Browse by Committee Member

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

Can, Tran Thanh Trung (2024) On Arithmetic Invariants of Special Families of K3-Type Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/z5mc-g704. https://resolver.caltech.edu/CaltechTHESIS:06022024-205427263

Jin, Yuhui (2024) On the Hecke Module of GLₙ(k[[z]])\GLₙ(k((z)))/GLₙ(k((z²))). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/d0bn-5e47. https://resolver.caltech.edu/CaltechTHESIS:12082023-083025167

2023

Hemo, Tamir (2023) On the Categorical Approach to the Frobenius Trace. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8d25-ky12. https://resolver.caltech.edu/CaltechTHESIS:05052023-230556627

2022

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

Yang, Liyang (2021) A Coarse Jacquet-Zagier Trace Formula for GL(n) with Applications. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/1j4r-pv26. https://resolver.caltech.edu/CaltechTHESIS:05272021-235254020

Yu, Qiyao (Vivian) (2021) p-Converse to a Theorem of Gross-Zagier, Kolyvagin, and Rubin for Small Primes. Senior thesis (Major), California Institute of Technology. doi:10.7907/ccbk-ht28. https://resolver.caltech.edu/CaltechTHESIS:06022021-000654935

2020

Panda, Corina Bianca (2020) Generalizations of a Theorem of Hecke. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/bxgs-4825. https://resolver.caltech.edu/CaltechTHESIS:06072020-124705473

Xiao, Xiao (Luciena) (2020) On The Hecke Orbit Conjecture for PEL Type Shimura Varieties. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/sjg9-0688. https://resolver.caltech.edu/CaltechThesis:06012020-105456611

Yu, Jize (2020) The Integral Coefficient Geometric Satake Equivalence in Mixed Characteristic and its Arithmetic Applications. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/53hf-xf98. https://resolver.caltech.edu/CaltechTHESIS:06072020-212019225

2019

Frimu, Andrei (2019) Γ(p)-Level Structure on p-Divisible Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8JYH-KT84. https://resolver.caltech.edu/CaltechTHESIS:05302019-185557287

Lawless Hughes, Nathaniel (2019) A Comparison of p-adic Motivic Cohomology and Rigid Cohomology. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/DCJJ-E164. https://resolver.caltech.edu/CaltechTHESIS:06012019-191035765

Siebel, Daniel A. (2019) Special Values of Zeta-Functions for Proper Regular Arithmetic Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/YMHN-2T74. https://resolver.caltech.edu/CaltechTHESIS:11142018-032432585

2018

Hong, Serin (2018) On Hodge-Newton Reducible Local Shimura Data of Hodge Type. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4F4W-Y024. https://resolver.caltech.edu/CaltechTHESIS:05262018-184212374

2017

Burton, Peter J. (2017) Approximation and Classification in the Ergodic Theory of Nonamenable Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9R49NTF. https://resolver.caltech.edu/CaltechTHESIS:05262017-150152046

2016

Hwang, Brian W. (2016) Constructing Self-Dual Automorphic Representations on General Linear Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9WD3XKB. https://resolver.caltech.edu/CaltechTHESIS:05272016-115010946

Nastasescu, Maria Monica (2016) Nonvanishing of L-Functions for GL(n). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9QN64R2. https://resolver.caltech.edu/CaltechTHESIS:06072016-183228371

Yeo, Foo Yee (2016) l-adic Cohomology of the Dual Lubin-Tate Tower via the Exterior Power. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9F769JT. https://resolver.caltech.edu/CaltechTHESIS:05272016-150420774

2015

Chiriac, Liubomir (2015) Special Frobenius Traces in Galois Representations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9JM27J6. https://resolver.caltech.edu/CaltechTHESIS:05292015-222022033

Fan, Sin Tsun Edward (2015) On the Construction of Higher étale Regulators. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z9BZ63Z1. https://resolver.caltech.edu/CaltechTHESIS:05182015-134458833

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

2014

Daigle, Gerald Joseph III (Jay) (2014) On the Local Tamagawa Number Conjecture for Tate Motives. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RFXG-4E72. https://resolver.caltech.edu/CaltechTHESIS:05292014-153502602

2013

Peskin, Laura Rebecca Rynne (2013) Ordinary Mod p Representations of the Metaplectic Cover of p-adic SL₂. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/G9SP-XG30. https://resolver.caltech.edu/CaltechTHESIS:06082013-032145943

2012

Chiu, Yi-Chih (2012) On the Weil-étale Cohomology of S-Integers. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/W4CA-6489. https://resolver.caltech.edu/CaltechTHESIS:12212011-095330433

Wu, Yi-Tao (2012) One the P-Adic Local Invariant Cycle Theorem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ZJ9C-WT04. https://resolver.caltech.edu/CaltechTHESIS:05292012-142939643

2011

Nelson, Paul D. (2011) Some New Aspects of Mass Equidistribution. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MS8B-9T95. https://resolver.caltech.edu/CaltechTHESIS:06042011-162333825

2010

Lyons, Christopher Michael (2010) The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/67VN-D890. https://resolver.caltech.edu/CaltechTHESIS:05272010-144845323

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

2009

Saha, Abhishek (2009) On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5HWD-TH76. https://resolver.caltech.edu/CaltechETD:etd-05222009-162600