Browse by Committee Member

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

Perozim de Faveri, Alexandre (2022) Automorphic L-Functions, Geometric Invariants, and Dynamics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/e1zd-7v46. https://resolver.caltech.edu/CaltechTHESIS:05182022-065221100

Shubin, Andrei (2022) Topics in Equidistribution and Exponential Sums. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/153e-5r72. https://resolver.caltech.edu/CaltechTHESIS:07162021-010608172

2021

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

Yi, Lingfei (2021) Geometric Langlands for Hypergeometric Sheaves. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/257d-6p75. https://resolver.caltech.edu/CaltechTHESIS:05302021-184629266

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

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

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

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

Tucker-Drob, Robin Daniel (2013) Descriptive Set Theory and the Ergodic Theory of Countable Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ER96-5D06. https://resolver.caltech.edu/CaltechTHESIS:05162013-102038765

Wong, Wing Hong Tony (2013) Diagonal Forms, Linear Algebraic Methods and Ramsey-Type Problems. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/5B5A-Q252. https://resolver.caltech.edu/CaltechTHESIS:05312013-153531964

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

2012

Venkateswaran, Vidya (2012) Vanishing Results for Hall-Littlewood Polynomials. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/682S-3125. https://resolver.caltech.edu/CaltechTHESIS:06082012-201004802

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

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

2010

Gadre, Vaibhav S. (2010) Dynamics of Non-Classical Interval Exchanges. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/082X-F229. https://resolver.caltech.edu/CaltechTHESIS:04212010-181932550

Cheong, Wan Keng (2010) Gromov-Witten Invariants: Crepant Resolutions and Simple Flops. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/6KZZ-MT72. https://resolver.caltech.edu/CaltechTHESIS:05212010-060144793

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

Schroeder, Brian Leroy (2010) On Elliptic Semiplanes, an Algebraic Problem in Matrix Theory, and Weight Enumeration of Certain Binary Cyclic Codes. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/84VV-S966. https://resolver.caltech.edu/CaltechTHESIS:10262009-141148765

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

2008

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

Levaillant, Claire Isabelle (2008) Irreducibility of the Lawrence-Krammer Representation of the BMW Algebra of Type An-1. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/2PFP-HG33. https://resolver.caltech.edu/CaltechETD:etd-05292008-110016

Tsankov, Todor Dimitrov (2008) Amenability, Countable Equivalence Relations, and Their Full Groups. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/N91C-HV48. https://resolver.caltech.edu/CaltechETD:etd-05022008-113702

2007

Pelayo, Roberto Carlos (2007) Diameter Bounds on the Complex of Minimal Genus Seifert Surfaces for Hyperbolic Knot. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/Q16J-V757. https://resolver.caltech.edu/CaltechETD:etd-06042007-015951

Salazar-Lazaro, Carlos Harold (2007) Association Schemes, Codes, and Difference Sets. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/8AMD-KY33. https://resolver.caltech.edu/CaltechETD:etd-05222007-003651

2006

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

Grynkiewicz, David Joseph (2006) Sumsets, Zero-Sums and Extremal Combinatorics. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/M0QN-0V14. https://resolver.caltech.edu/CaltechETD:etd-08102005-190712

Liu, Xiaoyu (2006) On Divisible Codes over Finite Fields. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/96K8-Q767. https://resolver.caltech.edu/CaltechETD:etd-05252006-010331

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

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

Yildiz, Bahattin (2006) Weight Enumerators and Gray Maps of Linear Codes over Rings. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/tt26-bx10. https://resolver.caltech.edu/CaltechETD:etd-05182006-171405

2005

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

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

Katz, Daniel Jerome (2005) On p-Adic Estimates of Weights in Abelian Codes over Galois Rings. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/6NSP-2A36. https://resolver.caltech.edu/CaltechETD:etd-05312005-175744

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

2004

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

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

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

Vessenes, Rebecca Angel (2004) Generalized Foulkes' Conjecture and Tableaux Construction. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/4C12-SV65. https://resolver.caltech.edu/CaltechETD:etd-05192004-121256

2003

Dukes, Peter James (2003) Convex Cone Conditions on the Structure of Designs. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/V7F7-FQ47. https://resolver.caltech.edu/CaltechETD:etd-07142002-210918

2002

Erdoğan, Mehmet Burak (2002) Mapping Properties of Certain Averaging Operators. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/JRFS-4S52. https://resolver.caltech.edu/CaltechTHESIS:01242012-162804546

Garduño, Antonio Hernández (2002) Regularization of the Amended Potential around a Symmetric Configuration. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/NBWA-EQ57. https://resolver.caltech.edu/CaltechETD:etd-12122003-115521

Pavelich, Janet Mary (2002) Commuting Equivalence Relations and Scales on Differentiable Functions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/RHBN-ZN06. https://resolver.caltech.edu/CaltechTHESIS:01262012-103823681

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

1999

Ku, Chao (1999) Dade's Ordinary Conjecture for the Finite Unitary Groups in the Defining Characteristic. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/xhe3-q841. https://resolver.caltech.edu/CaltechTHESIS:11212019-153036477

Zare, Douglas J. (1999) Geometric Invariants in Contact Structures on 3-Manifolds. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/ywkx-tc69. https://resolver.caltech.edu/CaltechTHESIS:11212019-165707283

1998

Ajoodani-Namini, Shahin (1998) Large Sets of t-Designs. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/y84m-hs59. https://resolver.caltech.edu/CaltechTHESIS:11202019-172054366

Choi, Yanglim (1998) (3,1)-Surfaces via Branched Surfaces. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/yw04-qx32. https://resolver.caltech.edu/CaltechTHESIS:11202019-173910635

Li, Xuhua (1998) Some results on projective equivalence relations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/pn2n-7z61. https://resolver.caltech.edu/CaltechTHESIS:01202017-113604553

1995

Ji, Shujuan (1995) Arithmetic and geometry on triangular Shimura curves. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/xyjv-sv57. https://resolver.caltech.edu/CaltechETD:etd-10052007-134336

1994

Lesin, Alexander Abraham (1994) On the Mumford-Tate Conjecture for Abelian Varieties with Reduction Conditions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/g2mp-jn54. https://resolver.caltech.edu/CaltechTHESIS:05082013-153012294

1990

Ashlock, Daniel Abram (1990) A Theory of Permutation Polynomials Using Compositional Attractors. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/24QB-M779. https://resolver.caltech.edu/CaltechETD:etd-06022006-085847

1989

Feres, Renato (1989) Geodesic Flows on Manifolds of Negative Curvature with Smooth Horospheric Foliations. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/f6yt-bf73. https://resolver.caltech.edu/CaltechETD:etd-05232007-115904