Browse by Committee Member

A

Achimescu, Sever (2005) Hilbert Modular Forms of Weight 1/2. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/PBNR-3X07. https://resolver.caltech.edu/CaltechETD:etd-04272005-172254

C

Chan, William (2017) Aspects of Definability for Equivalence Relations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Z90P0X3M. https://resolver.caltech.edu/CaltechTHESIS:05312017-155530848

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

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

Colwell, Jason Andrew (2004) The Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication by a Nonmaximal Order. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/G40X-ST27. https://resolver.caltech.edu/CaltechETD:etd-04012004-151307

D

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

F

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

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

G

Gurel, Aliekber (2008) An Exact Average Formula for the Symmetric Square L-Function at the Center. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/MDF7-4E10. https://resolver.caltech.edu/CaltechETD:etd-02042008-154002

Gealy, Matthew Thomas (2006) On the Tamagawa Number Conjecture for Motives Attached to Modular Forms. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/X671-G590. https://resolver.caltech.edu/CaltechETD:etd-12162005-124435

H

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

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

J

Johnson, Jennifer Michelle (2005) Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8T84-BQ83. https://resolver.caltech.edu/CaltechETD:etd-06062005-134908

L

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

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

Lin, Qiang (2004) Bloch-Kato Conjecture for the Adjoint of H¹(X₀(N)) with Integral Hecke Algebra. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/QD4X-J291. https://resolver.caltech.edu/CaltechETD:etd-11182003-084742

M

Martin, Kimball Lee (2004) Four-Dimensional Galois Representations of Solvable Type and Automorphic Forms. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4W9M-GD42. https://resolver.caltech.edu/CaltechETD:etd-05272004-224316

N

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

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

Navilarekallu, Tejaswi (2006) On the Equivariant Tamagawa Number Conjecture. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/7HZ0-F068. https://resolver.caltech.edu/CaltechETD:etd-05242006-225912

P

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

Pragel, Daniel Michael (2009) Embeddings of One-Factorizations of Hypergraphs and Decompositions of Partitions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4NBN-JN92. https://resolver.caltech.edu/CaltechETD:etd-05132009-013245

S

Shang, Zhengyuan (John) (2021) Representation Theory of Real Reductive Groups. Senior thesis (Major), California Institute of Technology. doi:10.7907/awt4-pz48. https://resolver.caltech.edu/CaltechTHESIS:06012021-050728468

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

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

Sorensen, Claus Mazanti (2006) Level-Raising for GSp(4). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/83EQ-J244. https://resolver.caltech.edu/CaltechETD:etd-05152006-143522

V

van Garrel, Michel (2013) Relative Mirror Symmetry and Ramifications of a Formula for Gromov-Witten Invariants. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/9EQP-PD83. https://resolver.caltech.edu/CaltechTHESIS:05312013-164406051

W

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

Walji, Nahid (2011) Supersingular Distribution, Congruence Class Bias, and A Refinement of Strong Multiplicity One. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/WF31-3096. https://resolver.caltech.edu/CaltechTHESIS:02132011-055211033

Whitehouse, David (2005) The Twisted Weighted Fundamental Lemma for the Transfer of Automorphic Forms from GSp(4) to GL(4). Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/26W7-8M37. https://resolver.caltech.edu/CaltechETD:etd-05242005-104909

Wang, Song (2002) An Effective Version of the Grunwald-Wang Theorem. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/dmev-ny09. https://resolver.caltech.edu/CaltechTHESIS:02012012-151008104

X

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

Y

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

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

Z

Zhang, Victor (2022) Twisted Heisenberg Central Extensions and the Affine ADE Basic Representation. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/42v3-ws41. https://resolver.caltech.edu/CaltechTHESIS:05272022-215641742