Browse by Advisor

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

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

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

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

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

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

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

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

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

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

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