Browsing by Author "Kailash Misra, Member"
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- Additional Symmetries of the Extended Toda Hierarchy(2015-06-17) Wheeless, William Bennett; Bojko Bakalov, Chair; Stephen Reynolds, Graduate School Representative; Kailash Misra, Member; Ernest Stitzinger, Member; Naihuan Jing, Member
- Advances in Logarithmic Vertex Algebras.(2024-06-26) Hatam, Hassan; Bojko Bakalov, Chair; Logan Opperman, Graduate School Representative; Kailash Misra, Member; Naihuan Jing, Member; Andrew Manion, Member
- Algebras of Up- and Down-operators on Posets.(2021-06-21) Smith, Christian Alec; Ricky Liu, Chair; Jessica Schmidt, Graduate School Representative; Nathan Reading, Member; Seth Sullivant, Member; Kailash Misra, Member
- Classification of Orbifold Modules under an Automorphism of Order Two.(2014-07-25) Elsinger, Jason Robert; Bojko Bakalov, Chair; Kailash Misra, Member; Jeffrey Reid, Graduate School Representative; Ernest Stitzinger, Member; Naihuan Jing, Member
- Classifying the Fine Structures of Involutions Acting on Root Systems(2015-05-07) Ivy, Samuel Jamal; Aloysius Helminck, Chair; Amassa Fauntleroy, Member; Kailash Misra, Member; Ernest Stitzinger, Member; David Rieder, Graduate School Representative
- Cluster Algebras and Mutation-Linear Algebra: Folding, Dominance, and the Orbifolds Model.(2018-05-10) Viel, Shira Coleman Polster; Nathan Reading, Chair; Patricia Hersh, Member; Seth Sullivant, Member; Kailash Misra, Member; Justin Post, Minor
- Codes and Shifted Codes of Partitions and Compositions.(2012-01-27) Hird, John; Ernest Stitzinger, Co-Chair; Naihuan Jing, Co-Chair; Patricia Hersh, Member; Kailash Misra, Member; George Hess, Graduate School Representative
- Combinatorial Techniques for Module Categories over Positive Characteristic Web Categories.(2024-03-08) McGovern, Emily Catherine; Corey Jones, Chair; Nathan Reading, Member; Kailash Misra, Member; Radmila Sazdanovic, Member; Richard Roe, Graduate School Representative
- Complemented Leibniz Algebras.(2014-11-25) Ray, Chelsie Ann Batten; Ernest Stitzinger, Chair; Kailash Misra, Member; Mohan Putcha, Member; Thomas Lada, Member; Mehmet Caner, Graduate School Representative
- Computing Galois Groups for Certain Classes of Ordinary Differential Equations(2001-07-25) Berman, Peter Hillel; Michael Singer, Chair; Ronald Fulp, Member; Kailash Misra, Member; Larry Norris, MemberAs of now, it is an open problem to find an algorithmthat computes the Galois group G of an arbitrary linear ordinary differential operator L in C(x)[D]. We assume thatC is a computable, characteristic-zero,algebraically closed constant field with factorization algorithm.In this dissertation, we present new methods forcomputing differential Galois groups in two special cases.An article by Compoint and Singer presents a decision procedure to compute G in case L is completely reducible or, equivalently, G is reductive. Here, we present the results of an article by Berman and Singerthat reduces the case of a productof two completely reducible operators to thatof a single completely reducible operator;moreover, we give an optimization of that article's core decision procedure.These results rely on results from cohomologydue to Daniel Bertrand.We also give a set of criteria to compute the Galois group of a differential equation of the formy⁽³⁾ + ay' + by = 0, a, b in C[x].Furthermore, we present an algorithm to carry out this computation in case C is the field of algebraic numbers.This algorithm applies the approach used inan article by M. van der Put to study order-two equations with one or two singularpoints. Each step of the algorithm employs a simple, implementable test based on some combination of factorization properties, properties of associated operators,and testing of associated equations for rational solutions. Examples of the algorithm and a Maple implementation writtenby the author are provided.
- Conjugacy and Other Results in Leibniz Algebras.(2017-02-10) White, Ashley Walls; Ernest Stitzinger, Chair; Radmila Sazdanovic, Member; Mohan Putcha, Member; Kailash Misra, Member; Robert Golub, Graduate School Representative
- The Connections Between A-Infinity and L-Infinity Algebras.(2013-03-25) Tolley, Melissa Marie; Thomas Lada, Chair; Ernest Stitzinger, Member; Kailash Misra, Member; Mohan Putcha, Member; Michael Wineland, Graduate School Representative
- Darboux Transformations and Fay Identities of the Extended Bigraded Toda Hierarchy.(2019-03-28) Yadavalli, Anila; Bojko Bakalov, Chair; Kailash Misra, Member; Irina Kogan, Member; Ernest Stitzinger, Member; Allen Cohen, Graduate School Representative
- Factor Systems and Schur Multipliers for the Algebras of Loday.(2022-05-04) Mainellis, Erik Karsten; Ernest Stitzinger, Chair; Radmila Sazdanovic, Member; Kailash Misra, Member; Naihuan Jing, Member; Herle McGowan, Graduate School Representative
- Finite Dimensional Nilpotent Leibniz Algebras with Isomorphic Maximal Subalgebras.(2022-03-15) Farris, Lindsey James; Ernest Stitzinger, Chair; Kailash Misra, Member; Tien Khai Nguyen, Member; Shuting Wang, Minor
- Formations of Leibniz Algebras.(2018-02-16) Leonesio, Justin Michael; Ernest Stitzinger, Chair; Min Kang, Member; Mohan Putcha, Member; Kailash Misra, Member; Shu Yang, Graduate School Representative
- Frattini Properties of Leibniz Algebras.(2014-11-14) McAlister, Allison Renee; Ernest Stitzinger, Chair; Maria Correa, Graduate School Representative; Bojko Bakalov, Member; Thomas Lada, Member; Kailash Misra, Member
- Generalizations and Analogs of the Frattini Subalgebra.(2011-03-23) Stagg, Kristen; Ernest Stitzinger, Chair; Mohan Putcha, Member; Thomas Lada, Member; Kailash Misra, Member
- Hall-Littlewood Vertex Operators and the Kostka-Foulkes Polynomials.(2016-05-18) Bryan, Timothee William; Naihuan Jing, Co-Chair; Ernest Stitzinger, Co-Chair; Kailash Misra, Member; Mohan Putcha, Member; Leonard Stefanski, Graduate School Representative
- Hochschild-Serre Spectral Sequence for Lie Conformal Algebras.(2021-11-05) Aloudah, Noufe Abdulkareem A; Bojko Bakalov, Chair; Kailash Misra, Member; Naihuan Jing, Member; Tye Lidman, Member; Donald Sheehy, Graduate School Representative
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