
Areas of Interest
 Number Theory: Additive Number Theory (Additive Combinatorics), Combinatorial Number Theory
Additive Number Theory, also known as Additive Combinatorics is an active and rapidly developing field of research which is a branch of Number Theory concerning the study of theory of set addition in which the subsets of integers and their behavior under the algebraic operations such as addition and multiplication are studied. More generally, additive number theory includes the study of additive structures of subsets of (abelian) groups. It has strong interaction with other branches of number theory, combinatorics, group theory, linear algebra, analysis, and many more. To know more about this area, visit the following links: Additive number Theory, Additive Combinatorics, Arithmetic Combinatorics.
Education
 Ph.D., Indian Institute of Technology Patna, 2016.
 M.Sc., TIFR Centre For Applicable Mathematics, Bangalore.
Professional Experiences
 31st December 2018Till date: Assistant Professor, Department of Mathematics, Indian Institute of Technology Bhilai, Raipur.
 5th July 201820th December 2018: Assistant Professor, Department of Mathematics, LNMIIT, Jaipur, Rajasthan.
 1st March 20162nd July 2018: PostDoctoral Fellow, Department of Mathematics, HarishChandra Research Institute, Allahabad
Published/Accepted Research Articles
 Papers in refereed journals
 Dwivedi, H. K.; Mistri, R. K. Direct and inverse problems for subset sums with certain restrictions. Integers 2022, 22, Paper No. A112, 13 pp.
 Mistri, R. K. Polynomial method for estimating the lower bound for the cardinality of mixed sumsets. Acta Math. Hungar. 2021, 164 (2), 331340. https://doi.org/10.1007/s10474021011591
 Kataria, K. K.; Mistri, R. K. Generalized binomial theorem via Laplace transform technique, Math. Gaz. 2021, 105 (564), 516520. http://dx.doi.org/10.1017/mag.2021.124
 Mistri, R. K.; Pandey, R. K.; Prakash, O. A generalization of sumset and its applications, Proc. Indian Acad. Sci. Math. Sci. 2018, 128 (5), Article: 55, 8 pp.
 Mistri, R. K. Sum of dilates of two sets. Notes Number Theory Discrete Math. 2017, 23 (4), 3441.
 Mistri, R. K.; Pandey, R. K.; Prakash, O. Subset and subsequence sums in integers. J. Comb. Number Theory 2016, 8 (3), 207223.
 Mistri, R. K.; Pandey, R. K. The direct and inverse theorems on integer subsequence sums revisited. Integers 2016, 16, Paper No. A32, 8 pp.
 Mistri, R. K.; Pandey, R. K.; Prakash, O. Subsequence Sums: Direct and inverse problems. J. Number Theory 2015, 148, 235256.
 Mistri, R. K.; Pandey, R. K. A generalization of sumsets of set of integers. J. Number Theory 2014, 143, 334356.
 Mistri, R. K.; Pandey, R. K. Derivative of an ideal in a number ring. Integers 2014, 14, Paper No. A24, 12 pp.
 Subbmitted Papers
 Mistri, R. K. Sums of subsets with bounded number of terms, 2022 (under review).
 Bhanja, J.; Mistri, R. K. The sizes of restricted sums of multisets, 2022 (under review).
 Preprints
 Mistri, R. K., Thangadurai, R. Restrictedsumdominant sets, arXiv, arXiv:1712.09226v1, 2017, 7 pp.
MSc Thesis supervised
 Himanshu Kumar Dwivedi (202021M & 202021W): Study of certain subset sum problems through unified approach.
Teaching
 201819W IC152: Linear Algebra II
 201920M IC202: Calculus II
 201920W MA505: Complex Analysis
 202021M MA502: Modern Algebra
 202021W MA506: MultiVariable Calculus
 202122M MA510: Elementary Number Theory
 202223M MA501: Linear Algebra
 202223W MA505: Complex Analysis
 202324M IC202: Calculus II
IC153: Calculus I (Tutorial).
MA502: Modern Algebra
MA614: Introductory Additive Number Theory
MA510: Elementary Number Theory
IC202: Calculus II (Tutorial)
MA614: Introductory Additive Number Theory
IC104: Linear Algebra I
MA614: Introductory Additive Number Theory
MA510: Elementary Number Theory
MAL511: Additive Number Theory
Review
 Reviewer: Mathematica Slovaca, Mathematical Reviews and zbMATH Open.