Spring 2021

Monday, April 29, 2021
1:00pm | Virtual Zoom Presentation
Student: Sumanth Reddy Nakkireddy
Advisor: Dr. Erkki Somersalo & Dr. Daniela Calvetti
Title: Bayesian methods for bridging the continuous and electrode data, and layer stripping in electrical impedance tomography

Friday, May 21, 2021
2:00pm | Virtual Zoom Presentation
Student: Rhiannon Griffiths
Advisor: Dr. Nick Gurski
Title: Slices of Globular Operads for Higher Categories:

Wednesday, May 26, 2021
2:00pm | Virtual Zoom Presentation
Student: Kai Yin
Advisor: Dr. Anirban Mondal
Title: Bayesian Uncertainty Quantification for Differential Equation Models Related to Financial Volatility and Disease Transmission:

Summer 2020

Monday, June 29, 2020
12:00pm | Virtual Zoom Presentation
Student: Alex Strang
Advisor: Dr. Peter Thomas
Title: TBA

Friday, July 31, 2020
10:00am | Virtual Zoom Presentation
Student: Troy Clark
Advisor: Dr. David Singer
Title: The Trefoil: An Analysis in Curve Minimization and Spline Theory

Wednesday, August 12, 2020
1:00pm | Virtual Zoom Presentation
Student: Paromita Banerjee
Advisor: Dr. Wojbor Woyczynski
Title: Numerical methods for stochastic differential equations and postintervention in structural equation models

Spring 2020

Tuesday, March 31, 2020
2:30pm | Virtual Zoom Presentation
Student: Victor Glasgo
Advisor: Dr. Elisabeth Werner
Title: Some Structural Results for Convex Bodies: Gravitational Illumination Bodies and Stability of Floating Bodies

Friday, April 17, 2020
2:00pm | Virtual Zoom Presentation
Student: Isaac Oduro
Advisor: Dr. Wojbor Woyczynski
Title: Tempered Double Fractional Diffusion Model for Option Pricing

Tuesday, May 26, 2020
10:00am | Virtual Zoom Presentation
Student: Lindsay Lee
Advisor: Dr. Alethea Barbaro
Title: TBA

Thursday, May 28, 2020
12:00pm | Virtual Zoom Presentation
Student: Eli Rose
Advisor: Dr. Wojbor Woyczynski
Title: On Stochastic Dominance Option Bounds in Discrete and Continuous Space and Time with Stochastic and Deterministic Volatility with Constant Relative Risk Aversion

Fall 2019

Friday, November 22, 2019
1:00 p.m. Yost Hall, Room 107
Student: Robert Volkin
Advisor: Alethea Barbaro
Title: Spherical Solutions for the Radially Symmetric Aggregation Equation: Analysis and a Novel Numerical Method

Summer 2019

Friday, June 14, 2019
10:00 a.m. Yost Hall, Room 306
Student: Gonsalge Almeida
Advisor: Wojbor Woyczynski
Title: Financial Modeling with LE ́VY Processes and Applying LE ́VY Subordinator to Current Stock Data

Monday, June 3, 2019
12:30 p.m. Yost Hall, Room 306
Student: Jessica Redmon
Advisor: Wojbor Woyczynski
Title: Bubble Formation and Behavior in Non-Newtonian Fluids

Spring 2019

Tuesday, March 19, 2019
2:30 p.m. Yost Hall, Room 306
Student: Kathryn Stewart
Advisor: Elizabeth Meckes
Title: On Truncations of Haar Distributed Random Matrices

Summer 2018

Monday, June 18, 2018
10:00 a.m. Yost Hall, Room 306
Student: Richard Lartey
Advisor: Weihong Guo
Title: Analong Image Modeling Based Super Resolution and Application in Multi-spectral Imaging

Spring 2018

Thursday, March 22, 2018
1:00 p.m. Yost Hall, Room 306
Student: Ben Li
Advisors: Elisabeth M. Werner and Stanislaw J. Szarek
Title: Convex Analysis and its application to Quantum Information Theory

Monday, April 2, 2018
2:30 p.m. in Yost Hall, Room 102
Student: Yue Zhang
Advisor: Weihong Guo
Title: Sparse Modeling in Image Processing and Machine Learning: Models and Theories

Spring 2017

Tuesday, March 21, 2017
4:15 p.m. in Yost Hall, Room 306
Student: Thomas Atta-Fosu
Advisor: Weihong Guo
Title: Fourier Based Method for Simultaneous Segmentation and Nonlinear Image Registration

Friday, March 24, 2017
11:00 a.m. in Yost Hall, Room 306
Student: Jamie Prezioso
Advisors: Daniela Calvetti and Erkki Somersalo
Title: An inverse problem of cerebral hemodynamics in the Bayesian framework

Summer 2016

Tuesday, June 28, 2016
11:30 a.m. in Yost 306
Title: Segregation Dynamics Motivated by Territorial Markings: The Transition from a Particle to a Continuum Model
Student: Abdulaziz Alsenafi
Advisor: Alethea Barbaro

Spring 2016

Thursday, March 17, 2016
1:30 p.m. in Yost 306
Title: Sequential Monte Carlo Estimation for Dynamic Brain Imaging In Magnetoencephalography
Student: Lijun Yu
Advisors: Daniela Calvetti and Erkki Somersalo

Friday, March 18, 2016
2:00 p.m. in Yost 306
Title: Bayesian Parameter Estimation and Inference Across Scales
Student: Margaret Callahan
Advisors: Daniela Calvetti and Erkki Somersalo

Thursday, March 24, 2016
10:00 a.m. in Yost 306
Title: Rademacher Sums, Hecke Operators, and Moonshine
Student: Paul Bruno
Advisor: John Duncan

Friday, March 25, 2016
4:00 p.m. in Yost 306
Title: The Surface Area Deviation of the Euclidean Ball and a Polytope
Student: Steven Hoehner
Advisor: Elisabeth Werner

Friday, March 25, 2016
Dissertation Defense Reception
5:30 p.m. in the Faculty/Graduate Student Lounge on the second floor of Yost Hall

The MAMS Department will host a reception to celebrate our PhD students’ successful dissertation defenses, with cake and beverages provided.  All department faculty, students, staff, and visitors are welcome.

Thursday, April 28, 2016
12:00 p.m. in Yost 306
Title: Stratified Worm Burden Approach to Modeling Schistosomiasis Transmission and Control
Student: Nara Yoon
Advisor: David Gurarie

Spring 2014

Monday, March 3, 2014
3:30 p.m. in Yost Hall, Room 306
Student: Joseph Volzer
Advisors: Daniela Calvetti and Erkki Somersalo
Title: An Invariant Embedding Approach to Domain Decomposition

Tuesday, March 4, 2014
4:15 p.m. in Yost Hall, Room 306
Student: Umut Caglar
Advisors: Stanislaw Szarek and Elisabeth Werner
Title: Divergence and Entropy Inequalities for Log Concave Functions

Friday, March 7, 2014
3:00 p.m. in Yost Hall, Room 306
Student: Yougan Cheng
Advisors: Daniela Calvetti and Erkki Somersalo
Title: Computational Models of Brain Energy Metabolism at Different Scales

Thursday, March 20, 2014
4:15 p.m. in Yost Hall, Room 306
Student: Andrea Arnold
Advisors: Daniela Calvetti and Erkki Somersalo
Title: Sequential Monte Carlo Parameter Estimation for Differential Equations

Monday, March 24, 2014
3:30 p.m. in Yost Hall, Room 306
Student: Edrissa Gassama
Advisors: Daniela Calvetti and Erkki Somersalo
Title: Piezoelectric Inverse Problems with Resonance Data: A Sequential Monte Carlo Analysis

Friday, March 28, 2014
2:30 p.m. in Yost Hall, Room 306
Student: Charles Joseph
Advisors: Daniela Calvetti and Erkki Somersalo
Title: Multi-Scale Modeling and Analysis of Options Markets

Master’s Presentations and Defenses

Spring 2021

Friday, April 9, 2021
12:00pm | Virtual Zoom Presentation
Student: Michael Judkovich
Advisor: Dr. Weihong Guo
Title: An Active Contour Approach for 3D Thigh Muscle Segmentation

Monday, April 26, 2021
11:30am | Virtual Zoom Presentation
Student: Kieran Gallagher
Advisor: Dr. Anirban Mondal
Title: Determining Factors Associated with Increased Case Fatality Rate due to COVID-19

Tuesday, April 27, 2021
12:00pm | Virtual Zoom Presentation
Student: Yeshayahu Israeli
Advisor: Dr. Erkki Somersalo
Title: TBA

Summer 2020

Wednesday, July 22, 2020
3:00pm | Virtual Zoom Presentation
Student: Hsing-Duan Louh
Advisor: Dr. Peter Thomas
Title: Parametric Sensitivity in a Model of a Motor Pattern Generator in Aplysia

Spring 2020

Thursday, March 19, 2020
4:30pm | Virtual Zoom Presentation
Student: Stephen Liu
Advisor: Dr. Mark Meckes
Title: On the Asymptotic Behavior of the Magnitude Function for Odd-Dimensional Euclidean Balls

Monday, May 4, 2020
4:00pm | Virtual Zoom Presentation
Student: Yizhuo Wang
Advisor: Dr. Anirban Mondal
Title: Robust and Heterogeneous Clustering Methods with Application to Irish Flower Species

Thursday, May 21, 2020
10:00am | Virtual Zoom Presentation
Student: Hsing-Duan Louh
Advisor: Dr. Peter Thomas
Title: Parametric Sensitivity in a Model Aplysia Motor Pattern Generator

Fall 2019

Monday, November 18, 2019
3:00 p.m. Yost Hall, Room 306
Student: Wuyan Xu
Advisor: Patricia Williamson and Minwoo Chae
Title: Music Recommender System

Monday, December 2, 2019
4:00 p.m. Yost Hall, Room 107
Student: Shengyang Zhang
Advisor: Anirban Mondal
Title: Application of Bayesian Logistic Regression in Predicting Bank Loan Acceptance Rate

Tuesday, December 10, 2019
12:30 p.m. Yost Hall, Room 306
Student: Yawei Zhang
Advisor: Patricia Williamson
Title: Statistical Classification Methods Used in Credit Risk Case

Fall 2018

Monday, December 10, 2018
2:00 p.m. Yost Hall, Room 102
Student: Nicholas Marino
Advisor: Nick Gurski
Title:Vector Bundles and Projective Varieties

Spring 2019

April 3, 2019
11:00 a.m. Yost Hall, Room 306
Student: Hongxu Zhu
Advisor: Minwoo Chae
Title: An R Package for Fitting Dirichlet Process Mixtures of Multivariate Normal Distributions

April 3, 2019
2:15 p.m. Yost Hall, Room 306
Student: Sararose Nassani
Advisor: Wojbor Woyczynski
Title: An Application of Statistical Methods and Random Graphs on Local Heroin Markets

April 3, 2019
4:00 p.m. Yost Hall, Room 306
Student: Alex Balsells
Advisor: Erkki Somersalo
Title: Computational Methods for Radiation Therapy Planning

April 2, 2019
4:00 p.m. Yost Hall, Room 306
Student: Brian Johnson
Advisor: Daniela Calvetti
Title: Mining the Mind: Data Mining Techniques and Their Application to the Study of Meditation

April 1, 2019
4:00 p.m. Yost Hall, Room 306
Student: Abhinivesh Devathi
Advisor: Daniela Calvetti
Title: Uncertainty Quantification for Underdetermined Inverse Problems via Krylov Subspace Iterative Solvers

Wednesday March 27, 2019
2:00 p.m. Yost Hall, Room 306
Student: Xiaohan Li
Advisor: Patricia Williamson
Title: Comparison of Eight Intervals in the Estimation of a Poisson Mean

Tuesday March 26, 2019
2:30 p.m. Yost Hall, Room 306
Student: David Judkovich
Advisor: Mark Meckes
Title: Variations on the Matching Problem

Tuesday March 26, 2019
3:45 p.m. Yost Hall, Room 306
Student: Daniel Kessler
Advisor: Weihong
Title: Tensor Deblurring via Tensor Nuclear Norm and Total Variation

Spring 2018

Tuesday, May 1, 2018
11:00 a.m. in Yost Hall, Room 107
Student: Carrie Winterer
Advisor: Alethea Barbaro
Title: Predicting Twitter Time Series Using Generalized Linear Models

Wednesday, April 4, 2018
2:00 p.m. Yost Hall, Room 306
Student: Xueyi Zhang
Advisor: Anirban Mondal
Title: Enrichment of Heritability Across Several Hypertension Related Traits

Wednesday, March 28, 2018
1:00 p.m. in Yost Hall, Room 306
Student: Xuan Ma
Advisor: Jenny Brynajarsdottir
Title: Photovoltaic Module Performance Study with Data-Driven I-V Feature Extractions and Time Series Analysis

Wednesday, March 28, 2018
3:00 p.m. Yost Hall, Room 306
Student: Nana Ama Baffoe
Advisor: Jenny Brynajarsdottir
Title: Diagnostic Tool of Forecast

Summer 2017

Friday, July 28, 2017
11:00 a.m. in Yost Hall, Room 306
Student: Yukun Song
Advisor: Wojbor Woyczynski
Title: Stochastic Integrals with respect to Tempered alpha-Stable Levy Process

Spring 2017

Wednesday, March 8, 2017
1:30 p.m. in Yost Hall, Room 306
Student: Alexander Cao
Advisor: Peter Thomas
Title: Dimension reduction for stochastic oscillators: Investigating competing generalizations of phase and isochrons

Wednesday, March 22, 2017
2:00 p.m. in Yost Hall, Room 306
Student: Tejas Joshi
Advisor: Wanda Strychalski
Title: Modeling the appendix’s role in C. difficile infection

Friday, March 31, 2017
9:00 a.m. in Yost Hall, Room 306
Student: Youjun Li
Advisor: Anirban Mondal
Title: Bayesian Non-Linear Quantile Regression with Application in Decline Curve Analysis for Petroleum Reservoirs

Friday, March 31, 2017
10:30 a.m. in Yost Hall, Room 306
Student: Yuchen Han
Advisor: Anirban Mondal
Title: Bayesian variable selection using Lasso

Friday, March 31, 2017
2:00 p.m. in Yost Hall, Room 306
Student: James Austrow
Advisor: Wojbor Woyczynski
Title: Conservation Laws Driven by Lévy Stable and Linnik Diffusions: Shock Dissolution and Hausdorff Dimension

Wednesday, April 5, 2017
1:00 p.m. in Yost Hall, Room 306
Student: Wesley Maddox
Advisor: Wojbor Woyczynski
Title: Dependency measures and copulas for multidimensional infinitely divisible distributions

Wednesday, April 5, 2017
2:30 p.m. in Yost Hall, Room 306
Student: Yu Deng
Advisor: Patti Williamson
Title: Data mining: application of clustering method

Thursday, April 27, 2017
2:00 p.m. in Yost Hall, Room 306
Student: Greg Knapp
Advisor: Colin McLarty
Title: Convex Geometry and Minkowski’s Linear Forms Theorem in Elementary Function Arithmetic

Summer 2015

Monday, August 3, 2015
10:00 a.m. in Yost Hall, Room 306
Student: Casey Bennett
Advisor: Peter Thomas
Title: Channel Noise And Firing Irregularity In Hybrid Markov Models Of The Morris-Lecar Neuron

Spring 2015

Wednesday, April 29, 2015
11:00 a.m. in Yost Hall, Room 306
Student: Benjamin Cowen
Advisor: Weihong Guo
Title: Bregman Operator Splitting with Variable Step Size for TGV based Multi-Channel MRI Reconstruction

Spring 2014

Friday, May 16, 2014
1:00 p.m. in Yost Hall, Room 306
Student: Alexey Ilchenko
Advisor: Erkki Somersalo
Title: An Approach to Graph Isomorphism Using Spanning Trees Generated by Breadth First Search

Tuesday, March 25, 2014
3:00 p.m. in Yost Hall, Room 306
Student: Steven Maire
Advisor: David Singer
Title: Inverted Binary Edwards Coordinates (Maire Model of an Elliptic Curve)

Senior Capstone Presentations

Spring 2021

Friday, May 14, 2021
9:30am
Student: Yiqi Chen (Applied Math)
Advisor: Dr. David Gurarie
Title: Disease transmission in connected meta-population systems

Friday, May 14, 2021
10:00am
Student: Audrey Tsoi (Applied Math/Stats)
Advisor: Dr. David Gurarie & Dr. Anirban Mondal
Title: Modelling Covid-19 Transmission on a College Campus

Friday, May 14, 2021
1o:30am
Student: Iris Zhang (Applied Math)
Advisor: Dr. Daniela Calvetti
Title: Applications of Locally Binary Pattern in Genre and Century Classification of Artwork

Friday, May 14, 2021
11:00am
Student: Lin Yang (Math)
Advisor: Dr. David Singer
Title: Polygonal Numbers

Friday, May 14, 2021
11:30am
Student: Zeyang Zhang (Math)
Advisor: Dr. David Singer
Title: Discussion on Properties of Fibonacci Primes Mod M.

Friday, May 14, 2021
1:00pm
Student: Mark Swiler (Applied Math)
Advisor: Dr. Daniela Calvetti
Title: Discussion on Properties of Fibonacci Primes Mod M

Friday, May 14, 2021
1:30pm
Student: Morgan Miller (Applied Math)
Advisor: Dr. Weihong Guo
Title: Magnetic Resonance Image Resolution Enhancement and Denoising

Friday, May 14, 2021
2:00pm
Student: Julia Pelesco (Math-Physics)
Advisor: Dr. Harsh Mathur
Title: A Markov Simulation of Reverse Evolution onTunably Correlated Fitness Landscapes

Wednesday, May 14, 2021
2:30pm | Virtual Zoom Presentation
Student: Marina D.Agostino (Math)
Advisor: Dr. Nick Gurski
Title: Interactions between functors and limits

Wednesday, May 14, 2021
3:00pm | Virtual Zoom Presentation
Student: Benjamin Smith (Math-Physics)
Advisor: Dr. Wojbor Woyczynski
Title: Random Processes in Systems: A Review of Works on Markov Processes

Wednesday, May 14, 2021
3:30pm | Virtual Zoom Presentation
Student: Michele Capovilla-Searle (Math)
Advisor: Dr. David Singer
Title: Hyperbolicity of Select Alternating Knots

Monday, May 17, 2021
2:30pm | Virtual Zoom Presentation
Student: Joseph Laurienzo (Math-Physics)
Advisor: Dr. Erkki Somersalo
Title: Distinguishing meditation styles based on brain activity using self-organizing maps

Monday, May 17, 2021
3:00pm | Virtual Zoom Presentation
Student: Andreas Kowald (Math)
Advisor: Dr. Colin McLarty
Title: Lattices, Logic, and the Lindenbaum Algebra

Spring 2020

Friday, May 1, 2020
1:00pm
Student: Michael Judkovich (Applied Math)
Advisor: Dr. Weihong Guo
Title: Image Feature Separation using Region and edge Based Active Contours

Friday, May 1, 2020
1:30pm
Student: Luke Dotson (Applied Math)
Advisor: Dr. Weihong Guo
Title: Sparsity based Three-Dimensional Image Resolution Enhancement

Friday, May 1, 2020
2:00pm
Student: Shivani Dhingra (Math)
Advisor: Dr. David Singer
Title: A Brief History of the Writing System and Achievements of Babylonian Mathematics

Friday, May 1, 2020
2:30pm
Student: Jacob Olson (Applied Math)
Advisor: Dr. Ulises Fidalgo
Title: Convergent Non-Complete Interpolatory Quadrature Rules

Friday, May 1, 2020
3:00pm
Student: Ern Tan (Applied Math)
Advisor: Dr. Wanda Strychalski
Title: Runge-Kutta-Chebyshev Methods for Stiff Initial Value Problems

Friday, May 1, 2020
3:00pm
Student: Siyu Chen (Applied Math)
Advisor: Dr. Wanda Strychalski
Title: A Finite Difference Method to Solve Poisson’s Equation on Polar Domains

Tuesday, May 5, 2020
12:00pm
Student: Jas Philipoom (Applied Math)
Advisor: Dr. Alethea Barbaro
Title: Simulations for Emotional Contagion Models of Fearful Crowds

Tuesday, May 5, 2020
12:30pm
Student: Xinzhi Zhang (Math)
Advisor: Dr. Elizabeth Meckes
Title: The Kakeya Problem Over Finite Fields

Tuesday, May 5, 2020
1:00pm
Student: Tianyu Chen (Applied Math)
Advisor: Dr. Julia Dobrosotskaya
Title: Neural Networks for Fast Parameter Recovery from Inter-Complete Fourier Domain Measurements in MR

Tuesday, May 5, 2020
1:30pm
Student: Mary McPheeters (Math)
Advisor: Dr. Nick Gurski
Title: Generalizing the Transpose of a Matrix

Tuesday, May 5, 2020
2:00pm
Student: Linfeng Hou (Math)
Advisor: Dr. David Singer
Title: A Walk into Various Forms of Fibonacci Numbers

Tuesday, May 5, 2020
2:30pm
Student: David Hall (Math)
Advisor: Dr. David Singer
Title: Curves, Encryption, and Clean-up: Improvements to the CWRU SAGE Site

Tuesday, May 5, 2020
3:00pm
Student: Jeremy Wall (Math)
Advisor: Dr. Joel Langer
Title: Foliations of the Real Projective Plane by Pencils of Cubics 

Fall 2019

Monday, December 9, 2019
3:00 p.m. Yost Hall, Room 306
Student: Haoyuan Zhou
Advisor: Patricia Williamson
Title: Analysis on Contributing Factors of Movies’ Box Office Revenue

Monday, December 9, 2019
3:00 p.m. Yost Hall, Room 306
Student: Junqiao Feng
Advisor: Patricia Williamson
Title: Does Race Play a Determining Factor in College Admission?

Monday, December 9, 2019
3:00 p.m. Yost Hall, Room 306
Student: Sierra Vo
Advisor: Patricia Williamson
Title: Ependymoma Incidence and Survival in the Adult and Pediatric United States Population from 2005-2016 Using the Central Brain Registry of the United States

Fall 2018

Wednesday December 12, 2018
10:00 a.m.
Student: Sabrina Yang
Advisor: Patricia Williamson
Title: Abalone Alone – Age Predicition of Abalone

Wednesday December 12, 2018
10:00 a.m.
Student: Roman Kouznetsov
Advisor: Patricia Williamson
Title: NASCIC Survey Analysis of SCI Patients

Wednesday December 12, 2018
10:00 a.m.
Student: Alexa Simoneau
Advisor: Patricia Williamson
Title: Examining Mergers

Wednesday December 12, 2018
10:00 a.m.
Student: Wanning Li
Advisor: Patricia Williamson
Title: Applying the Poisson Distribution to the Realistic Problems

Spring 2019

Wednesday May 8, 2019
1:30 p.m.
Student: Chenji Hui
Advisor: Danhong Song
Title: Heart Disease Prediction

Thursday May 9, 2019
1:00 p.m.
Student: Xinyuan Gao
Advisor: Danhong Song
Title: A Case Study of Washington Real Estate Sales

Wednesday May 8, 2019
12:00 p.m.
Student: Pratyusha Sambaru
Advisor: Wojbor Woyczynski
Title: Exotic Option Pricing Using Black Scholes

Wednesday May 8, 2019
1:00 p.m.
Student: Tongxu Sun
Advisor: Wanda Strychalski
Title: A Finite Difference Method for Solving the Diffusion

Wednesday May 8, 2019
12:00 p.m.
Student: Zezhou Long
Advisor: Joel Langer
Title: Tree and Graph Plots of MAMS Department Genealogy and Collaborations

Wednesday May 8, 2019
11:30 a.m.
Student: Fabio Capovilla-Searle
Advisor: Joel Langer
Title: Indices of Pencil Singularities in the Projective

Wednesday May 8, 2019
11:00 a.m.
Student: Raul Arturo Henandez Gonzalez
Advisor: Joel Langer
Title: Skeletons of Generic Polynomials and Rational Maps

Wednesday May 8, 2019
10:30 a.m.
Student: Jorge Prendes
Advisor: Joel Langer
Title: The Platonic Belyi Maps of Felix Klein

Friday May 3, 2019
3:00 p.m.
Student: Xin Hu
Advisor: Anirban Mondal
Title: Red Wine Quality Prediction Using Logistic Regression and Machine Learning Methods

Wednesday May 1, 2019
2:00 p.m.
Student: Rachel Boedicker
Advisor: Erkki Somersalo
Title: Synthetic Aperture Radar

Wednesday May 1, 2019
1:30 p.m.
Student: Runtian Miao
Advisor: Wojbor Woyczynski
Title: Option Pricing

Wednesday May 1, 2019
1:00 p.m.
Student: Shannon Carroll
Advisor: Patricia Williamson
Title: General Linear Model for Predicting Violent Crimes in the United States

Wednesday May 1, 2019
12:30 p.m.
Student: Chelsy Xia
Advisor: Elizabeth Sell
Title: The p-adic Numbers and Irreducibility of Polynomials over Q

Wednesday May 1, 2019
12:00 p.m.
Student: Christine Li
Advisor: Elizabeth Sell
Title: Resolution of Plan Curve and Surface Singularities by Blowing Up

Wednesday May 1, 2019
11:30 a.m.
Student: David Tyler
Advisor: Nick Gurski
Title: Classification of Complex Simple Lie Algebras

Wednesday May 1, 2019
11:00 a.m.
Student: Stephen Liu
Advisor: Mark Meckes
Title: The Magnitude of a Finite Metric Space

Tuesday April 30, 2019
1:00 p.m.
Student: Daniel Kim
Advisor: Patricia Williamson
Title: League of Legend’s SK Telecom T1 2016: Model Building Process Using Generalized Logistic Model to Predict a Game Result at 20 Minutes

Tuesday April 30, 2019
1:30 p.m.
Student: Weiran Zhang
Advisor: Patricia Williamson
Title: Second-hand Housing Price in Beijing Nowadays and Its Determinants

Monday April 29, 2019
3:00 p.m.
Student: Zhihao Huang
Advisor: Patricia Williamson
Title: Survival Analysis and its Application on Chronic Granulomatous Disease Data

Monday April 29, 2019
3:30 p.m.
Student: Zhanchao Ye
Advisor: Patricia Williamson
Title: Predicting Eastern Champion of Eastern NBA Teams Based on Regression Analysis of Common Basketball Statistics

Thursday March 28, 2019
10:00 a.m.
Student: Roland Baumann
Advisor:
Title: Understanding Totally Symmetric and Medial Quasigroups by a Study of Latin Squares and their Isotopes

Thursday March 28, 2019
10:30 a.m.
Student: Jacob Rosales Chase
Advisor:
Title: Lenses and Yoneda: A Peek Into Functional Structures Through a Categorical Lens

Summer 2018

Wednesday August 14, 2018
3:00 p.m. Yost Hall, Room 306
Student: Zhitao Jia
Advisor: Anirban Mondal
Title: A Linear Regression Practice

Spring 2018

Tuesday May 8, 2018
12:00 p.m. Yost Hall, Room 306
Student: Rener Zhang (Statistics)
Advisor: Danhong Song
Title: A Study in Road Condition and Weather Factors

Wednesday May 2, 2018
1:00 p.m. Yost Hall, Room 306
Student: Andrew Taranto (Statistics)
Advisor: Patricia Williamson
Title: The Oldest Line in a Coach’s Book

Wednesday May 2, 2018
1:00 p.m. Yost Hall, Room 306
Student: Jaclyn Warden (Statistics)
Advisor: Patricia Williamson
Title: Boston Housing Data Analysis

Wednesday May 2, 2018
1:00 p.m. Yost Hall, Room 306
Student: Alexander Bechler (Statistics)
Advisor: Patricia Williamson
Title: Expansions of the Phillips Curve Hypothesis

Tuesday May 1, 2018
2:45 p.m. Yost Hall, Room 306
Student: Nicholas Marino (Mathematics)
Advisor: Nick Gurski
Title: Projective Curves, Finite Fields, and Zeta Functions

Tuesday May 1, 2018
2:00 p.m. Yost Hall, Room 306
Student: Heather Weaver (Mathematics)
Advisor: Nick Gurski
Title: The Tarski-Seidenberg Theorem in Real Algebraic Geometry

Tuesday May 1, 2018
1:00 p.m. Yost Hall, Room 306
Student: Emily Schnittman (Applied Mathematics)
Advisor: Daniela Calvetti
Title: Diffusion Maps and Data Mining

Tuesday May 1, 2018
12:30 p.m. Yost Hall, Room 306
Student: Greg Hessler (Applied Mathematics)
Advisor: Peter Thomas
Title: Information-Theoretic Analysis of Biological Signal Transduction in the Linear Regime

Tuesday May 1, 2018
12:00 p.m. Yost Hall, Room 306
Student: Nick Barendregt (Applied Mathematics)
Advisor: Peter Thomas
Title: Heteroclinic Cycling in Discrete Stochastic Population Models

Tuesday May 1, 2018
11:00 a.m. Yost Hall, Room 306
Student: Yuta Hozumi (Applied Mathematics)
Advisor: Erkki Somersalo
Title: Reconstructing Molecular Structures from Cryoelectron Microscopy Data

Tuesday May 1, 2018
10:30 a.m. Yost Hall, Room 306
Student: Karina Husodo (Applied Mathematics)
Advisor: Wojbor Woyczynski
Title: Statistical Inference for Heavy-Tailed Distributions

Tuesday May 1, 2018
10:00 a.m. Yost Hall, Room 306
Student: Michael Novet (Mathematics)
Advisor: Mark Meckes
Title: Analysis of Optimal Stregies in Penney’s Game

Monday April 30, 2018
3:00 p.m. Yost Hall, Room 306
Student: David Judkovich (Mathematics)
Advisor: Elizabeth Meckes
Title: Stein’s Method and Approximate Matching

Monday April 30, 2018
3:00 p.m. Yost Hall, Room 306
Student: Tianyue Liu (Mathematics)
Advisor: Elizabeth Meckes
Title: Large Deviation Principle of Random Matrices’ Eigenvalues

Monday April 30, 2018
5:30 p.m. Yost Hall, Room 102
Student: Yiting Cao (Mathematics)
Advisor: Elizabeth Meckes
Title: Mean Width of Convex Bodies

Friday April 27, 2018
2:00 p.m. Yost Hall, Room 306
Student: Ondrej Maxian (Applied Mathematics)
Advisor: Wanda Strychalski
Title: A Continuous Energy Based Immersed Boundary Method with Improved Accuracy and Applications

Spring 2017 (Full itinerary here)

Tuesday, May 2, 2017
1:30 p.m. in Yost Hall, Room 306
Student: Dayang Fang
Advisor: Patti Williamson
Title: The Analysis of multivariate linear model of Chinese real estate price

Abstract:There are several factors playing a critical role in impacting real estate price of China’s large cities. These factors include GDP, population, immigration, mileage of Urban Rail Transit facilities, average saving of a person, and average consumption of a person. Using data on these factors and data of housing prices, this study constructs a multivariable linear model to evaluate the effect of these variables on housing quantitatively and graphically. For example, a correlation test reveals significant correlations between housing price and these factors and a scatterplot reveals the linear relationship between housing price and these factors. I also use extra sums of squares in Tests for regression Coefficients to see whether some coefficients can or cannot be dropped from the linear model.

 

Tuesday, May 2, 2017
2:00 p.m. in Yost Hall, Room 306
Student: Jacob Caprara
Advisor: Patti Williamson
Title: Building a Predictive Model for Ohio Election Turnout

Abstract: Election turnout varies over a wide range both year to year and from county to county in the state of Ohio. An analysis was run on each of Ohio’s 88 counties with eight different factors to discover their effect on election turnout over the last twenty years. These factors include previous turnout, unemployment, population density, minority population, income, education level, partisanship in the previous Presidential election, and the poverty level. Analysis was performed using multiple linear regression and principal component analysis using Excel to organize the data and R to run the analyses.

 

Thursday, May 4, 2017
2:00 p.m. in Yost Hall, Room 306

Student: Isabelle Wagner
Advisor: Jenny Brynjarsdottir
Title: Salaries of NFL Quarterbacks.

Abstract: I’ll discuss the variables used in the analysis of their salaries and some basic visualizations showing how they relate to it. Next I’ll show the multiple regression model including all of the variables and analyze how good of a model this is for predicting salary. Then, I’ll discuss modifications made to the model to improve its accuracy in prediction. Finally, I’ll explain the conclusions I was able to come to from this project.

Student: Thomas Nolan
Advisor: Jenny Brynjarsdottir
Title: Modeling the NCAA Basketball Tournament Selection Process

Abstract: The NCAA Division I Men’s Basketball Tournament is one of the most watched annual sporting events in the United States, and one important aspect of the event is the selection and seedings of the teams participating in the tournament. The goal of this study is to use statistical modeling to mimic the thought-process of the Selection Committee to accurately predict the 68 participants of the NCAA Tournament and their seeds. The best model for predicting at-large teams receiving bids is one that has the highest accuracy of correctly selecting the teams. The best model for determining seeding is one that minimizes the mean square error of the predicted seed compared to the actual seed. In this paper, I will give a more detailed background of the NCAA Tournament selection process, the data and variables that are likely to be used by the Selection Committee, and the modeling process and prediction results.
Student: Adam Thompson
Advisor: Anirban Mondal
Title: Analysis of Relevant Factors in Survival Rates of Breast Cancer Patients

Abstract: This presentation deals with the survival rates of breast cancer patients on various factors. This was achieved by obtaining from a German Breast Cancer study and assessing the data in order to create relevant models for the data. Model diagnostics and validation were carried out in order to determine the best model from assessment for the data. The resulting model details some key factors in the survival rates of breast cancer patients.

Fall 2016

Wednesday, Dec. 7, 2016
1:45 p.m. in Yost 306
Student: Yiru Zhong
Advisor: Danhong Song

Title: Familywise Discovery Rate and False Discovery Rate

Abstract: This project compares the Bonferroni correction, which controls family-wise discovery rate (FWER) in multiple testing and the Benjamini-Hochberg procedure (BH method), which controls false discovery rate (FDR). The goal of this project is to look at the cons of FWER and reasons for FDR’s growing popularity. As this project goes on, different distributions of p-values under two conditions, all nulls are true, and not all nulls are true, are studied. This will affect the ways to choose the upper bound q when using BH method.

Wednesday, Dec. 7, 2016
2:15 p.m. in Yost 306
Student: Enyi Lian
Advisor: Jenný Brynjarsdóttir

Title: Spatial Analysis About Soil Moisture

Abstract: This senior project applied methods from spatial statistics to analysis spatial relationship about soil moisture between two random locations in each block. Data is collected from University Farm. The presentation will show some basic ideas used in spatial analysis, such as variogram and kriging.

Monday, Dec. 12, 2016
1:00-3:30 p.m. in Yost 306

Student: Grace Cammarn
Advisor: Patti Williamson

Title:  Assessing the Public Health of 50 U.S. Cities

Abstract:  In April 2016, the Aetna Foundation announced the start of the Healthiest Cities & Counties Challenge. In the Challenge, 50 cities and counties would be competing to improve the public health of their targeted areas. I will simulate the Healthiest Cities & Counties Challenge by selecting 50 random U.S. cities and comparing different public health metrics in order to determine what factors lead to healthier cities. Public health, the science of protecting and improving the health of communities through policies and the promotion of at-home healthy lifestyles is not an easy thing to measure. There is no single index or measure that indicates the overall health of a community. Public health metrics must cover areas of personal health behaviors, the built environment, socio-economic factors, community safety, and other environmental exposures. My simulation revealed that at present, there is not a robust data source that would allow the public health of different U.S. cities to be accurately compared. I will recommend that publicly available public health data be used on a region-by-region basis, not as comparison metrics. I will also recommend that U.S. census procedures inquire about more public health related topics.

Student: Jenna Ehrle
Advisor: Patti Williamson

Title:  Women’s Rights and Economic Performance

Abstract: This project analyzes a merged data set of levels of women’s rights in different countries in 2014 from the Organization for Economic Co-operation and Development and GDP per capita of different countries in the years 2005-2015 from The World Bank. The goal of this project is to explore the connection between women’s rights and economic performance and development, hopefully to find that higher levels of women’s rights have a positive effect on economic performance. This project utilizes the application of exploratory data analysis, linear regression, and additional data analysis techniques.

Student: Yinger Fan
Advisor: Patti Williamson

Title: Investigation on the Correlations between HIV, Literacy Rate, and Socioeconomic Status

Abstract:  Simple regression models and chi-square tests were used to investigate the relationships between HIV, literacy rate, and socioeconomic status. Data are collected from demographic and health surveys, EFA global reports, AIDS indicator surveys, and ready-made research on wealth and poverty linking to HIV in Africa. R software was used in the analysis. The relationship between literacy rate and HIV prevalence in several African countries was investigated by using simple linear regression. The relationship between socioeconomic status and HIV prevalence in 12 African countries was investigated using the chi-square test.

Thursday, Dec. 15, 2016
11:00 a.m. in Yost 306
Student: John Kaushagen
Advisors: Wanda Strychalski and Longhua Zhao

Title: A Numerical Investigation of Lagrangian Coherent Structures in Fluid Flow

Abstract: Lagrangian Coherent Structures are useful for determining the behavior of dynamical systems, and in particular they are useful for separating fluid flow into distinct regions. LCS has been used to study flow patterns in blood flow, flow past an airfoil, and ocean currents. However, rigorous numerical testing and validation of existing software packages, such FlowVC is lacking. In this work, we test the numerical convergence of the numerical methods used in the FlowVC software to determine LCS. We perform various convergence tests to determine the validity of data output used to defined the coherent structures. Specifically we test the following incompressible velocity fields: uniform fluid flow, vortex flow, double gyre flow, and flow past a sphere. Results show that the methods do not converge due to large numerical error on the boundary. Therefore, we recommend using LCS on a smaller domain away from the physical boundary of the system where we show first convergence in space can be achieved.

11:30 a.m. in Yost 306
Student: Tong Zhao
Advisor: Mark Meckes

Title: Two characterizations of inverse-positive matrices

Abstract: A matrix M is called inverse-positive if M is non-singular and the inverse of M has all non-negative entries. I will talk about two characterizations of inverse-positive matrices and examples of them.

 

Spring 2016

Tuesday, March 29, 2016
4:15 p.m. in Yost Hall, Room 343
Student: Yu Peng
Advisor: Erkki Somersalo

Title: Independent Component Analysis

Abstract: Independent Component Analysis (ICA) is a powerful computational tool for separating independently generated signals from each other based on a multi-channel registration of the mixed signal. The classic example is the cocktail party problem, in which the goal is to separate several simultaneous speakers from each other. ICA is widely used, e.g., in medical applications such as electroencephalography (EEG) to discern the different brain signals from the noisy registration. The talk reviews the basic idea behind the ICA.

Monday, April 25, 2016
1:00 p.m. in Yost Hall, Room 306
Student: Margo J. Suryanaga
Advisor: Wanda Strychalski

Title: A Comparison of Public Market Equivalent Calculations

Abstract: Generally, the Private Equity industry calculates Internal Rates of Return (IRR) and Market Multiples to weigh the performance of an investment or fund. However, while these calculations can be used to compare between private investments, it cannot be used to compare private investments with other asset classes, requiring the calculation of a public market equivalent. A public market equivalent (PME) acts as a measure of the performance of a private equity fund by comparing it against a benchmark in the public market (in our case the S&P500). While several methods have been created to calculate PMEs have been found, we will take a closer look at three methods of calculating PME: Long-Nickels method, Kaplan-Schoar method, and Direct Alpha method. We will look at how each equation and/or algorithm to calculate PME affects its ability to accurately depict the performance of an investment. We will also look at using these methods to then determine the best one among the three to be a basis for a predictive model.

MATH 352 Senior Capstone Presentation Session
Wednesday, April 27, 2016
9:00 a.m.-3:15 p.m. in Yost Hall, Room 306
Organizer: Joel Langer
See here for the itinerary.

Thursday, April 28, 2016
3:00 p.m. in Yost Hall, Room 306
Student: James Matthiesen
Advisor: Danhong Song

Title: Finding Bestsellers? An Application of Data Analysis with Open Source Data

Abstract: This project analyzes a historical data set containing the daily top 100 bestselling shoe products on amazon.com over a 2-and-a-half-year period. The project goal is to identify characteristics which may be indicative of successful products, success being defined as the amount of days a product is listed in the top 100 bestsellers, and to attempt to predict the amount of days a product will appear on the best sellers list. This project will showcase the practical application of data analysis techniques such as linear regression, principal components analysis, Poisson regression, time series analysis, and exploratory data analysis among other techniques.

Fall 2015

Tuesday, December 15, 2015
4:00 p.m. in Yost Hall, Room 306
Student: Kirk Walford
Advisor: Patti Williamson
Title: A Titanic Analysis

Abstract: The RMS Titanic sank in 1912, what can we still learn from it today?  This talk will discuss the steps, process and outcome of using R to create a predictive model.  This model will be used to predict the “survivability” of individuals based off of key characteristics.  This talk will also discuss how creating a predictive model is useful in other catastrophic situations.

Summer 2015

Tuesday, August 4, 2015
2:00 p.m. in Yost Hall, Room 306
Student: Tyler Aust
Advisor: Wojbor Woyczynski
Title: Stabilization of Rotor-Dynamic Vibrations by Means of Additive, Stochastic Noise

Spring 2015

Tuesday, May 5, 2015
4:00 p.m. in Yost Hall, Room 306
Student: Feng Jin
Advisor: Danhong Song
Title: Overdispersion of Regression Models

Thursday, May 7, 2015
12:30 p.m. in Yost Hall, Room 306
Student: Zhengyi Liu
Advisor: Steven Izen
Title: Parameter Determination for a Channelized Hotelling Detectability Experiment

Fall 2014

Wednesday, December 10, 2014
3:00 p.m. in Yost Hall, Room 306
Student:  Alexander Katz
Title:  CRAPS, can you win?

Abstract: I investigated the game of Craps because I enjoy gambling and I have been successful playing Craps at casinos. While at the casino, I have done some mental math and found some parts of the game to have good odds. However, I had never done any of the hard mathematics. This project allowed me the opportunity to research something that I enjoy and to see whether or not it was possible to make money. In order to figure out the odds of each game and to see if it was possible to make a profit, I used an assortment of different probability techniques. This included anything as simple as figuring out the chance that a two will roll next to the probability of a seven coming before a ten given that a ten has already been rolled.

Spring 2014

Tuesday, April 29, 2014
12:00 p.m. in Yost Hall, Room 101
Student: Ivana Mikic
Advisor: Patricia Williamson
Title: The Cost of College: A Statistical Analysis of Which University Characteristics Matter for Tuition Rates

Abstract: The cost of attending a private university in America has become a financial burden for many degree-seeking students. Some private colleges, however, have much higher price tags than others. Our question of interest pertains to what factors influence tuition rates at private universities in America. Do the universities with similar tuition rates also share some similar qualities? Given certain publicly available characteristics of a university, can we fit a linear regression model that allows us to predict that university’s “correct” tuition rate with a rather high degree of accuracy? In this talk, I describe the process I took in an attempt to seek answers to these questions through a statistical analysis.

 

Friday, May 2, 2014
2:00 p.m. in Yost Hall, Room 112
Student: Zhouyang Zhang
Advisor: John Duncan
Title: Some Worked Examples for a Conjecture on Twisted Generalized Borcherds Lift

Abstract: In 2010, Eguchi, Ooguri and Tachikawa discovered an incredible and mysterious connection between the Mathieu group M24 and K3 surfaces. In 2012, Cheng, Duncan and Harvey further related moonshine to certain mock theta functions discovered by Ramanujan. In this project, by using the data from the paper “Umbral Moonshine and the Niemeier Lattices”, we found evidence that for a Niemeier root system X and its corresponding vector valued weak harmonic Maass form, a conjectural generalization the Borcherds lift (for a given admissible pair) coincides with a rational function in an eta product defined by the Coxeter element of X. This project contains five examples from two root systems with discriminants of different class numbers. These examples provide interesting data for understanding the hidden, mysterious nature of moonshine.

 

Monday, May 5, 2014
4:30 p.m. in Yost Hall, Room 306
Student: Yulei Wang
Advisor: Danhong Song
Title: A Study of Simpson’s Paradox

Abstract: Simpson’s Paradox may lead to intuitive but invalid conclusion on the correlation between variables. For this talk, I will describe how I applied the existing contingency table approach to analysis the paradox under a real world paradoxical data – Economic Recession: 1982 vs.2009. The study also includes an attempt to summarize the conditions of conditional probabilities, based on which I can construct my own paradoxical data. Finally, to compare the accuracies of the Chi-square and B-square tests in determining the measure of association between two variables, a simulation process is used.

 

Thursday, May 8, 2014
1:30 p.m. in Yost Hall, Room 102
Student: Michelle Bergeron
Advisor: John Duncan
Title: Matrix Actions on Bivariate Polynomials

Abstract: Using a matrix action, matrices in the group SL 2 mod n can act on homogenous polynomials in two variables. We find homogenous (bivariate) polynomials of any given degree are closed under the matrix action, and that the mappings from a polynomial to the result of the action on it lay the foundation for certain patterns that we describe.

 

Thursday, May 8, 2014
2:30 p.m. in Yost Hall, Room 102
Student: Christopher Parker
Advisor: David Singer
Title: Lattice-Based Digital Signature Schemes: An Overview and Improvement

Abstract: With the prospect of quantum computers on the horizon, the most widely used cryptosystems may soon be rendered obsolete. A possible solution is lattice-based cryptosystems, for which there are no known quantum attacks. Signature schemes based on the hardness of lattice problems are theoretically very efficient and secure, although a large key size is required to make lattice reduction attacks infeasible in practice. I focus on lattice-based signature schemes, their development over the past two decades and a modern one-time signature scheme due to Micciancio and Lubyshevsky (and I give a basic improvement of the scheme using Merkle Trees).

 

Friday, May 16, 2014
2:00 p.m. in Yost Hall, Room 102
Student: Brendan Dosch
Advisor: John Duncan
Title: The Golay Code C24 and the M24 – E8 Connection

Abstract: There is a known correspondence between a particular set of conjugacy classes of the group M24 and the nodes of the affine Dynkin diagram arising from the E8 lattice. More specifically, the nine conjugacy classes of M24 that arise as compositions of two 2A class involutions correspond to the nine nodes of the affine E8 diagram. As M24 is known to be the automorphism group of the extended binary Golay code C24, we investigate how this correspondence appears in the context of C24. Namely, we attach to each 2A involution of M24 a unique subcode of C24 isomorphic to the extended binary Hamming code H8. We then characterize the relationship between any two 2A involutions and the corresponding copies of H8 and relate these pairs of H8 copies to the nodes of the affine E8 diagram.