Anurag Agarwal Headshot

Anurag Agarwal

Associate Professor
School of Mathematical Sciences
College of Science

585-475-7531
Office Location
Office Mailing Address
08-3216

Anurag Agarwal

Associate Professor
School of Mathematical Sciences
College of Science

Education

BS, MS, Indian Institute of Technology (India); Ph.D., State University of New York at Buffalo

Currently Teaching

MATH-790
0 - 9 Credits
Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.
MATH-241
3 Credits
This course is an introduction to the basic concepts of linear algebra, and techniques of matrix manipulation. Topics include linear transformations, Gaussian elimination, matrix arithmetic, determinants, vector spaces, linear independence, basis, null space, row space, and column space of a matrix, eigenvalues, eigenvectors, change of basis, similarity and diagonalization. Various applications are studied throughout the course.
MATH-367
3 Credits
This course will introduce, explain and employ the basic techniques of cryptography, both classical and modern. Topics will include the Vignere cipher, affine ciphers, Hill ciphers, one-time pad encryption, Enigma, cryptosystems such as DES (Data Encryption Standard) and AES (Advanced Encryption Standard), public key encryption scheme (RSA), and hash functions. The course will include an introduction to number theoretic tools used in cryptography.
MATH-442
3 Credits
This course covers the basic theory of rings, integral domains, ideals, modules, and abstract vector spaces. It also covers the key constructions including direct sums, direct products, and field extensions. These topics serve as the foundation of mathematics behind advanced topics such as algebraic geometry and various applications like cryptography and coding theory.
MATH-200
3 Credits
This course prepares students for professions that use mathematics in daily practice, and for mathematics courses beyond the introductory level where it is essential to communicate effectively in the language of mathematics. It covers various methods of mathematical proof, starting with basic techniques in propositional and predicate calculus and set theory, and then moving to applications in advanced mathematics.
MATH-671
3 Credits
This course is an introduction to the standard results and techniques of number theory. Topics include divisibility, congruences, Diophantine equations, Moebius inversion, quadratic reciprocity, and primitive roots. Cryptography and other applications will be discussed. Projects may be required.
MATH-771
3 Credits
This course is an introduction to the mathematical problems and techniques that serve as a foundation for modern cryptosystems. The topics include: classical cryptosystems computational number theory, primality tests, finite fields, private and public key encryption scheme (RSA, El-Gamal), and applications such as digital signatures, one way functions, and zero knowledge proofs. Use of elliptic curves in cryptography will also be covered.

Select Scholarship

Published Article
Agarwal, A., M. Lopez, and D.A. Narayan. “Representations for complete graphs minus a disjoint union of paths.” Journal ofCominatorial Mathematics and Cominatoral Computing, 72 (Feb 2010): 173-180. Print. «
Agarwal, A. and J.E. Marengo. “The Locus of the Focus of arolling parabola.” The College Mathematics Journal, 41.2 (March 2010): 129-133. Print. «
Agarwal, S. and A. Agarwal. “Investigating the nature of knowledge of mathematics required for teaching of functions.” Proceedings of theInternational Conference of Education, Research and Innovation, 2009-10. Print. «
Formal Presentation
Agarwal, Anurag. “Representation Numbers and Prague Dimension of Graphs.” MAA Seaway Section Meeting. Plattsburgh, NY. 15-16 Oct. 2010. Presentation.