• On semi-finite vector bundles with connection over Kahler manifolds 

  Amrutiya, Sanjay; Biswas, Indranil (Cornell University Library, 2025-08)

  Let X be a compact connected Kähler manifold. We consider the category \mathcal{C}^\mathrm{EC}(X) of flat holomorphic connections (E,\, \nabla^E) over X satisfying the condition that the underlying holomorphic vector bundle ...
• On the classification of C*-algebras of twisted isometries with finite dimensional wandering spaces 

  Bhatt, Shreema Subhash; Biswas, Surajit; Saurabh, Bipul (Cornell University Library, 2025-06)

  Let \( m, n \in \mathbb{N}_0 \), and let \( X \) be a closed subset of \( \mathbb{T}^{\binom{m+n}{2}} \). We define \( C^{m,n}_X \) to be the universal \( C^* \)-algebra among those generated by \( m \) unitaries and \( n ...
• Quadratic embedding constants of Cartesian products and joins of graphs 

  Choudhury, Projesh Nath; Nandi, Raju (Cornell University Library, 2025-08)

  The quadratic embedding constant (QEC) of a finite, simple, connected graph originated from the classical work of Schoenberg [Ann. of Math., 1935] and [Trans. Amer. Math. Soc., 1938] on Euclidean distance geometry. In this ...
• On characterising analytically unramified local rings 

  Kodiyalam, Vijay; Verma, Jugal K. (Cornell University Library, 2025-07)

  We generalise a classic result of Rees to characterise analytically unramified local rings using Rees algebras of modules.
• Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients 

  Balodi, Mamta; Banerjee, Abhishek; Kour, Surjeet (Cornell University Library, 2025-08)

  We obtain Gerstenhaber type structures on Davydov-Yetter cohomology with coefficients in half-braidings for a monoidal functor. Our approach uses a formal analogy between half-braidings of a monoidal functor and the entwining ...
• Non-Rascoe partitions and a rank parity function associated to the Rogers-Ramanujan partitions 

  Dixit, Atul; Kumar, Gaurav; Srivastava, Aviral (Cornell University Library, 2025-08)

  We study the generating function of the excess number of Rogers-Ramanujan partitions with odd rank over those with even rank, and, using combinatorial and analytical techniques, show that this generating function is closely ...
• Some identities of the sums-of-tails type 

  Dixit, Atul; Kumar, Gaurav; Srivastava, Aviral (Cornell University Library, 2025-08)

  A new sums-of-tails identity involving two parameters b and d is obtained and is used to derive more results of similar type. One of Ramanujan's sums-of-tails identities from the Lost Notebook is shown to be a special case ...
• Rook decomposition of the partition function 

  Sharan, N. Guru (Cornell University Library, 2025-07)

  The rook numbers are fairly well-studied in the literature. In this paper, we study the max-rook number of the Ferrers boards associated to integer partitions. We show its connections with the Durfee triangle of the ...
• Invariants of toric double determinantal rings 

  Biermann, Jennifer; Negri, Emanuela De; Gasanova, Oleksandra; Musapaşaoğlu, Aslı; Roy, Sudeshna (Cornell University Library, 2025-06)
• Positivity of GCD tensors 

  Choudhury, Projesh Nath; Panigrahy, Krushnachandra (Cornell University Library, 2025-06)
• Periodic homogenization for switching diffusions 

  Pahlajani, Chetan D. (Cornell University Library, 2025-06)

  In the present work, we explore homogenization techniques for a class of switching diffusion processes whose drift and diffusion coefficients, and jump intensities are smooth, spatially periodic functions; we assume full ...
• Tangent cones of concatenated numerical semigroups 

  Mehta, Ranjana; Saha, Joydip; Sengupta, Indranath (Cornell University Library, 2025-06)

  We study the tangent cone at the origin and the Hilbert series for a family of numerical semigroups generated by concatenation of arithmetic sequences. We prove that all the concatenation classes have Cohen-Macaulay tangent ...
• Vanishing of dimensions and nonexistence of spectral triples on compact Vilenkin groups 

  Biswas, Surajit; Saurabh, Bipul (Cornell University Library, 2025-04)

  We compute the spectral dimension, the dimension of a symmetric random walk, and the Gelfand-Kirillov dimension for compact Vilenkin groups. As a result, we show that these dimensions are zero for any compact, totally ...
• On the second hardy-littlewood conjecture 

  Chahal, Bittu; Elma, Ertan; Fellini, Nic; Vatwani, Akshaa; Vo, Do Nhat Tan (Cornell University Library, 2025-03)
• Revisiting token sliding on chordal graphs 

  Adak, Rajat; Nanoti, Saraswati Girish; Tale, Prafullkumar (Cornell University Library, 2025-02)

  In this article, we revisit the complexity of the reconfiguration of independent sets under the token sliding rule on chordal graphs. In the \textsc{Token Sliding-Connectivity} problem, the input is a graph G and an integer ...
• Inversion of generalized Radon transform over symmetric m-tensor fields in Rn 

  Abhishek, Anuj; Mishra, Rohit Kumar; Thakkar, Chandni (Cornell University Library, 2025-02)

  In this work, we study a set of generalized Radon transforms over symmetric m-tensor fields in Rn. The longitudinal/transversal Radon transform and corresponding weighted integral transforms for symmetric m-tensor field ...
• On a function of Ramanujan twisted by a logarithm 

  Dixit, Atul; Sathyanarayana, Sumukha; Sharan, N. Guru (Cornell University Library, 2025-02)

  A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on page 220 of Ramanujan's Lost Notebook as well as a corresponding recent result ...
• The Mordell-Tornheim zeta function: Kronecker limit type formula, series evaluations and applications 

  Sathyanarayana, Sumukha; Sharan, N. Guru (Cornell University Library, 2025-01)

  In this paper, we establish Kronecker limit type formulas for the Mordell-Tornheim zeta function Θ(r,s,t,x) as a function of the second as well as the third arguments. As an application of these formulas, we obtain results ...
• Hilbert-Kunz multiplicity of powers of ideals in dimension two 

  Stefani, Alessandro De; Masuti, Shreedevi K.; Rossi, Maria Evelina; Verma, Jugal K. (Cornell University Library, 2024-12)

  We study the behavior of the Hilbert-Kunz multiplicity of powers of an ideal in a local ring. In dimension two, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in ...
• The Rogers-Ramanujan dissection of a theta function 

  Dixit, Atul; Kumar, Gaurav (Cornell University Library, 2024-11)

  Page 27 of Ramanujan's Lost Notebook contains a beautiful identity which not only gives, as a special case, a famous modular relation between the Rogers-Ramanujan functions G(q) and H(q) but also a relation between two ...

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