Recent PhD Graduates


Trevor Arrigoni

Graduation date:  Summer 2024

Research area:  Commutative Algebra

Thesis title: F-invariants of certain power series

Thesis advisor: Daniel Hernández

First job: Visiting Assistant Professor, Oberlin College

Website:Link

Abraham Pascoe

Graduation date: Spring 2024

Research area:  Commutative Algebra

Thesis title: Local Cohomology of Subspace Arrangements and Simplicial Homology

Thesis advisor: Emily Witt

First job: Visiting Assistant Professor of Mathematics at William Jewell College

Website:Link

Ruixuan "Ray" Zhang

Graduation date: Spring 2024

Research area: Probability

Thesis title: Conditional Limit Theorems for the KPZ Fixed Point with a Large Height

Thesis advisor: Zhipeng Liu

First job: Postdoctoral Research Associate, C.R. Wiley Instructorship, University of Utah

Website:Link

Majed Eida M Sofiani

Graduation date: Spring 2024

Research area: Partial Differential Equations and Dynamical Systems

Thesis title: On the Full Ericksen-Leslie Model of Nematic Liquid Crystals

Thesis advisor: Geng Chen, Weishi  Liu

First job: Postdoctoral Research Associate, King Abdullah University of Science and Technology (KAUST)

Website:Link

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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