<h1>Ramakrishnan, Dinakar</h1> <h2>Monograph from <a href="https://data.caltech.edu">CaltechTHESIS committee</a></h2> <ul> <li>Panangaden, Jane Mariam (2022) <a href="https://resolver.caltech.edu/CaltechTHESIS:05252022-192257156">Quantum Statistical Mechanics, Noncommutative Geometry, and the Boundary of Modular Curves</a>; <a href="https://doi.org/10.7907/xrba-8471">10.7907/xrba-8471</a></li> <li>Shubin, Andrei (2022) <a href="https://resolver.caltech.edu/CaltechTHESIS:07162021-010608172">Topics in Equidistribution and Exponential Sums</a>; <a href="https://doi.org/10.7907/153e-5r72">10.7907/153e-5r72</a></li> <li>Perozim de Faveri, Alexandre (2022) <a href="https://resolver.caltech.edu/CaltechTHESIS:05182022-065221100">Automorphic L-Functions, Geometric Invariants, and Dynamics</a>; <a href="https://doi.org/10.7907/e1zd-7v46">10.7907/e1zd-7v46</a></li> <li>Panangaden, Jane Mariam (2022) <a href="https://resolver.caltech.edu/CaltechTHESIS:05252022-192257156">Quantum Statistical Mechanics, Noncommutative Geometry, and the Boundary of Modular Curves</a>; <a href="https://doi.org/10.7907/xrba-8471">10.7907/xrba-8471</a></li> <li>Yang, Liyang (2021) <a href="https://resolver.caltech.edu/CaltechTHESIS:05272021-235254020">A Coarse Jacquet-Zagier Trace Formula for GL(n) with Applications</a>; <a href="https://doi.org/10.7907/1j4r-pv26">10.7907/1j4r-pv26</a></li> <li>Yu, Qiyao (Vivian) (2021) <a href="https://resolver.caltech.edu/CaltechTHESIS:06022021-000654935">p-Converse to a Theorem of Gross-Zagier, Kolyvagin, and Rubin for Small Primes</a>; <a href="https://doi.org/10.7907/ccbk-ht28">10.7907/ccbk-ht28</a></li> <li>Yu, Qiyao (Vivian) (2021) <a href="https://resolver.caltech.edu/CaltechTHESIS:06022021-000654935">p-Converse to a Theorem of Gross-Zagier, Kolyvagin, and Rubin for Small Primes</a>; <a href="https://doi.org/10.7907/ccbk-ht28">10.7907/ccbk-ht28</a></li> <li>Yi, Lingfei (2021) <a href="https://resolver.caltech.edu/CaltechTHESIS:05302021-184629266">Geometric Langlands for Hypergeometric Sheaves</a>; <a href="https://doi.org/10.7907/257d-6p75">10.7907/257d-6p75</a></li> <li>Yi, Lingfei (2021) <a href="https://resolver.caltech.edu/CaltechTHESIS:05302021-184629266">Geometric Langlands for Hypergeometric Sheaves</a>; <a href="https://doi.org/10.7907/257d-6p75">10.7907/257d-6p75</a></li> <li>Yang, Liyang (2021) <a href="https://resolver.caltech.edu/CaltechTHESIS:05272021-235254020">A Coarse Jacquet-Zagier Trace Formula for GL(n) with Applications</a>; <a href="https://doi.org/10.7907/1j4r-pv26">10.7907/1j4r-pv26</a></li> <li>Panda, Corina Bianca (2020) <a href="https://resolver.caltech.edu/CaltechTHESIS:06072020-124705473">Generalizations of a Theorem of Hecke</a>; <a href="https://doi.org/10.7907/bxgs-4825">10.7907/bxgs-4825</a></li> <li>Yu, Jize (2020) <a href="https://resolver.caltech.edu/CaltechTHESIS:06072020-212019225">The Integral Coefficient Geometric Satake Equivalence in Mixed Characteristic and its Arithmetic Applications</a>; <a href="https://doi.org/10.7907/53hf-xf98">10.7907/53hf-xf98</a></li> <li>Xiao, Xiao (Luciena) (2020) <a href="https://resolver.caltech.edu/CaltechThesis:06012020-105456611">On The Hecke Orbit Conjecture for PEL Type Shimura Varieties</a>; <a href="https://doi.org/10.7907/sjg9-0688">10.7907/sjg9-0688</a></li> <li>Lawless Hughes, Nathaniel (2019) <a href="https://resolver.caltech.edu/CaltechTHESIS:06012019-191035765">A Comparison of p-adic Motivic Cohomology and Rigid Cohomology</a>; <a href="https://doi.org/10.7907/DCJJ-E164">10.7907/DCJJ-E164</a></li> <li>Frimu, Andrei (2019) <a href="https://resolver.caltech.edu/CaltechTHESIS:05302019-185557287">Γ(p)-Level Structure on p-Divisible Groups</a>; <a href="https://doi.org/10.7907/8JYH-KT84">10.7907/8JYH-KT84</a></li> <li>Hong, Serin (2018) <a href="https://resolver.caltech.edu/CaltechTHESIS:05262018-184212374">On Hodge-Newton Reducible Local Shimura Data of Hodge Type</a>; <a href="https://doi.org/10.7907/4F4W-Y024">10.7907/4F4W-Y024</a></li> <li>Hwang, Brian W. (2016) <a href="https://resolver.caltech.edu/CaltechTHESIS:05272016-115010946">Constructing Self-Dual Automorphic Representations on General Linear Groups</a>; <a href="https://doi.org/10.7907/Z9WD3XKB">10.7907/Z9WD3XKB</a></li> <li>Yeo, Foo Yee (2016) <a href="https://resolver.caltech.edu/CaltechTHESIS:05272016-150420774">l-adic Cohomology of the Dual Lubin-Tate Tower via the Exterior Power</a>; <a href="https://doi.org/10.7907/Z9F769JT">10.7907/Z9F769JT</a></li> <li>Nastasescu, Maria Monica (2016) <a href="https://resolver.caltech.edu/CaltechTHESIS:06072016-183228371">Nonvanishing of L-Functions for GL(n)</a>; <a href="https://doi.org/10.7907/Z9QN64R2">10.7907/Z9QN64R2</a></li> <li>Fan, Sin Tsun Edward (2015) <a href="https://resolver.caltech.edu/CaltechTHESIS:05182015-134458833">On the Construction of Higher étale Regulators</a>; <a href="https://doi.org/10.7907/Z9BZ63Z1">10.7907/Z9BZ63Z1</a></li> <li>Chiriac, Liubomir (2015) <a href="https://resolver.caltech.edu/CaltechTHESIS:05292015-222022033">Special Frobenius Traces in Galois Representations</a>; <a href="https://doi.org/10.7907/Z9JM27J6">10.7907/Z9JM27J6</a></li> <li>Daigle, Gerald Joseph III (Jay) (2014) <a href="https://resolver.caltech.edu/CaltechTHESIS:05292014-153502602">On the Local Tamagawa Number Conjecture for Tate Motives</a>; <a href="https://doi.org/10.7907/RFXG-4E72">10.7907/RFXG-4E72</a></li> <li>Tucker-Drob, Robin Daniel (2013) <a href="https://resolver.caltech.edu/CaltechTHESIS:05162013-102038765">Descriptive Set Theory and the Ergodic Theory of Countable Groups</a>; <a href="https://doi.org/10.7907/ER96-5D06">10.7907/ER96-5D06</a></li> <li>Peskin, Laura Rebecca Rynne (2013) <a href="https://resolver.caltech.edu/CaltechTHESIS:06082013-032145943">Ordinary Mod p Representations of the Metaplectic Cover of p-adic SL₂</a>; <a href="https://doi.org/10.7907/G9SP-XG30">10.7907/G9SP-XG30</a></li> <li>Wong, Wing Hong Tony (2013) <a href="https://resolver.caltech.edu/CaltechTHESIS:05312013-153531964">Diagonal Forms, Linear Algebraic Methods and Ramsey-Type Problems</a>; <a href="https://doi.org/10.7907/5B5A-Q252">10.7907/5B5A-Q252</a></li> <li>van Garrel, Michel (2013) <a href="https://resolver.caltech.edu/CaltechTHESIS:05312013-164406051">Relative Mirror Symmetry and Ramifications of a Formula for Gromov-Witten Invariants</a>; <a href="https://doi.org/10.7907/9EQP-PD83">10.7907/9EQP-PD83</a></li> <li>Venkateswaran, Vidya (2012) <a href="https://resolver.caltech.edu/CaltechTHESIS:06082012-201004802">Vanishing Results for Hall-Littlewood Polynomials</a>; <a href="https://doi.org/10.7907/682S-3125">10.7907/682S-3125</a></li> <li>Wu, Yi-Tao (2012) <a href="https://resolver.caltech.edu/CaltechTHESIS:05292012-142939643">One the P-Adic Local Invariant Cycle Theorem</a>; <a href="https://doi.org/10.7907/ZJ9C-WT04">10.7907/ZJ9C-WT04</a></li> <li>Walji, Nahid (2011) <a href="https://resolver.caltech.edu/CaltechTHESIS:02132011-055211033">Supersingular Distribution, Congruence Class Bias, and A Refinement of Strong Multiplicity One</a>; <a href="https://doi.org/10.7907/WF31-3096">10.7907/WF31-3096</a></li> <li>Nelson, Paul D. (2011) <a href="https://resolver.caltech.edu/CaltechTHESIS:06042011-162333825">Some New Aspects of Mass Equidistribution</a>; <a href="https://doi.org/10.7907/MS8B-9T95">10.7907/MS8B-9T95</a></li> <li>Gadre, Vaibhav S. (2010) <a href="https://resolver.caltech.edu/CaltechTHESIS:04212010-181932550">Dynamics of Non-Classical Interval Exchanges</a>; <a href="https://doi.org/10.7907/082X-F229">10.7907/082X-F229</a></li> <li>Torres Ruiz, Rafael (2010) <a href="https://resolver.caltech.edu/CaltechTHESIS:06082010-161504738">Geography and Botany of Irreducible Symplectic 4-Manifolds with Abelian Fundamental Group</a>; <a href="https://doi.org/10.7907/A9WD-BN29">10.7907/A9WD-BN29</a></li> <li>Torres Ruiz, Rafael (2010) <a href="https://resolver.caltech.edu/CaltechTHESIS:06082010-161504738">Geography and Botany of Irreducible Symplectic 4-Manifolds with Abelian Fundamental Group</a>; <a href="https://doi.org/10.7907/A9WD-BN29">10.7907/A9WD-BN29</a></li> <li>Schroeder, Brian Leroy (2010) <a href="https://resolver.caltech.edu/CaltechTHESIS:10262009-141148765">On Elliptic Semiplanes, an Algebraic Problem in Matrix Theory, and Weight Enumeration of Certain Binary Cyclic Codes</a>; <a href="https://doi.org/10.7907/84VV-S966">10.7907/84VV-S966</a></li> <li>Gadre, Vaibhav S. (2010) <a href="https://resolver.caltech.edu/CaltechTHESIS:04212010-181932550">Dynamics of Non-Classical Interval Exchanges</a>; <a href="https://doi.org/10.7907/082X-F229">10.7907/082X-F229</a></li> <li>Lyons, Christopher Michael (2010) <a href="https://resolver.caltech.edu/CaltechTHESIS:05272010-144845323">The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One</a>; <a href="https://doi.org/10.7907/67VN-D890">10.7907/67VN-D890</a></li> <li>Cheong, Wan Keng (2010) <a href="https://resolver.caltech.edu/CaltechTHESIS:05212010-060144793">Gromov-Witten Invariants: Crepant Resolutions and Simple Flops</a>; <a href="https://doi.org/10.7907/6KZZ-MT72">10.7907/6KZZ-MT72</a></li> <li>Saha, Abhishek (2009) <a href="https://resolver.caltech.edu/CaltechETD:etd-05222009-162600">On Critical Values of L-Functions for Holomorphic Forms on GSp(4) X GL(2)</a>; <a href="https://doi.org/10.7907/5HWD-TH76">10.7907/5HWD-TH76</a></li> <li>Gurel, Aliekber (2008) <a href="https://resolver.caltech.edu/CaltechETD:etd-02042008-154002">An Exact Average Formula for the Symmetric Square L-Function at the Center</a>; <a href="https://doi.org/10.7907/MDF7-4E10">10.7907/MDF7-4E10</a></li> <li>Tsankov, Todor Dimitrov (2008) <a href="https://resolver.caltech.edu/CaltechETD:etd-05022008-113702">Amenability, Countable Equivalence Relations, and Their Full Groups</a>; <a href="https://doi.org/10.7907/N91C-HV48">10.7907/N91C-HV48</a></li> <li>Levaillant, Claire Isabelle (2008) <a href="https://resolver.caltech.edu/CaltechETD:etd-05292008-110016">Irreducibility of the Lawrence-Krammer Representation of the BMW Algebra of Type An-1</a>; <a href="https://doi.org/10.7907/2PFP-HG33">10.7907/2PFP-HG33</a></li> <li>Salazar-Lazaro, Carlos Harold (2007) <a href="https://resolver.caltech.edu/CaltechETD:etd-05222007-003651">Association Schemes, Codes, and Difference Sets</a>; <a href="https://doi.org/10.7907/8AMD-KY33">10.7907/8AMD-KY33</a></li> <li>Pelayo, Roberto Carlos (2007) <a href="https://resolver.caltech.edu/CaltechETD:etd-06042007-015951">Diameter Bounds on the Complex of Minimal Genus Seifert Surfaces for Hyperbolic Knot</a>; <a href="https://doi.org/10.7907/Q16J-V757">10.7907/Q16J-V757</a></li> <li>Yildiz, Bahattin (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-05182006-171405">Weight Enumerators and Gray Maps of Linear Codes over Rings</a>; <a href="https://doi.org/10.7907/tt26-bx10">10.7907/tt26-bx10</a></li> <li>Grynkiewicz, David Joseph (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-08102005-190712">Sumsets, Zero-Sums and Extremal Combinatorics</a>; <a href="https://doi.org/10.7907/M0QN-0V14">10.7907/M0QN-0V14</a></li> <li>Gealy, Matthew Thomas (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-12162005-124435">On the Tamagawa Number Conjecture for Motives Attached to Modular Forms</a>; <a href="https://doi.org/10.7907/X671-G590">10.7907/X671-G590</a></li> <li>Liu, Xiaoyu (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-05252006-010331">On Divisible Codes over Finite Fields</a>; <a href="https://doi.org/10.7907/96K8-Q767">10.7907/96K8-Q767</a></li> <li>Sorensen, Claus Mazanti (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-05152006-143522">Level-Raising for GSp(4)</a>; <a href="https://doi.org/10.7907/83EQ-J244">10.7907/83EQ-J244</a></li> <li>Navilarekallu, Tejaswi (2006) <a href="https://resolver.caltech.edu/CaltechETD:etd-05242006-225912">On the Equivariant Tamagawa Number Conjecture</a>; <a href="https://doi.org/10.7907/7HZ0-F068">10.7907/7HZ0-F068</a></li> <li>Achimescu, Sever (2005) <a href="https://resolver.caltech.edu/CaltechETD:etd-04272005-172254">Hilbert Modular Forms of Weight 1/2</a>; <a href="https://doi.org/10.7907/PBNR-3X07">10.7907/PBNR-3X07</a></li> <li>Katz, Daniel Jerome (2005) <a href="https://resolver.caltech.edu/CaltechETD:etd-05312005-175744">On p-Adic Estimates of Weights in Abelian Codes over Galois Rings</a>; <a href="https://doi.org/10.7907/6NSP-2A36">10.7907/6NSP-2A36</a></li> <li>Whitehouse, David (2005) <a href="https://resolver.caltech.edu/CaltechETD:etd-05242005-104909">The Twisted Weighted Fundamental Lemma for the Transfer of Automorphic Forms from GSp(4) to GL(4)</a>; <a href="https://doi.org/10.7907/26W7-8M37">10.7907/26W7-8M37</a></li> <li>Johnson, Jennifer Michelle (2005) <a href="https://resolver.caltech.edu/CaltechETD:etd-06062005-134908">Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields</a>; <a href="https://doi.org/10.7907/8T84-BQ83">10.7907/8T84-BQ83</a></li> <li>Colwell, Jason Andrew (2004) <a href="https://resolver.caltech.edu/CaltechETD:etd-04012004-151307">The Conjecture of Birch and Swinnerton-Dyer for Elliptic Curves with Complex Multiplication by a Nonmaximal Order</a>; <a href="https://doi.org/10.7907/G40X-ST27">10.7907/G40X-ST27</a></li> <li>Lin, Qiang (2004) <a href="https://resolver.caltech.edu/CaltechETD:etd-11182003-084742">Bloch-Kato Conjecture for the Adjoint of H¹(X₀(N)) with Integral Hecke Algebra</a>; <a href="https://doi.org/10.7907/QD4X-J291">10.7907/QD4X-J291</a></li> <li>Martin, Kimball Lee (2004) <a href="https://resolver.caltech.edu/CaltechETD:etd-05272004-224316">Four-Dimensional Galois Representations of Solvable Type and Automorphic Forms</a>; <a href="https://doi.org/10.7907/4W9M-GD42">10.7907/4W9M-GD42</a></li> <li>Vessenes, Rebecca Angel (2004) <a href="https://resolver.caltech.edu/CaltechETD:etd-05192004-121256">Generalized Foulkes' Conjecture and Tableaux Construction</a>; <a href="https://doi.org/10.7907/4C12-SV65">10.7907/4C12-SV65</a></li> <li>Dukes, Peter James (2003) <a href="https://resolver.caltech.edu/CaltechETD:etd-07142002-210918">Convex Cone Conditions on the Structure of Designs</a>; <a href="https://doi.org/10.7907/V7F7-FQ47">10.7907/V7F7-FQ47</a></li> <li>Erdoğan, Mehmet Burak (2002) <a href="https://resolver.caltech.edu/CaltechTHESIS:01242012-162804546">Mapping Properties of Certain Averaging Operators</a>; <a href="https://doi.org/10.7907/JRFS-4S52">10.7907/JRFS-4S52</a></li> <li>Garduño, Antonio Hernández (2002) <a href="https://resolver.caltech.edu/CaltechETD:etd-12122003-115521">Regularization of the Amended Potential around a Symmetric Configuration</a>; <a href="https://doi.org/10.7907/NBWA-EQ57">10.7907/NBWA-EQ57</a></li> <li>Garduño, Antonio Hernández (2002) <a href="https://resolver.caltech.edu/CaltechETD:etd-12122003-115521">Regularization of the Amended Potential around a Symmetric Configuration</a>; <a href="https://doi.org/10.7907/NBWA-EQ57">10.7907/NBWA-EQ57</a></li> <li>Erdoğan, Mehmet Burak (2002) <a href="https://resolver.caltech.edu/CaltechTHESIS:01242012-162804546">Mapping Properties of Certain Averaging Operators</a>; <a href="https://doi.org/10.7907/JRFS-4S52">10.7907/JRFS-4S52</a></li> <li>Pavelich, Janet Mary (2002) <a href="https://resolver.caltech.edu/CaltechTHESIS:01262012-103823681">Commuting Equivalence Relations and Scales on Differentiable Functions</a>; <a href="https://doi.org/10.7907/RHBN-ZN06">10.7907/RHBN-ZN06</a></li> <li>Pavelich, Janet Mary (2002) <a href="https://resolver.caltech.edu/CaltechTHESIS:01262012-103823681">Commuting Equivalence Relations and Scales on Differentiable Functions</a>; <a href="https://doi.org/10.7907/RHBN-ZN06">10.7907/RHBN-ZN06</a></li> <li>Wang, Song (2002) <a href="https://resolver.caltech.edu/CaltechTHESIS:02012012-151008104">An Effective Version of the Grunwald-Wang Theorem</a>; <a href="https://doi.org/10.7907/dmev-ny09">10.7907/dmev-ny09</a></li> <li>Zare, Douglas J. (1999) <a href="https://resolver.caltech.edu/CaltechTHESIS:11212019-165707283">Geometric Invariants in Contact Structures on 3-Manifolds</a>; <a href="https://doi.org/10.7907/ywkx-tc69">10.7907/ywkx-tc69</a></li> <li>Ku, Chao (1999) <a href="https://resolver.caltech.edu/CaltechTHESIS:11212019-153036477">Dade's Ordinary Conjecture for the Finite Unitary Groups in the Defining Characteristic</a>; <a href="https://doi.org/10.7907/xhe3-q841">10.7907/xhe3-q841</a></li> <li>Li, Xuhua (1998) <a href="https://resolver.caltech.edu/CaltechTHESIS:01202017-113604553">Some results on projective equivalence relations</a>; <a href="https://doi.org/10.7907/pn2n-7z61">10.7907/pn2n-7z61</a></li> <li>Choi, Yanglim (1998) <a href="https://resolver.caltech.edu/CaltechTHESIS:11202019-173910635">(3,1)-Surfaces via Branched Surfaces</a>; <a href="https://doi.org/10.7907/yw04-qx32">10.7907/yw04-qx32</a></li> <li>Ajoodani-Namini, Shahin (1998) <a href="https://resolver.caltech.edu/CaltechTHESIS:11202019-172054366">Large Sets of t-Designs</a>; <a href="https://doi.org/10.7907/y84m-hs59">10.7907/y84m-hs59</a></li> <li>Ji, Shujuan (1995) <a href="https://resolver.caltech.edu/CaltechETD:etd-10052007-134336">Arithmetic and geometry on triangular Shimura curves</a>; <a href="https://doi.org/10.7907/xyjv-sv57">10.7907/xyjv-sv57</a></li> <li>Lesin, Alexander Abraham (1994) <a href="https://resolver.caltech.edu/CaltechTHESIS:05082013-153012294">On the Mumford-Tate Conjecture for Abelian Varieties with Reduction Conditions</a>; <a href="https://doi.org/10.7907/g2mp-jn54">10.7907/g2mp-jn54</a></li> <li>Ashlock, Daniel Abram (1990) <a href="https://resolver.caltech.edu/CaltechETD:etd-06022006-085847">A Theory of Permutation Polynomials Using Compositional Attractors</a>; <a href="https://doi.org/10.7907/24QB-M779">10.7907/24QB-M779</a></li> <li>Ashlock, Daniel Abram (1990) <a href="https://resolver.caltech.edu/CaltechETD:etd-06022006-085847">A Theory of Permutation Polynomials Using Compositional Attractors</a>; <a href="https://doi.org/10.7907/24QB-M779">10.7907/24QB-M779</a></li> <li>Feres, Renato (1989) <a href="https://resolver.caltech.edu/CaltechETD:etd-05232007-115904">Geodesic Flows on Manifolds of Negative Curvature with Smooth Horospheric Foliations</a>; <a href="https://doi.org/10.7907/f6yt-bf73">10.7907/f6yt-bf73</a></li> <li>Feres, Renato (1989) <a href="https://resolver.caltech.edu/CaltechETD:etd-05232007-115904">Geodesic Flows on Manifolds of Negative Curvature with Smooth Horospheric Foliations</a>; <a href="https://doi.org/10.7907/f6yt-bf73">10.7907/f6yt-bf73</a></li> </ul>