Biomath | Nick Cogan | Mathematical Modeling of Biofilms and Implementations | |

Liang-Hsuan Tai | Applied & Computational Math | Kyle Gallivan Anuj Srivastava |
Trend and Variable-Phase Seasonality Estimation from Functional Data | |

David Mandel | Financial Math | Giray Okten | Random Sobol - Sensitivity Analysis and Model Robustness | |

Mehmet Emin Aktas | Pure Math | Eriko Hironaka | Topology of $N$-gonal Curves | |

Daniel Weingard | Biomath | Richard Bertram | Scroll Waves: And How They Interact with Non-Reactive Knots, Tori, And Spheres | |

Yuanda Chen | Financial Math | Alec Kercheval | Modeling Limit Order Book Dynamics using Hawkes Processes | |

John Max Wyse | Biomath | Mike Mesterton-Gibbons | The Impact of Competition on Temporal Musth Strategies: A Game-Theoretic Approach | |

Joseph Patrick McKenna | Biomath | Richard Bertram | Insulin Secretion Rhythms: Calcium Regulation of Beta-Cell Metabolism and Rescue of Islet Oscillations | |

Fall 2016 | Kouadio David Yao | Financial Math | Victor Patrangenaru Alec Kercheval |
Statistical Analysis on Object Spaces with Applications to 3D Face Analysis and Exchange Rates Data |

Chun-Yuan Chiu | Financial Math | Alec Kercheval | Modeling Credit Risk in the Default Threshold Framework | |

Robert Brantley Billet | Pure Math | Eriko Hironaka | Flow Equivalence Classes of Pseudo-Anosov Surface Homeomorphisms | |

Summer 2016 | Justin Eilertsen | Applied & Computational Math | Jerry Magnan | Local and Global Bifurcations in Finite-Dimensional Center Manifold Equations of Double-Diffusive Convection |

Dane Mayhook | Pure Math | Philip Bowers | Conformal Tilings and Type |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Spring 2016 | Mao Li | Biomath | Washington Mio | Quantifying Phenotypic Variation through Local Persistent Homology and Imaging |

David Allen Ekrut- | Biomath | Nicholas Cogan | Symmetry Solutions of the Multiphase Model with Biological Applications | |

Angela Michelle Jarrett | Biomath | Nick Cogan M. Yousuff Hussaini |
Investigating Persistent Infections Using Mathematical Modeling and Analyses | |

Diego Hernan Diaz Martinez | Biomath | Washington Mio | Multiscale Summaries of Probability Measures with Applications to Plant and Microbiome Data | |

Brendon Kerr Ballenger-Fazzone | Pure Math | Craig A. Nolder | An Analysis of Conjugate Harmonic Components of Monogenic Functions and Lambda Harmonic Functions | |

Justin Thomas Cole | Applied & Computational Math | Ziad Musslimani | Nonlinear Schrodinger-type Systems: Complex Lattices and Non-paraxiality | |

Yuanda Chen | Financial Math | Alec Kercheval | Modeling Limit Order Book Dynamics using Hawkes Processes | |

Fall 2015 | Sarah Kim | Biomath | Monica Hurdal | A Mathematical Model of Cerebral Cortical Folding Development Based on a Biomechanical Hypothesis |

Celestine Woodruff | Applied & Computational Math | Xiaoming Wang | Efficient and Accurate Numerical Schemes for Long Time Statistical Properties of the Infinite Prandtl Number Model for Convection | |

Summer 2015 | Guifang Zhou | Applied & Computational Math | Kyle Gallivan Paul van Dooren |
Rank-Constrained Optimization: A Riemannian Manifold Approach |

Dong Sun | Applied & Computational Math | 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 | Biomath | 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 Math | Xiaoming Wang | Diffuse Interface Method for Two-Phase Incompressible Flows | |

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

Spring 2015 | Russell Waller | Pure Math | Sergio Fenley | Periodic Pieces of Pseudo-Anosov Flows in Graph Manifolds |

Qiuping Xu | Biomath | 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 | Biomath | 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 |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Fall 2014 | Sevgi Sengul | Biomath | Richard Bertram Tabak-Sznajder |
Unveiling Mechanisms for Electrical Activity Patterns in Neurons and Pituitary Cells Using Mathematical Modeling and Analysis |

Summer 2014 | Ming Zhu | Financial Math | Warren Nichols | Radically Elementary Stochastic Summation with Applications to Finance |

MatthewDonahue | Biomath | 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 Math | Mark Sussman | An asymptotically preserving method for multiphase flow | |

Yingyuen Shen | Biomath | 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 | 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 Math | David Kopriva | Discontinuous Galerkin spectral element approximations for the reflection and transmission of waves from moving material interfaces | |

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

Fall 2013 | Pierre Garreau | Financial Math | Alec Kercheval | Jump Dependence and Default Risk: a new class of structural models of default risk |

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

Yaning Liu | Applied & Computational Math | 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 | Biomath | 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 |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Summer 2013 | Ibukun Amusan | Financial Math | Giray Okten Brian Ewald |
Parameter estimation for a stochastic volatility model with coupled additive and multiplicative noise |

Arij Daou | Biomath | 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 | Biomath | 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 | Jonathan Bates | Biomath | Washington Mio | Spectral methods for morphometry |

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

Gregory Toole | Biomath | 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 | 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 | 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 | Biomath | Richard Bertram | Nonlinear dynamics underlying fast bursting in pituitary cells | |

Guanghong Wang | Pure Math | Craig Nolder | Dirac operators, multipliers, and $H^p$ spaces of monogenic functions |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Spring 2012 | Johnathon K. Armstrong | Pure Math | Eriko Hironaka Kathleen Petersen |
Principal elements of mixed-sign Coxeter systems |

Yu Fan | Biomath | 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 | 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 | Biomath | Richard Bertram | Slow variable dominance in pancreatic beta-cell models | |

Summer 2011 | 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 | 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 | Yaohong Wang | Applied & Computational Math | Mark Sussman | Numerical methods for two-phase jet flow |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Summer 2010 | Dervis Bayazit | Financial Math | Craig Nolder | Sensitivity analysis of options under Levy processes via Malliavin calculus |

Xinyang Liu | Biomath | 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 | Yong Jung | Biomath | 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 | Juan B Gutierrez | Biomath | 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 | Biomath | Monica Hurdal | Modeling the folding pattern of the cerebral cortex | |

Summer 2009 | 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 | 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 |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Summer 2008 | 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 | 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 | 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 | 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 (Economics, FSU) |
Asset pricing in a Lucas framework with boundary rational, heterogeneous agents | |

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

Spring 2007 | Christian Laing | Biomath | De Witt Sumners | Biomedical applications of shape descriptors |

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

Natalia Toporikova | Biomath | 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 portfoliorisk estimation | |

Fall 2006 | Srisairam Achuthan | Biomath | 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 |

PhD Semester | Student | Area | PhD Advisor | Thesis Title |
---|---|---|---|---|

Summer 2006 | William E. Wood | Pure Math | Philip Bowers | Combinatorial type problems for triangulation graphs |

Spring 2006 | Santha Ram Akella | Applied & Computational Math | I. Michael Navon (DSC, FSU) | Deterministic and stochastic aspects of data assimilation |

Fall 2005 | 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 | 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 | Biomath | J.R. Quine | Applications of representation theory and higher-order perturbation theory in NMR | |

Spring 2005 | Jacqueline R. Goforth | Pure Math | Sam Huckaba | Description and analysis of a two-variable version of the NTRU crypto system |

Spring 2005 | Marc R. Lengfield | Pure Math | Dan Oberlin | Envelopes, duality, and multipliers for certain non-locally convex Hardy-Lorentz spaces |

Summer 2004 | Caroline M. Boulis | Pure Math | Wolfgang Heil | Finite Abelian group actions on orientable circle bundles over surfaces |

Spring 2004 | 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 | Deborah Jones | Pure Math | Paolo Aluffi | Intersection numbers of divisors in graph varieties |

Summer 2003 | Roger V Vogeler | Pure Math | Philip Bowers | On the geometry of Hurwitz surfaces |

Spring 2003 | Irma Cruz-White | Biomath | De Witt Sumners | Topology of spiral waves in excitable media |

Summer 2002 | Cristian Homescu | Applied & Computational Math | I. Michael Navon (DSC, FSU) | Optimal control of continuous and discontinouos flow |