• Reconstruction of scalar functions and vector fields from weighted V-line transforms with swinging branches 

  Ambartsoumian, Gaik; Mishra, Rohit Kumar; Zamindar, Indrani (Cornell University Library, 2025-08)

  Weighted V-line transforms map a symmetric tensor field of order m\ge0 to a linear combination of certain integrals of those fields along two rays emanating from the same vertex. A significant focus of current research in ...
• Closed Cohen-Macaulay completion of binomial edge ideals 

  Saha, Kamalesh; Sengupta, Indranath (World Scientific Publishing, 2025-09)

  Let CCM denote the class of closed graphs with Cohen-Macaulay binomial edge ideals and PIG denote the class of proper interval graphs. Then CCM ⊆ PIG The PIG -completion problem is a classical problem in graph theory as ...
• The head wave transform 

  Hoop, Maarten V. de; Kykkänen, Antti; Mishra, Rohit Kumar (Cornell University Library, 2025-09)

  We introduce and study a new integral ray transform called the head wave transform. The head wave transform integrates a function along a piecewise linear (in general geodesic) path consisting of three parts. The geometry ...
• Games on graphs and graphs from games 

  Nanoti, Saraswati Girish (Indian Institute of Technology Gandhinagar, 2024)
• Semi-finite bundles and fundamental group schemes 

  Hasmukhbhai, Adroja Pavan (Indian Institute of Technology Gandhinagar, 2024)
• A study of q-deformation of special orthogonal groups and their homogeneous spaces 

  Bhuva, Akshay (Indian Institute of Technology Gandhinagar, 2024)
• Jet spaces and hodge theoretic results 

  Mishra, Rajat Kumar (Indian Institute of Technology Gandhinagar, 2025)
• Voronoï-type summation identities and omega results for a class of arithmetical functions 

  Sahoo, Jagannath (Indian Institute of Technology Gandhinagar, 2025)
• K-stability of C∗-algebras generated by isometries and unitaries with twisted commutation relations 

  Bhatt, Shreema Subhash; Saurabh, Bipul (Springer, 2025-12)

  In this article, we define a family of C∗-algebras that are generated by a finite set of unitaries and isometries satisfying certain twisted commutation relations and prove their K-stability. This family includes the ...
• 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 ...
• The Rogers-Ramanujan dissection of a theta function 

  Dixit, Atul; Kumar, Gaurav (Springer, 2025-08)

  Page 27 of Ramanujan’s Lost Notebook contains a beautiful identity which, as shown by Andrews, not only gives a famous modular relation between the Rogers–Ramanujan functions G(q) and H(q) as a corollary but also a relation ...
• 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 ...
• Joint reductions of complete modules and their mixed Buchsbaum-Rim polynomials 

  Verma, Jugal K. (2025-07-21)
• The v-number of binomial edge ideals 

  Balu, Ambhore Siddhi (2025-07-21)
• 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 ...

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