"I only hope that we never lose sight of one thing: that it was all started by a [drawing of a] mouse." - W. Disney #ItsUhTheStuffThatDreamsAreMadeOf
A. OnShape
1)
A 2D robot arm https://cad.onshape.com/documents/fa6e8c4e48a0b023ac4fe14e/w/c08bad50356cf8ed12928f31/e/ff987bbfdbd9fe7208668065?renderMode=0&uiState=65d3428171bf0a08158594f7
2)
The first link in a 6D robot arm https://cad.onshape.com/documents/737c9e74eeac1c4869a626cd/w/6f8cb5b972292076fdd226a4/e/37c182b71c24e71c21f26d2c
B. CREO
My "Sophomore Design Project", an outlet lock, designed for Prof. Dan Beller's class, Fundamentals of Engineering II, and Master Lock, Inc., with my design team (Faceplate 3D printer file) (Cover 3D printer file)
Final Design
Design 1
My first thermal model in CREO.
B. SolidWorks
My first toy project in SolidWorks, a block with a hole. (I hope to have a picture of a 3D printout and a home CNC'ed part made from it posted here in a few days.)
School:
I am matriculated in a BSE program in Mechanical Engineering at
UWM.
Work:
I have a full-time co-op for Fall 2023 - Summer 2024 at Copland
Corporation (formerly a division of Emerson)
working in Data Science.
I have a part-time internship for Fall 2024 at Copland Corporation (formerly a division of Emerson) working in Data Science.
(Google Scholar https://scholar.google.com/citations?user=3IUdT2EAAAAJ)
(Orcid ID https://orcid.org/0000-0003-0167-670X))
(Math Genealogy Project https://www.mathgenealogy.org/id.php?id=190149)
Research Interests: My Ph.D. is in manifold topology under Prof. Craig Guilbault (UWM's Math Department's Chairman). However, I am moving my research interests into an application of manifold topology, specifically robotics engineering. I have a blog related to my learning experiences in these new areas of STEM (for me), This Week's Finds in Second-Order Ordinary Differential Equations on Manifolds and Geometric Control Theory.
An Introduction to de Rham Cohomology for Engineers with Applications to Robotics using Python (book), toying with the idea (excerpt)
"Configuration Spaces of 6R (nR) Robot Arms are Calabi-Yau", in preparation
"\(\mathcal{EZ}\)-Structures for Group Extensions of Fundamental Groups of Nonpositively Curved Space Forms and Locally Symmetric Spaces", on hold
"Some Examples of Pseudo-Collars on High-Dimensional Manifolds with Non-Superperfect Kernel Groups", on hold
"Some Examples of Pseudo-Collars on High-Dimensional Manifolds with Non-Split-Exact Group Extensions", on hold
"A Necessary and Sufficient Condition for a Self-Diffeomorphism of a Smooth Manifold to be the Time-1 Map of the Flow of a Differential Equation" https://arxiv.org/abs/2110.12806, unpublished
"More Examples of Pseudo-Collar Structures on High-Dimensional Manifolds", Topology and its Applications, Vol. 270, February 2020 https://arxiv.org/abs/1804.02597 https://www.sciencedirect.com/science/article/abs/pii/S0166864118305716
"A Geometric Reverse to the Plus Construction and Some Examples of Pseudo-Collars on High-Dimensional Manifold", Michigan Mathematical Journal, Vol. 67 No. 3, August 2018 https://arxiv.org/abs/1508.03670 https://projecteuclid.org/journals/michigan-mathematical-journal/volume-67/issue-3/A-Geometric-Reverse-to-the-Plus-Construction-and-Some-Examples/10.1307/mmj/1522980163.short
"Some Results on Pseudo-Collar Structures on High-Dimensional Manifolds", doctoral dissertation, May 2015 http://arxiv.org/abs/1502.04338 https://dc.uwm.edu/etd/916/
UWM Topology Seminar 2021 (UW-Milwaukee)
UWM Topology Seminar 2020 (UW-Milwaukee) [Revised - Original slides]
Workshop in Geometric Topology 2016 (Colorado College)
Dissertation Defense (01/2015) (UW-Milwaukee)
Workshop in Geometric Topology 2014 (UW-Milwaukee)
Workshop in Geometric Topology 2009 (UW-Milwaukee)
