Recent PhD Graduates


Souvik Dey

Graduation date:  Summer 2023
Research area:  Commutative Algebra
Thesis title:  Some Categorical Aspects of Commutative Algebra
Thesis advisor:  Hailong Dao
First job:  Research Scientist, Charles University
Website:Link

Jinjin Zhang

Graduation date:  Spring 2023
Research area:  Numerical Analysis
Thesis title:  BDDC algorithms for the PDEs with HDG discretizations
Thesis advisor:  Xuemin Tu
First job:  Visiting Assistant Professor, Ohio State University

Ryan Frier

Graduation date:  Spring 2023
Research area:  Harmonic/Fourier Analysis
Thesis title:  Extremizers to the Strichartz Inequality in Dimension 1
Thesis advisor:  Shuanglin Shao
First job:  Assistant Teaching Professor, Arizona State University, Tempe, AZ
Website: Link

Mehmet Yenisey

Graduation date:  Summer 2022
Research area:  Probability Theory
Thesis title:  The metric geometry nature of Wasserstein spaces of probability measures: On the point of view of submetry projections
Thesis advisor:  Jin Feng
First job:  Visiting Lecturer, Rochester Institute of Technology (RIT)

Yanru Su

Graduation date:  Summer 2022
Research area:  Numerical Analysis
Thesis title:  Domain Decomposition Methods for Convection-Diffusion-Reaction Equations with Finite Volume Discretizations
Thesis advisor:  Xuemin Tu
First job:  Data Scientist, CDW Corporation

Bhargobjyoti Saikia

Graduation date:  Summer 2022
Research area:  Stochastic Processes
Thesis title:  Euler approximation for stochastic Volterra equations and a central limit theorem to a system of heat equations
Thesis advisor:  David Nualart
First job:  Data Scientist, John Hancock Financial, Boston, MA 

Abba Ramadan

Graduation date:  Spring 2022
Research area:  Partial Differential Equations
Thesis title:  Existence and Stability of Solitary Waves for NLS with Defects
Thesis advisor:  Atanas Stefanov and Dionyssios Mantzavinos
First job:  Postdoctoral Associate, University of Alabama, Tuscaloosa, AL

Sefika Kuzgun

Graduation date:  Spring 2022
Research area:  Probability and Analysis
Thesis title:  Applications of Malliavin-Stein Method: Spatial averages of solution to stochastic heat equation and Breuer-Major theorem
Thesis advisor:  David Nualart
First job:  Visiting Assistant Professor, University of Rochester, Rochester, NY

Dylan C. Beck

Graduation date:  Spring 2022
Research area:  Commutative Algebra
Thesis title:  Combinatorial and Homological Aspects of Monomial Algebras and Numerical Semigroups
Thesis advisor:  Hailong Dao
First job:  Visiting Assistant Professor of Mathematics, Baker University
Website

Kevin Marshall

Graduation date:  Spring 2022
Research area:  Combinatorics
Thesis title:  A Hopf Monoid On Set Species
Thesis advisor:  Jeremy Martin
First job:  Software Developer, Epic, Madison, WI

Cassidy Krause

Graduation date:  Spring 2022
Research area:  Numerical Analysis
Thesis title:  A Metric Tensor Approach to Data Assimilation on Adaptive Moving Meshes
Thesis advisor:  Erik Van Vleck
First job:  Assistant Professor, Mathematics and Computer Science, Millikin University

Yi Yan

Graduation date:  Fall 2021
Research area:  Functional Analysis, Operator Algebra
Thesis title:  Operator Theory on Univariate Analytic Function Spaces
Thesis advisor:  Tyrone Duncan and Albert Sheu
First job:  Financial analyst, Bank of America, Charlotte, NC

Bibekananda Mishra

Graduation date:  Fall 2021
Research area:  Algebraic Obstruction Theory
Thesis title:  Obstruction Theory in Algebra and Topology: A Homotopy Perspective
Thesis advisor:  Satya Mandal
First job:  Credit Risk Analyst, T-Mobile, Overland Park, Kansas

Harrison Gaebler

Graduation date:  Summer 2021
Research area:  Functional Analysis
Thesis title:  Optimal L2 Bounds for Certain Hamiltonian Linearizations and New Generalizations of Asymptotic Structures in Certain Banach Spaces
Thesis advisor:  Milena Stanislavova
First job:  Postdoctoral Associate, University of Oklahoma

Debaditya Raychaudhury

Graduation date:  Summer 2021
Research area:  Algebraic Geometry
Thesis title:  Projective Normality and Normal Presentation for Adjoint Linear Series on Minimal Varieties
Thesis advisor:  Purnaprajna Bangere
First job:  Simons Postdoctoral Fellow, Fields Institute for Research in Mathematical Sciences, Toronto
Website

Jayan Mukherjee

Graduation date:  Summer 2021
Research area:  Algebraic Geometry
Thesis title:  Deformations of Finite Morphisms and Applications to Moduli of Irregular Surfaces of General Type with K2 = 4pg - 8
Thesis advisor:  Purnaprajna Bangere
First job:  Postdoctoral Researcher, ICERM/Brown University

Prashanth Sridhar

Graduation date:  Summer 2021
Research area:  Commutative Algebra
Thesis title:  Finding Maximal Cohen-Macaulay and Reflexive Modules
Thesis advisor:  Daniel Katz
First job:  Postdoctoral Researcher, Charles University at Prague

Promit Kundu

Graduation date:  Summer 2021
Research area:  Algebraic Geometry
Thesis title: Topics on Coherent Sheaves on DM Stacks
Thesis advisor:  Yunfeng Jiang
First job: Visiting Assistant Professor, Institute of Mathematical Sciences-Shanghai

Amanda Wilkens

Graduation date:  Spring 2021
Research area:  Ergodic Theory and Probability
Thesis title:  Monotone Factor Maps and Finitary Isomorphisms
Thesis advisor:  David Nualart and Terry Soo
First job:  Postdoctoral Instructor, University of Texas, Austin

Wesley Perkins

Graduation date:  Spring 2021
Research area: Partial Differential Equations
Thesis title:  Modulation and Subharmonic Dynamics of Periodic Waves
Thesis advisor:  Mat Johnson
First job:  C.C. Hsiung Visiting Assistant Professor, Lehigh University

Raul Esteban Bolanos Guerrero

Graduation date:  Spring 2021
Research area:  Probability and Stochastic Processes
Thesis title:  Limit Distributions for Skorohod Integrals and Spatial Averages of the Stochastic Wave and Heat Equation
Thesis advisor:  David Nualart
First job:  Professor, Universidad de Costa Rica

Bradley Isom

Graduation date:  Spring 2021
Research area:  Partial Differential Equations
Thesis title:  Growth Bounds and Nonlinear Smoothing for the Periodic Benjamin-Ono and Derivative Nonlinear Schrödinger Equations
Thesis advisor:  Atanas Stefanov and Dionyssios Mantzavinos
First job:  Credit Risk Analyst, T-Mobile, Overland Park, Kansas

Yiying Cheng

Graduation date:  Spring 2021
Research area:  Numerical Analysis
Thesis title:  Mathematical Modeling, Estimation, and Application in Finance
Thesis advisor:  Xuemin Tu and Yaozhong Hu
First job:  Quantitative Analyst, FHLBank Topeka, Kansas

Panqiu Xia

Graduation date:  Summer 2020
Research area:  Stochastic Partial Differential Equations
Thesis title:  Branching Particle Systems, Stochastic Partial Differentiable Equations and Nonlinear Rough Path Analysis
Thesis advisor:  David Nualart and Yaozhong Hu
First job:  Postdoc, University of Copenhagen, Denmark
Website

Seyed Hamidreza Mofidi

Graduation date:  Summer 2020
Research area:  Nonlinear Dynamical Systems/Mathematical Biology
Thesis title:  Electrodiffusion in Ionic Channels via PNP Models
Thesis advisor:  Weishi Liu
First job:  Visiting Assistant Professor, University of Iowa, Iowa City
Website

Justin Lyle

Graduation date:  Spring 2020
Research area:  Commutative Algebra
Thesis title:  Homological Properties of Structures in Commutative Algebra and Algebraic Combinatorics
Thesis advisor:  Hailong Dao
First job:  Visiting Assistant Professor, University of Arkansas, Fayetteville
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Yanhao Cui

Graduation date:  Fall 2019
Research area:  Probability
Thesis title:  A General Stochastic Volatility Model on VIX Options
Thesis advisor:  Terry Soo / Yaozhong Hu
First job:  Financial Analyst, Security Benefit, Topeka, KS

Nicholas Ma

Graduation date:  Fall 2019
Research area:  Probability
Thesis title:  Hermite Variations of the Fractional Brownian Motion and the Stochstic Heat Equation Driven by a Rough Time Fractional Gaussian Noise
Thesis advisor:  David Nualart
First job:  Data Scientist, Cerner Corporation

Satbir Malhi

Graduation date:  Summer 2019
Research area:  Partial Differential Equations
Thesis title:  Optimal Energy Decay for the Damped Klein-Gordon Equation
Thesis advisor:  Milena Stanislavova
First job:  Visiting Assistant Professor, Franklin and Marshall College
Website

Fazel Hadadifard

Graduation date:  Summer 2019
Research area:  Partial Differential Equations/Long-time Behavior
Thesis title:  Sharp time Asymptotics for the Quasi-Geostrophic Equation, the Boussinesq System and Near Plane Waves of Reaction-Diffusion Models
Thesis advisor:  Atanas Stefanov
First job:  Visiting Assistant Professor, Drexel University
 

Ken Duna

Graduation date:  Spring 2019
Research area:  Combinatorics
Thesis title:  Matroid Independence Polytopes and Their Ehrhart Theory
Thesis advisor:  Jeremy Martin
First job:  Lecturer, University of Kansas

Connor Smith

Graduation date:  Spring 2019
Research area:  Partial Differential Equations/Dynamical Systems
Thesis title:  Dynamics of Essentially Unstable Nonlinear Waves
Thesis advisor:  Mat Johnson
First job:  Data Scientist, Lowe's

Yufei Yu

Graduation date:  Spring 2019
Research area:  Numerical Analysis
Thesis title:  An Adaptive Moving Mesh Finite Element Method and Its Applications to Mathematical Models from Physical Sciences and Image Processing
Thesis advisor:  Weizhang Huang
First job:  Quantitative Associate, Wells Fargo

Iurii Posukhovskyi

Graduation date:  Spring 2019
Research area:  Partial Differential Equations
Thesis title:  On the Existence and Stability of Normalized Ground States of the Kawahara, Fourth Order NLS and the Ostrovsky Equations
Thesis advisor:  Atanas Stefanov
First job:  Senior Data Analyst, Home Depot

Avary Kolasinski

Graduation date:  Spring 2019
Research area:  Numerical Analysis/Scientific Computing
Thesis title:  Surface and Bulk Moving Mesh Methods Based on Equidistribution and Alignment
Thesis advisor:  Weizhang Huang
First job:  Postdoctoral Researcher, Lawrence Livermore National Laboratory

Joseph Doolittle

Graduation date:  Spring 2019
Research area:  Combinatorics
Thesis title:  Combinatorics, Geometry and Topology of Polytopal Complexes
Thesis advisor:  Margaret Bayer
First job:  Researcher, Freie Universität Berlin
Website

Brent Holmes

Graduation date:  Fall 2018
Research area:  Commutative Algebra
Thesis title:  Serre's Condition and Depth of Stanley-Reisner Rings
Thesis advisor:  Hailong Dao
First job:  Business Intelligence Analyst 2, YRC Freight

Hee Sun Kim

Graduation date:  Fall 2018
Research area:  Statistics
Thesis title:  Statistical Estimation and University Codes for Context Set Models
Thesis advisor:  Zsolt Talata
First job:  Business Intelligence Analyst 2, YRC Freight

Wen Feng

Graduation date:  Summer 2018
Research area:  Dynamical Systems
Thesis title:  Analytical Studies of Standing Waves in Three NLS Models
Thesis advisor:  Milena Stanislavova
First job:  Visiting Assistant Professor, College of the Holy Cross, Worcester, MA
Current job: Assistant Professor, Niagara University
Website

Bennet Goeckner

Graduation date:  Summer 2018
Research area:  Combinatorics
Thesis title:  Decompositions of Simplicial Complexes
Thesis advisor:  Jeremy Martin
First job:  Assistant Professor at the University of San Diego

Wenjun Ma

Graduation date:  Spring 2018
Research area:  Numerical Analysis
Thesis title:  Particle Filter for Hidden Non-Markovian Models and Block Sampling
Thesis advisor:  Xuemin Tu
First job:  

Kyle Claassen

Graduation date:  Spring 2018
Research area:  Nonlinear Dispersive Equations
Thesis title:  Stability of Periodic Waves in Nonlocal Dispersive Equations
Thesis advisor:  Mathew Johnson
First job:  Assistant Professor, Rose-Hulman Institute of Technology
Website

Arturo Jaramillo Gil

Graduation date:  Spring 2018
Research area:  Probability and Stochastic Processes
Thesis title:  Limit Distributions for Functionals of Gaussian Processes
Thesis advisor:  David Nualart
First job:  Postdoctorate, University of Luxembourg/University of Singapore

Peter Lewis

Graduation date:  Spring 2018
Research area:  Probability and Stochastic Processes
Thesis title:  Regularity of Stochastic Burgers'-Type Equations
Thesis advisor:  David Nualart
First job:  Data Scientist, Commerce Bank, Kansas City, MO

Hongjuan Zhou

Graduation date:  Spring 2018
Research area:  Probability
Thesis title:  Parameter Estimation for Stochastic Differential Equations Driven by Fractional Brownian Motion
Thesis advisor:  David Nualart / Yaozhong Hu
First job:  Professor of Practice, Arizona State University
Website

Bin Wang

Graduation date:  Fall 2017
Research area:  Numerical Analysis
Thesis title:  Balancing Domain Decomposition by Constraints Algorithms for Incompressible Stokes Equations with Nonconforming Finite Element Discretizations
Thesis advisor:  Xuemin Tu
First job:  Visiting Assistant Professor, Hood College

Wei-Da Chen

Graduation date:  Fall 2017
Research area:  Noncommutative Geometry
Thesis title:  Riemannian Geometry on Some Noncommutative Spaces
Thesis advisor:  Albert Sheu
First job: 

Cuong Ngo 

Graduation date:  Spring 2017
Research area:  Numerical Analysis
Thesis title:  Moving Mesh Methods for Numerical Solution of Porous Medium Equations
Thesis advisor:  Weizhang Huang
First job:  Assistant Professor, Bethany College
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Biswajit Rajaguru

Graduation date:  Spring 2017
Research area:  Algebraic Geometry
Thesis title:  Projective Normality for Some Families of Surfaces of General Type
Thesis advisor:  Bangere Purnaprajna
First job:  

Su Chen Kang

Graduation date:  Spring 2017
Research area:  Operator Algebras
Thesis title:  Quantum Families of Maps
Thesis advisor:  Albert Sheu
First job:  

Andrew Steyer

Graduation date: Summer 2016
Research area: Numerical Analysis
Thesis title: A Lyapunov Exponent Based Stability Theory for Ordinary Differential Equation Initial Value Problem Solvers
Thesis advisor: Erik Van Vleck
First job: Postdoctoral Researcher, Sandia National Lab
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Grant Serio

Graduation date: Summer 2016
Research area: Algebra
Thesis title: Multiplicities in Commutative Algebra
Thesis advisor: Dan Katz
First job: Lecturer, University of Kansas
Current job: National Security Agency

Leonard Huang

Graduation date: Spring 2016
Research area: Analysis
Thesis title: Generalized Fixed-Point Algebras for Twisted C*-Dynamical Systems
Thesis advisor: Albert Sheu
First job: Burnett C. Meyer Postdoctoral Instructor, University of Colorado, Boulder
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Chen Su

Graduation date: Spring 2016
Research area: Probability and Numerical Analysis
Thesis title: Some Studies on Parameter Estimations
Thesis advisors: Yaozhong Hu and Xuemin Tu
First job: Quantitative Analyst, Wells Fargo Securities, Charlotte, NC
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Yanghui Liu

Graduation date: Spring 2016
Research area: Probability
Thesis title: Numerical Solutions of Rough Differential Equations and Stochastic Differential Equations
Thesis advisor: David Nualart and Yaozhong Hu
First job: Golomb Visiting Assistant Professor of Mathematics, Purdue University
Website

John Reynolds

Graduation date: Spring 2016
Research area: Topology
Thesis title: Convergence Properties of Hausdorff Closed Spaces
Thesis advisor: Jack Porter
First job: Visiting Assistant Professor, Hendrix College, Conway, AR

Tony Se

Graduation date: Spring 2016
Research area: Algebra
Thesis title: Depth and Associated Primes of Modules Over a Ring
Thesis advisor: Hailong Dao
First job: Visiting Assistant Professor, University of Mississippi

Shalan Alkarni

Graduation date: Spring 2016
Research area: Algebra
Thesis title: Three Dimensional Jacobian Derivations and Divisor Class Groups
Thesis advisor: Jeff Lang
First job: Assistant Professor, King Saud University, Saudi Arabia
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