Welcome to the Webpage of Edward Burkard

Research

Broadly speaking, I am a Symplectic Geometer. Currently, I am interested is studying the homotopy properties of the space of symplecitc embeddings of ellipsoids (sometimes more than one) into ellipsoids and balls in 4 dimensions. My primary tool to study these spaces with is pseudoholomorphic curves.

My Ph.D. advisor is Richard Hind.

Here you can find my Curriculum Vitae.

Previous and Upcoming Talks

  • Jan 19, 2019 On the Fundamental Group of Symplectic Embeddings of 4-dimensional Ellipsoids
    2019 Joint Mathematics Meetings, Baltimore, MD
  • Apr 6, 2018 From Classical Mechanics to Symplectic Geometry
    University of North Georgia, Dahlonega, GA
  • Sep 29, 2017 From Classical Mechanics to Symplectic Geometry
    Senior Seminar at Randolph-Macon College, Ashland, VA
  • Oct 7, 2016 An Elementary Proof of the Gauss-Bonnet Theorem
    Senior Seminar at Randolph-Macon College, Ashland, VA
  • Jan 6, 2016 Non-triviality of the Fundamental Group of Symplectic Embeddings of 2 Ellipsoids
    2016 Joint Mathematics Meetings, Seattle, WA
  • Oct 21, 2015 An Elementary Proof of the Gauss-Bonnet Theorem
    University of North Georgia, Dahlonega, GA
  • Oct 6, 2014 A Primer on Pseudoholomorphic Curves
    Graduate Student Seminar at University of California, Riverside, CA
  • May 20, 2014 From Classical Mechanics to Symplectic Geometry
    Undergraduate Math Club at University of California, Riverside, CA
  • May 19, 2014 A Primer on Pseudoholomorphic Curves
    Graduate Student Seminar at University of California, Riverside, CA
  • Nov 18, 2013 From Classical Mechanics to Symplectic Geometry
    Graduate Student Seminar at University of Notre Dame, Notre Dame, IN
  • May 24, 2013 An Elementary Proof of the Gauss-Bonnet Theorem
    Undergraduate Math Club at University of California, Riverside, CA
  • Mar 5, 2012 Weak Morse Inequalities via Supersymmetry
    Baby Topology Seminar at University of Notre Dame, Notre Dame, IN
  • Apr 28, 2010 On the Homogeneous Laplace Equation
    Topics in PDEs Seminar at University of California, Riverside, CA
  • Apr 21, 2010 Minkowski Space-Time
    Topics in PDEs Seminar at University of California, Riverside, CA
  • Feb 17, 2010 Tensors and Curvature IV
    Topics in PDEs Seminar at University of California, Riverside, CA
  • Feb 10, 2010 Tensors and Curvature III
    Topics in PDEs Seminar at University of California, Riverside, CA
  • Jan 20, 2010 Tensors and Curvature II
    Topics in PDEs Seminar at University of California, Riverside, CA
  • Dec 3, 2009 Wedderburn's Theorem for Ringoids
    Groupoid Seminar at University of California, Riverside, CA
  • Nov 25, 2009 Tensors and Curvature
    Topics in PDEs Seminar at University of California, Riverside, CA
  • May 28, 2009 Introduction to Ringoids
    Groupoid Seminar at University of California, Riverside, CA

Conferences

I was an organizer of the 11th Annual Graduate Student Topology & Geometry Conference, which took place at the University of Notre Dame on April 6-7, 2013.

Other Talks

  • Aug 22, 2015 Basic Complex Analysis Introduction Talk
    Math Graduate Student Orientation at University of Notre Dame, Notre Dame, IN
  • Aug 19, 2014 Basic Topology Introduction Talk
    Math Graduate Student Orientation at University of Notre Dame, Notre Dame, IN
  • Aug 20, 2013 Basic Topology Introduction Talk
    Math Graduate Student Orientation at University of Notre Dame, Notre Dame, IN
  • Feb 10, 2013 Pseudoholomorhpic Curves and Applications
    Basic Complex Analysis II Class at University of Notre Dame, Notre Dame, IN
  • Aug 14, 2012 Basic Analysis Introduction Talk
    Math Graduate Student Orientation at University of Notre Dame, Notre Dame, IN
  • Mar 19-23, 2012 Introduction to Category Theory (3 part lecture)
    Topics in Differential Geometry Class at University of Notre Dame, Notre Dame, IN
  • Dec 2, 2011 Blueprints for a Building
    Intermediate Topology Class at University of Notre Dame, Notre Dame, IN
  • May 23, 2011 The DeRham Isomorphism
    Algebraic Topology Class at University of California, Riverside, CA