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 4dimensional 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 RandolphMacon College, Ashland, VA

Oct 7, 2016 An Elementary Proof of the GaussBonnet Theorem
Senior Seminar at RandolphMacon College, Ashland, VA

Jan 6, 2016 Nontriviality of the Fundamental Group of Symplectic Embeddings of 2 Ellipsoids
2016 Joint Mathematics Meetings, Seattle, WA

Oct 21, 2015 An Elementary Proof of the GaussBonnet 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 GaussBonnet 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 SpaceTime
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 67, 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 1923, 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