Office: Room # 216, Hill Center, Busch Campus
Email: rmunshi “at” math.rutgers.edu
Office Hour: TBA
Address:
Department of Mathematics, Hill Center
110 Frelinghuysen Road
Piscataway NJ 08854
Research:
Papers:
1.
On a double Dirichlet series. (2008)
2.
Pairs of quadratic forms. (Joint with Iwaniec)
(Submitted) (2008)
3.
Density of rational points on cyclic covers of P^n.
(2007) (To appear)
4.
Density of positive rank fibers in elliptic fibrations
-II. (2007) (To appear in the International Journal of Number Theory)
5.
Density of rational points on elliptic fibrations -II.
(Acta Arithmetica 134 (2008), 133-140.)
6.
The level of distribution of the special values of
L-functions. (2007) (Submitted)
7.
Cubic polynomials and quadratic forms. (Joint with
Iwaniec) (2006-2007) (Submitted)
8.
Twisted Rankin-Selberg integrals. (2006-2007)
9.
Density of rational points on elliptic fibrations. (Acta Arithmetica 129
(2007), 63-70.)
10.
Density
of positive rank fibers in elliptic fibrations. (Journal of Number Theory
125 (2007), 254-266.)
11.
Hilbert’s Nullstellensatz. (Bulletin of BMC (1999))
(See J.P. May’s article “Munshi’s
proof of the Nullstellensatz” Amer. Math. Monthly
110 (2003), no. 2, 133--140)
(See R.G. Swan’s article “On Munshi’s proof of the
Nullstellensatz”)
(Also see E. Arrondo’s article “Another
elementary proof of the Nullstellensatz”)
12.
Jordan curve theorem. (Part I) (Resonance 4 (1999) no. 9, 32-37)
13.
Jordan curve theorem. (Part II) (Resonance 4 (1999) no. 11, 14-20)
Dissertation: The Arithmetic of Elliptic Fibrations.
(2006) Princeton University.
Fall
2008:
(1) Introductory Linear Algebra: 640:250:01 – (i) Tentative syllabus and Practice problems
(ii) Grading Scheme, Exam Dates and Weekly Assignments (Check for updates regularly)
(2)
Theory
of Numbers: 640:356:01 – Information
(Check for updates regularly)
Teaching Spring 2008:
(1) Introductory Linear Algebra: 640:250
Teaching Fall 2007:
(1) Introductory Linear Algebra: 640:250 (Two sections)
Teaching Spring 2007:
(1)
Cryptography
640:348
Teaching Fall 2006:
(1) Introductory Linear Algebra: 640:250
(2) Advanced Calculus I: 640:311