Patrick V Haggerty, PhD
I am a researcher and software engineer trained in pure mathematics. My current interests include multi-agent autonomy, state estimation, and graph-based network analysis for resiliency and optimization.
My PhD research was focused on Symplectic Groups, Mapping Class Groups, Geometric Group Theory, and Teichmueller Theory.
Broadly, my expertise includes Geometry, Topology, Mathematical Analysis, Probability, and Linear Algebra.
Education
PhD in mathematics, Indiana University Bloomington, May 2019
Thesis: Products of antisymplectic involutions
Advisor: Dylan Thurston
MA in mathematics, Indiana University Bloomington, May 2017
BA with highest honors in mathematics, Oberlin College, May 2013
Thesis: Connected sum operations on manifolds
Advisor: Jack Calcut
List of Courses Taught at IU
Finite mathematics, Fall 2018, Summer 2015
Mathematics of Decision and Beauty, Summer 2017
Introduction to Finite Math II, Spring 2017
Introduction to College Math I (2 sections), Fall 2016
Introduction to Algebra, Summer 2016
Precalculus with Trigonometry, Fall 2015
Basic Algebra, Spring 2015, Fall 2014
Problem Solving, Summer 2014
Selected Writing
What, how, and when? A hybrid system approach to multi-region search and rescue (w/ B Strasser, A Bloch, and E Kuntz), in Proc. SPIE 12544, Open Architecture/Open Business Model Net-Centric Systems and Defense Transformation 2023, 1254403 (12 June 2023) (external link to SPIE)
Awareness, control, and trust in multi-agent hybrid dynamical systems (w/ B Strasser), in Proc. SPIE12119, Open Architecture/Open Business Model Net-Centric Systems and Defense Transformation 2022, 121190A (30 May 2022) (external link to SPIE)
Extreme Nonuniqueness of End-sum, (with Jack S Calcut and Craig R Guilbault), Journal of Topology & Analysis 14 (2022), 461–503.
PhD Thesis: Products of antisymplectic involutions.
Connected sum at infinity and 4-manifolds, (with Jack S Calcut) Algebraic & Geometric Topology, Vol. 14, 2014, 3281-3303.
Notes on Hyperbolic Trigonometry - Final project for the Metric Geometry course at Indiana University, Fall 2013
Undergraduate Thesis: Connected sum operations on manifolds.
extremeendsum.pdfhaggerty_ASI_thesis.pdfcsi_4d.pdfhaggerty_hyperbolic_trig_final.pdfhaggerty_honors_2013.pdfLaboratory of Geometry at University of Michigan
As an academic affiliate of the University of Michigan during the 2017-2018 academic year, I advised two undergraduate research projects:
A Missing Entry in Sullivan's Dictionary?
Some of the code from this project is hosted on Colby Kelln's github page.
You can learn about the program and see a list of current and past projects on the LOG(M) site.
Miscellaneous Nonmath Things
I keep a few curated galleries of my best photography work here: https://patrickvhaggerty.com/
I also have a flickr page which has a wider selection: https://www.flickr.com/photos/187231371@N08/