College of the Holy Cross
Department of Mathematics and Computer Science

• Lindsay Marjanski, Fall 2023-Spring 2024, Departmental Honors Thesis (SR), Network Analysis of Face Recognition EEG Data, Advisor
  
  
• Grace Cerrato, Spring 2024, Directed Project (SR), Assessing the Impact of Traumatic Brain Injuries on Neurodegenerative Disease Onset: Insights from Single-Cell RNA Sequencing Data Analysis, Advisor
  
  
• Minxuan He, Spring 2024, Directed Project (SR), Optimizing Warehouse Operations: Single Robot Navigation and Future Multi-Agent Coordination, Advisor
  
  
• Zihui Weng, Summer 2023 (SR), Functional Communities in EEG Data from a Face Recognition Task, Advisor
  
  
• Zhaoqi Wu, Summer 2023 (SR), Topological Data Analysis on Butterfly Images, Advisor
  
  
• Zikuan Zhu, Summer 2023 (SR), An Interpretation of the Solow Growth Model with Persistence Diagram, Advisor
  
  
• Thomas Yacovone, Spring 2023, Directed Reading, Algebraic Topology, Advisor
  
  
• Zihui Weng, Spring 2023, Directed Project (SR), Topics in Network Analysis, Advisor
  
  
• Zihui Weng, Fall 2022, Directed Project (SR), Computational Network Theory, Advisor
  
  
• Lindsay Marjanski, Fall 2022, Directed Project (SR), Computational Topology, Advisor
  
  
• Sarah Vermette, Fall 2021-Spring 2022, Departmental Honors Thesis (SR), Discourse Sheaves to Model Opinion Dynamics on Watts-Strogatz Networks, Advisor
  
  
• MaryClare Martin, Spring 2022, Directed Project (SR), Topology of Transfer Learning, Advisor
  
  
• Thomas Yacovone, Fall 2021, Directed Reading, Numerical Linear Algebra, Advisor
  
  
• Sarah Vermette, Summer 2021 (SR), Discourse Sheaves to Model Opinion Dynamics on Watts-Strogatz Networks, Advisor
  
  
• Daniel Rodden, Summer 2021 (SR), Topological Diagrams Distinguish Subtypes of Cancer, Advisor
  
  
• Amber Wu, Fall 2020-Spring 2021, Departmental and College Honors Thesis (SR), Topological Data Analysis in an Economic Context: Property Tax Maps, Advisor
  
  
• Emily Devine, Fall 2020-Spring 2021, Departmental Honors Thesis (SR), Understanding Behavioral Synchrony Differences in the Functional EEG Networks in Adolescents with Autism Spectrum Disorder, co-Advisor, with Prof. Richard Schmidt, Psychology.
  
  
• Daniel Rodden, Spring 2021, Directed Project (SR), Topological Data Analysis for Genomics , Advisor
  
  
• Isabella Giaquinta, Spring 2021, Directed Project (SR), Pandemic Modeling, Advisor
  
  
• Matthew Sexton, Sarah Vermette, Thomas Yacovone, Directed Reading, Mathematical Statistics, Advisor
  
  
• Phoebe Cheng, Fall 2020, Directed Project, Departmental Honors (SR), Understanding the Transfer Learning of Convolutional Neural Networks (CNNs) with Mapper, Advisor
  
  
• Max Watson, Fall 2020, Directed Project (SR), Topology of Gravity Waves, Advisor
  
  
• Mike Ding, Summer 2020 (SR), Euler Characteristic Transform and 3D Image Analysis, Advisor
  
  
• MaryClare Martin, Summer 2020, (SR) Machine Learning in Python, Advisor
  
  
• Max Watson, Summer 2020 (SR), Pattern Detection with Persistence Images, Advisor
  
  
• Amber Wu, Summer 2020 (SR), Topological Data Analysis of Geographic Networks, Advisor
  
  
• Emily Devine, Spring 2020 (SR), Directed Project, Computational Neuroscience, Advisor
  
  
• Jinghan Chen, Fall 2019-Spring 2020, Departmental Honors Thesis (SR), Persistent Homology in Ballistic Deposition Simulation Models, Advisor
  
  
• Emily Devine, Summer 2019 (SR), Understanding Behavioral Synchrony in Adolescents with Autism Spectrum Disorder using Functional EEG Networks, Advisor
  
  
• Patrycja Przewoznik, Summer 2019 (SR), Structural Analysis of Force Chains within Communities of Particles, Advisor
  
  
• Sarah McGuire, Fall 2018-Spring 2019, Departmental Honors Thesis (SR), Functional EEG Networks: Understanding Behavioral Synchrony Differences in Adolescents in the Autism Spectrum Disorder, Advisor, with Prof. Richard Schmidt, Psychology.
  
  
• Michael Marlett, Fall 2018-Spring 2019, Departmental Honors Thesis (SR), Topology and Convolutional Neural Networks Applied to Retinal Disease, Advisor
  
  
• Jinghan Chen, Spring 2019. Directed Reading (SR), Random Walks in Topology, Advisor
  
  
• Allison Sullivan, Fall 2018--Spring 2019. Directed Project (SR), Topological Modeling of Force Networks in Simulated Granular Materials , Advisor
  
  
• Sarah McGuire, Summer 2018 (SR), Behavioral Synchrony and Functional EEG Networks, Advisor, with Prof. Richard Schmidt, Psychology.
  
  
• Michael Marlett, Summer 2018 (SR), Macular Degeneration Classification Through Topology and Convolutional Neural Networks, Advisor
  
  
• Kate Heenan, Spring 2018. Mathematics Honors Thesis (SR), A Topological and Graphical Approach to Analyzing Ballistic Deposition Models, Advisor
  
  
• Lucca Eloy, Spring 2018, Computer Science Honors Thesis (SR), <\em> A Computational Model of Heading and Object Detection Using Real World Scenes, Reader.
  
  
• Michelle Yu, Spring 2018, Mathematics Honors Thesis (SR), Detecting Climate Change Points, Reader.
  
  
• Allison Sullivan, Fall 2017--Spring 2018. Directed Project (SR), Community Topology 1,2}, Advisor
  
  
• Anna Hulsemann, Spring. Directed Reading, Real and Abstract Analysis 1, Advisor
  
  
• Anna Hulsemann, Fall 2017. Directed Reading (SR), Connectome Topology, Advisor
  
  
• Kate Heenan, Summer 2017 (SR), Ballistic deposition: graph theory, the Laplace matrix & eigenvalue analysis, Advisor
  
  
• Sarah McGuire, Summer 2017 (SR), EEG and Behavioral Synchrony, Advisor with Prof. Richard Schmidt, Psychology.
  
  
• Ally Sullivan, Summer 2017 (SR), Topological Modeling of Force Networks in Granular Material, Advisor
  
  
• Katie Heenan, Fall 2016-Spring 2017, Directed Project (SR), Ballistic Deposition 1, 2. Advisor
  
  
• Sarah Tymochko, Fall 2016-Spring 2017, Departmental Honors Thesis (SR), Topological Data Analysis of Retinal Vasculature , Advisor
  
  
• Emily Winn, Fall 2016-Spring 2017, Departmental Honors Thesis (SR), Topological Modeling of Force Networks in Granular Materials, Advisor
  
  
• Kate Heenan, Summer 2016 (SR), Topological Data Analysis of Ballistic Deposition Models, Advisor
  
  
• Emily Winn, Summer 2016 (SR), Topological Modeling of Force Networks in Granular Materials, Advisor
  
  
• Sarah Tymochko, Spring 2016, Directed Project (SR) Modeling with Topology 2, Advisor
  
  
• Brian Toner and Sarah Tymochko, Fall 2015, Directed Project (SR), Modeling with Topology 1, Advisor
  
  
• Brian Toner and Sarah Tymochko, Summer 2015 (SR), In-111 Uptake in SPECT Images of Murine Tumors with Varying Antigen Expression: A Topological Approach, Advisor
  
  
• Melissa R. McGuirl, Fall 2014-Spring 2015, Departmental and College Honors Thesis (SR), A Topological Analysis of Targeted In-111 Uptake in SPECT Images of Mouse Tumors, Advisor
  
  
• Ken Goettler, Fall 2014-Spring 2015, Department Honors Project (SR), Modeling T Cell Dynamics: Lifetimes and Chronic Activation in HIV-1 Infection, Advisor
  
  
• Ken Goettler, Summer 2014 (SR), Modeling Chronic Immune Activation in HIV-1 Infection, Advisor
  
  
• Molly Lynch, Fall 2013-Spring 2014, Department Honors Thesis (SR), Mathematical Modeling of HIV: Exploring the Damaged Niche Hypothesis, Advisor
  
  
• Melissa R. McGuirl, Fall 2013-Spring 2014, Directed Project (SR), Applied Computational Topology 1, 2. Advisor
  
  
• Molly Lynch, Summer 2013 (SR), Mathematical Modeling of HIV: Exploring the Damaged Niche Hypothesis, Advisor
  
  
• Melissa R. McGuirl, Summer 2013 9SR), The Topological Microstructure of Murine Tumors, Advisor
  
  
• Leah DeCoste, Fall 2012-Spring 2013, Department Honors Thesis (SR), Modeling the Limited Immune Reconstitution of HIV-1 Patients on HAART: The Damaged Niche Hypothesis. Advisor
  
  
• Alexandra Femia, Fall 2012-Spring 2013, Directed Project (SR), Modeling Negative Curvature of Beta Sheet Proteins. Advisor
  
  
• Meghan Reynolds, Fall 2012-Spring 2013, Biology Research (SR), Amphibian Population Demographics: Modeling Abundance of Red-Spotted Newt Using Program MARK. Second Advisor
  
  
• Laura Webber, Spring 2013, Department Honors Thesis (SR), Using Motion and Disparity Tuning to Detect Moving Objects . Reader.
  
  
• Alisa Aylward, Fall 2011-Spring 2012, Department Honors Thesis (SR), Homology of Proteins. Advisor
  
  
• Leah DeCoste, Fall 2011-Spring 2012, Directed Project (SR), HIV Modeling 1, 2. Advisor
  
  
• Leah DeCoste, Summer 2011 (SR), Modeling the Immune Reconstitution on HAART, Advisor
  
  
• Maria Cavicchi, Fall 2010-Spring 2011, Directed Project, HIV Research 3, 4. Advisor
  
  
• Deirdre Scully, Fall 2010-Spring 2011, Directed Project, Contact Topology 1,2. Advisor
  
  
• Lauren Brais, Spring 2011, CISS Academic Internship at UMass Medical School. Advisor
  
  
• Maria Cavicchi, Summer 2010 , Modeling the Immunological Response to HIV-1 After HAART, Advisor
  
  
• Deirdre Scully, Summer 2010 , Overtwisted Contact Structures, Advisor
  
  
• Maria Cavicchi, Fall 2009-Spring 2010, Directed Project , HIV Research 1, 2. Advisor
  
  
• Matthew Brady, Summer 2009 , Creating a Quantum Computer to Approximate the Jones Value of Four-Stranded Braids, Advisor
  
  
• Maria Cavicchi, Summer 2009 , An Alternative Perspective for Modeling HIV, Advisor
  
  
• Bridget A. Whitehead, Fall 2008-Spring 2009, Departmental Honors Project , Modeling the Immune Response to HIV 1 after HAART, Advisor
  
  
• Kathleen D. Moore, 2009 , Cortical Processing of Moving Object Detection: Psychophysical and Computational Studies, Departmental Honors Thesis, Reader.
  
  
• Owen Fenton, Fall 2008, Modeling Differential Equations in Mathematical Biology, Tutorial, Advisor
  
  
• Matthew Brady, Summer 2008 , Modeling Deeply Knotted Proteins with Knotplot, Summer Research Project, Advisor
  
  
• Jon Root, Spring 2008, Linear Algebra and Calculus on Manifolds, Tutorial, Advisor
  
  
• Katherine L. Fitzpatrick, 2008 , Non-Loose Legendrian Knots Departmental Honors Thesis, Advisor
  
  
• Kathryn Y. Noonan, 2007, College Honors Thesis and Departmental Honors Thesis (SR), Multivariate Analysis of Drug Mixtures Using Raman Spectroscopy, Co-Advisor with Prof. Kimberley Frederick, Department of Chemistry.
  
  
• Alison M. Brown, MacKenzie (Maggie) C. Kielman, Angelina Yooyoung Kim, Fall 2005, Spring 2006 Tutorial (SR),Contact Topology Tutorial, Advisor Department presentation: Chekanov Decomposition Invariants of Rational Legendrian Knots.
  
  
• Elizabeth M. Sennott, 2005, College Honors Thesis (SR), On a Conjecture by Kauffman and Harary., Advisor
  
  
• Courtney Michna, 2004, ``Elusive Possession:'' Daisy Buchanan and Zelda Fitzgerald. College Honors Thesis, Reader.
  
  
• Heather L. Bain, 2003, Departmental Honors Thesis (SR) The Future of Carbon in Brazil: Three Contrasting Scenarios H.L. Bain, G.C. Hurtt (University of New Hampshire), and M.F. Cardoso (University of New Hampshire). Advisor
  
  
• Lan P. Tran, 2001, College Honors Thesis (SR), Studies of Chaotic Behaviors of Dynamical Systems through Nonlinear Time Series Analysis, Advisor
  
  
• Katie Grant, Fall 2000, Geometry of Biological Time, Tutorial, Advisor
  
  
• Tessa-Jonne Osborne-Smith, 1999, College Honors Thesis, A Mathematical Model of Hearing: The Cochlea, Advisor
  
  
• Gregory K. Yurasek, 1999, College Honors Thesis The Mathematical Slant: Mathematical Philosophy and its Pedagogical Implications., Reader.
  
  
• John William Hoppin, 1998, Departmental Honors Thesis (SR), Noise Characterization of Reconstruction Algorithms in Single Photon Emission Computed Tomography, Reader.
  
  
• Jamie Iosue, Spring 1997, Tutorial, Hamilton's Equations and Potential Energy Surfaces in Chemical Kinetics, Advisor
  
  
• Joseph Dirocco, 1996, College Honors Thesis, (SR) Neural Networks, co-Advisor with Ken Prestwich, Department of Biology.
  
  
• Suzanne Buchta, 1995, Application of Topology to DNA Structure \& Function, Fenwick Scholar Project. Co-Advisor with Margaret N. Freije, Department of Mathematics and Computers Science.
  
  
• Melissa Dean, 1995, One- and Two-Dimensional Dynamical Systems, Departmental Honors Thesis. Reader.
  
  
• Jon D. Pilon, 1994, College Honors Thesis, Wavelet Analysis and the Large-Scale Structure of the Universe, Advisor
  
  
• Carolyn A. Brenia, Spring 1994, Washington Semester Preogram (SR) A New Vision for the Learning and Teaching of Mathematics at the Secondary Level: Cooperative Learning with Technology, Advisor
  
  
• Sean McGrath, Spring 1994, Tutorial. Co-advisor with Margaret N. Freije.
  
  
• Meghan A. Gillin, 1994, College and Departmental Honors Thesis, Some Results in Global Differential Geometry of Curves and Surfaces, Reader.
  
  
• Monique O'Brien, Spring 1993, Tutorial Analytical Dynamics, Advisor
  
  
• Meredith R. Putnam, 1993, Departmental Honors Thesis, Special Surfaces in Three-Space, Reader.
  
  
• Steven Levandosky, 1992, College and Departmental Honors Thesis, Operator Algebras. College and Departmental Honors Thesis, Advisor
  
  
• Brian Foster, Spring 1989, APL. Tutorial, Advisor
  
  
• David Banach, 1989, Departmental Honors Project, Isometries on Riemannian Manifolds. Advisor
  
  
• John Birge, 1989,Departmental Honors Project, Mathematical Physics, co-advisor with Patrick Shanahan.
  
  
• Michele Intermont, 1989, College Honors Thesis, The Lie Geometry of Spheres, Reader.
  
  
• Jennifer Zaiser, 1987, College Honors Thesis, Solitons: Linear and Non-Linear Waves. Advisor