Browse by Committee Member

2025

Gakkhar, Sitanshu (2025) Spin Geometry and Quantum Diffusion. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ded0-hn95. https://resolver.caltech.edu/CaltechTHESIS:09162024-065933174

2024

Abouamal, Ismail (2024) Bost–Connes–Marcolli System for the Siegel Modular Variety. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/hjp3-8a71. https://resolver.caltech.edu/CaltechTHESIS:06032024-064737346

2023

Gruen, Angus Fred Wilkinson (2023) Regularities, Resurgence and R-Matrices in Chern Simons Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/dr5q-3074. https://resolver.caltech.edu/CaltechTHESIS:06012023-043437790

Sopenko, Nikita A. (2023) Topological Invariants of Gapped Quantum Lattice Systems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/715e-q184. https://resolver.caltech.edu/CaltechTHESIS:06032023-021309617

Yang, Bowen (2023) Quantum States: With a View Toward Homological Algebra. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/fm81-v416. https://resolver.caltech.edu/CaltechTHESIS:05172023-003322589

2022

Norton, Thomas Clark (2022) Discrete Deligne Cohomology and Discretized Abelian Chern-Simons Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/aae8-re02. https://resolver.caltech.edu/CaltechTHESIS:09072021-163418163

Panangaden, Jane Mariam (2022) Quantum Statistical Mechanics, Noncommutative Geometry, and the Boundary of Modular Curves. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/xrba-8471. https://resolver.caltech.edu/CaltechTHESIS:05252022-192257156

2021

Lieber, Joshua Franklin (2021) Études in Homotopical Thinking: F₁-geometry, Concurrent Computing, and Motivic Measures. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/a4zm-1f28. https://resolver.caltech.edu/CaltechTHESIS:06092021-045504824

You, Minyoung (2021) Topological Phases of Matter: Classification, Stacking Law, and Relation to Topological Quantum Field Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4xq7-gh61. https://resolver.caltech.edu/CaltechTHESIS:08272020-235955490

2019

Gekhtman, Dmitri (2019) Two Holomorphic Extremal Problems in Teichmüller Theory. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/XKMM-8591. https://resolver.caltech.edu/CaltechTHESIS:05132019-171340673

Heydeman, Matthew Thomas Edwin (2019) Supersymmetric Scattering Amplitudes and Algebraic Aspects of Holography from the Projective Line. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/HFPD-JX10. https://resolver.caltech.edu/CaltechTHESIS:06102019-125514401

Tao, Jim (2019) Analysis on Vector Bundles over Noncommutative Tori. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/C4QF-GF45. https://resolver.caltech.edu/CaltechTHESIS:05092019-193947900

Turzillo, Alexander Michael (2019) Short-Range Entangled Phases of Fermions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/3JR4-8G12. https://resolver.caltech.edu/CaltechTHESIS:05312019-162611521

2017

Fu, Lei (2017) Immersing Essential Surfaces in Odd Dimensional Closed Hyperbolic Manifolds. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9XK8CKN. https://resolver.caltech.edu/CaltechThesis:06062017-094601489

Nasrollahpoursamami, Emad (2017) Periods of Feynman Diagrams. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9GX48MR. https://resolver.caltech.edu/CaltechTHESIS:05052017-144643636

Saberi, Ingmar Akira (2017) Knots, Trees, and Fields: Common Ground Between Physics and Mathematics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9VX0DHZ. https://resolver.caltech.edu/CaltechTHESIS:07282016-144651775

Ye, Seunghee (2017) The Geometry of Moduli Spaces of Maps from Curves. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9MP5191. https://resolver.caltech.edu/CaltechTHESIS:05122017-151540545

Yeung, Melissa L. (2017) Applied Computational Topology for Point Clouds and Sparse Timeseries Data. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9D798DF. https://resolver.caltech.edu/CaltechTHESIS:10262016-165619613

2016

Ni, Xiang (2016) Rota-Baxter Algebras, Renormalization on Kausz Compactifications and Replicating of Binary Operads. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9SB43QZ. https://resolver.caltech.edu/CaltechTHESIS:05272016-153537481

Stoica, Bogdan (2016) Boundary Relative Entropy as Quasilocal Energy: Positive Energy Theorems and Tomography. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9ZW1HW3. https://resolver.caltech.edu/CaltechTHESIS:06072016-152814803

2015

Dawra, Nakul (2015) On the Link Floer Homology of L-space Link. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9CZ353T. https://resolver.caltech.edu/CaltechTHESIS:05222015-133207861

Elliot, Ross Filip (2015) Topological Strings, Double Affine Hecke Algebras, and Exceptional Knot Homology. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9ST7MRK. https://resolver.caltech.edu/CaltechTHESIS:05292015-095300444

Kasatkin, Victor (2015) Some Constructions, Related to Noncommutative Tori; Fredholm Modules and the Beilinson–Bloch Regulator. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z91R6NGH. https://resolver.caltech.edu/CaltechTHESIS:05212015-124038753

Skinner, Brian Paul (2015) Logarithmic Potential Theory on Riemann Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9Q52MK8. https://resolver.caltech.edu/CaltechTHESIS:05292015-072640484

2014

Gu, Liling (2014) Integral Finite Surgeries on Knots in S³. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/E7VQ-SV60. https://resolver.caltech.edu/CaltechTHESIS:06012014-162932302

2013

Skerritt, Paul Michael (2013) Geometric Quantization and Foliation Reduction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Q72T-Y013. https://resolver.caltech.edu/CaltechTHESIS:06172013-011507797

Teh, Kevin Kai-Wen (2013) Dirac Spectra, Summation Formulae, and the Spectral Action. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z545-KK47. https://resolver.caltech.edu/CaltechTHESIS:05082013-134706988

Ćaćić, Branimir Josip (2013) On Reconstruction Theorems in Noncommutative Riemannian Geometry. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/WRT2-7630. https://resolver.caltech.edu/CaltechTHESIS:05242013-033054707

2012

Walker, Alden Kent (2012) Surface Maps into Free Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/FDRS-9S44. https://resolver.caltech.edu/CaltechTHESIS:05212012-102942842

2011

Louwsma, Joel Ryan (2011) Extremality of the Rotation Quasimorphism on the Modular Group. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/0Y6J-VP31. https://resolver.caltech.edu/CaltechTHESIS:05132010-155930760

Zhang, Dapeng (2011) Projective Dirac Operators, Twisted K-Theory, and Local Index Formula. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/B2Z4-P206. https://resolver.caltech.edu/CaltechTHESIS:05272011-153933399

2010

Torres Ruiz, Rafael (2010) Geography and Botany of Irreducible Symplectic 4-Manifolds with Abelian Fundamental Group. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/A9WD-BN29. https://resolver.caltech.edu/CaltechTHESIS:06082010-161504738