Priyavrat Deshpande

I am a visiting research scholar at Northeastern's Mathematics department. I have completed my PhD in mathematics from University of Western Ontario under the supervision of Graham Denham. My mathematical interests include Algebraic topology, Combinatorics and Geometric group theory.
A copy of my current CV.

My research involves combinatorial and topological understanding of hyperplane arrangements. In my PhD thesis I have initiated a study of submanifold arrangements. As a particular examples of these arrangements I am interested in spherical, projective and toric arrangements. My current work is concentrated on investigating discrete subgroups of diffeomorphisms that are generated by certain involutions.

My thesis, titled "Arrangements of Submanifolds and the Tangent Bundle Complement", has been published by the Scholarship@Western and is available for download here

My current and future research work is outlined in my research statement.

Here is a list of my research papers.

1. Arrangements of submanifolds and the tangent bundle complement, arXiv:1110.1520.
2. On a generalization of Zaslavsky's theorem for hyperplane arrangements, arXiv:1111.1251.
3. Arrangements of spheres and projective spaces, arXiv:1201.2193.
   
4. On arrangements of pseudohyperplanes, arXiv:1201.1306.
   
5. Reflections on manifolds and related groups, in preparation.
   
6. Affine Coxeter groups and related arrangements, in preparation.
   
7. Cohomology of tangent bundle complements, in preparation.

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Spring 2012

Math 1231: Calculus for Business and Economics. Emphasis is on realistic business and economics problems.

1. Section 9: Class meets on MWR in 015 Snell Library from 10:30 to 11:35.
   
2. Section 8: Class meets on MWR in Snell Library 295 from 4:30 to 5:35
   

Fall 2011

1. Math 1231: Calculus for Business and Economics. Emphasis is on realistic business and economics problems. Class meets on MWR in 411 Robinson from 10:30 to 11:35.
   
2. Math 1341: Calculus and Science and Engineering.
   Class meets on MWR in 247 Ryder from 1:35 to 2:40 pm.

Here is my teaching statement. top