College of the Holy Cross
Department of Mathematics and Computer Science

• 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 Theory1, Advisor
  
  
• Lindsay Marjanski, Fall 2022, Directed Project (SR), Computational Topology 1, 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, Topological Data Analysis in an Economic Context: Property Tax Maps, Advisor.
  
  
• Emily Devine, Fall 2020-Spring 2021, Departmental Honors Thesis, Understanding Behavioral Synchrony Differences in the Functional EEG Networks in Adolescents with Autism Spectrum Disorder,, Advisor, with Prof. Richard Schmidt, Psychology.
  
  
• Daniel Rodden, Spring 2021, Directed Project, Topological Data Analysis for Genomics , Advisor.
  
  
• Isabella Giaquinta, Spring 2021, Directed Project, Pandemic Modeling, Advisor.
  
  
• Matthew Sexton, Sarah Vermette, Thomas Yacovone, Directed Reading, Mathematical Statistics , Advisor.
  
  
• Phoebe Cheng, Fall 2020, Directed Project, Departmental Honors, Understanding the Transfer Learning of Convolutional Neural Networks (CNNs) with Mappers., Advisor.
  
  
• Max Watson, Fall 2020, Directed Project, Topology of Gravity Waves, Advisor.
  
  
• Mike Ding, Summer 2020, Euler Characteristic Transform and 3D Image Analysis, Advisor.
  
  
• MaryClare Martin, Summer 2020, Machine Learning in Python, Advisor.
  
  
• Max Watson, Summer 2020, Pattern Detection with Persistence Images, Advisor.
  
  
• Amber Wu, Summer 2020, Topological Data Analysis of Geographic Networks, Advisor.
  
  
• Emily Devine, Spring 2020, Directed Project, Computational Neuroscience 1, Advisor.
  
  
• Jinghan Chen, Fall 2019-Spring 2020. Departmental Honors Thesis, Persistent Homology in Ballistic Deposition Simulation Models, Advisor.
  
  
• Emily Devine, Summer 2019, Understanding Behavioral Synchrony in Adolescents with Autism Spectrum Disorder using Functional EEG Networks, Advisor.
  
  
• Patrycja Przewoznik, Summer 2019, Structural Analysis of Force Chains within Communities of Particles, Advisor.
  
  
• Sarah McGuire, Fall 2018-Spring 2019, Departmental Honors Thesis, 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, Topology and Convolutional Neural Networks Applied to Retinal Disease, Advisor.
  
  
• Jinghan Chen, Spring 2019. Directed Reading, Random Walks in Topology, Advisor.
  
  
• Allison Sullivan, Fall 2018--Spring 2019. Directed Project, Topological Modeling of Force Networks in Simulated Granular Materials , Advisor.
  
  
• Sarah McGuire, Summer 2018, Behavioral Synchrony and Functional EEG Networks, Advisor, with Prof. Richard Schmidt, Psychology.
  
  
• Michael Marlett, Summer 2018, Macular Degeneration Classification Through Topology and Convolutional Neural Networks, Advisor.
  
  
• Kate Heenan, Spring 2018. Mathematics Honors Thesis, A Topological and Graphical Approach to Analyzing Ballistic Deposition Models, Advisor.
  
  
• Lucca Eloy, Spring 2018, Computer Science Honors Thesis, <\em> A Computational Model of Heading and Object Detection Using Real World Scenes, Reader.
  
  
• Michelle Yu, Spring 2018, Mathematics Honors Thesis Detecting Climate Change Points, Reader.
  
  
• Allison Sullivan, Fall 2017--Spring 2018. Directed Project, Community Topology 1,2}, Advisor.
  
  
• Anna Hulsemann, Spring. Directed Reading, Real and Abstract Analysis 1, Advisor.
  
  
• Anna Hulsemann, Fall 2017. Directed Reading, Connectome Topology, Advisor.
  
  
• Kate Heenan, Summer 2017, Ballistic deposition: graph theory, the Laplace matrix & eigenvalue analysis, Advisor.
  
  
• Sarah McGuire, Summer 2017, EEG and Behavioral Synchrony, Advisor with Prof. Richard Schmidt, Psychology.
  
  
• Ally Sullivan, Summer 2017, Topological Modeling of Force Networks in Granular Material, Advisor.
  
  
• Katie Heenan, Fall 2016-Spring 2017, Directed Project, Ballistic Deposition 1, 2. Advisor.
  
  
• Sarah Tymochko, Fall 2016-Spring 2017, Departmental Honors Thesis, Topological Data Analysis of Retinal Vasculature , Advisor.
  
  
• Emily Winn, Fall 2016-Spring 2017, Departmental Honors Thesis, Topological Modeling of Force Networks in Granular Materials, Advisor.
  
  
• Kate Heenan, Summer 2016, Topological Data Analysis of Ballistic Deposition Models, Advisor.
  
  
• Emily Winn, Summer 2016, Topological Modeling of Force Networks in Granular Materials, Advisor.
  
  
• Sarah Tymochko, Spring 2016, Directed Project Modeling with Topology 2, Advisor.
  
  
• Brian Toner and Sarah Tymochko, Fall 2015, Directed Project Modeling with Topology 1, Advisor.
  
  
• Brian Toner and Sarah Tymochko, Summer 2015, 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 A Topological Analysis of Targeted In-111 Uptake in SPECT Images of Mouse Tumors, Advisor.
  
  
• Ken Goettler, Fall 2014-Spring 2015, Department Honors Project Modeling T Cell Dynamics: Lifetimes and Chronic Activation in HIV-1 Infection, Advisor.
  
  
• Ken Goettler, Summer 2014, Modeling Chronic Immune Activation in HIV-1 Infection, Advisor.
  
  
• Molly Lynch, Fall 2013-Spring 2014, Department Honors Thesis, Mathematical Modeling of HIV: Exploring the Damaged Niche Hypothesis, Advisor.
  
  
• Melissa R. McGuirl, Fall 2013-Spring 2014, Directed Project, Applied Computational Topology 1, 2. Advisor.
  
  
• Molly Lynch, Summer 2013, Mathematical Modeling of HIV: Exploring the Damaged Niche Hypothesis, Advisor.
  
  
• Melissa R. McGuirl, Summer 2013, The Topological Microstructure of Murine Tumors, Advisor.
  
  
• Leah DeCoste, Fall 2012-Spring 2013, Department Honors Thesis, Modeling the Limited Immune Reconstitution of HIV-1 Patients on HAART: The Damaged Niche Hypothesis. Advisor.
  
  
• Alexandra Femia, Fall 2012-Spring 2013, Directed Project, Modeling Negative Curvature of Beta Sheet Proteins. Advisor.
  
  
• Meghan Reynolds, Fall 2012-Spring 2013, Biology Research, Amphibian Population Demographics: Modeling Abundance of Red-Spotted Newt Using Program MARK. Second Advisor.
  
  
• Laura Webber, Spring 2013, Department Honors Thesis, Using Motion and Disparity Tuning to Detect Moving Objects . Reader.
  
  
• Alisa Aylward, Fall 2011-Spring 2012, Department Honors Thesis, Homology of Proteins. Advisor.
  
  
• Leah DeCoste, Fall 2011-Spring 2012, Directed Project, HIV Modeling 1, 2. Advisor.
  
  
• Leah DeCoste, Summer 2011, 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 Modeling the Immune Response to HIV 1 after HAART, Departmental Honors Project, 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, Multivariate Analysis of Drug Mixtures Using Raman Spectroscopy. College Honors Thesis and Departmental Honors Thesis, Co-Advisor with Prof. Kimberley Frederick, Department of Chemistry.
  
  
• Alison M. Brown, MacKenzie (Maggie) C. Kielman, Angelina Yooyoung Kim, Fall 2005, Spring 2006,Contact Topology Tutorial, Advisor. Department presentation: Chekanov Decomposition Invariants of Rational Legendrian Knots.
  
  
• Elizabeth M. Sennott, 2005, On a Conjecture by Kauffman and Harary. College Honors Thesis, Advisor.
  
  
• Courtney Michna, 2004, ``Elusive Possession:'' Daisy Buchanan and Zelda Fitzgerald. College Honors Thesis, Reader.
  
  
• Heather L. Bain, 2003, 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). Departmental Honors Thesis, Advisor.
  
  
• Lan P. Tran, 2001, Studies of Chaotic Behaviors of Dynamical Systems through Nonlinear Time Series Analysis. College Honors Thesis, Advisor.
  
  
• Katie Grant, Fall 2000, Geometry of Biological Time, Tutorial, Advisor.
  
  
• Tessa-Jonne Osborne-Smith, 1999, A Mathematical Model of Hearing: The Cochlea. College Honors Thesis, Advisor.
  
  
• Gregory K. Yurasek, 1999, The Mathematical Slant: Mathematical Philosophy and its Pedagogical Implications. College Honors Thesis, Reader.
  
  
• John William Hoppin, 1998, Noise Characterization of Reconstruction Algorithms in Single Photon Emission Computed Tomography. Departmental Honors Thesis, Reader.
  
  
• Jamie Iosue, Spring 1997, Hamilton's Equations and Potential Energy Surfaces in Chemical Kinetics. Tutorial, Advisor.
  
  
• Joseph Dirocco, 1996, Neural Networks. College Honors Thesis, 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. Wavelet Analysis and the Large-Scale Structure of the Universe. College Honors Thesis, Advisor.
  
  
• Carolyn A. Brenia, Spring 1994, A New Vision for the Learning and Teaching of Mathematics at the Secondary Level: Cooperative Learning with Technology, Washington Semester Program, Advisor.
  
  
• Sean McGrath, Spring 1994, Tutorial. Co-directed with Margaret N. Freije.
  
  
• Meghan A. Gillin, 1994, Some Results in Global Differential Geometry of Curves and Surfaces, College and Departmental Honors Thesis. Reader.
  
  
• Monique O'Brien, Spring 1993, Analytical Dynamics. Tutorial, Advisor.
  
  
• Meredith R. Putnam, 1993, Special Surfaces in Three-Space. Departmental Honors Thesis, Reader.
  
  
• Steven Levandosky, 1992, Operator Algebras. College and Departmental Honors Thesis, Advisor.
  
  
• Brian Foster, Spring 1989, APL. Tutorial, Advisor.
  
  
• David Banach, 1989, Isometries on Riemannian Manifolds. Departmental Honors Project, Advisor.
  
  
• John Birge, 1989, Mathematical Physics, Departmental Honors Projects, co-advisor with Patrick Shanahan.
  
  
• Michele Intermont, 1989, The Lie Geometry of Spheres. College Honors Thesis, Reader.
  
  
• Jennifer Zaiser, 1987, Solitons: Linear and Non-Linear Waves. College Honors Thesis. Advisor.