Research

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Presentations

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2018

• Semitoric families
  IAS/Princeton symplectic geometry and dynamics seminar in Princeton, NJ, USA
• Immersed Floer theory and reverse mean curvature flow
  University of Antwerp Analysis and Geometry seminar in Antwerp, Belgium
• Invariants and constructions of semitoric systems
  University of Antwerp Analysis and Geometry seminar in Antwerp, Belgium
• Families of semitoric systems
  AIMS conference on dynamical systems, differential equations, and applications in Taipei, Taiwan
• Some results on semitoric integrable systems
  Geometric aspects of momentum maps and integrability at CSF Ascona, Switzerland
• Explicit compact semitoric integrable systems
  Gone Fishing Poisson Geometry Conference 2018, La Jolla, CA
• Integrable systems and S1-symmetries
  Rutgers Junior Geometry Seminar
• The classification of Delzant polygons
  RUMA (Rutgers Undergraduate Mathematics Association) Lecture Series

2017

• New constructions of semitoric systems
  Finite Dimensional Integrable Systems (FDIS) 2017 at CRM in Barcelona
• Semitoric integrable systems and the semitoric helix
  Rutgers Geometry/Topology seminar

2016

• The combinatorial invariant of semitoric manifolds
  (Poster presented at Poisson 2016 Conference in Zurich, Switzerland)
• The combinatorial invariant of semitoric manifolds
  (Poster presented at Integrable Systems Conference at CSF Ascona in Ascona, Switzerland)
• Classifying fans with applications to Symplectic Geometry
  (UCSD Advancement to Candidacy)
• Symplectic invariants and moduli spaces of integrable systems
  (UCSD Final PhD Defense)
• Integrable systems, fans, and semitoric minimal models
  (UCSD GradSWANTAG Conference)
• Semitoric minimal models (joint talk with Daniel M. Kane)
  (UCSD Algebraic Geometry Seminar)
• Symplectic invariants in equivariant geometry
  (UCSD Symplectic Geometry Seminar)
• Symplectic capacities, group actions, and integrable systems
  (AMS Joint Math Meetings in Seattle, WA)

2015

• The moduli space of semitoric integrable systems
  (Poster presented at FDIS 2015 Conference in Poznan, Poland)
• The moduli space of semitoric integrable systems
  (Poster presented at ICERM Integrability Conference, Providence, RI)
• Classifying fans with applications to Symplectic Geometry
  (UCSD Advancement to Candidacy)

2014

• The moduli space of semitoric systems
  (UCSD Differential Geometry Seminar)
• Symplectic Geometry and Physics
  (UCSD Undergraduate Seminar)
• An Introduction to Symplectic Geometry and Integrable Systems
  (Wustl Szego Seminar)

2013

• A Distance Function on Smooth Families of Maps and a Strategy to Smooth their Singular Limits
  (Wustl Geometry Seminar)
• A Distance Function on Symplectic Embeddings
  (Integrable Systems in The XXI Century Conference at EPFL)
• A Distance Function on Smooth Families of Embeddings
  (Wustl Geometry Seminar)

2012

• An Introduction to Symplectic Geometry with Relations to Mechanics
  (Wustl Graduate Organized Seminar)

2011

• Stucture Groups on Pseudo-Riemannian Algebraic Curvature Tensors
  (Poster presented at Joint Mathematics Meetings in 2012 at Undergraduate Poster Session)
• Weyl Curvature and Invariance of Spacelike 3-Volume Under Geodesic Flow
  (Truman State University Student Research Conference)

2010

• Structure Groups of Pseudo-Riemannian Algebraic Curvature Tensors
  (Truman State University Mathematics Colloquium)
• The Generalized Wythoff Array and Fractal Bases
  (NCUR, National Conference on Undergraduate Research, The University of Montana)
• Numeration Systems and Fractal Sequences
  (Truman State University Student Research Conference)
• Expanding Action Minimization to the Quantum Case
  (Truman State University Student Research Conference)

2008

• Self-Generating Sets and Numeration Systems
  (Truman State University Student Research Conference)

2007

• Self Generating Sets and Numeration Systems
  (INTEGERS Conference 2007, University of West Georgia)