WebAfter graduating from Cornell, Chelluri pursued graduate studies in mathematics at Rutgers University. Admissions | Center for Applied Mathematics 3 nationwide for gifts and bequests from alumni. Mathematics. WebAlumni Engagement. In addition, many practicing mathematicians are involved in teaching at some level, and that is why we require every student to undergo our teaching assistant training program and to participate in the teaching mission of the mathematics department. Approximately 40 tenured and tenure-track faculty represent a broad spectrum of current mathematical research both theoretical and applied. 228 Frank H.T. Department of Mathematics | Department of Monitoring and Uncertainty in Scientific Computing, Thesis: Dynamic Document Processing in Clustered Collections, Thesis: The Effect of Algebraic Structure on the Computational Complexity of Matrix Multiplication, Thesis: Stochastic Models for the Analysis of Traffic Video, Thesis: Efficient Parallel Algorithms for Disjoint Paths and Connectivity, Advisor: Kavita Bala/ Steve Marschner, Thesis: Modeling and rendering appearance of hair and textile fibers, Thesis: Computer Vision Algorithms for Magnetic Resonance Imaging, Thesis: Progress Measures and Finite Arguments for Infinite Computations, Thesis: Metamathematical Extensibility in Type Theory, Thesis: Computer Graphics on Massively Parallel Machines, Thesis: Graph Based Algorithms for Scene Reconstruction from Two or More Views, Thesis: Techniques for Simplifying the programming of Distributed Systems, Thesis: The Theory of Rectangular Hybrid Automata, Thesis: Understanding People from RGBD Data for Assistive Robots, Thesis: Type Theoretical Foundations for Data Structures, Classes, and Objects, Thesis: Youtopia: A community Database Management System, Thesis: Relational Algebraic Techniques for the Synthesis of Sparse Matrix Programs, Thesis: Avid: A System for the Interactive Development of Verifiably Correct Programs, Thesis: The Complexity of Optimization Problems, Thesis: Probabilistic Techniques for Constraint Satisfaction Problems, Thesis: Distributed ML: Abstractions for Efficient & Fault-Tolerant Programming, Thesis: The Galois System: Optimistic Parallelization of Irregular Programs, Thesis: Algorithms for Network Management, Thesis: Inter-Document Similiarities, Language Models, and Ad Hoc Information Retrieval, Thesis: The Specification of Data-Directed Interactive User-Computer Dialogues, Thesis: Building tractable probabilistic graphical models for computer vision problems, Thesis: Audiovisual Physics-Based Simulation, Thesis: Leveraging Human Insights Into Problem Structure for Scientific Discovery, Thesis: Representation without Representationalism, Thesis: Towards Precise Network Measurements, Thesis: Joint-Stochastic Spectral Inference for Robust Co-occurence Modeling and Latent Topic Analysis, Thesis: Regret Minimization and Related Decision Rules, Thesis: Proof rules for Communicating Sequential Processes, Thesis: Automatic Correction of Syntax Errors in Programming Languages, Thesis: Closure of Classes of Formal Languages under Substitution Operators, Thesis: Unsolvability Considerations in Computational Complexity, Thesis: Routing and Topology Control in Multihop Wireless Ad Hoc Networks, Thesis: Lower Bounds in Computational Complexity, Thesis: Compiling for NUMA Parallel Machines, Thesis: Learning random field models for computer vision, Thesis: Learning Geometry, Appearance and Motion in the Wild, Thesis: Towards Robust Perception Systems in Real World Environments, Thesis: Optimal Oblivious RAM and Its Extensions, Thesis: Indexing in Peer-to-Peer Systems, Thesis: Accurate and Reliable Algorithms for Global Illumination, Thesis: Applications of Numerical Optimization in Graphics and Games, Thesis: Essential Uses of Expressions in Set-Oriented Languages, Thesis: Towards a Secure Federated Information System, Thesis: Building High Performance Adaptive Communication Systems for Components, Thesis: Incremental Computation: A Semantics-Based Systematic Transformational Approach, Thesis: Primitives for Match-Action in Theory and Practice, Thesis: Resource Bounded Kolmogorov Complexity, A Link between Computational Complexity & Information Theory, Thesis: Forward and Inverse Rendering with Gradient-based Optimization, Thesis: New Models for Data Privacy and Voting, Thesis: Numerical Methods for Hypersingular and Near-Singular Boundary Integrals in Fracture Mechanics, Thesis: Effective online decision-making in complex multi-agent systems, Thesis: Defining and Enforcing Privacy in Data Sharing, Thesis: Reduced Communication for Distributed Transactions through Time-Dependent Guarantees, Thesis: Algorithms for computational description of large scale conformational transitions of proteins, Thesis: Extensions of Kleene Algebra for Program Verification, Thesis: Secure Computation in the Real World, Thesis: Partial Parsing for Linguistic Relationship Identification, Thesis: Operating Systems Abstractions for Software Packet Processing in Datacenters, Thesis: Automatic Application-Level Checkpointing for High Performance Computing Systems, Thesis: Inverse Rendering for Computer Graphics, Thesis: Expressiveness, Efficiency, and Privacy in Advertising Auctions, Thesis: Computer Vision for Spatio-Temporal Analysis of Internet Photo Collections, Thesis: Heterogeneous Relational Query Processing for Extensibility and Scalability, Thesis: An Assertional Characterization of Serializability and Locking, Thesis: Correctness Results For Lambda Calculus Interpreters, Thesis: Language Features for Process Interaction and Access Control, Thesis: Polynomial and Abstract Subrecursive Classes, Thesis: An Analysis & Implementation of Davidon's Techniques for Unconstrained Optimization, Thesis: Asymptotic Complexity of Iterative Computation, Thesis: Inductive Definition in Type Theory, Thesis: Symbolic Compilation Techniques for Array Computations, Thesis: Sequence Capacity and Flow in Protein Structures: A Computational Framework, Thesis: Spreading Rumors Cheaply, Quickly & Reliabily, Thesis: Scalable and Interpretable Approaches for Learning to Follow Natural Language Instructions, Thesis: High-Precision Information Retrieval, Thesis: Investigations on Sets and Types, Thesis: Analyzing LIfe-logging Image Sequences, Thesis: Parallel Algorithms for Image Processing, Thesis: Rendering multiple scattering in hair and other discrete random media, Thesis: Simplicial Mesh Generation with Applications, Thesis: Embedding Methods for Generative Modeling and Visual Data Analysis, Thesis: The Limits of Provable Efficiency in Cryptography, Thesis: Concurrent Refinement in Nuprl. Cornell counted 245,027 living alumni as of August 2008. Graduate Field Faculty WebContact Information Website: https://www.cam.cornell.edu/cam/academics/phd-program Email: appliedmath@cornell.edu Phone: 607 255-0986 614 Frank H. T. Rhodes Hall Gifts to the fellowship fund directly support the most talented and diverse students. Graduate education has been part of the universitys mission since its founding in 1865. Furthermore, aside from providing research training, we prepare our students for careers as professional mathematicians in a variety of settings including academia, business, and government. Thesis: Tactic-Based Modeling of Cxognitive Inference on Logically Structured Notation, Thesis: Designing Algorithms for Social Good, Thesis: Extracting Hidden Structures In Social And Information Networks, Thesis: New Applications of Data Redundancy Schemes in Cloud and Datacenter Systems, Thesis: Unbiased Learning-to-Rank from Logged Implicit Feedback, Thesis: Broadening the Applicability of Failure Detectors, Thesis: Locality Enhancement of Imperfectly-Nested Loop Nests, Thesis: Compaction-Based Parallelization, Thesis: Replicated Objects-Design and Verification, Thesis: Coverage and Connectivity in Three-Dimensional Wireless Sensor Networks, Thesis: Exact and Approximate Algorithms for Some Combinatorial Problems, Thesis: Automatic Hypertext Construction, Thesis: On the Correctness of Gossip-based Membership Protocols, Thesis: A Non-Type-Theoretic Semantics for Type-Theoretic Language, Thesis: Proving Temporal Properties of Concurrent ProgramsP: A Non-Temporal Approach, Thesis: Building Evolvable Distributed Systems for Dynamic Data Center Environments, Thesis: Learning to match images with keypoints and descriptors, Thesis: Understanding the Message Logging Paradigm for Masking Process Crashes, Thesis: Approximation Algorithms for Traveling Salesman Problems Based on Linear Programming Relaxations, Thesis: Sound Synthesis For Nonlinearly Deformable Bodies, Thesis: Trust in Proof Assistants: Opportunities and Limitations, Thesis: The Document Representation Problem: An Analysis of LSI and Iterative Residual Rescaling, Thesis: Network Design and Management with Strategic Agents, Thesis: MayBMS: A System for Managing Large Amounts of Uncertain Data, Thesis: Interactive Query Formulation and Feedback Experiments in Information Retrieval, Thesis: Scalable and Heterogeneous Rendering of Subsurface Scattering Materials, Thesis: The Design and Implementation of a Cooperative Program Development Environment, Thesis: Network-Aware Adaptation in Mobile File Systems, Thesis: Analysis of Large-Scale Data from Human Activities on the Web, Thesis: Sequential Decision Making With Resource Constraints, Thesis: Geometric Optimization and Computational Complexity, Thesis: Computational Complexity and Nondeterminism in Flowchart Programs, Thesis: Reliable Communication for Datacenters, Thesis: Harnessing Tunnels for Dirty-Slate Network Solutions, Thesis: Dynamic Simulation of Non-penetrating Rigid Bodies, Thesis: A Graphical, Language-Based Editor for Generic Solid Models Represented by Constraints, Thesis: An Efficient, Unifying Approach to Simulation Using Virtual Machines, Thesis: Implementing Reflection in Nuprl, Thesis: Building Problem Solving Environments in Constructive Type Theory, Thesis: A Language-Based Approach to Protocol Construction, Thesis: Languages for Path-Based Network Programming, Thesis: A Logic for Correct Program Development, Thesis: Testing Properties of Distributions, Thesis: Area-Universal Interconnection Networks for VLSI Parallel Computers, Thesis: Translating FORTRAN to Dataflow Graphs, Thesis: Understanding Visual Appearance on the Web Using Large-Scale Crowdsourcing and Deep Learning, Thesis: Reasoning about Information Disclosure in Relational Databases, Thesis: Automated Complexity Analysis of NuPRL Extracts, Thesis: Approximately-Optimal Mechanisms in Auction Design, Search Theory, and Matching Markets, Thesis: A Reactive Approach for Use-Based Privacy, Thesis: QR Factorization Algorithms for Coarse-Grained Distributed Systems, Thesis: Matrix factorization and Deep Learning in Scientific Domains: Understanding When and Why It Works, Thesis: A Graph-Theoretic Approach to Network Coding, Thesis: Generalizable Learning for Natural Language Instruction Following on Physical Robots, Thesis: A Logic for the Russell Programming Language, Thesis: The Solution of Nonlinear Operator Equations by A-stable Integration Techniques, Thesis: Programmable Force Fields for Distributed Manipulation, and Their Implementation Using Micro-fabricated Actuator Arrays, Thesis: Computational Complexity and the Existence of Complexity Gaps, Thesis: Computational Lighting Design and Image Filtering for Material Enhancement, Thesis: A Routing Infastructure for Wide-Area Multicast Applications, Thesis: Randomized Agreement Protocols & Distributed Deadlock Detection, Thesis: Inexact Reflective Newton Methods for Large-Scale Optimization Subject to Bound Constraints, Thesis: Empirical Methods for Fine-grained Opinion Extraction from Text, Thesis: Building a Virtually Fault-Tolerant System, Thesis: Efficient Geometric Algorithms for Robot Sensing and Control, Thesis: Portable checkpointing for parallel applications, Thesis: Algorithmic Methods in Genetic Mapping, Thesis: Program Schemata & Information Flow: A Study of Some Aspects of the Schema Power of Data Structures, Thesis: Localization, Mapmaking, and Distributed Manipulation wiht Flexible, Robust Mobile Robots, Thesis: Massive Query Expansion for 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