Neeraj Kumar

Neeraj Kumar is an Associate Professor in the Department of Mathematics at the Indian Institute of Technology Hyderabad (IITH), India, a position he has held since June 2024 after serving as an Assistant Professor at the same institute from January 2019 to May 2024.

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 Interests:

His research lies at the intersection of Commutative Algebra and Combinatorics. He investigates free resolutions of graded rings and modules and their homological properties. Key focal areas include Rees algebras, ideals of linear type, and Koszul algebras. Additionally, he employs combinatorial tools such as graphs and simplicial complexes within Combinatorial Commutative Algebra to explore algebraic objects and their homological characterizations.

Career Path:

• Associate Professor, Department of Mathematics, IIT Hyderabad (June 2024 – Present)
• 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 Bangalore (June 2016 – September 2016)
• Postdoctoral Fellow, The Institute of Mathematical Sciences (IMSc) Chennai (April 2014 – May 2016)

Contact Information:

• Office: MA404, Department of Mathematics, IIT Hyderabad
• Address: Kandi, Sangareddy – 502285, Telangana, India
• Phone: (040) 2301-6613
• Email: neeraj@math.iith.ac.in