Deepak Naidu Assistant Professor Department of Mathematical Sciences

Contact Information

• Address:	Department of Mathematical Sciences Northern Illinois University DeKalb, IL 60115
  Office:	Watson Hall 358.
  Phone:	815-753-6756.
  E-mail:

Current Teaching (Spring 2013)

• MATH 229 Calculus I. Course webpage is on blackboard.
• MATH 420/520 Abstract Algebra I. Course webpage is on blackboard.

Research Interests

• Tensor categories and their applications, representation theory.
  
  
• Structure of algebras, specifically their Hochschild cohomology and their associated deformations.

Publications and Preprints

11. Classification of integral modular categories of Frobenius-Perron dimension pq⁴ and p²q² (with P. Bruillard, C. Galindo, S.-M. Hong, Y. Kashina, S. Natale, J. Plavnik, and E. Rowell), submitted in March 2013. [arXiv]
    
    
10. Twisted quantum Drinfeld Hecke algebras, submitted in October 2012. [arXiv]
    
    
9. Hochschild cohomology and quantum Drinfeld Hecke algebras (with S. Witherspoon), submitted in November 2011. [arXiv]
   
   
8. Hochschild cohomology of group extensions of quantum symmetric algebras (with P. Shroff and S. Witherspoon), Proceedings of the American Mathematical Society 139 (2011), no. 5, 1553-1567. [arXiv]
   
   
7. Crossed pointed categories and their equivariantizations, Pacific Journal of Mathematics 247 (2010), no. 2, 477-496. [arXiv]
   
   
6. Centers of graded fusion categories (with S. Gelaki and D. Nikshych), Algebra and Number Theory 3 (2009), no. 8, 959-990. [arXiv]
   
   
5. A finiteness property for braided fusion categories (with E. C. Rowell), Algebras and Representation Theory 14 (2011), no. 5, 837-855. [arXiv]
   
   
4. Fusion subcategories of representation categories of twisted quantum doubles of finite groups (with D. Nikshych and S. Witherspoon), International Mathematics Research Notices (2009), no. 22, 4183-4219. [arXiv]
   
   
3. Some properties of group-theoretical categories (with S. Gelaki), Journal of Algebra 322 (2009), no. 8, 2631-2641. [arXiv]
   
   
2. Lagrangian subcategories and braided tensor equivalences of twisted quantum doubles of finite groups (with D. Nikshych), Communications in Mathematical Physics 279 (2008), 845-872. [arXiv]
   
   
1. Categorical Morita equivalence for group-theoretical categories, Communications in Algebra 35 (2007), 3544-3565. [arXiv]

Conferences Organized

• AMS Special Session Tensor Categories and Representation Theory held Saturday, January 7, at the 2012 Joint Mathematics Meetings, Boston, Massachusetts. Co-organized with Dmitri Nikshych.
  
  
• AMS Special Session Fusion Categories and Applications held October 17-18 at the 2009 Fall Central Section Meeting, Baylor University, Waco, Texas. Co-organized with Eric Rowell.