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Arvind Kumar

Postdoctoral Fellow, Mathematical Sciences

Regular Faculty

Science Hall 261,

Department of Mathematical Sciences,
Las Cruces, NM 88003

arvkumar@nmsu.edu

575-339-8616

Website

Arvind Kumar is a Postdoctoral Fellow at New Mexico State University, specializing in algebra, combinatorics, and their applications to coding theory and matroid theory. While his primary research focus is in pure mathematics, he is increasingly interested in the broader impacts of these areas on applied mathematics, particularly in data reliability and combinatorial structures.

In his teaching and outreach activities, Dr. Kumar emphasizes active learning, critical thinking, and problem-solving skills. He remains excited about opportunities to build interdisciplinary connections between mathematics and emerging technologies like AI, both in research and education.

Expertise

  • Combinatorial Commutative Algebra
  • Theories of Learning and Pedagogy
  • STEM Education

Profile Links

Awards

  • The AMS-Simons Travel Grant
  • INSPIRE Faculty Grant (DST/INSPIRE/04/2022/001800): from the Department of Science and Technology India.
  • NPDF Grant (NPDF/2020/001436): from the Science and Engineering Research Board of India.
  • Ganitam Research Award conferred by Dr. K. V. Rao Scientific Society India for outstanding research as early career fellow.
  • Smt Lakshmikutty Amma and Shri A Krishnankutty Nair Prize conferred by Indian Institute of Technology Madras for the best PhD thesis of 2020 in Mathematics.
  • Institute Research Award conferred by Indian Institute of Technology Madras for outstanding and creative research.

Accordion

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To complete the details block content :

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The Details block displays a text summary and an arrow button: When you click on the text or the button, the block opens and reveals additional content on the page. This block can be open by default.


To complete the details block content :

  1. Create a new component with your content
  2. Create an instance of the details block
  3. Replace the property “details content” of this instance by your new content component.
Lorem ipsum dolor sit amet consectetur.

The Details block displays a text summary and an arrow button: When you click on the text or the button, the block opens and reveals additional content on the page. This block can be open by default.


To complete the details block content :

  1. Create a new component with your content
  2. Create an instance of the details block
  3. Replace the property “details content” of this instance by your new content component.