Soumya Sankar

ORCID: 0000-0003-4103-0196
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About
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Research Areas
  • Veterinary Practice and Education Studies
  • Algebraic Geometry and Number Theory
  • Livestock Management and Performance Improvement
  • Topological Materials and Phenomena
  • Advanced Condensed Matter Physics
  • Agriculture and Farm Safety
  • Coding theory and cryptography
  • Physics of Superconductivity and Magnetism
  • Magnetic properties of thin films
  • Homotopy and Cohomology in Algebraic Topology
  • Advanced Algebra and Geometry
  • Electronic and Structural Properties of Oxides
  • Finite Group Theory Research
  • Magnetic Properties and Applications
  • Mathematics and Applications
  • Polynomial and algebraic computation
  • Cold Atom Physics and Bose-Einstein Condensates
  • Emotional Intelligence and Performance
  • Innovations in Medical Education
  • History and Theory of Mathematics
  • Geometric and Algebraic Topology
  • Magnetic Field Sensors Techniques

Hong Kong University of Science and Technology
2023-2024

University of Hong Kong
2023-2024

Utrecht University
2024

Kerala Veterinary and Animal Sciences University
2013

Veterinary & Animal Husbandry
2013

Berry curvature multipoles appearing in topological quantum materials have recently attracted much attention. Their presence can manifest novel phenomena, such as nonlinear anomalous Hall effects (NLAHE). The notion of extends our understanding on the material properties. Hence, research this subject is fundamental importance and may also enable future applications energy harvesting high-frequency technology. It was shown that a dipole give rise to second-order NLAHE low crystalline...

10.1103/physrevx.14.021046 article EN cc-by Physical Review X 2024-06-17

Topologically nontrivial electronic states can give rise to novel anomalous Hall effects. The potential appearance of these effects at room temperature holds promise for their application in magnetic sensing, spintronics, and energy harvesting technology. in-plane effect (IPHE) is predicted arise topological materials when an external field applied within the sample plane. Because stringent symmetry requirements, conclusive detection IPHE induced by remains challenging, study often confined...

10.48550/arxiv.2501.13602 preprint EN arXiv (Cornell University) 2025-01-23

Destructive interference between electron wavefunctions on the two-dimensional kagome lattice induces an electronic flat band, which could host a variety of interesting quantum states. Key to realize these proposals is demonstrate real-space localization flat-band electrons. The extent complex structure realistic materials counteract localizing effect destructive hitherto unknown. Moreover, detailed understanding distribution states bands has not been developed yet. We used scanning...

10.1103/physrevresearch.5.043269 article EN cc-by Physical Review Research 2023-12-20

Veterinarians of the Department Animal Husbandry play a major role in carrying out various developmental activities this sector. However, increased demands job have resulted veterinarian being position where he has to more than one which could repercussions for performance and stress. Thus study was undertaken understand perception veterinarians South Indian state about degree organizational The questionnaire technique adopted among total 155 veterinary surgeons 45 senior surgeons. Nearly...

10.1080/09751270.2013.11885221 article EN Journal of Life Sciences 2013-12-01

Berry curvature multipoles appearing in topological quantum materials have recently attracted much attention. Their presence can manifest novel phenomena, such as nonlinear anomalous Hall effects (NLAHE). The notion of extends our understanding on the material properties. Hence, research this subject is fundamental importance and may also enable future applications energy harvesting high-frequency technology. It was shown that a dipole give rise to 2nd order NLAHE low crystalline symmetry....

10.48550/arxiv.2303.03274 preprint EN other-oa arXiv (Cornell University) 2023-01-01

We undertake a study of conic bundle threefolds π : X → W over geometrically rational surfaces whose associated discriminant covers ∆ ⊂ are smooth and irreducible.We first show that the structure Galois module CH 2 k equivalence classes curves is captured by group scheme generalization Prym variety ∆.This generalizes Beauville's result algebraically trivial curve on parametrized variety.We apply our structural to refined intermediate Jacobian torsor (IJT) obstruction rationality introduced...

10.14231/ag-2024-014 article EN cc-by-nc Algebraic geometry 2024-05-01

A double cover $Y$ of $\mathbb{P}^1 \times \mathbb{P}^2$ ramified over a general $(2,2)$-divisor will have the structure geometrically standard conic bundle smooth plane quartic $\Delta \subset via second projection. These threefolds are rational algebraically closed fields, but nonclosed including $\mathbb{R}$, their rationality is an open problem. In this paper, we characterize $\mathbb{R}$ when $\Delta(\mathbb{R})$ has at least two connected components (extending work M. Ji and author)...

10.48550/arxiv.2406.13510 preprint EN arXiv (Cornell University) 2024-06-19

Abstract Given a $g$-dimensional abelian variety $A$ over finite field $\mathbf{F}_{q}$, the Weil conjectures imply that normalized Frobenius eigenvalues generate multiplicative group of rank at most $g$. The Pontryagin dual this is compact Lie controls distribution high powers endomorphism. This group, which we call Serre–Frobenius encodes possible relations between eigenvalues. In article, classify all groups occur for $g \le 3$. We also give partial classification simple ordinary...

10.1093/imrn/rnae148 article EN International Mathematics Research Notices 2024-07-06

Coulomb interactions among charge carriers that occupy an electronic flat band have a profound impact on the macroscopic properties of materials. At sufficient strength, these can give rise to captivating phenomena such as quantum criticality, Mott-Hubbard states, and unconventional superconductivity. The appearance characteristics sensitively depends number electrons occupying states. In this work, we present experimental evidence obtained from scanning tunneling microscopy measurements for...

10.48550/arxiv.2409.06933 preprint EN arXiv (Cornell University) 2024-09-10

We undertake a study of conic bundle threefolds $\pi\colon X\to W$ over geometrically rational surfaces whose associated discriminant covers $\tilde{\Delta}\to\Delta\subset are smooth and irreducible. First, we determine the structure group $\mathrm{CH}^2 X_{\overline{k}}$ equivalence classes curves. Precisely, construct Galois-equivariant homomorphism from $\mathrm{CH}^2X_{\overline{k}}$ to scheme cover $\tilde{\Delta}\to \Delta$ $X$. The target is generalization Prym variety...

10.48550/arxiv.2207.07093 preprint EN other-oa arXiv (Cornell University) 2022-01-01

A curve over a field of characteristic $p$ is called ordinary if the $p$-torsion its Jacobian as large possible, that is, an $\mathbb{F}_p$ vector space dimension equal to genus. In this paper we consider following question: fix finite $\mathbb{F}_q$ and family $\mathscr{F}$ curves $\mathbb{F}_q$. Then, what probability in ordinary? We answer question when either Artin-Schreier any or superelliptic 2.

10.48550/arxiv.1904.12173 preprint EN other-oa arXiv (Cornell University) 2019-01-01

Given a $g$-dimensional abelian variety $A$ over finite field $\mathbf{F}_q$, the Weil conjectures imply that normalized Frobenius eigenvalues generate multiplicative group of rank at most $g$. The Pontryagin dual this is compact Lie controls distribution high powers endomorphism. This group, which we call Serre--Frobenius encodes possible relations between eigenvalues. In article, classify all groups occur for $g \le 3$. We also give partial classification simple ordinary varieties prime...

10.48550/arxiv.2306.02237 preprint EN cc-by arXiv (Cornell University) 2023-01-01

Destructive interference between electron wavefunctions on the two-dimensional (2D) kagome lattice induces an electronic flat band, which could host a variety of interesting many-body quantum states. Key to realize these proposals is demonstrate real space localization band electrons. In particular, extent often more complex structure and orbital composition realistic materials counteract localizing effect destructive interference, described by 2D model, hitherto unknown. We used scanning...

10.48550/arxiv.2308.08976 preprint EN other-oa arXiv (Cornell University) 2023-01-01
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