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
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Jan 19, 2019 On the Fundamental Group of Symplectic Embeddings of 4-dimensional Ellipsoids
2019 Joint Mathematics Meetings, Baltimore, MD
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Apr 6, 2018 From Classical Mechanics to Symplectic Geometry
University of North Georgia, Dahlonega, GA
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Sep 29, 2017 From Classical Mechanics to Symplectic Geometry
Senior Seminar at Randolph-Macon College, Ashland, VA
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Oct 7, 2016 An Elementary Proof of the Gauss-Bonnet Theorem
Senior Seminar at Randolph-Macon College, Ashland, VA
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Jan 6, 2016 Non-triviality of the Fundamental Group of Symplectic Embeddings of 2 Ellipsoids
2016 Joint Mathematics Meetings, Seattle, WA
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Oct 21, 2015 An Elementary Proof of the Gauss-Bonnet Theorem
University of North Georgia, Dahlonega, GA
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Oct 6, 2014 A Primer on Pseudoholomorphic Curves
Graduate Student Seminar at University of California, Riverside, CA
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May 20, 2014 From Classical Mechanics to Symplectic Geometry
Undergraduate Math Club at University of California, Riverside, CA
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May 19, 2014 A Primer on Pseudoholomorphic Curves
Graduate Student Seminar at University of California, Riverside, CA
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Nov 18, 2013 From Classical Mechanics to Symplectic Geometry
Graduate Student Seminar at University of Notre Dame, Notre Dame, IN
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May 24, 2013 An Elementary Proof of the Gauss-Bonnet Theorem
Undergraduate Math Club at University of California, Riverside, CA
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Mar 5, 2012 Weak Morse Inequalities via Supersymmetry
Baby Topology Seminar at University of Notre Dame, Notre Dame, IN
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Apr 28, 2010 On the Homogeneous Laplace Equation
Topics in PDEs Seminar at University of California, Riverside, CA
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Apr 21, 2010 Minkowski Space-Time
Topics in PDEs Seminar at University of California, Riverside, CA
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Feb 17, 2010 Tensors and Curvature IV
Topics in PDEs Seminar at University of California, Riverside, CA
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Feb 10, 2010 Tensors and Curvature III
Topics in PDEs Seminar at University of California, Riverside, CA
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Jan 20, 2010 Tensors and Curvature II
Topics in PDEs Seminar at University of California, Riverside, CA
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Dec 3, 2009 Wedderburn's Theorem for Ringoids
Groupoid Seminar at University of California, Riverside, CA
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Nov 25, 2009 Tensors and Curvature
Topics in PDEs Seminar at University of California, Riverside, CA
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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
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Aug 22, 2015 Basic Complex Analysis Introduction Talk
Math Graduate Student Orientation at University of Notre Dame, Notre Dame, IN
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Aug 19, 2014 Basic Topology Introduction Talk
Math Graduate Student Orientation at University of Notre Dame, Notre Dame, IN
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Aug 20, 2013 Basic Topology Introduction Talk
Math Graduate Student Orientation at University of Notre Dame, Notre Dame, IN
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Feb 10, 2013 Pseudoholomorhpic Curves and Applications
Basic Complex Analysis II Class at University of Notre Dame, Notre Dame, IN
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Aug 14, 2012 Basic Analysis Introduction Talk
Math Graduate Student Orientation at University of Notre Dame, Notre Dame, IN
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Mar 19-23, 2012 Introduction to Category Theory (3 part lecture)
Topics in Differential Geometry Class at University of Notre Dame, Notre Dame, IN
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Dec 2, 2011 Blueprints for a Building
Intermediate Topology Class at University of Notre Dame, Notre Dame, IN
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May 23, 2011 The DeRham Isomorphism
Algebraic Topology Class at University of California, Riverside, CA