Glen M. Wilson

Glen M. Wilson
Email: glen.m.wilson (at) ntnu.no
Office: ...
Office hours: By appointment
Curriculum Vita (Last Updated 8/2018)
Mathematical interests: Algebraic topology, homotopy theory, differential topology, algebraic geometry, K-theory, category theory.

Publications

Chu, P., Wilson, G. M., Michael, T., Vaiciunas, J., Honig, J., and Lam, E., Sequence-guided approach to genotyping plant clones and species using polymorphic NB-ARC-related genes, Plant Molecular Biology. (2018).
G. M. Wilson, The eta-inverted sphere over the rationals, Algebraic and Geometric Topology. 18 (2018) no. 3.
G. M. Wilson, and P. A. Østvær, Two-complete stable motivic stems over finite fields, Algebraic and Geometric Topology. 17 (2017) no. 2, 1059--1104.
G. M. Wilson Motivic stable stems over finite fields. PhD Dissertation (2016).
G. M. Wilson and C. T. Woodward, Quasimap Floer Cohomology for Varying Symplectic Quotients, Canad. J. Math. 65(2013), 467-480.
T. Hagedorn and G. M. Wilson, Symbolic computation of degree-three covariants for a binary form, Involve, Vol. 2 (2009), No. 5, 511-532.

Graduate school notes

Voevodsky's P1 connectivity theorem: These notes were written for the 2015 USC K-Theory workshop, and discuss the motivic category of P1 spectra (presented as bi-spectra) and the connectivity theorem of Voevodsky. I'd like to thank Elden Elmanto and Heng Xie for their help in preparing these notes.

Poincaré lemma: These are my notes for a presentation I gave in an introductory differential geometry course taught by Prof. Chris Woodward.

Reference sheet: I wrote these notes while preparing for my oral qualifying exam.

Official oral qualifying exam syllabus. For your convenience, here is an html version of the exam syllabus.

Undergraduate notes and projects

Adjoint functors in topology: This is an updated version of my honors paper on adjoint functors in topology. It consists largely of expository material on adjoint functors, but there is a proof that a certain push-out does not exist in the category of smooth manifolds. This work was done while taking a reading course with Dr. Carlos Alves.

Animation1.pdf: I made this animation as part of the DIMACS/Math REU at Rutgers in 2010 to illustrate the various methods for showing toric fibers are displaceable and nondisplaceable. As the animation runs, pink regions appear in the moment map image, which means the toric fibers over those points are displaceable. The toric fibers over the points in the green region correspond to non-displaceable fibers. How can we determine if the remaining toric fibers are displaceable or not? More details can be found in the paper Quasimap Floer Cohomology for Varying Symplectic Quotients.

Capstone paper: This paper was written while working with Dr. Andrew Clifford while at TCNJ. It is an expository paper about Σ-theory.

Capstone presentation: These are the slides I used for my capstone presentation on Σ-theory.