• Gauge-Theoretic aspects of parabolic bundles over real curves 

  Amrutiya, Sanjay; Jaiswal, Ayush (Rocky Mountain Mathematics Consortium, 2025-06)

  We study the gauge-theoretic aspects of real and quaternionic parabolic bundles over a real curve ( X , σ X ) , where X is a compact Riemann surface and σ X is an anti-holomorphic involution. For a fixed real or quaternionic ...
• Image of ideals under linear K-derivations and the LNED conjecture 

  Gupta, Sakshi (Elsevier, 2025-09)

  Let K be a field of characteristic zero and K[X] = K[x1, x2,...,xn] be the polynomial algebra in n variables over K. We show that, for a linear K-derivation d of K[X] and the maximal ideal m = (x1, x2,...,xn) of K[X], if ...
• On Cohen-Macaulay Posets of dimension two and permutation graphs 

  Jahangir, Rizwan; Veer, Dharm (Springer, 2025-07)

  We characterize Cohen-Macaulay posets of dimension two; they are precisely the shellable and strongly connected posets of dimension two. We also give a combinatorial description of these posets. Using the fact that ...
• On the core and adjoint of the product of complete ideals in two-dimensional regular local rings 

  D'Cruz, Clare; Dubey, Saipriya; Verma, Jugal K. (World Scientific Publishing, 2025-06)

  Using joint reductions of complete ideals, we find expressions for the core and adjoints of the product of complete ideals in a two-dimensional regular local ring. We also compute their colengths. Our results strengthen a ...
• On characterising analytically unramified local rings 

  Kodiyalam, Vijay; Verma, Jugal K. (Elsevier, 2025-11)

  We generalise a classic result of Rees to characterise analytically unramified local rings using Rees algebras of modules.
• Graded components of local cohomology modules supported C-monomial ideals 

  Puthenpurakal, Tony J.; Roy, Sudeshna (Elsevier, 2025-11)

  Let A be a Dedekind domain of characteristic zero such that its localization at every maximal ideal has mixed characteristic with finite residue field. Let R = A[X1,...,Xn] be a polynomial ring and I = (a1U1,...,acUc) ⊆ R ...
• On a function of Ramanujan twisted by a logarithm 

  Dixit, Atul; Sathyanarayana, Sumukha; Sharan, N. Guru (Springer, 2025-07)

  A two-term functional equation for an infinite series involving the digamma function and a logarithmic factor is derived. A modular relation on p. 220 of Ramanujan’s Lost Notebook as well as a corresponding recent result ...
• Projective closures of affine monomial curves 

  Saha, Joydip; Sengupta, Indranath; Srivastava, Pranjal (World Scientific Publishing, 2025-06)

  We study the projective closures of three important families of affine monomial curves in dimension 4, namely the Backelin curve, the Bresinsky curve and the Arslan curve, in order to explore possible connections between ...
• Hilbert-Kunz multiplicity of powers of ideals in dimension two 

  Stefani, Alessandro De; Masuti, Shreedevi K.; Rossi, Maria Evelina; Verma, Jugal K. (Wiley, 2025-05)

  We study the behavior of the Hilbert–Kunz multiplicity of powers of an ideal in a local ring. In dimension 2, we provide answers to some problems raised by Smirnov, and give a criterion to answer one of his questions in ...
• Delta characters and crystalline cohomology 

  Pandit, Sudip; Saha, Arnab (International Press of Boston, 2025)

  The first part of the paper develops the theory of m-shifted π-typical Witt vectors which can be viewed as subobjects of the usual π-typical Witt vectors. We show that the shifted Witt vectors admit a delta structure that ...
• Inversion formula, unique continuation property, and range characterization of the mixed ray transform in R2 

  Mishra, Rohit Kumar; Sahoo, Suman Kumar; Thakkar, Chandni (Elsevier, 2025-10)

  In this article, we study various aspects of the mixed ray transform of (k + l)-tensor fields that are symmetric in its first k and last indices. As a first result, we derive an inversion algorithm to recover the solenoidal ...
• On de Rham cohomology of Drinfeld modules of rank 2 

  Pandit, Sudip; Saha, Arnab (World Scientific Publishing, 2025-04)

  Previously, using the theory of delta characters for Drinfeld modules, one constructed a finite free R -module H ( E ) with a semilinear operator on it, and hence a canonical z -isocrystal H δ ( E ) was attached to any ...
• Mordell-Tornheim zeta functions and functional equations for Herglotz-Zagier type functions 

  Dixit, Atul; Sathyanarayana, Sumukha; Sharan, N. Guru (Elsevier, 2025-07)

  The Mordell-Tornheim zeta function and the Herglotz-Zagier function F(x) are two important functions in Mathematics. By generalizing a special case of the former, namely Θ(z, x), we show that the theories of these functions ...
• Constructing strictly sign regular matrices of all sizes and sign patterns 

  Choudhury, Projesh Nath; Yadav, Shivangi (Wiley, 2025-04)

  The class of strictly sign regular (SSR) matrices has beenextensively studied by many authors over the past cen-tury, notably by Schoenberg, Motzkin, Gantmacher, andKrein. A classical result of Gantmacher–Krein assuresthe ...
• On an extension of Nori and local fundamental group schemes 

  Adroja, Pavan; Amrutiya, Sanjay (Taylor and Francis, 2025-04)

  This article studies an extended Nori and local fundamental group schemes of abelian varieties. We also discuss the birational invariance of these group schemes and study their behavior under the Albanese and étale morphisms.
• Global classical solutions to a chemotaxis consumption system with nonlinear sensitivity and signal consumption 

  Rani, Poonam; Tyagi, Jagmohan (Springer, 2025-06)

  We consider the following chemotaxis system: ut =Δu−∇·(u∇f(v)), x∈ Ω, t>0, vt =Δv−ug(v), x∈ Ω, t>0, under homogeneous Neumann boundary conditions in a bounded smooth domain Ω ⊂ Rn,n=2,3 with nonlinear functions f ...
• V-Line tensor tomography: numerical results 

  Ambartsoumian, Gaik; Mishra, Rohit Kumar; Zamindar, Indrani (Society for Industrial and Applied Mathematics, 2025)

  This article presents the numerical verification and validation of several inversion algorithms for V-line transforms (VLTs) acting on symmetric 2-tensor fields in the plane. The analysis of these transforms and the ...
• Solution representation formula and Hopf lemma to Pucci's equation 

  Oza, Priyank; Tyagi, Jagmohan (Taylor and Francis, 2025-03)

  We establish the existence of a viscosity subsolution along with its representation formula to the equation involving Pucci’s extremal operator ℳ+𝜆,Λ with zero-𝑡ℎ order term. We use a method based on a dynamic programming ...
• Microlocal inversion of a restricted mixed ray transform for second-order tensor fields in R3 

  Thakkar, Chandni (Springer, 2025-04)

  In this article, we study a restricted mixed ray transform acting on second-order tensor fields in 3-dimensional Euclidean space and prove the invertibility of this integral transform using microlocal techniques. Here, the ...
• Tensor tomography using v-line transforms with vertices restricted to a circle 

  Mishra, Rohit Kumar; Purohit, Anamika; Zamindar, Indrani (Springer, 2025-02)

  In this article, we study the problem of recovering symmetric m-tensor fields (including vector fields) supported in a unit disk D from a set of generalized V-line transforms, namely longitudinal, transverse, and mixed ...

View more