Summer 2025
- Student: Mohammed Ahmed AbuShoshah
Major: Applied and Computational Mathematics
PhD Advisor: Mark Sussman
Thesis Title: Rectangular Jets with Large Aspect Ratios: Shock Cell Dynamics and Screech Tone Amplitude Modulation - Student: Athar Bsharat
Major: Applied and Computational Mathematics
PhD Advisor: Aseel Farhat
Thesis Title: Impact of Rotation on Global Attractor Dimension for 3D Primitive Equations - Student: Milind Gunjal
Major: Pure Mathematics
PhD Advisor: Ettore Aldrovandi
Thesis Title: Monoidal 2-Categories and K-theory of Waldhausen Categories - Student: Siming Liang
Major: Financial Mathematics
PhD Advisor: Feng Bao
Thesis Title: Tracking and Controlling High-Dimensional Nonlinear Complex Systems using Generative AI and Data-Driven Feedback Control - Student: Meghan Peltier
Major: Biomathematics
PhD Advisor: Kathryn Jones and Nick Cogan
Thesis Title: A Mathematical Model Analysis of Rhizobium-Legume Symbiosis - Student: Wonjin Song
Major: Financial Mathematics
PhD Advisor: Feng Bao
Thesis Title: Enhancing Reinforcement Learning and Neuroevolution in Noisy Environments via Advanced Data Assimilation - Student: Justin Valletta
Major: Applied and Computational Mathematics
PhD Advisor: Martin Bauer
Thesis Title: Breakdown of higher-order Euler-Arnold equations - Student: Matthew Winters
Major: Pure Mathematics
PhD Advisor: Amod Agashe
Thesis Title: Rational Torsion and Reducibility for Abelian Varieties Associated to Newforms
Spring 2025
- Student: Francis Baffour-Awuah Jr
Major: Biomathematics
PhD Advisor: Debbie Streigel and Nick Cogan
Thesis Title: Identifying Distinct Patient Subgroups in Sepsis - Student: Franquiz Caraballo Alba
Major: Pure Mathematics
PhD Advisor: Paolo Aluffi
Thesis Title: Topics in Intersection Theory: Algebraic and Tropical Perspectives - Student: Md Arafatur Rahman
Major: Applied and Computational Mathematics
PhD Advisor: Arash Fahim
Thesis Title: Deep Policy Gradient Methods in Optimal Control Problems - Student: Savvas Sardelis
Major: Applied and Computational Mathematics
PhD Advisor: Ziad Musslimani
Thesis Title: Riemannian Broyden Family of Limited-memory Quasi-Newton Method - Student: Jonathan Schillinger
Major: Pure Mathematics
PhD Advisor: Aleksandr Reznikov
Thesis Title: Asymptotics & Equilibria of Gaussian Kernels: An Expansion of Energy Theory
Fall 2024
- Student: Zhifeng Deng
Major: Applied and Computational Mathematics
PhD Advisor: Kyle Gallivan and Wen Huang
Thesis Title: Smoothly Evolving Geodesics in the Special Orthogonal Group: Definitions, Computations and Applications - Student: Hoang Nguyen
Major: Financial Math
PhD Advisor: Lingjiong Zhu
Thesis Title: Langevin Dynamics and Diffusion Models: Sampling in Machine Learning and Generative AI
Summer 2024
- Student: Nicole Bruce
Major: Biomathematics
PhD Advisor: Richard Bertram
Thesis Title: Modeling Synchronization in Pancreatic Islets and Biomarker Discovery in Sepsis - Student: Yunzheng Lyu
Major: Financial Math
PhD Advisor: Feng Bao
Thesis Title: Convergence analysis of kernel learning FBSDE filter - Student: Shirin Provat
Major: Applied and Computational Math
PhD Advisor: Mark Sussman
Thesis Title: Developing Numerical Methods and Optimal Boundary Conditions for Enhances Electroconvection Under AC Voltage - Student: Susan Rogowski
Major: Biomathematics
PhD Advisor: Nicholas Cogan and Aseel Farhat
Thesis Title: Parameter Estimation Techniques for Nonlinear Biological Models - Student: Ethan Semrad
Major: Biomathematics
PhD Advisor: Thomas Needham
Thesis Title: Metric and Categorical Properties of Hypergraphs with Applications to Ecological Data
Spring 2024
- Student: Cody Estebe
Major: Applied and Computational Math
PhD Advisor: Mark Sussman
Thesis Title: A hybrid particle and coupled moment-of-fluid level set method for multiphase flows - Student: Emmanuel Hartman
Major: Pure Math
PhD Advisor: Martin Bauer and Eric Klassen
Thesis Title: Methods of Shape Analysis: Optimal Transport, Geometric Measure Theory, and Deep Learning - Student: Abdullah Malik
Major: Pure Math
PhD Advisor: Tyler Foster and Mark van Hoeij
Thesis Title: Simplicial Methods in Graph Machine Learning - Student: Jared Miller
Major: Pure Math
PhD Advisor: Sam Ballas
Thesis Title: Conjugating Representations into Lie Subgroups - Student: Braulio Molina Gonzalez
Major: Pure Math
PhD Advisor: Sergio Fenley
Thesis Title: Partially Hyperbolic Systems: Closed Periodic Curves and Closed Orbits - Student: Nicholas Ossi
Major: Applied and Computational Math
PhD Advisor: Ziad Musslimani
Thesis Title: Nonlocal integrable models and constant-intensity waves in non-Hermitian media - Student: Azaryah Wilson
Major: Applied and Computational Math
PhD Advisor: Feng Bao
Thesis Title: Bayesian Smoother Tuning: Data Assimilation in the Geosciences with Super-parameter Optimization - Student: Ruilong Yue
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: The Global Active Subspace Method - Student: Shuguang Zhang
Major: Applied and Computational Math
PhD Advisor: Kyle Gallivan and Wen Huang
Thesis Title: Riemannian Broyden Of Limited-memory Quasi-Newton Methods
Fall 2023
- Student: Yijia Zhou
Major: Applied and Computational Math
PhD Advisor: Adrian Barbu and Kyle Gallivan
Thesis Title: Scalable Clustering: Large Scale Unsupervised Learning of Gaussian Mixture Models with Outliers - Student: Yijia Zhou
Major: Applied and Computational Math
PhD Advisor: Adrian Barbu and Kyle Gallivan
Thesis Title: Scalable Clustering: Large Scale Unsupervised Learning of Gaussian Mixture Models with Outliers
Summer 2023
- Student: Abdullah Aurko
Major: Applied and Computational Math
PhD Advisor: Justin Cole and Ziad Musslimani
Thesis Title: Instabilities in Nonlinear Schrodinger Equations: Classical and Neural Network Approaches - Student: Fan Bai
Major: Biomath
PhD Advisor: Richard Bertram and Bhargav Karamched
Thesis Title: Neuronal Development: From Polarization to Axonal Growth - Student: Anindya Chanda
Major: Pure Math
PhD Advisor: Sergio Fenley
Thesis Title: Quasigeodesic Behavior of Anosov Flows: A Bridge Between Dynamics and Large Scale Geometry - Student: Hui (Alyssa) Duan
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: Computational Methods for Estimating Global Sensitivity Indices and Shapley Values - Student: Hung Duong
Major: Financial Math
PhD Advisor: Arash Fahim and Michael Mascagni
Thesis Title: Solving High-Dimensional Fully Nonlinear Convex Partial Differential Equations Using Deep Learning - Student: Yuxiu Lu
Major: Pure Math
PhD Advisor: Martin Bauer
Thesis Title: The Lp-Fisher-Rao metric and information geometry - Student: Julia Ream
Major: Applied and Computational Math
PhD Advisor: Marc Henry de Frahan and Mark Sussman
Thesis Title: Large Eddy Simulations to Investigate the Fundamental Flow Physics of Supercritical Carbon Dioxide Turbulent Jets - Student: Hui Sun
Major: Financial Math
PhD Advisor: Feng Bao
Thesis Title: Stochastic Optimal Control Through Gradient Projection Method and Backward Action Learning - Student: Meng Wei
Major: Applied and Computational Math
PhD Advisor: Kyle Gallivan and Wen Huang
Thesis Title: Solving Clustering Problems Using Riemannian Optimization - Student: Zezhong Zhang
Major: Financial Math
PhD Advisor: Feng Bao
Thesis Title: Mathematical Study on the Expressive Power of Machine Learning and Applications in Optimal Filtering Problems
Spring 2023
- Student: Austin Anderson
Major: Pure Math
PhD Advisor: Alexander Reznikov
Thesis Title: Asymptotics of Certain Short-Range Interactions on Rectifiable Sets and Beyond - Student: Shreya Bose
Major: Financial Math
PhD Advisor: Ibrahim Ekren
Thesis Title: Risk aversion in Kyle-Back models - Student: Sathyanarayanan Chandramouli
Major: Applied and Computational Math
PhD Advisor: Ziad Musslimani
Thesis Title: Nonlinear wave propagation in non-Hermitian media: theory and computation - Student: Angelica Davenport
Major: Biomath
PhD Advisor: Nicholas Cogan
Thesis Title: Mathematical Models of Triple-Negative Breast Cancer and HIV: Methods to Inform Treatment Regimens in Preclinical and Clinical Settings - Student: Samuel Dent
Major: Applied and Computational Math
PhD Advisor: Aseel Farhat
Thesis Title: Analytical Study of Feedback Control Data Assimilation Algorithms for Ocean Models - Student: Brad Mostowski
Major: Financial Math
PhD Advisor: Ibrahim Ekren
Thesis Title: Stochastic Liquidity in the Kyle-Back Model - Student: Virginia Parkman
Major: Biomath
PhD Advisor: Nicholas Cogan
Thesis Title: Optimal Control Applied to a Canine Distemper Outbreak Modeled in an Animal Shelter - Student: Edward (Alex) White
Major: Pure Math
PhD Advisor: Alexander Reznikov
Thesis Title: Polarization and Covering on Sets of Low Smoothness: Studying Short Range Repulsive Points by Asymptotic Behavior
Fall 2022
- Student: Mehran Fazli
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Modeling and Multi-Time Scale Analysis of Endocrine Cells: From Single Cell Excitability to Network Synchronization
Summer 2022
- Student: Mehdi (Soheil) Abdi Anbouhi
Major: Pure Math
PhD Advisor: Washington Mio
Thesis Title: Universal Mappings and the Metric Geometry of Functional Data - Student: Jinglun Cai
Major: Financial Math
PhD Advisor: Alec Kercheval and Xiuwen Liu
Thesis Title: Two Topics in Deep Learning Based Dialogue Systems
Spring 2022
- Student: Yiran Chen
Major: Applied & Computational Math
PhD Advisor: Giray Okten
Thesis Title: Simulation and Goodness-of-Fit Tests of Copulas - Student: Zishi Feng
Major: Financial Math
PhD Advisor: Brian Ewald and Ziad Musslimani
Thesis Title: A dynamic renormalization approach for solving stochastic differential equations - Student: Haixu Wang
Major: Applied & Computational Math
PhD Advisor: Ling Zhu
Thesis Title: A Discrete-Time Self- and Mutual-exciting Models - Student: Yi Zhou
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Algorithms for Factoring Linear Recurrence Operators
Fall 2021
- Student: Hubeyb Gurdogan
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Eigenvector Shrinkage for Estimating Covariance Matrices - Student: Benjamin Prather
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Octonions - Hilbert Spaces, Fibrations and Analysis
Summer 2021
- Student: Joshua Kimrey
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Geometric Singular Perturbation Analysis of Early Afterdepolarizations in Cardiac Myocytes: Canard Analysis of Cardiac Action Potential Models - Student: Tarak Shisode
Major: Applied & Computational Math
PhD Advisor: Washington Mio and Jinfeng Zhang
Thesis Title: Improving the accuracy of 3D chromosome structure inference and analyzing the organization of genome in early embryogenesis using single cell Hi-C data - Student: Xiaoyu Wang
Major: Financial Math
PhD Advisor: Ling Zhu
Thesis Title: Langevin Algorithms in Data Science
Spring 2021
- Student: Hua Huang
Major: Applied & Computational Math
PhD Advisor: Adrian Barbu and Kyle Gallivan
Thesis Title: Robust machine learning and the application to lane change decision making prediction
Fall 2020
- Student: Shayea Waqaian Aldossari
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Algorithms for Simplifying Differential Equations - Student: Peng Diao
Major: Applied & Computational Math
PhD Advisor: M. Yousuff Hussaini and Mark Sussman
Thesis Title: Parareal Algorithm Applied to the Stefan Problem - Student: Yeuran Oh
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Islet Synchronization in a Hybrid Experimental and Mathematical System
Summer 2020
- Student: Orhan Akal
Major: Applied & Computational Math
PhD Advisor: Adrian Barbu
Thesis Title: Learning Chan-Vese - Student: John Henry Bergschneider
Major: Pure Math
PhD Advisor: Wolfgang Heil
Thesis Title: 2-Stratifolds with Finite Fundamental Group - Student: Patrick Eastham
Major: Biomath
PhD Advisor: Nick Moore, Nick Cogan
Thesis Title: A Novel Model for Precipitation Reactions in Microfluidic Devices - Student: Lydia Parker Marie Eldredge
Major: Pure Math
PhD Advisor: Kathleen Petersen
Thesis Title: Minimal Mahler Measure in Cubic Fields - Student: Jamie Fox
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: Applications of Polynomial Chaos to Monte Carlo Simulation - Student: Yangzi Guo
Major: Applied & Computational Math
PhD Advisor: Adrian Barbu
Thesis Title: A Study of Feature Interactions and Pruning on Neural Networks - Student: Opal Jane Graham
Major: Pure Math
PhD Advisor: Philip Bowers
Thesis Title: Rigidity of Point and Sphere Configurations - Student: Haibin Hang
Major: Pure Math
PhD Advisor: Washington Mio
Thesis Title: A New Formulation of 1-D Persistent Homology Via Correspondence Modules - Student: Yang Liu
Major: Applied & Computational Math
PhD Advisor: Mark Sussman, M. Yousuff Hussaini
Thesis Title: A Novel Numerical Method for Resolving Micro-Structure Based on Supermesh for Multi-Material Systems - Student: Zhiqiu Li
Major: Applied & Computational Math
PhD Advisor: Lingjiong Zhu
Thesis Title: Option Pricing for An Affine Jump-Diffusion Model - Student: Matthew McCurdy
Major: Applied & Computational Math
PhD Advisor: Nick Moore, Xiaoming Wang
Thesis Title: Convection in Coupled Fluid-Porous Media Systems: A Tale of Two Fluids - Student: Michael Niemeier
Major: Pure Math
PhD Advisor: Ettore Aldrovandi
Thesis Title: Central Extensions of Simplicial Groups and Presheaves of Simplicial Groups - Student: Deniz Ozturk
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Dynamics of Reversible and Irreversible Fouling and Optimal Control Analysis of Backwashing Timing for Hollow Fiber Microfiltration - Student: Arun Kumar Polala
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: Multilevel Monte Carlo and Debiased Monte Carlo Methods in Financial Engineering - Student: Zhe Su
Major: Pure Math
PhD Advisor: Eric Klassen, Martin Bauer
Thesis Title: Elastic Shape Analysis of Curves and Surfaces - Student: Kangwei Xing
Major: Financial Math
PhD Advisor: Arash Fahim
Thesis Title: Model-Independent Superhedging with Portfolio Constraints in Continuous Time under Weak S topology - Student: Canlin Zhang
Major: Biomath
PhD Advisor: Xiuwen Liu, Richard Bertram
Thesis Title: Natural Language Processing by Deep Neural Networks
Spring 2020
- Student: Grayson Jorgenson
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: Secant Indices, Duality Defect, and Generalizations of the Segre Zeta Function - Student: Heting Yan
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Deep Learning for Limit Order Book Trading and Mid-Price Movement - Student: Thanittha Kowan
Major: Pure Math
PhD Advisor: Philip Bowers
Thesis Title: Conformal Tilings and Expansion Complexes
Fall 2019
- Student: Antigoni Georgiadou
Major: Applied & Computational Math
PhD Advisor: Mark Sussman, Tomas Plewa
Thesis Title: Global Optimization in Stellar Evolution Applications - Student: Feifan Liu
Major: Applied & Computational Math
PhD Advisor: Mark Sussman
Thesis Title: Novel Numerical Analysis Methods, Using the WENO and WENO-Z Algorithms, for Combining Observational Data with Model Predictions for Improving Forecasts
Summer 2019
- Student: Johnna Pauline Barnaby
Major: Biomath
PhD Advisor: Harsh Jain
Thesis Title: Mathematical Models of Prostate Cancer Progression and Response to Treatment - Student: Carolyn Marie Eady
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: On the Use of Conformal Mappings, Invariants and Warpings in Investigations of the Cortical Surface - Student: Inmaculada Concepcion Sorribes Rodriguez
Major: Biomath
PhD Advisor: Harsh Jain
Thesis Title: Gliomas Diagnosis, Progression and Treatment: A Mathematical Approach - Student: Matthew Crawford Villemarette
Major: Applied & Computational Math
PhD Advisor: Mark Sussman
Thesis Title: Second Order Discrete Maximum Preserving Finite Difference and Finite Element Methods for Nonlinear Parabolic Equations
Spring 2019
- Student: Manu Aggarwal
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Mathematical Modeling and Sensitivity Analysis for Biological Systems - Student: Andrey Igorevich Manakov
Major: Financial Math
PhD Advisor: Jerry Magnan
Thesis Title: Construction of a General Trading Approach for Financial Markets with Artificial Neural Networks - Student: Mohammad Aamir Rasheed
Major: Pure Math
PhD Advisor: Wolfgang Heil
Thesis Title: Surface Subgroups of 3-Manifold Groups - Student: Seyyed Navid Salehy
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Random Walks Over Point Processes and their Application in Finance - Student: Seyyed Nima Salehy
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: Belief Function Theory: Monte Carlo Methods and Applications to Stock Markets - Student: Ryan Michael Vinson
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Modelling the Synchronous Behavior of Pancreatic Islets
Fall 2018
- Student: Zailei Cheng
Major: Applied & Computational Math
PhD Advisor: Lingjiong Zhu
Thesis Title: Diffusion Approximation of a Risk Model
Summer 2018
- Student: Nihan Acar
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Exploration of the Role of Disinfection Timing, Duration, and Other Control Parameters on Bacterial Populations Using a Mathematical Model - Student: Gitesh Dawer
Major: Applied & Computational Math
PhD Advisor: Adrian Barbu
Thesis Title: Neural Rule Ensembles: Encoding Feature Interactions into Neural Networks - Student: Yaqing You
Major: Applied & Computational Math
PhD Advisor: Kyle Gallivan
Thesis Title: A Riemannian approach for computing geodesics in elastic shape space and its applications - Student: Xinru Yuan
Major: Applied & Computational Math
PhD Advisor: Kyle Gallivan, Pierre-Antoine Absil
Thesis Title: Riemannian Optimization Methods for Averaging Symmetric Positive Definite Matrices
Spring 2018
- Student: Serdar Cellat
Major: Biomath
PhD Advisor: Washington Mio, Giray Okten
Thesis Title: Metric Learning for Shape Classification: A Fast and Efficient Approach with Monte Carlo Methods - Student: Atanaska Zapryanova Dobreva
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Using Mathematical Tools to Investigate the Autoimmune Hair Loss Disease Alopecia Areata - Student: Sepideh Ebadi
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Evolutionary Dynamics of Bacterial Persistence Under Nutrient/ Antibiotic Actions - Student: Daniel Eduardo Galvis
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Distributed Neural Network Models for Birdsong Production - Student: Matthew Charles Hancock
Major: Applied & Computational Math
PhD Advisor: Jerry Magnan
Thesis Title: Algorithmic Lung Nodule Analysis in Chest Tomography Images: Lung Nodule Malignancy Likelihood Prediction and A Statistical Extension of the Level Set Image Segmentation Method - Student: Hua-Yi Lin
Major: Financial Math
PhD Advisor: Arash Fahim
Thesis Title: Optimal Portfolio Execution Under Time-Varying Liquidity Constraints - Student: Yaineli Valdes
Major: Pure Math
PhD Advisor: Ettore Aldrovandi
Thesis Title: The 1-Type of K-Theory for a Waldhausen Category as a Multifunctor - Student: Ethan Randy Williams
Major: Pure Math
PhD Advisor: Richard Oberlin
Thesis Title: Affine Dimension of Smooth Curves and Surfaces - Student: Xiping Zhang
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: Characteristic Classes and Local Invariants on Determinantal Varieties (Temperate)
Fall 2017
- Student: Jian Li
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Modeling of Biofilms with Implementations - Student: Wan-Yu Tsai
Major: Financial Math
PhD Advisor: Arash Fahim
Thesis Title: Monte Carlo Scheme For A Singular Control Problem: Investment-Consumption Under Proportional Transaction Costs - Student: Sergiusz Jan Wesolowski
Major: Biomath
PhD Advisor: Richard Bertram, Wei Wu
Thesis Title: Developing SRSF Shape Analysis Techniques for Applications in Neuroscience and Genomics - Student: Wen Xu
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Third Order A-Hypergeometric Functions - Student: Melissa Sue Marchand
Major: Applied & Computational Math
PhD Advisor: Kyle Gallivan, Paul Van Dooren
Thesis Title: Low-rank Riemannian Optimization Approach to the Role Extraction Problem
Summer 2017
- Student: Chaoxu Pei
Major: Applied & Computational Math
PhD Advisor: Mark Sussman, M. Yousuff Hussaini
Thesis Title: Space-Time Spectral Element Methods in Fluid Dynamics and Materials Science - Student: Erdal Imamoglu
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Algorithms for Solving Linear Differential Equations with Rational Function Coefficients - Student: Chenchen Zhou
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: On the Multidimensional Default Threshold Model for Credit Risk Model - Student: Diana Lissett Flores-Diaz
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: An Electrophysiological and Mathematical Modeling Study of Developmental and Sex Effects on Neurons of the Zebra Finch Song System - Student: Omid Khanmohamadi
Major: Applied & Computational Math
PhD Advisor: Mark Sussman
Thesis Title: High-Order, Efficient, Numerical Algorithms For Integration In Manifolds Implicitly Defined By Level Sets - Student: Yahya Ahmed Almalki
Major: Pure Math
PhD Advisor: Craig Nolder
Thesis Title: Sorvali Dilatation and Spin Divisors on Riemann and Klein Surfaces - Student: Jian Wang
Major: Financial Math
PhD Advisor: Jinfeng Zhang, Giray Okten
Thesis Title: Ensemble Methods for Capturing Dynamics of Limit Order Books - Student: Yunyi Shen
Major: Pure Math
PhD Advisor: Matilde Marcolli, Paolo Aluffi
Thesis Title: Arithmetic Aspects of Noncommutative Geometry: Motives of Noncommutative Tori and Phase Transitions on GL(n) and Shimura Varieties Systems - Student: Yu-Ying Tzeng
Major: Financial Math
PhD Advisor: Giray Okten, Paul Beaumont
Thesis Title: Quasi-Monte Carlo and Markov Chain Quasi-Monte Carlo Methods in Estimation and Prediction of Time Series Models - Student: Leona H. Sparaco
Major: Pure Math
PhD Advisor: Kathleen Petersen
Thesis Title: Character Varieties of Knots and Links with Symmetries
Spring 2017
- Student: Vehpi Yildirim
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Mathematical Modeling and Analysis of Gene Knockout Compensation in Pancreatic Beta-Cells - Student: Corey Harris
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: Effective Methods in Intersection Theory and Combinatorial Algebraic Geometry - Student: Yao Dai
Major: Biomath
PhD Advisor: Mike Mesterton-Gibbons
Thesis Title: Game-Theoretic Models of Animal Behavior Observed in Some Recent Experiments - Student: Jian Li
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Mathematical Modeling of Biofilms and Implementations - Student: Liang-Hsuan Tai
Major: Applied & Computational Math
PhD Advisor: Kyle Gallivan, Anuj Srivastava
Thesis Title: Trend and Variable-Phase Seasonality Estimation from Functional Data - Student: David Mandel
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: Random Sobol - Sensitivity Analysis and Model Robustness - Student: Mehmet Emin Aktas
Major: Pure Math
PhD Advisor: Eriko Hironaka
Thesis Title: Topology of N-gonal Curves - Student: Daniel Weingard
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Scroll Waves: And How They Interact with Non-Reactive Knots, Tori, And Spheres - Student: Yuanda Chen
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Modeling Limit Order Book Dynamics using Hawkes Processes - Student: John Max Wyse
Major: Biomath
PhD Advisor: Mike Mesterton-Gibbons
Thesis Title: The Impact of Competition on Temporal Musth Strategies: A Game-Theoretic Approach - Student: Joseph Patrick McKenna
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Insulin Secretion Rhythms: Calcium Regulation of Beta-Cell Metabolism and Rescue of Islet Oscillations
Fall 2016
- Student: Kouadio David Yao
Major: Financial Math
PhD Advisor: Victor Patrangenaru, Alec Kercheval
Thesis Title: Statistical Analysis on Object Spaces with Applications to 3D Face Analysis and Exchange Rates Data - Student: Chun-Yuan Chiu
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Modeling Credit Risk in the Default Threshold Framework - Student: Robert Brantley Billet
Major: Pure Math
PhD Advisor: Eriko Hironaka
Thesis Title: Flow Equivalence Classes of Pseudo-Anosov Surface Homeomorphisms
Summer 2016
- Student: Justin Eilertsen
Major: Applied & Computational Math
PhD Advisor: Jerry Magnan
Thesis Title: Local and Global Bifurcations in Finite-Dimensional Center Manifold Equations of Double-Diffusive Convection - Student: Dane Mayhook
Major: Pure Math
PhD Advisor: Philip Bowers
Thesis Title: Conformal Tilings and Type
Spring 2016
- Student: Mao Li
Major: Biomath
PhD Advisor: Washington Mio
Thesis Title: Quantifying Phenotypic Variation through Local Persistent Homology and Imaging - Student: David Allen Ekrut
Major: Biomath
PhD Advisor: Nicholas Cogan
Thesis Title: Symmetry Solutions of the Multiphase Model with Biological Applications - Student: Angela Michelle Jarrett
Major: Biomath
PhD Advisor: Nick Cogan, M. Yousuff Hussaini
Thesis Title: Investigating Persistent Infections Using Mathematical Modeling and Analyses - Student: Diego Hernan Diaz Martinez
Major: Biomath
PhD Advisor: Washington Mio
Thesis Title: Multiscale Summaries of Probability Measures with Applications to Plant and Microbiome Data - Student: Brendon Kerr Ballenger-Fazzone
Major: Pure Math
PhD Advisor: Craig A. Nolder
Thesis Title: An Analysis of Conjugate Harmonic Components of Monogenic Functions and Lambda Harmonic Functions - Student: Justin Thomas Cole
Major: Applied & Computational Math
PhD Advisor: Ziad Musslimani
Thesis Title: Nonlinear Schrodinger-type Systems: Complex Lattices and Non-paraxiality - Student: Yuanda Chen
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Modeling Limit Order Book Dynamics using Hawkes Processes
Fall 2015
- Student: Sarah Kim
Major: Biomath
PhD Advisor: Monica Hurdal
Thesis Title: A Mathematical Model of Cerebral Cortical Folding Development Based on a Biomechanical Hypothesis - Student: Celestine Woodruff
Major: Applied & Computational Math
PhD Advisor: Xiaoming Wang
Thesis Title: Efficient and Accurate Numerical Schemes for Long Time Statistical Properties of the Infinite Prandtl Number Model for Convection
Summer 2015
- Student: Guifang Zhou
Major: Applied & Computational Math
PhD Advisor: Kyle Gallivan, Paul van Dooren
Thesis Title: Rank-Constrained Optimization: A Riemannian Manifold Approach - Student: Dong Sun
Major: Applied & Computational Math
PhD Advisor: Xiaoming Wang, Max Gunzberger
Thesis Title: High Order Long-Time Accurate Methods for Stokes-Darcy System and Uncertainty Quantification of Contaminant Transport - Student: Dawna Jones
Major: Financial Math
PhD Advisor: Alec Kercheval, Paul Beaumont
Thesis Title: Asset Pricing Equilibria for Heterogeneous, Limited-Information Agents - Student: Patrick Fletcher
Major: Biomath
PhD Advisor: Richard Bertram, Joel Tabak-Sznajder
Thesis Title: Theoretical, Computational, and Experimental Topics in Anterior Pituitary Cell Signaling - Student: Wei Yuan
Major: Financial Math
PhD Advisor: Giray Okten, Kyounghee Kim
Thesis Title: Estimating Sensitivities of Exotic Options Using Monte Carlo Methods - Student: William Adams
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: Lagrangian Specialization Via Log Resolution and Schwartz MacPherson Chern Classes - Student: Daozhi Han
Major: Applied & Computational Math
PhD Advisor: Xiaoming Wang
Thesis Title: Diffuse Interface Method for Two-Phase Incompressible Flows - Student: Linlin Xu
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: GPU Computing in Financial Engineering
Spring 2015
- Student: Russell Waller
Major: Pure Math
PhD Advisor: Sergio Fenley
Thesis Title: Periodic Pieces of Pseudo-Anosov Flows in Graph Manifolds - Student: Qiuping Xu
Major: Biomath
PhD Advisor: Washington Mio
Thesis Title: Keeping Pace with the Times: Quantifying Variation of Newly Emerging Biological Shape Data - Student: John Emanuello
Major: Pure Math
PhD Advisor: Craig Nolder
Thesis Title: Analysis of Functions of Split-Complex, Multicomplex and Split-Quaternionic Variables and Their Associated Conformal Geometry - Student: Tugba Karabiyik
Major: Biomath
PhD Advisor: Mike Mesterton-Gibbons
Thesis Title: A Game-Theoretic Analysis of Competition Over Indivisible Resources - Student: Anthony Wills
Major: Financial Math
PhD Advisor: Brian Ewald, Xiaoming Wang
Thesis Title: Analysis of Regularity and Convergence of Discretization Methods for the Stochastic Heat Equation Forced by Space-Time White Noise - Student: Xin Li
Major: Pure Math
PhD Advisor: Mika Seppala, Mark Van Hoeij
Thesis Title: Myrbergs Numerical Uniformization
Fall 2014
- Student: Sevgi Sengul
Major: Biomath
PhD Advisor: Richard Bertram, Tabak-Sznajder
Thesis Title: Unveiling Mechanisms for Electrical Activity Patterns in Neurons and Pituitary Cells Using Mathematical Modeling and Analysis
Summer 2014
- Student: Ming Zhu
Major: Financial Math
PhD Advisor: Warren Nichols
Thesis Title: Radically Elementary Stochastic Summation with Applications to Finance - Student: Matthew Donahue
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Modeling the Effect of Biofilm - Student: Vijay Kunwar
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Hypergeometric Solutions of Linear Differential Equations with Rational Function Coefficients - Student: Matt Jemison
Major: Applied & Computational Math
PhD Advisor: Mark Sussman
Thesis Title: An asymptotically preserving method for multiphase flow - Student: Yingyuen Shen
Major: Biomath
PhD Advisor: Mike Mesterton-Gibbons
Thesis Title: Mathematical Models of Dengue Fever and Measures to Control It - Student: Nguyet Nguyen
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: Probabilistic methods in estimation and prediction of financial models - Student: Ivan Dungan
Major: Pure Math
PhD Advisor: Ettore Aldrovandi
Thesis Title: n-butterflies: modeling weak morphisms of strict n-groups
Spring 2014
- Student: Ahmed Derar Islim
Major: Financial Math
PhD Advisor: David Kopriva
Thesis Title: Pricing and Hedging Derivatives with Sharp Profiles using tuned High Resolution Finite Difference Schemes - Student: Andrew Winters
Major: Applied & Computational Math
PhD Advisor: David Kopriva
Thesis Title: Discontinuous Galerkin spectral element approximations for the reflection and transmission of waves from moving material interfaces - Student: Wen Huang
Major: Applied & Computational Math
PhD Advisor: Kyle Gallivan, P.A. Absii
Thesis Title: Optimization Algorithms on Riemannian Manifolds with Applications
Fall 2013
- Student: Pierre Garreau
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Jump Dependence and Default Risk: a new class of structural models of default risk - Student: Yanyan He
Major: Applied & Computational Math
PhD Advisor: Yousuff Hussaini
Thesis Title: Uncertainty quantification and data fusion based on Dempster-Shafer theory - Student: Yaning Liu
Major: Applied & Computational Math
PhD Advisor: Giray Okten, Yousuff Hussaini
Thesis Title: Non-intrusive methods for probabilistic uncertainty quantification and global sensitivity analysis in nonlinear stochastic phenomena - Student: Candace Ohm
Major: Pure Math
PhD Advisor: Mike Mesterton-Gibbons
Thesis Title: The Evolution of Deception in Signaling Systems - Student: Mark Whidden
Major: Biomath
PhD Advisor: Nick Cogan
Thesis Title: Numerical Methods for Multiphase Systems and Applications to Biology - Student: Yuan Zhang
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Modeling high-frequency order book dynamics with support vector machines
Summer 2013
- Student: Ibukun Amusan
Major: Financial Math
PhD Advisor: Giray Okten, Brian Ewald
Thesis Title: Parameter estimation for a stochastic volatility model with coupled additive and multiplicative noise - Student: Arij Daou
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: From Songs to Ion Channels and Mathematical Modeling - Student: Jian Geng
Major: Financial Math
PhD Advisor: Michael Navon, Bettye Anne Case
Thesis Title: Calibration of local volatility models and proper orthogonal decomposition (POD) reduced order modeling for stochastic volatility models - Student: Yuanting Lu
Major: Biomath
PhD Advisor: Jack Quine
Thesis Title: Discrete Frenet frame with application to structural biology and kinematics - Student: Wanwan Huang
Major: Financial Math
PhD Advisor: Giray Okten, Brian Ewald
Thesis Title: Stochastic Modeling of Financial Derivatives - Student: Xia Liao
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: Chern classes of sheaves of logarithmic vector fields for free divisors - Student: Dongxu Wang
Major: Pure Math
PhD Advisor: Wolfgang Heil
Thesis Title: 3-manifolds of S1-category 3
Spring 2013
- Student: Jonathan Bates
Major: Biomath
PhD Advisor: Washington Mio
Thesis Title: Spectral methods for morphometry - Student: Motoi Namihira
Major: Financial Math
PhD Advisor: David Kopriva
Thesis Title: Probabilistic uncertainty analysis and its applications in option models - Student: Gregory Toole
Major: Biomath
PhD Advisor: Monica Hurdal
Thesis Title: Modeling cortical folding patterns of the brain using a growth domain - Student: Linda (Crystal) Wells
Major: Pure Math
PhD Advisor: Eric Klassen
Thesis Title: Shape analysis of curves in higher dimensions
Fall 2012
- Student: Tingting Fang
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Solving linear differential equations in terms of hypergeometric functions by 2-descent - Student: Dan Li
Major: Pure Math
PhD Advisor: Matilde Marcolli, Paolo Aluffi
Thesis Title: Periods and motives: applications in mathematical physics - Student: Daniel Robinson
Major: Pure Math
PhD Advisor: Eric Klassen
Thesis Title: Functional analysis and partial matching in the square root velocity framework - Student: Jinhua Yan
Major: Financial Math
PhD Advisor: David Kopriva
Thesis Title: Partial differential equation methods to price options in the energy market
Summer 2012
- Student: Joseph A. Boor
Major: Financial Math
PhD Advisor: Patricia Born, Bettye Anne Case, Qihe Tang
Thesis Title: An analytic approach to estimating the required surplus, benchmark profit, and optimum reinsurance retention for an insurance enterprise - Student: James A. Fullwood
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: On elliptic fibrations and F-theory compactifications of string vacua - Student: Randall J. Heaton
Major: Pure Math
PhD Advisor: Amod Agashe, Mark van Hoeij
Thesis Title: Algorithms for computing congruences between modular forms - Student: Wondimu W. Teka
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Nonlinear dynamics underlying fast bursting in pituitary cells - Student: Guanghong Wang
Major: Pure Math
PhD Advisor: Craig Nolder
Thesis Title: Dirac operators, multipliers, and Hp spaces of monogenic functions
Spring 2012
- Student: Johnathon K. Armstrong
Major: Pure Math
PhD Advisor: Eriko Hironaka, Kathleen Petersen
Thesis Title: Principal elements of mixed-sign Coxeter systems - Student: Yu Fan
Major: Biomath
PhD Advisor: Washington Mio
Thesis Title: Learning shape metrics for inferring the nature of allometry and shape classification - Student: He Huang
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Modeling order book dynamics using queues and point processes - Student: Tianyu Liang
Major: Applied & Computational Math
PhD Advisor: Xiaoming Wang, Alec Kercheval
Thesis Title: Alternative models for stochastic volatility corrections for equity and interest rate derivatives - Student: Yang Liu
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Risk forecasting and portfolio optimization with GARCH, skewed-t distribution, and multiple timescales - Student: Quan Yuan
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Finding all Bessel-type solutions for linear differential equations with rational function coefficients
Fall 2011
- Student: Judson P. Stryker
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: Chern-Schwartz-MacPherson classes of graph hypersurfaces and Schubert varieties - Student: Aaron D. Valdivia
Major: Pure Math
PhD Advisor: Eriko Hironaka
Thesis Title: Pseudo-Anosov sequences with asymptotically small dilatation - Student: Margaret A. Watts
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Slow variable dominance in pancreatic beta-cell models
Summer 2011
- Student: Saikat Biswas
Major: Pure Math
PhD Advisor: Amod Agashe
Thesis Title: Constructing non-trivial elements of the Shafarevich-Tate group of an abelian variety - Student: Yuanying Guan
Major: Financial Math
PhD Advisor: Alec Kercheval, Paul Beaumont
Thesis Title: Asset market dynamics of heterogeneous agents models with learning - Student: Qin Li
Major: Applied & Computational Math
PhD Advisor: Gordon Erlebacher (DSC, FSU), Xiaoming Wang
Thesis Title: Sparse approximation and its applications
Spring 2011
- Student: Cesar Acosta-Minoli
Major: Applied & Computational Math
PhD Advisor: David Kopriva
Dissertation Title: Discontinuous Galerkin spectral element approximations on moving meshes for wave scattering from reflective moving boundaries - Student: Young J. Cha
Major: Pure Math
PhD Advisor: Mark van Hoeij
Dissertation Title: Closed form solutions of linear difference equations - Student: Xiao Chen
Major: Applied & Computational Math
PhD Advisor: I. Michael Navon (DSC, FSU), Mark Sussman
Dissertation Title: 4-D var data assimilation and POD model reduction methodologies applied to geophysical fluid dynamics models - Student: Austen C. Duffy
Major: Applied & Computational Math
PhD Advisor: Mark Sussman, Yousuff Hussaini
Dissertation Title: Massively parallel algorithms for CFD simulation and optimization on heterogeneous many-core architectures - Student: Philip Paul Lepoudre
Major: Applied & Computational Math
PhD Advisor: Christopher K.W. Tam
Dissertation Title: Computational aeroacoustics cascade model of fan noise - Student: Jamil W. Mortada
Major: Pure Math
PhD Advisor: Sergio Fenley, Eriko Hironaka
Dissertation Title: Arim and Dehn twist subgroups of the mapping class group - Student: Chunhong Qi
Major: Applied & Computational Math
PhD Advisor: Kyle Gallivan, Pierre-Antoine Absil
Dissertation Title: Numerical optimization methods on Riemannian manifolds - Student: Matthew C. Willyard
Major: Financial Math
PhD Advisor: David Kopriva
Dissertation Title: Adaptive spectral element methods to price American options
Fall 2010
- Student: Yaohong Wang
Major: Applied & Computational Math
PhD Advisor: Mark Sussman
Dissertation Title: Numerical methods for two-phase jet flow
Summer 2010
- Student: Dervis Bayazit
Major: Financial Math
PhD Advisor: Craig Nolder
Thesis Title: Sensitivity analysis of options under Levy processes via Malliavin calculus - Student: Xinyang Liu
Major: Biomath
PhD Advisor: Washington Mio
Thesis Title: Shape spaces, metrics, and their applications to brain anatomy - Student: Ji Shen
Major: Applied & Computational Math
PhD Advisor: Gordon Erlebacher (DSC, FSU), Xiaoming Wang
Thesis Title: No-reference natural image/video quality assessment of noisy, blurry, or compressed images/videos based on hybrid curvelet, wavelet, and cosine transforms - Student: Svetlana V. Simakhina
Major: Applied & Computational Math
PhD Advisor: Mark Sussman
Thesis Title: Level set and conservative level set methods on dynamic quadrilateral grids - Student: Ahmet E. Tatar
Major: Pure Math
PhD Advisor: Ettore Aldrovandi
Thesis Title: Picard 2-stacks and length 3 complexes of abelian sheaves
Spring 2010
- Student: Yong Jung
Major: Biomath
PhD Advisor: Michael Mascagni (CS, FSU), Philip Bowers
Thesis Title: A computational study of ion conductance in the KscA K+ channel using a Nerst-Planck model with explicit resident ions - Student: Giles S. Levy
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Solutions of second order recurrence relations
Fall 2009
- Student: Juan B Gutierrez
Major: Biomath
PhD Advisor: Monica Hurdal
Thesis Title: Mathematical analysis of the use of Trojan sex chromosomes as means of eradication of invasive species - Student: Edwin N. Jimenez
Major: Applied & Computational Math
PhD Advisor: Yousuff Hussaini
Thesis Title: Uncertainty quantification of nonlinear stochastic phenomena - Student: Deborah Striegel
Major: Biomath
PhD Advisor: Monica Hurdal
Thesis Title: Modeling the folding pattern of the cerebral cortex
Summer 2009
- Student: Ahmet Goncu
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: Monte Carlo and quasi-Monte Carlo methods in pricing financial derivatives - Student: Fei Hua
Major: Applied & Computational Math
PhD Advisor: Xiaoming Wang, Max Gunsburger (DSC, FSU)
Thesis Title: Modeling, analysis and simulation of the Stokes-Darcy system with Beavers-Joseph interface condition - Student: Rana Parshad
Major: Financial Math
PhD Advisor: Xiaoming Wang
Thesis Title: Asymptotic behavior of convection in porous media
Fall 2008
- Student: Yuri Alex Lebedev
Major: Pure Math
PhD Advisor: Mika Seppala
Thesis Title: Open math library for computing on Riemann surfaces - Student: Haomin Lin
Major: Applied & Computational Math
PhD Advisor: Janet Peterson (DSC, FSU), Max Gunzburger (DSC, FSU)
Thesis Title: An optimal control problem for a time dependent Ginzburg-Landau model of superconductivity - Student: Konstantinos Mavroudis
Major: Financial Math
PhD Advisor: Craig Nolder
Thesis Title: Constant proportions portfolio strategies in an evolutionary context under a dividend factor model - Student: Emmanuel R. Salta
Major: Financial Math
PhD Advisor: Giray Okten
Thesis Title: Variance reduction techniques in pricing financial derivatives - Student: Milena Tzigantcheva
Major: Financial Math
PhD Advisor: Craig Nolder
Thesis Title: Stochastic volatility extensions of the swap market model
Summer 2008
- Student: Manan Y Shah
Major: Financial Math
PhD Advisor: Giray Okten, Yevgeny Goncharov
Thesis Title: Randomized quasi-Monte Carlo methods and the computation of endogenous mortgage rates - Student: Eunjoo Yoo
Major: Financial Math
PhD Advisor: Craig Nolder
Thesis Title: Variance gamma pricing of American futures options
Spring 2008
- Student: Hoa V. Nguyen
Major: Applied & Computational Math
PhD Advisor: Max Gunzburger (DSC, FSU)
Thesis Title: Centroidal Voronoi Tessellations for mesh generation: from uniform to anisotropic adaptive triangulations - Student: Andrew P. Novocin
Major: Pure Math
PhD Advisor: Mark van Hoeij
Thesis Title: Factoring univariate polynomials over the rationals - Student: Wuming Zhu
Major: Financial Math
PhD Advisor: David Kopriva
Thesis Title: A spectral element method to price European options
Fall 2007
- Student: Wan-Kan Chan
Major: Applied & Computational Math
PhD Advisor: Max Gunzburger (DSC, FSU)
Thesis Title: Analysis and approximation of a two-banded Ginzburg-Landau model of superconductivity - Student: Juan F Moreno
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Impulse control problems under non-constant volatility - Student: Yuki Saka
Major: Applied & Computational Math
PhD Advisor: Max Gunzburger (DSC, FSU)
Thesis Title: Analysis of two PDE models in fluid mechanics: nonlinear spectral eddy-viscosity model of turbulence and infinite Prandtl-number model of mantle convection
Summer 2007
- Student: Zheng Chen
Major: Applied & Computational Math
PhD Advisor: Max Gunzburger (DSC, FSU)
Thesis Title: Anova for parameter dependent nonlinear PDEs and numerical methods for the stochastic Stokes equations - Student: Andrew Culham
Major: Financial Math
PhD Advisor: Alec Kercheval, Paul Beaumont (Economics, FSU)
Thesis Title: Asset pricing in a Lucas framework with boundary rational, heterogeneous agents - Student: Lee W. Singleton
Major: Biomath
PhD Advisor: Monica Hurdal
Thesis Title: Geometric and computational generation, correction, and simplification of cortical surfaces of the human brain
Spring 2007
- Student: Christian Laing
Major: Biomath
PhD Advisor: De Witt Sumners
Thesis Title: Biomedical applications of shape descriptors - Student: Jennifer K Mann
Major: Biomath
PhD Advisor: De Witt Sumners, E. Lynn Zechiedrich
Thesis Title: DNA knotting: Occurrences, consequences, and resolution - Student: Natalia Toporikova
Major: Biomath
PhD Advisor: Richard Bertram
Thesis Title: Regulation of rhythmic prolactin secretion: combined mathematical and experimental study - Student: Clayton Webster
Major: Applied & Computational Math
PhD Advisor: Max Gunzburger (DSC, FSU)
Thesis Title: Sparse collocation techniques for the numerical solution of stochastic partial differential equations - Student: Jianke Zhang
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Numerical methods for portfolio risk estimation
Fall 2006
- Student: Srisairam Achuthan
Major: Biomath
PhD Advisor: J.R. Quine
Thesis Title: Analysis of orientational restraints in solid-state nuclear magnetic resonance with applications to protein structure determination - Student: Mack L Galloway
Major: Financial Math
PhD Advisor: Craig Nolder
Thesis Title: Option pricing with selfsimilar additive processes - Student: Dimitre G. Tzigantchev
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: Predegree polynomials of plane configurations in projective space
Summer 2006
- Student: William E. Wood
Major: Pure Math
PhD Advisor: Philip Bowers
Thesis Title: Combinatorial type problems for triangulation graphs
Spring 2006
- Student: Santha Ram Akella
Major: Applied & Computational Math
PhD Advisor: I. Michael Navon (DSC, FSU)
Thesis Title: Deterministic and stochastic aspects of data assimilation
Fall 2005
- Student: Ana M. Croicu
Major: Applied & Computational Math
PhD Advisor: Yousuff Hussaini
Thesis Title: Single and multiple-objective stochastic programming with applications to aerodynamics - Student: Wenbo Hu
Major: Financial Math
PhD Advisor: Alec Kercheval
Thesis Title: Calibration of multivariate generalized hyperbolic distributions using the EM algorithm, with applications in risk management, portfolio optimization, and portfolio credit risk
Summer 2005
- Student: Zhenlu Cui
Major: Pure Math
PhD Advisor: Qi Wang
Thesis Title: Rheology and mesoscale morphology of flows of cholesteric and nematic liquid crystal polymers - Student: Anand Ganesan
Major: Pure Math
PhD Advisor: Christopher K.W. Tam
Thesis Title: 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 - Student: Samet Y Kadioglu
Major: Applied & Computational Math
PhD Advisor: Mark Sussman
Thesis Title: All speed multi-phase flow solvers - Student: Parthasar Srinivasan
Major: Biomath
PhD Advisor: J.R. Quine
Thesis Title: Applications of representation theory and higher-order perturbation theory in NMR
Spring 2005
- Student: Jacqueline R. Goforth
Major: Pure Math
PhD Advisor: Sam Huckaba
Thesis Title: Description and analysis of a two-variable version of the NTRU crypto system - Student: Marc R. Lengfield
Major: Pure Math
PhD Advisor: Dan Oberlin
Thesis Title: Envelopes, duality, and multipliers for certain non-locally convex Hardy-Lorentz spaces
Summer 2004
- Student: Caroline M. Boulis
Major: Pure Math
PhD Advisor: Wolfgang Heil
Thesis Title: Finite Abelian group actions on orientable circle bundles over surfaces
Spring 2004
- Student: Marc R. Lengfield
Major: Pure Math
PhD Advisor: Dan Oberlin
Thesis Title: Envelopes, duality, and multipliers for certain non-locally convex Hardy-Lorentz spaces - Student: Benoit Montin
Major: Financial Math
PhD Advisor: Craig Nolder
Thesis Title: A stock market agent-based model using evolutionary game theory and quantum mechanical formalism
Fall 2003
- Student: Deborah Jones
Major: Pure Math
PhD Advisor: Paolo Aluffi
Thesis Title: Intersection numbers of divisors in graph varieties
Summer 2003
- Student: Roger V Vogeler
Major: Pure Math
PhD Advisor: Philip Bowers
Thesis Title: On the geometry of Hurwitz surfaces
Spring 2003
- Student: Irma Cruz-White
Major: Biomath
PhD Advisor: De Witt Sumners
Thesis Title: Topology of spiral waves in excitable media
Summer 2002
- Student: Cristian Homescu
Major: Applied & Computational Math
PhD Advisor: I. Michael Navon (DSC, FSU)
Thesis Title: Optimal control of continuous and discontinuous flow