Jordan Watts' Homepage

My Papers, Research, & Talks

My arXiv Page
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My Erdös number is 4!

The orbifold S2/A4; made with Mathematica 11.
The orbifold <b>S</b><sup>2</sup>/A<sub>4</sub>; made with Mathematica 11.

My research interests include applications of geometry and topology to data, generalisations of smooth structures (e.g. diffeology, differential spaces, stacks, orbifolds) and Lie groupoids with applications to Lie group actions, symplectic geometry, and Hamiltonian group actions.

Papers

Selected Talks

This orbifold is (diffeomorphic to) R3/T, where T is the full tetrahedral group; made with Mathematica 11.
This orbifold is (diffeomorphic to) <b>R</b><sup>3</sup>/T, where T is the tetrahedral group; made with Mathematica 11.
  • Symplectic Quotients & Representability
    • Slides
    • Groupoidfest 2017; University of Colorado Boulder, Boulder, Colorado, USA; March 2017
    • Colloquium; Queens University, Kingston, Ontario, Canada; March 2017 (invited)
    • Colloquium; University of Denver, Denver, Colorado, USA; March 2017 (invited)
    • Algebra and Logic Seminar; University of Denver, Denver, Colorado, USA; January 2017 (invited)
    • Geometry, Groups and Dynamics/GEAR; University of Illinois (Urbana-Champaign), Urbana, Illinois, USA; September 2016
    • Geometry & Topology Seminar; University of Illinois Chicago, Chicago, Illinois, USA; September 2016 (invited)
  • Tame Circle Actions
    • Slides
    • 2016 AMS Sectional Spring Central Meeting; North Dakota State University, Fargo, North Dakota, USA; April 2016 (invited)
    • Stratifications, Differentiable Structures, and Poisson Geometry; University of Colorado Boulder, Boulder, Colorado, USA; March 2016
    • 2015 CMS Winter Meeting; Montreal, Quebec, Canada; December 2015.
  • The Differential Structure of an Orbifold
    • Slides
    • Groupoidfest 2015, University of Memphis, Memphis, Tennessee, USA; October 2015 (invited).
    • Colloquium, Dalhousie University, Halifax, Nova Scotia, Canada; June 2015 (invited).
    • Symplectic & Poisson Geometry Seminar, University of Illinois at Urbana-Champaign, Urbana, Illinois, USA; May 2015.
    • Kempner Colloquium; University of Colorado Boulder, Boulder, Colorado, USA; March 2015 (invited).
    • Colloquium; University of Manitoba, Winnipeg, Manitoba, Canada; January 2015 (invited).
  • Coarse Moduli Spaces of Stacks over Manifolds
    • Slides
    • 2014 CMS Summer Meeting; Winnipeg, Manitoba, Canada; June 2014 (invited).
    • UIUC-WUSTL Symplectic Geometry Seminar 2014; Washington University, St. Louis, Missouri, USA; April 2014 (invited).
    • Topology Seminar; University of Illinois at Urbana-Champaign, Urbana, Illinois, USA; February 2014.
  • Basic Differential Forms on a Proper Lie Groupoid
    • Slides
    • New Geometries for Physics: Workshop on Diffeology; Aix en Provence, France; June 2014 (invited).
    • AMS Joint Mathematics Meetings 2014; Baltimore, Maryland, USA; January 2014.
    • Gone Fishing; Temple University, Philadelphia, Pennsylvania, USA; September 2013 (invited).
  • Differential Forms on Symplectic Quotients
    The following is (diffeomorphic to) the orbit space C2/O(2), where the action has weights 3 and 5; made with Mathematica 11.
    The following is (diffeomorphic to) the orbit space <b>C</b><sup>2</sup>/O(2), where the action has weights 3 and 5; made with Mathematica 11.
    • Slides
    • AMS Joint Mathematics Meetings 2015; San Antonio, Texas, USA; January 2015 (invited).
    • Symplectic and Poisson Geometry Seminar; University of Illinois at Urbana-Champaign, Urbana, Illinois, USA; August 2013.
    • Geometry and Topology Seminar; McMaster University, Hamilton, Ontario, Canada; March 2012 (invited).
    • Geometry and Topology Seminar; University of Western Ontario, London, Ontario, Canada; March 2012 (invited).
    • Geometry and Topology Seminar; University of Waterloo, Waterloo, Ontario, Canada; February 2012 (invited).

Unpublished Stuff