DEPARTMENT OF MATHEMATICS

Mathematics I Institute of Chemical Technology 1 FACULTY

DR. AJIT KUMAR PREFACE M. Sc. & Ph. D. (University of Mumbai) Associate Professor and Head

PROFILE: significant training programmes in • Applied Linear Algebra I am currently an Associate Mathematics, “Mathematics Training • Computer Programming and Talent Search Programme” for Professor and Head, Department of • Optimization Techniques last several years in various capacity. The department also has Ph.D. programme in Mathematics Mathematics, Institute of Chemical DR. AJIT KUMAR Currently I am the managing trustee • Software Lab covering diverse are of research. The community of the Technology, Mumbai. I did Associate Professor of MTTS TRUST which is organizing department consists of six faculty members, with broad Masters and Ph.D. from University RESEARCH INTERESTS: all the programmes under MTTS Head of the Department areas of expertise related to mathematics and statistics, of Mumbai. My current areas of • Optimization Techniques umbrella. This programme has made M.Sc., Ph.D. and two support staffs. The department has modern and interest are Optimization Techniques, a significant impact on Mathematical • Statistical Techniques high level computational facilities, consisting of 50 All-In- Data Analysis, and Mathematical scene in India over the years. • Machine Learning One Computers, Two Servers, one workstation and a High Pedagogy. I have published more Performance Computing (HPC) cluster. All computers are than ten research papers, four • Data Analytics he Department of Mathematics, Institute of Chemical PROFESSIONAL ACTIVITIES: installed with software such as MATLAB, Mathematica, books and six book chapters. Two • Mathematical Pedagogy Technology, Mumbai, aims to be an internationally • Life time Member of the SPSS, R, Python and Sagemath etc. The department Ph.D. students are working under leading mathematics department that will offer Ramanujan Mathematical Society PUBLICATIONS: T has strong research collaborations with other renowned my guidance and one of them has innovative educational and research programmes in (RMS) India. (peer reviewed) so far : 06 academic institutions and industries. Students are also submitted her thesis. I have also mathematical sciences and their applications in science • Life time member of the Indian provided with industrial internship and placements guided more than 15 masters’ CONFERENCE PROCEEDINGS/ and technology. In pursuit of its vision, the department Mathematics Consortium. opportunity. The faculty members of the department are students for their home projects. PAPERS: 04 wish to (i) offer courses and programs that will ensure member of Board of Studies of several institutes. The • Life member of Mathematics that the students get practical knowledge in mathematics I have been a prolific user of BOOKS PUBLISHED: 04 department regularly arranges workshops, conferences Teachers’ Association. which will be relevant to the society (ii) provide a modern mathematical software such as • Ajit Kumar, Bhaba kumar sarma, and seminars for students and teachers of other colleges. • Managing Trustee of MTTS educational environment for instruction and research (iii) Sage, Python, R, Mathematica etc. S. Kumaresan, Foundation Faculties are also engaged in various training programmes TRUST create an environment for learner to engage in solving Due to this expertize, I have been Course in Mathematics. in mathematics and statistics across the country. real-world problems (iv) contribute to the understanding of invited to give talks on these topics • Member of Board of Studies of Narosa Publication. Delhi 2018. at several national and international complex mathematical structures and their applications. RESEARCH AREAS: several Colleges such as NMIMS BOOK (CHAPTERS) PUBLIESHED: events and conducted numerous Mumbai, SPIT, Mumbai, Jai Hind The Department of Mathematics, ICT Mumbai was The Department of Mathematics has research expertise 06 training programmes for students College, Mumbai, SIES College, established in the year 1944. Since its inception, it caters mainly in the areas of Computational Fluid Dynamics SEMINARS/LECTURES/ORATIONS and teachers. My mission is to create Mumbai, KBP College, Vashi, SP to all the courses related to mathematics, statistics and and Mathematical Modeling, Momentum, Heat and Mass DELIVERED: 100 awareness about innovative use College, Pune, Patkar College, computer programming of UG and PG prgrammes in Transfer in Newtonian Non-Newtonian Fluids, Singular of Mathematical Software among Mumbai POST GRADUATE PROJECT ICT. The department offers a 2 year M.Sc. programme Perturbation Theory, Optimization Techniques, Statistical mathematics teachers in India. SUPERVISION: 05 in “Engineering Mathematics”. This programme was Analysis, Data Analysis, Mathematical Biology, Species SUBJECTS TAUGHT: I have been associated with PHD PROJECT SUPERVISION: started in the academic year 2012-2013 under the UGC Distribution Modeling, Applied Functional Analysis, M.Sc. in Engineering Mathematics: one of the most popular and 02 (1 thesis submitted, 1 ongoing) INNOVATIVE SCHEMES and is very unique in its nature. Differential Equations, and Mathematical Pedagogy. 2 Institute of Chemical Technology I Mathematics Mathematics I Institute of Chemical Technology 3 POST GRADUATE STUDENTS’ SEMINARS/PROJECTS: Programming Language” at the MIT, Arts Science and Commerce College, Mumbai on Sept. 08, DBT Star College Scheme at the College, Pune. 2018. No. Name of the Student Topic Ramnarain Ruia College, Mumbai • Given a course of lectures in the • A series of lectures “Introduction 1. Aniket Sandeep Wakankar Stock Market Prediction Using Machine Learning In Python during January 17-19, 2019. mini-MTTS programme held at to R “at KBN College, Vijaywada 2. Ranjeet Kumar Image detection and recognition using machine learning algorithm • Invited lectures (Four lectures) the IIT Mandi Mandi during Dec. during August 27-29, 2018. 3. Ankit Suryamani Sharma Forex market prediction using genetic algorithm and support vector machine on “SVD and PCA with Sage and 03-08, 2018. • A series of lecture on SageMath 4. Darshan Tribhuwan Dathiya Forex market prediction using genetic algorithm and support vector machine Hands on” in a STTP programme • Given a course of lectures in the and its application to Linear at K. J. Somaiya College Of 5. Pooja Ramsewak Mishra Forex market prediction using genetic algorithm and support vector machine mini-MTTS programme held at Algebra and Calculus during the Engineering, Mumbai on January the NES Ratnam College, Mumbai UGC Refresher Course at the HIGHLIGHTS OF RESEARCH have been actively involved in training with DTE. 10 and 12, 2019. during Nov. 26- Dec. 01, 2018. University of Hyderabad on July WORK DONE AND ITS IMPACT: mathematics teachers in use of such • Attended a “Professional • Invited to give lectures on • Invited to give four lectures in a 23 and July 24, 2018. “Introduction to Python” in My current area of interest is in the tools. I would like to use my rich Development Training Faculty Development Program EVENTS ORGANIZED the per-conference workshop field of Optimization Techniques, expertise on mathematical software Programme” at Indian Institute of in “Analysis, Algebra and Sage AND RESPONSIBILITY of “55th Annual Conference Statistical Techniques, Machine and programming languages to build Management (IIM) Raipur during software” during 15th – 17th (CONVENER /SECRETARY/ of Indian Economics Society” Learning, Data Analytics and innovative teaching modules and February 11–15, 2019. November 2018 at RBVRR MEMBER): Mobile Apps which can bring a lot of on January 07, 2019 at the Mathematical Pedagogy. • Attended a AICTE workshop Women’s College, Hyderabad. pedagogical benefits to teachers and National Institute of Security • Organized a workshop on “3D One of the thrust areas of my on “Examination Reforms” on • Invited to give three lectures students. Market (NISM), Patalganga, Navi Simplifid Mathematics with February 01, 2019 at COEP Pune. in a national level Faculty interest is in area of Machine Mumbai. Excel” in jointly with NES Ratnam Learning (ML) and Deep Learning MEMBERSHIP OF IN-HOUSE • Attended the inaugural conference Development Programme (FDP) College Mumbai and Dass • Invited to conduct a workshop Algorithms and their applications COMMITTEES on “Mathematics Teacher on Innovative Teaching Skills Scientific Research Labs Pvt Ltd, on “Modeling with Spreadsheet” to various forms of real data. One • Head, Department of Association” during January in Mathematics, held at the Ahemedabad during June 24-26, in the inaugural conference Ph.D. students is working on using Mathematics 03–05, 2019 at the Homi Bhaba Department of Mathematics, 2019. on “Mathematics Teachers ML on stock market data for building • Member of TEQUIP-III Core Team Centre Science and Education, University of Pune on November Association” during January • Organized a workshop on “Deep clustering and predictive models. • Unfair Means Committee Mumbai. 14-15, 2018. 03–05, 2019 at the Homi Bhaba Learning with Python” during Recently, several students have • UGPC and PGPC • Invited to conduct a workshop on Lectures Delivered Centre Science and Education, December 17-19, 2018 at ICT done projects on various aspects of • Handbook committee LaTeX at at the R. Jhunjhunwala • Invited to give a series of lectures Mumbai. Mumbai under TEQIP-III. machine learning algorithms under College Mumbai on Oct 19, 2018. on “SageMath for teaching • Invited to give 4 lectures and • Organized as an academic my guidance some of which have • A series of lectures on SEMINARS / LECTURES / and research” in a faculty hands on Introduction to Sage, coordinator, “mini-MTTS resulted in conference proceedings. Applications of Linear Algebra at CONFERENCES / SYMPOSIA development programme on in a national workshop on “Free Programme” held at the NES I would further like to focus on some the Dept. of Mathematics, Devi /WORKSHOPS / SUMMER “Applications of Mathematical and open Source for Teaching Ratnam College Mumbai, during of the modern data analysis tools Ahilya Vishvavidyalaya, Indore in OR WINTER TRAINING Software in Teaching and and Research” at SRTM, Nanded Nov. 26, 2018 to December 01, such as Deep Learning, TensorFlow a National Workshop on Algebra SCHOOLS ATTENDED/ Research” at KTMH College, during December 28-29, 2018. 2018. and Block Chain etc. and Analysis held during Oct. 12- ORAL OR POSTER Nashik on June 28, 2019. • Organized as an academic Another area I am focusing on is in • Invited to give 5 lectures on 13, 2018. PRESENTATIONS: • Invited to give a course of coordinator, “mini-MTTS the area of vehicle routing problems “Introduction to Sage” in a two Conference/Workshop attended lectures on “Foundations” in the • Invited to conduct a workshop Programme” held at the (VRP). One of the Ph.D. students days State Level Workshop on Mathematics Training and Talent on LaTeX at during a state level Bhaskaracharya Pratisthana, has worked on applying heuristic • Participated in a National “Mathematical Software” held Search (MTTS) Programme workshop on LaTeX at the HR Pune during Nov. 23–28, 2018. methods to solve heterogeneous Workshop on “Strategic Quality during on 14 – 15 Dec, 2018 at during May 20 to June 01, 2019 vehicle routing problem to a real data Initiatives in Technical Education” at Regional Institute of Education, set. We would like to extend this work during 09-13 May 2019 at Ajmer. to various aspects of vehicle routing Lakshadweep. problems using Machine Learning • Attended a two days national • Invited to give a lecture on algorithms such as reinforced conference on “Equity: “Clustering Techniques” in a learning and neural networks. Achievements and Challenges RUSA Short Term course at HRDC, University of Mumbai on Third area of my interest is in in India” during February 15-16, April 10, 2019. Mathematical Pedagogy. I have been 2019 at the college of Engineering prolific user of several mathematical Pune. The conference was • Invited to conduct a faculty softwares for teaching and research. I organized by NPIU in collaboration training programme on “Python

4 Institute of Chemical Technology I Mathematics Mathematics I Institute of Chemical Technology 5 No. Name of the Student Topic 1. Khan M. M. Zeenat Numerical Solution of Heat and momentum transfer problems 2. Khan Anjum Numerical Solution of steady state Heat Diffusion Problem 3. Bhattacharya Ishika Numerical Solution of steady state Heat Diffusion Problem DR. A. K. SAHU 4. Talkar A. Akshata Numerical Solution of Heat and momentum transfer problems M.Sc. (Utkal University), Ph.D. (IIT Bombay) MEMBERSHIP OF IN-HOUSE COMMITTEES Professor • UGPC and PGPC • Academic Council PROFILE: RESEARCH INTERESTS: pool, flow inside a cavity etc. • MIS Committee (TEQIP-II) After completing my PhD from IIT • CFD, Mathematical modeling • At present, it is observed that • Steering committee of COE (TEQIP-II) • Examination Committee Bombay in 1991, I joined in Chemical • Momentum and heat transfer nanofluids are gaining importance Engineering department of ICT in Non-Newtonian fluids and in thermal engineering due to Mumbai as a PDF with Prof. J. B. Nanofluids its improving thermo-physical Joshi. During my PDF, I was involved properties such as thermal in various projects to simulate the HIGHLIGHTS OF RESEARCH conductivity, thermal diffusivity, one and two phase flow problems WORK DONE AND ITS IMPACT: viscosity and convective heat numerically using finite control • My basic research interest is in transfer. Hence, its importance volume method. Specifically, the the field of Computational fluid in forced, mixed and natural main object was to obtain numerical dynamics (CFD), numerical convection is being studied. It DR. AKSHAY S. RANE solution to find the turbulent flow methods and mathematical has also been observed that M.Sc. (Mumbai University), Ph.D. (IIT Bombay) characteristics in baffle cylindrical modeling. In case of CFD, the nanofluids have very good heat UGC Assistant Professor vessel with axial flow impellers. In the thrust is giving to simulate transfer enhancement properties. Ex Assistant Professor, Department of Mathematics, year 1998, I joined in the Department turbulent flows for some PUBLICATIONS: BITS Pilani, KK Birla Goa Campus. of Mathematics, ICT Mumbai as an realistic problems using latest (peer reviewed) so far : 09 Associate Professor on temporary turbulent models and numerical basis and got the permanent position techniques. As it is known that • Effect of viscous dissipation on PROFILE: for Excellence in Basic Sciences in • Advanced Analysis for turbulent flows, the governing finding dual solutions for mixed in June 2004. From the first day of my Dr. Akshay Sakharam Rane had Mumbai for about 9 months. He has • Applied Functional Analysis equations for a giving problem convection boundary layer joining, I was heading the Department his schooling and education from been a post doctoral student at Jean • Complex Analysis are highly nonlinear and it is flow for nanofluid- S. Maji and of Mathematics till November 2018. Mumbai. He obtained B.Sc. from Monnet Universite of Saint Etienne, RESEARCH INTERESTS: impossible to obtain an analytical A.K.Sahu. Heat Transfer—Asian During this time I was member of D. G. Ruparel College from the France under an Indo-French project. solution. Therefore, the emphasis Reseach, Wiley. Accepted. (DOI: • Numerical Functional Analysis various in-house committees. I had University of Mumbai. He did M.Sc. He has been an assistant professor is given to use efficient numerical 10.1002/htj.21512), 2019. • Spectral Approximation got a project from IGCAR in 2007 from the Department of Mathematics at Institute of Chemical Technology techniques such as: finite volume, and it was completed successfully in CONFERENCE PROCEEDINGS/ of the University of Mumbai. He has Mumbai for a couple of years. • Operator theory initial value and finite difference 2012. Further, through CAS I become PAPERS: 10 secured first rank and gold medal Then he joined the Department of methods to obtain the numerical PUBLICATIONS: professor in 2016. SEMINARS/LECTURES/ORATIONS at both the B.Sc. and M.Sc. degree Mathematics, BITS Pilani, Goa as solutions. Grid generation is International (peer reviewed) so SUBJECTS TAUGHT: DELIVERED: 11 examinations. He received the NBHM an assistant Professor. He rejoined also an important aspect of ICT as UGC-assistant professor. far: 7 M.Sc. in Engineering Mathematics: Ph.D.S AWARDED AS SINGLE/ fellowship during his M.Sc. He did the numerical techniques and His research area is Numerical CONFERENCE PROCEEDINGS/ CO-GUIDE: 01 his Ph.D. from the Department of • Software Lab-II emphasis is also given for this. Mathematics, Indian Institute of Functional Analysis, Spectral PAPERS: 03 • Numerical method-I Mostly for turbulent flows, the MASTERS AWARDED AS SINGLE/ Technology, Bombay. He received Approximation and Operator theory. SEMINARS/LECTURES/ORATIONS • Numerical method – II problems are chosen related CO-GUIDE: 1 the Charpak fellowship to do a part of He has 7 publications in international DELIVERED: 03 • Finite element method. to axial flow impeller, thermal POST GRADUATE THESIS journals. his research in France and was also POST GRADUATE THESIS stratification in molten sodium SUPERVISION: 05 awarded the Best student amongst SUBJECTS TAUGHT: SUPERVISION: 06 the Ph.D. students at IIT Bombay in M.Sc. in Engineering Mathematics: H-INDEX: 2 the annual convocation. He has been • Advanced Calculus a research associate at the Center CITATIONS: 11

6 Institute of Chemical Technology I Mathematics Mathematics I Institute of Chemical Technology 7 HIGHLIGHTS OF RESEARCH operators with weakly singular POSTER PRESENTATIONS: which motivated me into shifting Euromech, IUTAM, ERCOFTAC, fluid-structure interaction and WORK DONE AND ITS IMPACT: periodic kernel. Asymptotic series • Resource person at a DST Pursue my focus from pure mathematics NBHM. Subsequently I secured collective aerodynamics; Operator equations and eigenvalue for simple eigenvalues of integral Funded workshop "A glimpse into to applied mathematics problems. a faculty position at the Institute • Non-linear dynamics and problems occur in many physical operator associated with Galerkin Higher Mathematics" conducted After completion of my Ph.D. in of Chemical Technology, Mumbai reduced-order modelling of and engineering applications and projections were considered. in the Department of Mathematics early 2013, I worked in prestigious under the UGC Faculty Recharge expensive computational fluid- quite often are not exactly solvable. Proving the existence of asymptotic at University of Mumbai from positions such as the Institute Post- Programme in end 2016 along with dynamical models; series expansion was challenging as doctoral fellow at the Department a start-up research grant – being one Hence approximate solutions are 11th February 2019 to 16th • Statistical analysis of the earlier tools failed. Eigenvalues of Mathematics, Indian Institute of among almost 100 candidates from required. Once asymptotic series February 2019. turbulence and applications to with multiplicity 1 required different Technology – Bombay on Inverse all over India. expansions of approximate solutions • Undertook research visit to hydromechanics equations; treatment with product and adjoint Problems’ theory, and as a Airbus are established extrapolation NITTTR Bhopal during 5th SUBJECTS TAUGHT: spaces setting. Numerical results Prize post-doctoral fellow at TIFR’s • Regularization of ill-posed can be used to increase the February to 8th February 2019 confirmed the theoretical predictions. International Centre for Theoretical B. Chem. Engg. problems with applications to orders of convergence of the and also gave an invited talk. • Applied Mathematics I Inverse problems and parameter approximate solutions. We have Sciences, Bangalore on Turbulence SPECIAL AWARDS/ HONOURS: • Gave a contributed talk at the • Applied Mathematics II identification. obtained asymptotic expansions of and Statistical Physics. From my • Received DST Travel grant to 15th International Confernce on M.Sc. in Engineering Mathematics: approximate solutions of operator research experience during my PUBLICATIONS: present paper at University of Integral Methods in Science and doctoral and post-doctoral stints, I • Momentum, Heat & Mass equations and eigen elements International (peer reviewed) so Brighton, U.K in 2018 Engineering, held at University of have published extensively in leading transfer associated with integral operators far: 06 • Gave an invited lecture at St. Brighton, in July 2018. international journals such as • Computational Fluid Dynamics with non-smooth or Green’s kernel. CONFERENCE PROCEEDINGS/ Xavier’s college, Mumbai. • Undertook research visit to BITS Physics of Fluids, Journal of Fluids • Number Theory The operator approximations PAPERS: 05 (1 Book Chapter) considered are the classical Nystrom • Gave a series of lectures in Pilani, KK Birla Goa campus & Structures, and Proceedings of RESEARCH INTERESTS: “Analysis” for M.Sc. and M.Phil/ during November 2018. the Royal Society; and presented SEMINARS/LECTURES/ORATIONS operator, collocation operator and • Fluid mechanics (theoretical and Ph.D. lectures in the university of my group’s research work in several DELIVERED: 04 iterated Galerkin operator. These • Presented a paper at the computational) and applications Mumbai national international conferences POST GRADUATE THESIS results are extended to nonlinear Symposium held at IIT Bombay to flight optimization through conducted by societies such as SUPERVISION: 04 Hammerstein equations. We have SEMINARS / LECTURES / during 4th January 2018 -6th also studied a modified projection CONFERENCES / SYMPOSIA January 2018. method which has proved to be /WORKSHOPS / SUMMER OR POST GRADUATE STUDENTS’ SEMINARS/PROJECTS: better than the classical Nystrom WINTER TRAINING SCHOOLS No. Name of the Student Topics and projection methods. Asymptotic ATTENDED/ ORAL OR series were also obtained for integral 1. Iffat Fatima Razi Ahmed Nonlinear dynamics for the development of reduced-order models for aerodynamic applications. 2. Rasika Vijay Mhatre Reduced-order models for the nonlinear aerodynamic forces on an aerofoil. 3. Shreya Anil Kelkar Development of nonlinear reduced-order models for aerodynamics problems. 4. Vrushali Sitaram Satpute Nonlinear dynamics: Applications for development of reduced-order models for aerospace applications.

HIGHLIGHTS OF RESEARCH interaction. Specifically, applications military reconnaissance operations. DR. V. DIVYA WORK DONE AND ITS IMPACT: of this research include the flow Some of these problems, that involve around a bluff body that is coated very expensive computational M. Math. (ISI Bangalore), Ph. D. (University of Genoa, Italy) My major research interests lie in the area of fluid mechanics, with a layer of poro-elastic feathers resources, can also be effectively UGC Assistant Professor non-linear dynamics and inverse which has interesting implications investigated using methods of problem theory applied to parameter for efficient aerodynamics. Among reduced-order modelling, wherein PROFILE: followed by M. Mathematics from waiver), I briefly worked as a identification. During my Ph.D., I many salient features, such some key features of the ambient aerodynamic efficiency leads to lift- flows are captured using inexpensive I am currently working as a the Indian Statistical Institute (ISI) – research assistant at the Bangalore worked on the computational as vs-drag ratio optimization as well as and highly efficient low-order non- UGC Assistant Professor in the Bangalore in the year 2007. Prior Centre for Applicable mathematics well as theoretical modelling of noise reduction, all of which have linear dynamical models. This Department of Mathematics, ICT to joining for my doctoral work in of Tata Institute of Fundamental flows around moving immersed applications in the design of small whole work was very well received Mumbai. I did my B. Sc. (Honours) Fluid Dynamics at the University Research (TIFR) on Adjoint Problem boundaries, and how this knowledge and silent Unmanned Aerial Vehicles and was published, at various in Mathematics from St. Stephen’s of Genoa – Italy (which was fully formulation of Differential equations can be useful in solving engineering (UAVs) which are very useful in stages, in prestigious journals such college (University of Delhi) in 2005 funded and with full tuition-fee and their Computational modelling, problems in fluid-structure 8 Institute of Chemical Technology I Mathematics Mathematics I Institute of Chemical Technology 9 as Physics of Fluids (published by in some mathematical aspects of SEMINARS / LECTURES / the American Institute of Physics) projection regularization theory and CONFERENCES / SYMPOSIA and Journal of Fluids & Structures its applications to inverse problems /WORKSHOPS / SUMMER (Elsevier) as well as a popular and parameter identification. OR WINTER TRAINING Italian science magazine. This DETAILS OF SPONSORED SCHOOLS ATTENDED/ DR. STUTI BORGOHAIN work was also presented on many ORAL OR POSTER PROJECTS M.Sc. (Tezpur Central University, Assam) international platforms such as the PRESENTATIONS: Ph. D. (Institute of Advanced Study in Science and Technology (IASST), World Congress on Biomechanics UGC-FRP Start-up research grant, • Participated in Workshop on Guwahati, Assam) (in Singapore), European Mechanics University Grants Commission, Delhi, 2 years, Rs. 6,00,000/- “Outcome based Education Society Fluid Mechanics Conference Training” under the TEQIP-III Assistant Professor (in Germany), International Union of DETAILS OF NATIONAL twinning program – 1st October Theoretical and Applied Mechanics AND INTERNATIONAL 2018, Institute of Chemical (IUTAM) Symposium (in India), COLLABORATIONS: Technology – Mumbai. European Research Community on PROFILE: joining in ICT, I grew up an inclination SUBJECTS TAUGHT: National Collaboration: • Participated in Continuing Flow, Turbulence and Combustion I am currently working as an Assistant towards the subject Artificial B. Tech. and B. Chem. Engg. • Prof. Neela Nataraj, Department Education Programme (ERCOFTAC) Symposium (in Professor in the Department of Intelligence and Machine Learning of Mathematics, Indian Institute (CEP) course on “Big Data, • Applied Mathematics – I Greece) and American Physical Mathematics, ICT Mumbai. I did too. I have started working on these of Technology – Bombay; Bioinformatics & Proteomics” • Applied Mathematics-II Society (APS) annual meeting (in the my MSc from Tezpur Central subjects using the concept of fuzzy – 5th to 8th March 2019, Indian US) – with a dedicated book chapter • Prof. Samriddhi Sankar University, Assam in the year 2004. mathematics and python language. • Computer Applications Lab Institute of Technology – Bombay. in Proceedings of the ERCOFTAC Ray, International Centre for I completed my PhD under a UGC One undergraduate Summer Intern M.Sc. in Engineering Mathematics: Theoretical Sciences, Tata • Attended Indian Women and (DST Inspire Fellow, IISER Tirupati) symposium held at Greece. sponsored project in 2012 under the • Differential Equation - I Mathematics Annual Conference has worked with me with these During my post-doctoral work, I was Institute of Fundamental supervision of Prof. Binod Chandra 2019 organized by DAE’s National problems and we are planning • Differential Equation - II also involved with statistical analysis Research, Bangalore. Tripathy from Institute of Advanced Board for Higher Mathematics and to work further on some specific of turbulence and its applications International Collaboration: Study in Science and Technology, RESEARCH INTERESTS: the International Mathematical Artificial Intelligence Problems using to hydromechanics, along with an • Prof. Alessandro Bottaro, an autonomous DST funded multi- • Sequence Spaces and Union’s (IMU) Committee for the concept of Fuzzy Mathematics indirect extension of my Ph.D work Department of Civil, Chemical disciplinary research institute in Summability Theory Women in Mathematics – 10th to and developed them in Python to the phenomenon of flocking in bird & Environmental engineering, North East (located in Guwahati). I 12th June 2019, Department of language. • Fuzzy Mathematics flight which has positive implications University of Genoa, Italy. received DST Women Scientists-A Mathematics, Indian Institute of • Measures of Non-compactness in group aerodynamics optimization. fellowship in 2009 for three years PROFESSIONAL ACTIVITIES MEMBERSHIP OF IN-HOUSE Technology – Bombay. A thorough understanding of the to continue my research works (MEMBERSHIP OF PUBLICATIONS: COMMITTEES • Participated in Workshop on mathematical and physical nature which I successfully completed at IMPORTANT COMMITTEES): International (Peer reviewed) so • Department Course Co- “3D Simplified Mathematics of the equations of hydromechanics the Department of Mathematics, • Life Member of the Art Society of far: 18 and turbulence yields deep insights coordinator, Department of with Excel” organized by the IIT Bombay under the supervision India • Stuti Borgohain, On new into the million-dollar problem of Mathematics, ICT – Mumbai: UG Department of Mathematics & of Prof. Inder Kumar Rana. After f-statistical convergence in the solvability of the Navier-Stokes & PG programmes offered by Statistics, NES Ratnam College that I got the NBHM Post Doctoral JOURNAL REVIEWER: probabilistic normed spaces. equations for modeling fluid flow. An the department (July 2018 – till of Arts, Science & Commerce; Fellowship which I again completed • Mathematical Reviews USA New Trends in Mathematical overview of this work was presented date). Department of Mathematics, in the Department of Mathematics, (Reviewer Number: 104677) Institute of Chemical Technology Sciences, 6(3), 181-188, 2018 at the Indian Women in Mathematics • In-charge of Co-curricular IIT Bombay. • Annals of Fuzzy Mathematics – Mumbai; and Dass Scientific CONFERENCE PROCEEDINGS/ (IWM) conference in Delhi. I have & Extra-curricular activities Meanwhile I got the chance to work and Informatics (AFMI) peer-reviewed publications in these Research Labs Pvt. Ltd, PAPERS: 2 for students of Mathematics with Prof. Ekrem Savas (Turkey) • Brazilian Journal of Science and two areas also, in Europhysics Ahmedabad – 24th to 26th June SEMINARS/LECTURES/ORATIONS department. and Prof. Adem Kilicmen (Malaysia) Technology letters and Proceedings of the Royal 2019, Institute of Chemical and visited their Universities several DELIVERED: 20 • Member, Department Safety • Mathematical & Computational Society. I have also briefly worked Technology – Mumbai. times. I received the prestigious H-INDEX: 5 committee. Applications Tubitak Fellowship ( Short term) also CITATIONS: 135 to work in Turkey. • Calcutta Mathematical Society Journal Reviewer : 7 My main research interest is • Proyecciones Journal of Sequence Spaces and Summability Mathematics Theory and Fuzzy Mathematics. After • American Mathematical Monthly

10 Institute of Chemical Technology I Mathematics Mathematics I Institute of Chemical Technology 11 HIGHLIGHTS OF RESEARCH and on its different applications are (March 29-March 30), Veermata WORK DONE AND ITS IMPACT: going on. Jijabai Technological Institute My Research area is Sequence SPONSORED PROJECTS: (VJTI), Matunga, Mumbai : 400019, Maharashtra, India Spaces and Summability Thoery, • DST, Govt of India (SR/WOS-A/ • Short Term Training Program Fuzzy mathematics, Measures on MS-07/2008). Studies on the on Fuzzy Sets and Applications, Non-compactness etc. We worked Class of n-normed Sequence 2018 (November 9-10), SRM on different sequence spaces of Spaces Related to l_p Space. Rs. DR. AMIYA RANJAN BHOWMICK fuzzy real numbers defined by Orlicz University, Chennai, India. 810,000/-. 1. Three Years. M.Sc. (IIT Bombay), Ph. D. (Calcutta University) functions and studied some of their • Attended Indian woman and Acted as Principal Investigator. Assistant Professor topological properties as well. We mathematics annual confernce • NBHM (DAE, Govt of India) introduced some new difference during June 10-12, 2019 at IIT (NBHM/PDF.50/2011/64). sequence spaces related to l_p Bombay PROFILE: Mathematical Biology and Statistics. fractional order derivative: Case Convergent and Statistically space and examined some of their I am also a regular reviewer of some studies from the global population Convergent Sequence spaces of I am currently Assistant Professor topological properties like solidness, EVENTS ORGANIZED leading international journals. Apart dynamics database. 2019 (In Fuzzy Real Numbers defined by AND RESPONSIBILITY in the Department of Mathematics symmetricity, convergence-free etc. in Institute of Chemical Technology, from the research work I am actively Press, Ecological Informatics, Orlicz Functions. Three Years. Rs. (CONVENER /SECRETARY/ involved in teaching Mathematics at Elsevier) Later on, some statistically 1,042,800 /-. Acted as Principal MEMBER): Mumbai, India. I received my convergent difference sequence Bachelor's Degree from Presidency undergraduate level and Statistics • Mukherjee, A., Bhowmick, A. R., Investigator. • Organized a workshop on “3D spaces were also introduced and College, Kolkata with Honours in and Machine Learning courses at Mukherjee, J. and Moniruzzaman, Simplifid Mathematics with examined as well. Also some DETAILS OF NATIONAL Mathematics (Physics and Chemistry post-graduate level. M. Physiological response Excel” jointly with NES Ratnam inclusion results of these spaces AND INTERNATIONAL minor) in 2006. I completed Master's PROFESSIONAL ACTIVITIES: of fish under variable acidic College Mumbai and Dass were established during our PhD COLLABORATIONS: in Applied Statistics and Informatics conditions: A molecular approach Scientific Research Labs Pvt Ltd, • Life time Member of the work. Moreover, we have worked out National Collaboration: from Indian Institute of Technology, through the assessment eco- Ahmedabad during June 24-26, Biomathematical Society of India on some new sequence spaces of • Prof. Binod Chandra Tripathy, Mumbai (IIT Bombay) in 2008. physiological marker in the brain. 2019. SUBJECTS TAUGHT: fuzzy real numbers defined by Orlicz Tripura University, Tripura, India Prior to joining the Ph.D. program, I 2019 (Accepted in Environmental functions which are examined with • Organized one Art and had worked as a Statistician in the B. Tech. Science and Pollution Research) • Prof. Inder Kumar Rana, Indian respect to the fuzzy metric. Besides, Craft Exhibition entitled as Cytel Statistical Software Services • Applied Mathematics – I (Springer, I. F. 2.8) Institute of Technology, Bombay, some new generalized difference "Mathematics Used in Nature" at Pvt. Ltd. Then I joined the Ph.D. • Applied Mathematics-II • Chakraborty, B., Bhowmick, India the Department of Mathematics, Cesaro sequence spaces of fuzzy program in 2010 in the Agricultural M.Sc. in Engineering Mathematics: A. R., Chattopadhyay, J. and International Collaborations: Institute of Chemical Technology, real numbers defined by Orlicz and Ecological Research Unit, Indian • Applied Statistics-I Bhattacharya, S. A Novel Mumbai at the First Alumni Meet functions are also studied in various • Prof. Ekrem Savas, Istanbul Statistical Institute, Kolkata CSIR • Applied Statistics-II Unification Method to Characterize of Mathematics Department, on aspects. Ticaret University, Istanbul, JRF. I received the Ph.D. degree from • Advanced Real Analysis a Broad Class of Growth Curve 9th February'2019 at ICT itself. After that we worked on n-normed Turkey the University of Calcutta, Kolkata in • Machine Learning Models using Relative Growth sequence spaces in various aspects • Prof. Adem kilicmen, University • Organized the Art ICT'2019, an Applied Mathematics in 2016. Rate. 2019 (Accepted in Bulletin RESEARCH INTERESTS: and found new results in terms of Putra Malaysia, Malaysia. Art festival organized by ICT Soon after submitting my thesis, I of Mathematical Biology, • Bayesian Statistics with fuzzy real numbers with respect Art Club under Technological joined as an assistant professor in Springer, I.F. 1.85) • Dr Mehmet Kucukaslan, Mersin Application in Ecology to Orlicz functions and statistical Association. This time the the Department of Mathematics, • Mukherjee, S., Bhowmick, A. University, Turkey • Species Distribution Modelling convergence as well. event was in collaboration with Institute of Chemical Technology, R., Ghosh, P. B. and Ray, S. SEMINARS / LECTURES / Department of Mathematics from • Statistical Inference on Biological Currently we are working on Mumbai. I have been actively Impact of Environmental Factors CONFERENCES / SYMPOSIA 4th April'2019 to 5th April'2019 Growth Models f-statistical convergence on carrying out research in the field of on the Dependency of Litter /WORKSHOPS / SUMMER where Mr. Vikrant Shitole, Hon. • Stochastic Population Dynamics probabilistic normed linear space. Mathematical Biology and Applied Biomass in Carbon Cycling of OR WINTER TRAINING Secretary of The Art Society We find some results in probabilistic Statistics. My primary research PUBLICATIONS: Hoogly Estuary, India. Ecological SCHOOLS ATTENDED/ of India and Miraculous Speed normed linear space and applied interest includes the application International (peer reviewed) so Informatics, Vol 51, pp 193-200, ORAL OR POSTER Painter Rabin Bar were the Chief the Tauberian conditions on these of growth models in biological far: 21 May, 2019 (Elsevier, I.F. 2.12). PRESENTATIONS: Guests. research, empirical assessment sequence spaces. We also study National (peer reviewed): 1 • Iyer, S. Banerjee, A. K. and on mu-statistical convergence in Conference/Workshop Attended of population dynamics with • Bhowmick, A. R, Sardar, T. and Bhowmick, A. R.* Making fuzzy real numbers. Moreover at • National Symposium on potential application in ecology and Bhattacharya, S. Estimation Choices that Matter - Use of present our works on sliding window Applications of Mathematics in conservation biology. I have several of growth regulation in natural Statistical Regularization in convergence, measurable functions Science and Engineering, 2019 publications in leading international Species Distribution Modelling journals in the broad area of populations by extended family of growth curve models with for Identification of Climatic 12 Institute of Chemical Technology I Mathematics Mathematics I Institute of Chemical Technology 13 Indicators - A Case Study with 99-117, May 2019 (Elsevier, I.F. PAPERS: 1 alien ranges, seven environmental Existing unification approaches are we analyze ecological time series Mikania Micrantha Kunth in India. -4.39). SEMINARS/LECTURES/ORATIONS predictors were selected using four found to have limited applications if data by fitting mathematical models Ecological Indicators, Vol 98, pp • Pal, A., Bhowmick, A. R., DELIVERED: 28 different background choices. Using the growth equation is characterized governed by fractional differential 92-103, March 2019 (Elsevier, lasso penalty, mean diurnal range by the relative growth rate (RGR). equations (FDE). The order of the FDE Yeasmin, F, and Bhattacharya, POST GRADUATE THESIS I.F. – 4039). (mean of monthly (max temp – min RGR has immense practical value (α) is used to quantify the evidence of S. Evolution of Model Specific SUPERVISION: 03 • Banerjee, A., Chakrabarty, M., Relative Growth Rate: Its Genesis temp)) (BIO2), Isothermality (BIO2/ in biological growth curve analysis, memory in the population processes. H-INDEX: 8 Rakshit, N., Bhowmick, A. R. and and Performance Over Fisher's BIO7) (×100) (BIO3), Temperature which has been amplified by the The application of FDE is exemplified Ray, S. Environmental factors as Growth Rates. Journal of CITATIONS: 161 Annual Range (BIO5-BIO6) (BIO7), construction of size and time by analyzing time series data on two indicators of dissolved oxygen Theoretical Biology (2018) (doi: POST GRADUATE PROJECT Precipitation of Wettest Month covariate models, in which; RGR bird species Phalacrocorax carbo concentration and zooplankton 10.1016/j.jtbi.2018.02.012) Vol- SUPERVISION: 06 (BIO13), Precipitation Seasonality is represented either as a function (Great cormorant) and Parus bicolor (Coefficient of Variation) (BIO15) of size or time or both. We have (Tufted titmouse) and two mammal abundance: Deep learning versus 444, pp 11-27 (I.F. – 2.260) Ph.D. PROJECT SUPERVISION: traditional regression approach, and Precipitation of Warmest Quarter proposed a novel unification function species Castor canadensis (Beaver) 01 (ongoing) Ecological Indicators, Vol 100, pp (BIO18) were found to be strong for the RGR growth curves. The and Ursus americanus (American CONFERENCE PROCEEDINGS/ correlates for all four backgrounds. proposed function combines a broad black bear) extracted from the global The predicted probabilities from class of the growth curves and population dynamics database. Five the model containing these seven possesses a greater generality than different population growth models POST GRADUATE STUDENTS’ SEMINARS/PROJECTS: selected variables, demonstrated the existing unification functions. were fitted to these data; density- No. Name of the Student Topics higher invasion risk in the central part We also proposed the notion of independent exponential, negative 1. Dipali Vasudev Mestry Estimation of Parameters in Population Dynamics Models using Grid of India than the model containing all generalized RGR, which is capable density-dependent logistic and Approximation: A Bayesian Approach the predictors. of making interrelations among the θ-logistic model, positive density- unifying functions. Our proposed dependent exponential Allee and 2. Rahul Chandraprakash Pal Natural Language Processing Using Python method is expected to enhance the strong Allee model. Both ordinary and • A Novel Unification of Growth 3. Keshavarao Boosayya Entenika Natural Language Processing Using Python generality of software and may aid fractional derivative representations Curve Models Using Relative 4. Khsitij Anand Patil Uncertainty Modelling Using Polynomial Chaos in Spatial Population in choosing an optimal model from a of these models were fitted to the Growth Rate Dynamical System set of competitor growth equations. time series data. Markov chain Monte Growth curve models serve as the 5. Jyoti Jagdish Prajapati Modeling Species Distribution Using Python Carlo (MCMC) method was used mathematical framework for the to estimate the model parameters 6. Nilesh Naganath Kokate Data Analysis using Principal Component Regression and Factor Regression • Use of Fractional Differential quantitative studies of growth in and Akaike information criterion was using Python Equations in Population many areas of applied science. The used to select the best model. By Dynamical Systems evolution of novel growth curves estimating the return rate for each can be categorized in two notable Estimating the trend in population time of the time series, we have shown HIGHLIGHTS OF RESEARCH the potential distribution of invasive environmental information with directions, namely generalization and series data using growth curve models that populations governed by FDE WORK DONE AND ITS IMPACT: alien species and identify suitable the evidence of occurrence or unification. In case of generalization, is a central idea in population ecology. with a small value of α (high level a modeler starts with a simple Several models, mainly governed by • Research on Species environmental conditions that allow abundance data of the species. of memory) return to the stable mathematical form to describe the differential or difference equations, Distribution Modelling and the species to spread rapidly. To predict the potential distribution, equilibrium faster. This demonstrates behavior of the data and increases have been applied to real data sets Identification of Climatic The perennial vine M. micrantha species distribution models a synergistic interplay between the complexity of the equation by to identify general growth pattern Indicators for Rapid invasion has been reported to be a serious (SDMs) were built by using logistic memory and stability in natural incorporating more parameters to and make predictions. In this article, of the Invasive Plant: Mikania pest in plantation crops (e.g. tea, regression and the climatic variables populations. obtain a more flexible shape. The micrantha teak, rubber, oil palm, and banana) were chosen by using two cross- unification refers to the process of and commercial forests in its validated regularization methods Biological invasions by alien non- obtaining a compact representation invaded range. Huge economic induced by least absolute shrinkage indigenous species are one of the of a large number of growth losses have been incurred in the and selection operator (lasso) and major problems of the present era equations. An enormous number of countries where it invades such as the ridge penalty function. This which impose massive environmental growth equations are made available China, India, Malaysia, Nepal and approach has twofold benefits; and socio-economic costs. In India in the literature by means of the Papua New Guinea. In this context, it deals with the multicollinearity about 40% of the floral species have generalization of existing growth mapping the potential distribution of problem efficiently and selects the long been recognized to be aliens, laws. However, the unification of this species may provide important raw environmental covariates. F but the need for priority conservation growth equations has received insights about its invasive potential. -score was utilized to measure the efforts has only been felt since the relatively less attention from the Species Distribution models (SDMs) models’ performance. Combining turn of the century. Thus, it is now researchers. of utmost importance to predict have been utilized to integrate the the data from both native and 14 Institute of Chemical Technology I Mathematics Mathematics I Institute of Chemical Technology 15 MEMBERSHIP OF IN-HOUSE • Resource Person in the • Resource person for STTP on COMMITTEES "Data Analysis and Statistical Linear Algebra, Statistics and Mathematical Modeling: Hands • Department TEQIP Coordinator, Techniques using R" for College on organized by the K. J. Somaiya Department of Mathematics, ICT teachers in Goa, a state level College of Engineering, Vidyavihar Mumbai (March, 2019 – Till Date) workshop organized by the Department of Mathematics, during 8th – 12th Jan 2019. • In-charge of Students Training, Dhempe College, Goa during (Delivered three sessions on Placement and Alumni Affairs, 15th - 16th March 2019. The Multiple Linear Regression and Department of Mathematics, ICT workshop was sponsored by ANOVA on 8th and 9th Jan 2019) Mumbai the Department of Science and • Resource person in the Workshop SEMINARS / LECTURES / Technology , Govt. of Goa on Species Distribution Modelling CONFERENCES / SYMPOSIA • Invited Speaker in the International using MaxEnt and R (Chapter /WORKSHOPS / SUMMER OR Conference, 6th India Biodiversity -II) during December 3-9, 2018 WINTER TRAINING SCHOOLS Meet-2019 organized by the organized by the Agricultural and ATTENDED/ ORAL OR Agricultural and Ecological Ecological Research Unit, Indian POSTER PRESENTATIONS: Research Unit, Indian Statistical Statistical Institute, Kolkata. Conference/Workshop Attended Institute, Kolkata during 14- (Contents uploaded: https:// • International Conference on 16th February, 2019. Title of the sites.google.com/site/amiyaiitb/ Applied and Computational Talk: Estimation of Parameters research/ecological-niche- Mathematics (ICACM – 18) (Nov in Population Dynamic Models modelling) 23-25, 2018) organized by the Using Grid Approximation: A • Resource person in the Workshop Department of Mathematics, Bayesian Approach. on "MATLAB and R Training" IIT Kharagpur. Delivered talk in • Resource Person in the during 10th-11th July 2018 contributory session entitled "Workshop on Biological Growth organized by CPEPA, University “Estimation of Parameters in Curve Models in Population of Calcutta. Population Dynamic Models Dynamics Using R for Biologists" EVENTS ORGANIZED Using Gibbs Sampling Approach: organized by the Agricultural and AND RESPONSIBILITY An application to theta-logistic Ecological Research Unit, Indian (CONVENER /SECRETARY/ model”. Statistical Institute, Kolkata, India MEMBER): during 12-13th February, 2019. Invited Lectures delivered (Pre-conference workshop of • Coordinator of the Workshop • Resource Person in the IBM 2019, ISI Kolkata) of Deep Learning Using Python “Workshop on Statistical Methods organized by the Department • Resource person to deliver in Biological Data Analysis Using of Mathematics, Institute of an introductory lecture on R Programming” organized by the Chemical Technology, Mumbai "Probability Distribution and Department of BioEngineering, during 17th -19th December, Engineering Applications" for BIT Mesra on 15th April 2019. 2018. This program was the students of Instrumentation This workshop was organized supported by TEQIP-III. Engineering at RAIT - Ramrao under the Twinning Activities Adik Institute of Technology, Navi • Coordinator of the Friday under TEQIP-III. Mumbai on 8th February 2019. Talk Series organized by the Department of Mathematics SUPPORT STAFF under TEQIP-III.

C. R. BORADE GOVIND JOGALE Lab attendant Lab attendant (Received Gunavant Karmachari Puraskar, 2019) 16 Institute of Chemical Technology I Mathematics