## Contact

Bronx Community College, CUNY

Department
of Mathematics & Computer Science

Carl Polowczyk Hall 123.

2155 University Avenue, Bronx, NY 10453

Email: parul.laul@bcc.cuny.edu

## About Me

I am an Assistant Professor in the Department of Mathematics & Computer Science at Bronx Community College. I received my Ph.D. from the University of North Carolina, Chapel Hill in May 2011 under the direction of Jason Metcalfe. My research interests lie in Partial Differential Equations and General Relativity. In particular, I study dispersive equations on black hole backgrounds and trapped surfaces.

## Research

Curriculum Vitae (Last updated October 2015).## Interests

- Partial Differential Equations
- General Relativity
- Mathematical Physics

## Papers

- (with J. Metcalfe, S. Tikare, M. Tohaneanu) Localized Energy Estimates on Myers-Perry Space-Times, SIAM J. Math. Anal. Volume 47, Issue 3 (2015), 1933-1957. (arXiv:1401.0465).
- (with J. Metcalfe) Localized Energy Estimates for Wave Equations on High Dimensional Schwarzschild Space-Times, Proc. Amer. Math. Soc. Volume 140, Number 9 (2012), 3247-3262. (arXiv:1008.4626).
- Localized Energy Estimates of the Wave Equations on Higher Dimenesional Hyperspherical Schwarzschild Space-Times, (2011) Thesis.

## Teaching

- MATH 01 Fundamental Concepts and Skills in Arithmetic and Algebra (Fall 2013)
- MATH 05 Elementary Algebra (Fall 2014, Spring 2014)
- MATH 23 Probability and Statistics (Fall 2013, Fall 2015)
- MATH 30 Pre-Calculus (Fall 2014, Spring 2016)
- MATH 31 Analytic Geometry and Calculus I (Fall 2013)
- MATH 33 Analytic Geometry and Calculus III (Fall 2015)
- MATH 42 Linear Algebra (Spring 2015)
- Student Research Supervision: NYC Louis Stokes Alliance for Minority Participation (NYCLSAMP) (Spring 2015, Spring 2016)

- MATH 123 Calculus III (Fall 2012, Winter 2013)
- MATH 201 Linear Algebra (Spring 2013)
- MATH 285 Differential Equations II (Spring 2013)
- MATH 323 Partial Differential Equations (Winter 2013)

- MATH 231 Calcululs I (Summer 2007, Fall 2007,Summer 2008, Summer 2009)
- MATH 232 Calculus II (Spring 2008, Fall 2008, Spring 2009, Fall 2009, Fall 2010)
- MATH 233 Calculus III (Spring 2010, Summer 2010)
- MATH 521 Advanced Calculus (Summer 2011)

## Supplemental Materials

## Elementary Algebra

## Calculus I

## Calculus II

## Linear Algebra

- Vector Spaces: Example 1
- Spanning Sets and Subspaces: Example 1, Example 2, Example 3
- Linear Independence: Example 1
- Basis Vectors: Example 1, Example 2
- Change of Basis Matrices: Example 1
- Rank Theorem: Example 1
- Linear Transformations: Example 1