Professor




Other

Research Guidance

Name of the Scholar

Title of the Thesis

Degree

Status

Aasma Rafiq

Modeling thermoregulation in human eye at extreme climatic conditions

M.

Phil.

Awarded on 21.08. 2013

Khalid Nazir

Mathematical and Numerical study of hyperthermia and cancerous tumors

M. Phil

Awarded on 15.04.2015

Aijaz Ahmad Mir- (JRF-CSIR)

Mathematical estimation of thermal stress on human body

Ph.D.

Awarded on 15.09.2015

Aijaz Ahmad Najar - (JRF-CSIR)

Variational finite element approach to study heat and oxygen transfer in human body

Ph.D.

Awarded on 31.03.2016

Aasma Rafiq-

(DST INSPIRE FELLOW)

Mathematical and Numerical Investigation of heat and drug diffusion in human subjects at extreme environmental conditions

Ph.D.

Awarded on 29.12.2016

Khalid Nazir

(Project Fellow under UGC Proj.)

Co-guide: Prof. BA Ganie (CORD)

Heat and mass transfer in biological tissue with special reference to cancerous tumors

Ph.D.

Awarded on

15.02.2018

Ahsan ul Haq Lone, NET

(Project Fellow under SERB Proj.)

Mathematical modeling of transport and exchange of oxygen and carbon-dioxide in human body

Ph.D.

Awarded on 12.10.2021

Saqib Mubarak, SET (Project Fellow under NBHM Proj.)

Mathematical and numerical study of drug and tracer kinetics in human body

Ph.D.

Awarded on

04.08.2021

Ms. Roohi Jan

Co-guide: Dr. Fouzia Rashid (Clinical Biochemistry)

Mathematical Analysis of Enzyme-Substrate complex and its binding properties.

Ph.D.

Awarded on

31.03.2023

Faizan Ahmad Zargar

Co-guide: Dr. Mudasir Ashraf (AMU)

Mathematical modelling of kinetics of malignant tumors in Kashmir region

Ph.D.

Awarded on 30.10.2023

Mr. Nayied A. Naveed

Co-guide: Dr. FA Shah (South Campus)

A Wavelet-based numerical study of some epidemic models with special reference to SIR and SEIR models

Ph.D.

Awarded 05.06.2025

Ms. Sumaira Anjum

Co-guide: Dr. Tanveer Ali (Clinical Biochemistry)

Mathematical Modelling of Enzyme Kinetics and the Metabolic Mechanisms Underlying Diabetes

Ph.D.

Joined in

June 2023

Ms. Sabira Ali

Co-guide: Dr. Aijaz A Mir (GDC Women’s Anantnag)

Mathematical modelling of heat and drug diffusion in tumor tissues during treatment

Ph.D.

Joined in April 2023

Ms. Ulfat Bashir

Co-guide: Dr. FA Shah (South Campus)

Wigner-Ville Distributions with

Applications in Signal Analysis and Differential Equations

Ph.D.

Joined in April 2024

 

Ms. Qazi Sabahat

Co-guide: Dr. Bilal A Malik (IOT Zakura)

Tentative topic: Mathematical and computational modeling of Neuroscience

Ph.D.

Course work

(Joined March 2026)

Ms. Mysra Jan

Co-guide: Dr. Aijaz A Najar

(GDC Boys Anantnag)

Tentative topic: Biomechanics and Biophysical problems

Ph.D.

Course work

(Joined March 2026)

Ms. Gazala Salam

Co-guide: Prof. Sheikh Parveiz (Statistics Dept.)

Tentative topic: Mathematical and Statistical approach of population growth/decay models

Ph.D.

Course work

(Joined March 2026)

Research Projects (Project Fellows/Junior Research Fellows)

Name of the Fellow

Title of the Project

Funding Agency & Amount (Rs.)

Duration

Khalid Nazir-(Project Fellow-Major Research Project)

Mathematical study of cold stress and related problems in human beings of Jammu & Kashmir during winter

UGC, New Delhi

9,25,400/=

(Completed)

2013-2018

Fida Hussain- (JRF-Major Research Project)

Mathematical and Numerical analysis for thermal stress on human peripherals in our state

SERB-DST

12,24,000/=

(Completed)

2013-2016

Mr. Saqib Mubarak (PhD/Junior Research Fellow)

Mathematical Analysis on the Diffusion and Absorption Rate in Biological Tissues; with special reference to the Transdermal Drug Delivery System

NBHM, DAE, Govt. of India

14,18,100/=

(Completed)

2016-2019

Mr. Ahsan ul Haq Lone (PhD/Junior Research Fellow)

Modeling hypothermia and hypoxia associated problems to the people living at high altitudes of Himalayan regions

SERB-DST

15,57,600/=

(Completed)

2018-2021

Sumaira Anjum

(PhD/Junior Project Fellow)

Mathematical and Numerical Investigation of Cooperativity of enzymes and glucose synthesis in biological tissues

JK- DST

(5, 50,000)

(Completed)

2024-2026

 Placement of Students

S. No.

Name of the Scholar/Student

Organization

Year

1.

Dr. Aijaz Ah. Mir, PhD Scholar

Assistant Professor, Higher Education

2017

2.

Dr. Aijaz Ah. Najar, PhD Scholar

Assistant Professor, Higher Education

2016

3.

Dr. Aasma Rafiq, PhD Scholar

Lecturer Mathematics, School Education

2017

4.

Dr. Khalid Nazir, PhD Scholar

Lecturer Mathematics, School Education

2017

5.

Mr. Fida Hussain, Project Fellow

Lecturer Mathematics, School Education

2017

6.

Dr. Saqib Mubarak, PhD Scholar

Assistant Professor Lovely Professional University Punjab.

2023

7

Dr. Ahsan ul Haq Lone, PhD Scholar

Assistant Professor (Contractual), GDC  Anantnag

2022

8.

Dr. Roohi Jan, PhD Scholar

Assistant Professor Lovely Professional University Punjab.

2023

9.

Dr. Faizan Ahmad Zargar, PhD Scholar

Statistical Assistant Jammu, Planning Department, J&K Govt.

2023

10.

Dr. Saqib Mubarak, PhD Scholar

Lecturer Mathematics, School Education

2026

Scripts/Study Material

  • Introduction to Modeling and Biomathematics (2015), Ariana Book Publishers, New Delhi. ISBN 978-93-85497-25-4(HB), ISBN 978-93-85497-26-1(PB), Pp (248).
  • Theory of Ordinary Differential Equations-I (2005), Published by Directorate of Distance Education, University of Kashmir, Srinagar, ISBN: 978-93-82097-14-3.
  • Complex Analysis-I (2009), Published by Directorate of Distance Education, University of Kashmir, Srinagar, ISBN: 978-93-82097-14-3.
  • Lebesgue Integration Theory (2010), Published by Directorate of Distance Education, University of Kashmir, Srinagar, ISBN: 978-93-82097-14-3.
  • Introduction to Mathematical Modeling (2011), Published by Directorate of Distance Education, University of Kashmir, Srinagar, ISBN: 978-93-82097-14-3.
  • Canonical Forms in Linear Algebra (2011), Published by Directorate of Distance Education, University of Kashmir, Srinagar (in press), ISBN: 978-93-82097-14-3.
  • Mathematical Biology (2011), Published by Directorate of Distance Education, University of Kashmir, Srinagar, ISBN: 978-93-82097-14-3.

M.Sc. Projects Supervised:

  • Basic mathematical model of cardiovascular system (Mr. Taloot Bhat & Ms. Gousia Kounser; Batch 2021)
  • Basic mathematical modelling of heat and blood transport in human eye (Mr. Nadeem Maqbool, Ms. Rumaya Rasheed, Ms. Gousia Iqbal, Mr. Shahid M Kumar and Ms. Bisma Hanief - Batch 2021)
  • ·         Introduction to mathematical ecology with special reference to population dynamics (Mr. Hilal Ahmad Dar, Mr. Rayees Malik, Mr. Owais Ahad Ganie and Mr. Aadil Rasool- Batch 2021)
  • Mathematical Investigation of Drug Kinetics in Human Eye (Sheikh Hadiya Rashid, Aqil Anjum Majeed and Asmat Javaid Malik) Batch 2022
  • Mathematical Study of Interaction between tumor and normal cells (Asifa Mushtaq, Kaiser Ahmad Bhat, Nasir Ahmad Mir,Tabasum Jan, Rumaisa Rashid, Fajar Fayaz, Afreen Javid, Anjum Jan)-Batch 2022.
  • Mathematical Modelling of Transdermal drug transport using Fick’s laws, perfusion and bioheat transfer principles (Zahid Ahmad Dar, Mohammd Yaseen Khan, Majid Hussain, Parveiz Nazir, Saiful Islam, Yawar Ahmad Rather, Suhaib Hamid and Ashiq Hussain)- Batch 2023.
  • Mathematical modelling of migraine dynamics and trigger-based attack prediction (Gousia Anees, Urooj Latif, Toiba Yousuf, Safa Bashir and Tabasum Rafiq)- Batch 2024.

Achievements/Honors

  • Received Simons Foundation Fellowship, New York to attend ICM-2026 organized by the International Mathematical Union, at Philadelphia USA during July 22-30, 2026.
  • Offered Distinguished Services to Mathematics award during 27th Annual & 8th International Conference of Vijnana Parishad Of India (VPI), Organized at Department of Mathematics, Hemvati Nandan Bahuguna University (A Central University) Pauri, Garhwal, Uttarakhand, India During June 4-6, 2026.
  • Received Young Scientist Award in the year 2015 from the Department of Science and Technology, in the subjects Mathematics, Statistics and Computer Sciences, with citation and cash prize at the Award Ceremony of 10th JK Science Congress, held during March 14-16, 2015 at Jammu University.
  • Mentor in the National Network for Mathematical and Computational Biology (NNMCB-Mohali Node) to guide research students/interns at National level.
  • Awarded as Junior Research Fellow by the Council for Scientific and Industrial Research, New Delhi (December 2002) as a first candidate from Jammu and Kashmir State in Mathematical Sciences.
  • Received University Gold Medal in the 16th Annual Convocation held in 2003.
  • Received paper presentation award for the paper entitled “Modeling thermoregulation in Human brain exposed to cold environment” at Centre for Mathematical Modeling, Banasthali University Rajasthan: Dec. 14-19, 2009.
  • Awarded Excellent Teacher grade by the DIQA, University of Kashmir in 2008.
  • Organized a National event “Programme on Mathematical Modeling of Biological Systems” during April 2-4, 2015 in Collaboration with National Network for Mathematical and Computational Biology-Mohali Node.
  • Organized one week workshop on “Mathematics and Its Applications” during October 5-11, 2015 sponsored by NBHM and University of Kashmir.
  • Organized one day National Conference on “Recent Trends in Pure and Applied Mathematics”, December 19, 2017.
  • Organized 2-Day workshop on “Geometrical Interpretation of Mathematical Objects”, during August 28-29, 2018.
  • Organized “4-Day INMO training Camp for Olympiad” Students during December 17-20, 2018.
  • Organized 4-Day INMO training Camp for Olympiad students and National Day of Mathematics Celebration during December 29, 2019 and January 1, 2020.
  • Organized 2-Day National Conference on Emerging Trends in Mathematics-Its Applications and Celebration of Mathematics Day during December 15-16, 2020.
  • Organized Teacher’s Enrichment Workshop on Functional Analysis funded by National Centre for Mathematics, TIFR Mumbai during Nov. 28-Dec. 12, 2021.
  • Organized around seven programmes at different high/higher secondary schools and Colleges of Kashmir division during December 2022 as an outreach-cum-awareness programmes for popularization of mathematics. The programmes were funded by the JK Department of Science and Technology (Govt. HSS Srigufwars, Govt. Girls HSS Brakpora, Govt. HSS Rainawari, Govt. HSS Sopore, Govt. HSS Zainapora Shopian, Govt. HSS Hall Pulwama, South Campus Anantnag).
  • Organized National Conference on Mathematics and its role in other disciplines together with Grand Alumni Meet 2023 & Felicitation function for Superannuated Faculty during October 5 and 18, 2023 at Department of Mathematics University of Kashmir in collaboration with JK Department of Science Technology and Innovation Council, Srinagar.
  • Organized National Day of Mathematics-2023 on December 22, 2023 with participation of students from various Secondary Schools of Kashmir Division.
  • Organized MathFest 2024 & MathFest2025 at the University of Kashmir to host school students, alumni, research scholars and celebration of National Day of Mathematics 2024 and 2025.
  • Introduced School Internship program for Master’s students at their 4th semester to conduct 60 hours of teaching/counseling/training to school students of Kashmir region with effect from 2024 onwards.

 

Administrative Assignments

  • Worked as Director, University of Kashmir-South Campus, Anantnag during December 2021 to May 2023.
  • Nodal Officer, Directorate of Internal Quality Assessment Cell (DIQA), University of Kashmir, Srinagar since 2009 till 2021. 
  • Active member of the Admission Committee in the Department.
  • Acting as a member for the inspection of various undergraduate examinations.

Membership

  • Membership of the Society for Mathematical Biology, Colorado USA.
  • Life Member of Indian Mathematical Society, IMS Pune, Maharastra
  • Associate member of The Mathematical Consortium, AMS
  • Life Member of Ramanujan Mathematical Society, India
  • Life Member of Bio-mathematical Society of India (BMSI)
  • Life Member/Executive member of the Gwalior Academy of Mathematical Bio-Sciences.
  • Life Member of Calcutta Mathematical Society, Kolkata.
  • Chairman of Kashmir Mathematical Society.
  • Chairman of Departmental PG/UG Board of Studies.
  • Chairman of Departmental Research Committee.

Other Skills

  • Computer knowledge
  • Knowledge of LaTex and other Software in Mathematics
  • MATLAB
  • Maintenance of Departmental Website In charge.