Neeraj Kumar
Associate Professor
Office: MA404, Department of Mathematics
Institute: Indian Institute of Technology Hyderabad
Address: Kandi, Sangareddy - 502285, INDIA
Phone: (040) 2301-6613
Email: neeraj@math.iith.ac.in
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Research Interest. Commutative Algebra
The study of commutative rings, their ideals, and modules lies at the heart of Commutative Algebra, an area foundational to many branches of mathematics. My research primarily focuses on free resolutions of graded rings and modules, along with the investigation of their homological properties. Specifically, I study Rees algebras, ideals of linear type, and Koszul algebras. In addition, my work extends to Combinatorial Commutative Algebra, which uses combinatorial tools such as graphs and simplicial complexes to explore algebraic objects (graded rings and modules) and their homological characterizations.
Education
Ph.D. in Mathematics and Applications, University of Genova, Italy (May 2014)
Advisor: Prof. Aldo Conca
Thesis: Koszul property of diagonal subalgebras and complete intersections of symmetric polynomials
M.Sc. in Mathematics, University of Hyderabad (June 2008)
B.Sc. in Mathematics, St. Xavier's College, Ranchi (June 2005)
Research and Employment Experiences
Current Position
Associate Professor, Department of Mathematics, IIT Hyderabad
(June 2024 – Present)
Previous Positions
Assistant Professor, Department of Mathematics, IIT Hyderabad
(January 2019 – May 2024)Postdoctoral Fellow, Department of Mathematics, IIT Bombay
(November 2016 – December 2018)Visiting Scientist, Theoretical Statistics and Mathematics Unit, Indian Statistical Institute (ISI) Bangalore
(June 2016 – September 2016)Postdoctoral Fellow, The Institute of Mathematical Sciences (IMSc) Chennai
(April 2014 – May 2016)
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