Recent PhD Graduates


Ritika Nair

Graduation date:  Summer 2024
Research area:  Commutative Algebra
Thesis title: On Properties of Algebraic Structures Related to Simplicial Complexes
Thesis advisor: Hai Long Dao
First job: Postdoctoral Researcher, Oklahoma State University
Website: Link

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

John Portin

Graduation date: Spring 2024
Research area:  Commutative Algebra
Thesis title: Homological and Combinatorial Properties of m-Primary Monomial Ideals
Thesis advisor: Hai Long Dao
First job: 
Website:  Link

Dania Morales

Graduation date: Spring 2024
Research area:  Combinatorics
Thesis title: Matroid Base Polytopes of Lattice Path Matroids & Ehrhart Theory
Thesis advisor: Jeremy Martin
First job: Visiting Assistant Professor at Willamette University

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, 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
Website:  Link

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
Website:  Link

Bhargobjyoti "Bhargob" Saikia

Graduation date:  Summer 2022
Research area:  Stochastic Processes
Thesis title:  Euler Approximation for Stochastic Volterra Equations and a CentralLimit Theorem to a System of Heat Equations
Thesis advisor:  David Nualart
First job:  Data Scientist, John Hancock Financial, Boston, MA
Website:  Link

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
Website:  Link

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
Website:  Link

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:  Link

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
Website: Link

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

Website:Link

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:  

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:  Data Scientist, Credit Risk Management Strategy, T-Mobile, Overland Park, KS

Website:Link

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

Website: Link

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: Link

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

Website: Link

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

Website: Link

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

Website: Link

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

Website:Link

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

Website:Link

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

Website: Link

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: Link

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: Link

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
Website: Link

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

Website: Link

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:  Applied Scientist, Applied Materials, San Francisco

Website: Link

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

Website:Link
 

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

Website: Link

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

Website: Link

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

Website:Link

Iurii "Yura" 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

Website: Link

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

Website: Link

Joseph Doolittle

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

Website:Link

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:  Data Scientist, YRC Freight

Website: Link

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:  Data Scientist, SelectQuote Insurance Services

Website:Link

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
Website: Link

Bennet Goeckner

Graduation date:  Summer 2018
Research area:  Combinatorics
Thesis title:  Decompositions of Simplicial Complexes
Thesis advisor:  Jeremy Martin
First job:  Postdoctoral Scholar/Acting Assistant Professor, University of Washington

Website: Link

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:  Data Science Teaching Assistant/Associate Instructor, NYC Data Science Academy

Website: Link

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, Mathematics, Rose-Hulman Institute of Technology

Website: Link

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

Website: Link

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

Website:Link

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: Link

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

Website: None

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: ACT/SAT & CBSE XII/X-Mathematics Test-Question Creator, Aha Learn-to-Earn, EdTech Arm of WIP Venture DAO

Website: Link

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
Website: Link

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:  Lead Project Coordinator, Kumon UK

Website: Link

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
Website: Link

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

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
Website: Link

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
Website: Link

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: Link

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

Website: Link

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

Website: Link

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
Website: Link