Match tier
Listed
Presence
Current · Arkansas
Last published
2026
Sources
OpenAlex · ORCID
Refreshed
2026-10-05
K
Kriti Goel
Assistant Professor
Also affiliated: University of Delhi (2020); Indian Institute of Technology Bombay (2018–2021); Chennai Mathematical Institute (2019); University of Utah (2023–2024); Indian Institute of Technology Gandhinagar (2022); Indian Institute of Technology Delhi (2019); South Asian University (2021)
4 h-index
32 pubs
51 cited
Research Areas
Biomedical Subjects
Links
Biography and Research Information
OverviewAI-generated summary
Kriti Goel's research interests lie at the intersection of mathematics and virology. In mathematics, her work has focused on abstract algebra, specifically semigroups and ideals. Her publications explore concepts such as maximal projective dimension, mixed multiplicities, mixed volumes, and Hilbert-Samuel coefficients related to Frobenius powers of ideals and Rees algebras. In virology, Goel has investigated molecular mechanisms of viral replication. Her recent work includes an examination of a specific polymorphism in HIV-1 subtype C Gag-SP1 and its role in regulating sensitivity to maturation inhibitors. She has a h-index of 4, with 32 publications and 50 citations. Goel collaborates with Kyle Maddox and Austyn Simpson, both at the University of Arkansas at Fayetteville.
Metrics
- h-index: 4
- Publications: 32
- Citations: 51
Positions
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Assistant Professor 2025–presentIndian Institute of Technology Jodhpur Department of Mathematics ORCID
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Assistant Professor publications 2026University of Arkansas at Fayetteville ORCID
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Postdoctoral Fellow 2025University of Missouri–Columbia Department of Mathematics ORCID
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Postdoctoral Fellow 2023–2025Basque Center for Applied Mathematics Singularity Theory and Algebraic Geometry group ORCID
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Fulbright-Nehru Postdoctoral Research Fellow 2022–2023University of Utah Department of Mathematics ORCID
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Early Career Fellow 2020–2021Indian Institute of Technology Gandhinagar Discipline of Mathematics ORCID
Selected Publications
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Programmable Compute-in-Transit using Integrated Photonics (2026)
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A Buchsbaum theory for Frobenius closure (2026)arXiv (Cornell University) OpenAlex
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A Buchsbaum theory for Frobenius closure (2026)
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Numerical Semigroups of Sally Type II (2025)
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Numerical Semigroups of Sally Type (2025)
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Computing mixed multiplicities, mixed volumes and sectional Milnor numbers (2025)
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New versions of Frobenius and integral closure of ideals (2024)
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Local Cohomology of Modular Invariant Rings (2024)
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On the Hilbert-Samuel coefficients of Frobenius powers of an ideal (2023)
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Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers (2023)
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Computing mixed multiplicities, mixed volumes, and sectional Milnor numbers (2023)
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Local cohomology of modular invariant rings (2023)
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On row-factorization relations of certain numerical semigroups (2022)
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On the Hilbert-Samuel coefficients of Frobenius powers of an ideal (2022)
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Affine semigroups of maximal projective dimension (2022)
Collaboration Network
Top Collaborators
J. K. Verma
16 shared publications
- Tight closure of powers of ideals and tight hilbert polynomials
- Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings
- Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers
- Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra
- On the Hilbert-Samuel coefficients of Frobenius powers of an ideal
Showing 5 of 16 shared publications
Sudeshna Roy
6 shared publications
- Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers
- Eakin-Sathaye type theorems for joint reductions and good filtrations of ideals
- Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers
- Eakin-Sathaye-Type Theorems for Joint Reductions and Good Filtrations of Ideals
- Computing mixed multiplicities, mixed volumes, and sectional Milnor numbers
Showing 5 of 6 shared publications
Vivek Mukundan
6 shared publications
- Tight closure of powers of ideals and tight hilbert polynomials
- Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers
- On the Vanishing of the normal Hilbert coefficients of ideals
- Algorithms for computing mixed multiplicities, mixed volumes and sectional Milnor numbers
- Computing mixed multiplicities, mixed volumes, and sectional Milnor numbers
Showing 5 of 6 shared publications
Om Prakash Bhardwaj
5 shared publications
- Affine semigroups of maximal projective dimension
- On row-factorization relations of certain numerical semigroups
- On Row-Factorization matrices and generic ideals
- Affine semigroups of maximal projective dimension
- On Row-Factorization relations of certain numerical semigroups
Indranath Sengupta
5 shared publications
- Affine semigroups of maximal projective dimension
- On row-factorization relations of certain numerical semigroups
- On Row-Factorization matrices and generic ideals
- Affine semigroups of maximal projective dimension
- On Row-Factorization relations of certain numerical semigroups
R. V. Gurjar
3 shared publications
- Minkowski inequality and equality for multiplicity of ideals of finite length in Noetherian local rings
- The Minkowski (in)equality for multiplicity of ideals
- The Minkowski equality and inequality for multiplicity of ideals
Kyle Maddox
3 shared publications
In database
- New versions of Frobenius and integral closure of ideals
- A Buchsbaum theory for Frobenius closure
- A Buchsbaum theory for Frobenius closure
Arindam Banerjee
2 shared publications
- Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex
- Generalized Hilbert-Kunz function of the Rees algebra of the face ring of a simplicial complex
Arindam Banerjee
Indian Institute of Technology Kharagpur (IN)
2 shared publications
- On the Hilbert-Samuel coefficients of Frobenius powers of an ideal
- On the Hilbert-Samuel coefficients of Frobenius powers of an ideal
Jack Jeffries
University of Nebraska–Lincoln (US)
2 shared publications
- Local Cohomology of Modular Invariant Rings
- Local cohomology of modular invariant rings
Anurag Singh
University of Utah (US)
2 shared publications
- Local Cohomology of Modular Invariant Rings
- Local cohomology of modular invariant rings
Nil Şahin
2 shared publications
- Numerical Semigroups of Sally Type
- Numerical Semigroups of Sally Type II
Srishti Singh
2 shared publications
- Numerical Semigroups of Sally Type
- Numerical Semigroups of Sally Type II
Hema Srinivasan
2 shared publications
- Numerical Semigroups of Sally Type
- Numerical Semigroups of Sally Type II
Lance Edward Miller
2 shared publications
In database
- A Buchsbaum theory for Frobenius closure
- A Buchsbaum theory for Frobenius closure