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Open Access

Author:: Reutzel, Edward William
Title:: Deformation Analysis and Path Planning for Thermal Forming of Complex Shapes
Graduate Program:: Mechanical Engineering
Keywords:: thermal forming
line heating
differential geometry
laser forming
File:: Download Reutzel-Dissertation-Final.pdf
Committee Members:: Panagiotis Michaleris, Committee Chair/Co-Chair
Eric M Mockensturm, Committee Member
Stephen M Copley, Committee Member
Richard Martukanitz, Committee Member

Open Access

Author:: Liao, Hsuan Yi
Title:: FORMALITY AND KONTSEVICH–DUFLO THEOREM
Graduate Program:: Mathematics
Keywords:: deformation quantization
differential geometry
mathematical physics
formality theorem
Duflo theorem
Todd class
Lie algebroid
File:: Download Liao-Dissertation.pdf
Committee Members:: Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Adrian Ocneanu, Committee Member
Nigel David Higson, Committee Member
Martin Bojowald, Outside Member
Mathieu Philippe Stienon, Dissertation Advisor/Co-Advisor

Open Access

Author:: Broka, Damien
Title:: Symplectic Realizations of Non-Degenerate Poisson-Nijenhuis Manifolds
Graduate Program:: Mathematics
Keywords:: differential geometry
mathematical physics
complex variables
symplectic geometry
File:: Download damienbroka-phd.pdf
Committee Members:: Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Nigel David Higson, Committee Member
Adrian Ocneanu, Committee Member
Martin Bojowald, Outside Member
Mathieu Philippe Stienon, Committee Member

Open Access

Author:: Francis, Michael
Title:: Groupoids and Algebras of Certain Singular Foliations with Finitely Many Leaves
Graduate Program:: Mathematics (PHD)
Keywords:: operator algebras
differential geometry
foliations
Lie groupoids
File:: Download MichaelFrancis-Disseration.pdf
Committee Members:: Ping Xu, Major Field Member
Nigel Higson, Chair & Dissertation Advisor
Martin Bojowald, Outside Unit & Field Member
Nathanial Brown, Major Field Member
Alexei Novikov, Program Head/Chair

Open Access

Author:: Sha, Congzhou
Title:: Manifold Learning in Structural Biology: Docking, Folding, and Simulation
Graduate Program:: Engineering Science and Mechanics (PHD)
Keywords:: differentiable programming
machine learning
neural networks
structural biology
Lie group
statistical mechanics
molecular dynamics
RNA structure
differential geometry
File:: Download Sha_dissertation-Final.pdf
Committee Members:: Albert Segall, Program Head/Chair
Elizabeth Proctor, Major Field Member
Mehrdad Mahdavi, Outside Field Member
Nikolay Dokholyan, Chair & Dissertation Advisor
Raymond Hohl, Outside Unit Member

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