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Mathematics

The Department of Mathematics has been established to Uplift and upgrade the standards of teaching, learning and research to meet the high levels of excellence and the requirements of today's competitive world. Currently, the department offers two years M.Sc. & three year B.Sc. (Hons.) degree in Mathematics. The Department of Mathematics also offers Ph.D. programmes in various research areas of applied and pure mathematics. Department has highly efficient and energetic faculty members. Our research spans over Functional Analysis, Operator Theory, Operator Algebra and Fuzzy Optimization, Climate Data Analysis and Disease Modelling. Department of Mathematics enhance the practical knowledge of mathematics by providing computing facilities to the students. In addition to teaching through modern proficiencies, the seminars, workshops and invited lectures are also an integral part of academic programme of the department.
Sr. No. Name of the Teacher Designation Qualification Specialization Publications/ Projects (Number Only)
1 Ms. Isha Rani Assistant Professor M.Sc., CSIR-JRF Books : Papers: Projects: Conferences/Seminars Attended : 01 workshop
2 Mr. Iqbaljit Singh Assistant Professor M.Sc.(Hons. School), UGC-JRF Books : Papers: Projects: Conferences/Seminars Attended :01 short term course
3 Ms. Mamta Rani Assistant Professor M.Sc. (Hons. School), CSIR-JRF Books : Papers: Projects: Conferences/Seminars Attended : 01 workshop
4 Mr. Rajat Singla Assistant Professor M.Sc.(Hons. School), UGC-JRF, Books : Papers: Projects: Conferences/Seminars Attended :4 workshop
5 Dr. Sukhpreet Kaur Sidhu Assistant Professor M.Sc., Ph.D. Fuzzy Optimization, Complex Analysis Books : Papers:5 Projects: Conferences/Seminars Attended :7, 8 workshop
6 Mr. Preetinder Singh Assistant Professor M.Sc.(Hons. School), CSIR-JRF, Ph.D. Operator Theory. Operator algebra Books : Papers:1 Projects: Conferences/Seminars Attended : 8
7 Mr. Pankaj Narula Assistant Professor M.Sc.(Hons. School), UGC-NET, Ph.D. (Pursuing) Climate Data analysis Books : Papers:5 Projects: Conferences/Seminars Attended :4

Course

B.Sc. (Hons. School) Mathematics

Duration

3 years (Semester system)

Seats

60

Fees

Rs. 16,500/- per semester

Remarks

(i) 10+2 Non-Medical with 60% marks (55% in case of SC/ST)
(ii)Merit based plus admissible weightages
(iii) for details see http://auts.ac.in/admission/


Course

M.Sc. Mathematics

Duration

2 years (Semester system)

Seats

30

Fees

Rs. 22,000/- per semester

Remarks

(i) B.Sc. Non-Medical with 60% marks

(ii) Merit based plus admissible weightages
(iii) for details see http://auts.ac.in/admission/


Course

Ph.D.

Duration

3-5 years

Seats

Subject to availability

Fees

Remarks

The major research areas of Mathematics Department are:

  • Fuzzy Optimization
  • Functional Analysis
  • Operator Theory
  • Operator Algebra
  • Climate Data Analysis
 

RESEARCH AREA: Fuzzy Optimization

Linear programming is one of the most successively applied operation research technique. Real world situations are represented by using any linear programming model which involves a lot of parameters, whose values are assigned by experts or decision makers. However, both experts and decision maker frequently do not precisely know the value of these parameters. Therefore, it is useful to consider the knowledge of experts about the parameters as fuzzy data. Study and development of new methods for solving the linear programming problems/ bounded linear programming problems in which some or all the parameters are represented by fuzzy/ intuitionistic fuzzy numbers.

RESEARCH AREA: Functional Analysis, Operator Theory and Operator Algebra

Research work contains the study of completely positive maps, Quantum dynamical semi-groups (QDS).QDS appear naturally when one studies the evolution of irreversible open quantum systems. QDS are non-commutative analogue to Markov semi-groups in classical probability. Research is going on dilations of some classes of quantum dynamical semigroups with unbounded generators on UHF algebras. Exploring the local structure of UHF algebra, it is shown that HP type quantum stochastic differential equation admits a unitary solution, which ensures the existence of QDS.

RESEARCH AREA: Climate Data Analysis and Disease Modelling Research work includes the analysis of climatic data with mathematical techniques such as functional data analysis. The climatic variables such as temperature and wind speed are continuous in nature but recorded at discrete time points. Such data can be converted into functional data, which further can be analysed using various statistical techniques. This gives further insight to the pace and temporal location of change in these climatic variables. The work also encompasses the mathematical modelling of various infectious diseases such as tuberculosis, dengue and malaria. Differential equations based mathematical models enable to segregate the compartments such as susceptible, infected and recovered. Analysis of various parameters pertaining to the diseases modelling helps in understanding the dynamics of disease prevalence.
(Ms. Isha Rani)
Incharge, Department of Mathematics
Akal University, Talwandi Sabo
Email : isha_math@auts.ac.in, mathematics@auts.ac.in.
Contact: +91-9915351923