Mathematics - Research Activities & Achievements of Faculty Members 

 A) Research Papers /Articles (Published) :

1. Basic retracts and counting of lattices by Bhavale and Waphare, Australasian Journal of  Combinatorics, 78(1) (2020), 73-99. https://ajc.maths.uq.edu.au/pdf/78/ajc_v78_p073.pdf
2. Posets dismantlable by doubly irreducible by Bhavale and Waphare, Journal of the Indian Mathematical Society, 88(1-2) (2021), 46-59.https://informaticsjournals.co.in/index.php/jims/article/view/26053
3. An ear decomposition of a graph by Bhavale and Gajul, International Journal of Mathematics and Computer Research, 12(8) (2024), 4409-4415. https://doi.org/10.47191/ijmcr/v12i8.07
4. An orientability of a graph by Bhavale and Gajul, International Journal of Mathematics And its Applications, 12(4) (2024), 55-63. https://ijmaa.in/index.php/ijmaa/article/view/1513
5. A survey of dimension of posets by Ubale and Bhavale, International Journal of Mathematics and Computer Research, 13(1) (2025), 4762-4772. https://doi.org/10.47191/ijmcr/v13i1.07
6. Graceful labeling of posets by Bhavale and Shelke, International Journal of Mathematics and Computer Research, 13(2) (2025), 4864-4877. https://doi.org/10.47191/ijmcr/v13i02.11
7. Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity four by Bhavale et al., International Journal of Mathematics and Computer Research, 13(4) (2025), 5099-5106. https://doi.org/10.47191/ijmcr/v13i4.12
8. Verification of counting of lattices by Bhavale et al., Journal of Emerging Technologies and Innovative Research, 12(5) (2025), d30-d40.
9. Counting of lattices having nullity up to two by Bhavale and Aware, Journal of Combinatorial Mathematics and Combinatorial Computing, 126 (2025), 215-223. https://doi.org/10.61091/jcmcc126-14
10. Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity five by Bhavale et al., International Journal of Mathematics And its Applications, 13(2) (2025), 27-34.  https://ijmaa.in/index.php/ijmaa/article/view/1552
11. Counting of lattices on up to three reducible elements by Bhavale and Aware, Journal of the Indian Mathematical Society, 92(3) (2025), 512-529. https://informaticsjournals.co.in/index.php/jims/article/view/36377
12. Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity six by Bhavale et al., International Journal of Mathematics and Computer Research, 13(9) (2025), 5605-5620. https://doi.org/10.47191/ijmcr/v13i9.04
13. Counting of lattices on four comparable reducible elements having nullity up to three by Aware and Bhavale, Journal of Combinatorial Mathematics and Combinatorial Computing, (Accepted on 30/08/2025). https://arxiv.org/abs/2412.03627

B) Research Papers /Articles (Communicated) :

1. Antimagic labelings of a complete graph by Bhavale, Mathematics Student, (2024). https://doi.org/10.48550/arXiv.2506.15221
2. Enumeration of lattices of nullity k and containing r comparable reducible elements by Bhavale, Soft Computing, (2024). https://doi.org/10.48550/arXiv.2502.06912
3. Dimension of RC- lattices by Bhavale, Journal of Combinatorial Mathematics and Combinatorial Computing, (2025). https://arxiv.org/abs/2501.08318
4. Counting of lattices containing up to 4 reducible elements and having nullity up to 3 by Bhavale, Journal of the Indian Mathematical Society, (2025).
5. Equivalence of labeled graphs and lattices by Bhavale, Congressus Numerantium, (2025). https://arxiv.org/abs/2501.05064
6. On the Characteristic polynomial of ABS Matrix and ABS Energy of some graphs by S. Barde, Mundhe, M. Kshirsagar, and A. N. Bhavale, (preprint) (2025).

C) Research Projects Completed :

1. Completed a minor research project (MRP) on “Enumeration of certain classes of lattices and related aspects” sponsored by Board of College and University Development (BCUD), University of Pune. The amount of the funding was Rs. 1,00,000 /- and the duration was 1st June, 2009 to 12th April, 2012.
2. Completed a minor research project (MRP) on “An ear decomposition and orientability of a graph” sponsored by Modern College of ASC(A), Pune -5 under the SEED Money Project Scheme 2024. The amount of the funding was Rs.1,86,660 /- and the duration was from 23rd January, 2024 to 22nd January, 2025.

D) Research Guidance/Supervision :

 1) PG students (under Yuva Sanshodhak Scheme (YSS) of the college):

• 2022-23: 3 projects, 5 students and the total sanctioned amount is Rs.15,000/-
• 2024-25: 4 projects, 9 students and the total sanctioned amount is Rs.10,000/-

Two projects presentations by the students got the first rank (in 2022-23 and 2024-25), and one project got the second rank (in 2024-25) in Science and Technology.

2) Ph.D. students: 03.

E) Chairperson/Moderator/Judge :

1. Worked as a Judge in Mathematics for “Avishkar Competition-2018 (Zonal Level)” held at Modern College of Arts, Science and Commerce, Pune-5 on 5^th December, 2017.
2. Worked as a Evaluator for “Yuva Sanshodhak Scheme (YSS) Projects 2023-24”  in Modern College of Arts, Science and Commerce, Pune-5 on 15^th January, 2024.
3. Performed as a Moderator in 9^th International European Conference on Interdisciplinary Scientific Research held at Valencia, Spain during 19^th to 21^st January, 2024.
4. Chaired a session of contributory paper presentations in 90^th Annual Conference of the Indian Mathematical Society held at MIT WPU, Pune during 23^rd to 26^th December, 2024.

F) Invited Talks/Guest Lectures :

1. Delivered a lecture on “RSA Cryptography” in the four day Training Programme in ‘C’ language organized by Department of Mathematics, Modern College of Arts, Science and Commerce, Ganeshkhind, Pune-53 under Quality Improvement Programme(QIP) of University of Pune during 28^th February, 2005 to 3^rd March, 2005.
2. Delivered a lecture on “Relation Theory” in  Poona District Education Association’s Arts, Commerce and Science College, Pirangut, Pune – 42  on 29^th December, 2010.
3. Delivered an invited talk on “Enumeration of Lattices” in 79^th Annual Conference of Indian Mathematical Society(IMS) held at Rajagiri School of Engineering and Technology, Cochin, Kerala during 28^th to 31^st December, 2013.
4. Delivered a lecture on ‘Algebra’ in the “Workshop on Mathematics at P.G. Level” organized by Bhaskaracharya Pratishthana, Pune on 10th September,  2017.
5. Worked as a Resource Person in Two Days State Level Workshop on “Role of Mathematical Software in Teaching, Learning and Research” sponsored by SPPU, Pune and held at K.T.H.M. College, Nashik-2 during 29^th December, 2017 to 30^th December, 2017.
6. Delivered a Plenary Session on ‘Latex Programming and Applications’ in the “One Day State Level Seminar on Recent Trends in Mathematics” sponsored by BCUD, SPPU, Pune and held at Anantrao Pawar College, Pirangut, Pune on 27^th February, 2018.
7. Delivered a lecture in the “NET/SET Workshop in the subject of Mathematics” held at the Department of Mathematics, L.V.H. College, Panchavati, Nashik-3 on 8^th March, 2018.
8. Delivered a lecture on “Ordinary Differential Equations” in MES Abasaheb Garware College, Pune on 25^th September, 2018.
9. Conducted a session on “Counting of Lattices” in the Refresher Course on Mathematics and Computational Sciences, organized by UGC-HRD Center, SPPU, Pune 7 at Department of Mathematics on 21^st February, 2025.

G) Paper / Poster Presentations in University / National/ International Level Conferences:

1. Participated and presented the paper entitled “Enumeration of Lattices with n elements and n+2 coverings” in the 71^st Annual Conference of the Indian Mathematical Society (IMS) held at the Department of Mathematics, Indian Institute of Technology (IIT), Roorkee during 26^th to 29^th December, 2005.
2. International Conference on Special Functions and their Applications held at Department of Mathematics, University of Pune during 21^st to 23^rd February, 2006.
3. Participated and presented a poster in Zonal Level Research Project Competition for Teacher at Avishkar-2011 Research Festival under Pure Science category held at H.V.Desai College, Pune-2 on 14^th December, 2011. The content of the poster is an outcome of the minor research project funded by BCUD, University of Pune, Pune.
4. Participated and presented the paper entitled “Dismantlable lattices in which reducible elements are comparable” in the 77^th Annual Conference of the Indian Mathematical Society (IMS) held at School of Mathematical Sciences, S.R.T.M. University, Nanded during 27^th to 30^th December, 2011.
5. Participated and presented the paper entitled “Enumeration of certain classes of lattices and related aspects” in Regional Research Conference for Pune University College Teachers Innovation – 2011 for the discipline Science held at BJS Arts, Science & Commerce college, Wagholi, Pune during 26^th to 27^th March, 2012. The content of the paper is an outcome of the minor research project funded by BCUD, University of Pune, Pune.
6. Participated and presented the paper entitled “Counting of lattices with three reducible elements” in the National Conference on Discrete Mathematics held at the Department of Mathematics, University of Pune during 22^nd to 24^th December, 2012.
7. Participated and presented the paper entitled “On dimension of posets” in the National Conference on Recent Developments in Mathematics and Statistics sponsored by UGC and University of Pune and co-sponsored by Marathwada Mathematical Society (MMS), Aurangabad and held at T. C. College, Baramati, Pune during 14^th to 16^th February, 2013.
8. Participated and presented the paper entitled “Enumeration of basic blocks in which all the reducible elements are comparable” in the National Conference on Discrete Mathematics, Algebra and Analysis held at the Department of Mathematics, University of Pune during 21^st to 24^th April, 2013.
9. Participated and presented the paper entitled “Counting Basic Blocks” in the 3^rd International Conference on Discrete Mathematics (ICDM-2013) sponsored by DST and VTU held at Karnataka University, Pawate Nagar, Dharwad-3, India during 10^th to 14^th June, 2013.
10. Participated and presented the paper entitled “An ear decomposition of a graph” in the National Conference on Pure and Applied Mathematics organized by and held at the Department of Mathematics, College of Engineering, Pune (COEP) during 17^th to 19^th December, 2013.
11. Participated and presented the paper entitled “Enumeration of lattices” in 79^th Annual Conference of Indian Mathematical Society (IMS) held at Rajagiri School of Engineering and Technology, Cochin, Kerala during 28^th to 31^st December, 2013.
12. Participated and presented the paper entitled “Enumeration of lattices in which all the reducible elements are comparable” in 29^th Annual Conference of Ramanujan Mathematical Society (RMS) held at Indian Institute of Science Education and Research (IISER), Pune during 23^rd to 27^th June, 2014.
13. Participated and presented the paper entitled “Posets dismantlable by doubly irreducibles” in 102^nd Indian Science Congress (ISCA-2015) held at University of Mumbai, Mumbai during 3^rd to 7^th January, 2015.
14. International Conference on Algebra and Discrete Mathematics (ICADM-2022) organised by Department of Mathematics, SPPU, Pune-7 during 26^th to 28^th May, 2022.
15. Participated and presented the paper entitled “Counting of some classes of lattices on up to three reducible elements” in 3^rd International SIIRT Conference on Scientific Research held at SIIRT University, Turkiye during 18^th to 19^th November, 2022.
16. Participated and presented the paper entitled “Counting of modular, distributive, slim, semimodular lattices on up to three reducible elements” in 9^th International European Conference on Interdisciplinary Scientific Research held at Valencia, Spain during 19^th to 21^st January, 2024.
17. Participated and presented the paper entitled “p-labeling of posets” in 3^rd International Paris Congress on Applied Sciences held at Paris, France during 17^th to 19^th February, 2024.
18. Participated and presented the paper entitled “Edge labeling of a subgraph of the complete graph” in 4^th International Conference on Scientific Research held at Ahi Evran University, Kirsehir, Turkiye during 26^th to 28^th April, 2024.
19. Participated and presented the paper entitled “An ear decomposition of a graph” in 4^th International Cankaya Scientific Studies Congress held at Ankara, Turkiye during 7^th to 9^th September, 2024.
20. Participated and presented the paper entitled “An orientability of a graph” in 10^th International Aegean Congress on Natural and Medical Sciences held at Izmir, Turkiye during 5^th to 7^th October, 2024.
21. Participated and presented the paper entitled “Counting of RC- lattices containing up to four reducible elements and having nullity up to three” in 3^rd International Korkut Ala Scientific Research Conference held at Bahee, Osmaniye, Turkiye during 22^nd to 24^th November, 2024.
22. Participated and presented the paper entitled “Counting of lattices containing up to four reducible elements and having nullity up to three” in 90^th Annual Conference of the Indian Mathematical Society held at MIT WPU, Pune during 23^rd to 26^th December, 2024.
23. Participated and presented the paper entitled “A survey of dimension of posets” in 13^th International Mardin Artuklu Scientific Researches Conference held at Mardin, Turkiye during 13^th to 15^th January, 2025.
24. Participated and presented the paper entitled “Counting of lattices having nullity up to two” in 4^th International Karadeniz Scientific Research Conference held at Trabzon, Turkiye during 8^th to 9^th February, 2025.
25. Participated and presented the paper entitled “Counting of lattices containing up to five reducible elements and having nullity up to three” in 7^th INTERNATIONAL BOĞAZİÇİ SCIENTIFIC RESEARCH CONGRESS at İSTANBUL, TÜRKİYE during 3^rd to 4^th May, 2025.
26. Invited for a presentation of “short communication” on “Equivalence of labeled graphs and lattices” at the “International Congress of Mathematicians (ICM 2026)” which will be held at Philadelphia, Pennsylvania, USA, during 23^rd July to 30^th July, 2026.

H) Chapters in Books / Books Published :

1. Mathematics for Pharmacy students (EPH, 2004). (ISBN -8176601241)
2. Mathematics and Statistical methods for Biologists (Nirali, 2009).
3. Mathematics and Statistics (Std. XII, Arts & Science, Part-I) (Maharashtra State Board of Secondary and Higher Secondary Education, Pune, 2010 ). (Contributed four chapters).

I) Patents:

1. Indian Design Patent: Foldable walking chair stick for orthopaedic patient (425667-001; 08/11/2024).
2. Indian Patent: Sustainable recycling technologies for lithium, nickel, and cobalt in electric vehicle battery life-cycle management (202421056762; 08/11/2024).

 A) Research Papers /Articles (Published) :

1. Published a Research paper titled “Solution of the modified Helmholtz equation using mixed boundary conditions in an equilateral triangle” in Partial Differential Equations in Applied Mathematics, Elsevier, in September 2024.
2. Published a research paper “Initial value Linear Evolution equations involving parabolic operator on the plane” in International Journal of Mathematics Trends and Technologies, 47 (5), 336-337 in 2017.

B) Research Papers Presented :

1. Presented a Research paper titled “B-Spline method for perturbed boundary value problems” at the International Conference in Recent Trends in Mathematics and Statistics, organized by KavayitriBahinabai Chaudhari, North Maharashtra University, Jalgaon in February 2025.
2. Presented a paper entitled “Initial Values Linear Evolution equations in a plane” in the International Conference held at Sadguru GadageMaharaj College, Karad in September 2015.

C) Workshops / Conferences / Webinars attended:

1. Participated in a One-day online workshop on “A Quick start with Wolfram Language” organized by OEMS, Intiparkar Corporation and Wolfram Malaysia  February 2025.
2. Participated in the International Workshop on Hands-On-Minds-On: Effective Science Teaching and Learning for undergraduate teachers on 27th February 2023, conducted jointly by Durham University, UK and IISER Pune.
3. Participated in the National Conference on Implementation of National Education Policy 2020 conducted by Modern College and Savitribai Phule Pune University under the Quality Improvement Programme, February 2023.
4. Attended one week online workshop on “Preparation for NAAC” Accreditation organized by MCASC, Pune 5  in association with Rashtriya Uchchatar Shiksha Abhiyan (RUSA) in April 2021.
5. Attended an online MS-DEED (Level – 1) Workshop for College teachers in January 2022 organized by COESME, IISER Pune.
6. Participated in a one-week Online Workshop on MOOCs, e-Content Development and OERs organized by UGC-HRDC and Devi Ahilya Vishwavidyalaya, Indore in May 2020.

D) FDP / Refresher / Certificate courses:

1. Attended two-week online Faculty Development Programme on “NEP 2020 Orientation and Sensitization Programme” under Malaviya Mission Teachers Training Programme and UGC organized by IISER Pune in February 2025.
2. Attended a two-weeks Refresher Course on “Foundation Course in Vedic Mathematics” organised by the Ministry of Education, Malaviya Mission Teacher Training Programme in April 2024.
3. Attended a one-week Faculty development Programme organised by the Ministry of Education, Malaviya Mission Teacher Training Programme in February 2024.
4. Participated in Master Trainer Program of MS-DEED (Level 2) programme – Two weeks Faculty Development Program conducted by IISER, Pune in December 2022.
5. Participated in an online Faculty Development Programme “Bringing Learner Centricity to Teaching-Learning Process” organized by Vidyalankar School of Information Technology, Wadala in January 2022.
6. Participated in a two week Faculty Development Programme on Managing Online Classes and Co-creating MOOCS 2.0 organised by the Ministry of HRD and Ramanujan College, University of Delhi in May-June 2020.
7. Participated in one week Faculty Development Programme on NAAC- AQAR submission in Revised format organized by RUSA, Maharashtra in February 2021.

E) Resource Person in Workshop/Conferences :

1. Worked as a Resource person in MS-DEED Level 1 programme jointly organised by IISER, Pune and (a)  Sofia College, Mumbai in July 2024  (b)  YCS College, Satara in November 2024, (c) Sanjay Ghodawat University, Kolhapur in January 2025  (d) KTHM College, Nasik in March 2025 (e) SRM College, Kudal in April 2025.
2. Worked as a Master Trainer in MS-DEED Level 1 program in Workshop on Introduction to Innovative Pedagogies for Teachers of Undergraduate Science and Mathematics at Shahu College, Nasik in collaboration with IISER Pune, October 2023.
3. Worked as a Master Trainer in MS-DEED Level 1 program in Workshop on Inquiry based teaching for Mathematics at Karmaveer Bhaurao Patil College, Pandharpur, in collaboration with IISER Pune, April 2023.
4. Worked as a Trainer in MS-DEED Level 2 program in Workshop for College teachers conducted by IISER Pune, May 2023.
5. Worked as a Master Trainer in MS-DEED Level 1 program in Workshop on Inquiry based Mathematics Laboratory at Government College of Arts and Science, Aurangabad, in collaboration with IISER Pune, August 2023.
6. Worked as a Master Trainer in MS-DEED Level 1 program on “Introduction to Innovative Pedagogies for Teachers of Undergraduate Science & Mathematics, September 2023 at MSFDA and IISER, Pune.
7. Worked as a Master Trainer in MS-DEED Level 1 program in Workshop on Inquiry based Mathematics Laboratory at Marathwada Mitra Mandal College, Pune, in collaboration with IISER Pune, June 2023.
8. Worked as a Master Trainer in MS-DEED Level 1 program in Workshop on Effective Teaching Learning in Mathematics at SNU, Delhi, in collaboration with IISER Pune, August 2023.
9. Worked as a Resource person in “Techniques to Crack NET-SET Examinations” conducted by Institute of Science, Mumbai, January 2023.
10. Worked as Resource Person in State Level Online Workshop on SET / NET Examination in Mathematics with Maharashtra Education Society’s Abasaheb Garware College, Pune, Shikshana Prasarak Mandali’s Sir Parashurambhau College, Pune and Bhaskaracharya Pratishthana Pune.

F) Guest Lectures delivered:

1. Delivered Guest lectures in (a) Abasaheb Garware College on Vector Calculus in February 2023 (b) Ramkrishna More College, Pune in March 2024.
2. Delivered an online guest lecture on “Applications of Mathematics”  for Engineering students at MIT ADT University, School of Engineering in December 2021.
3. Delivered two guest lectures in online mode on Role of Mathematics in Engineering Education at Gokhale Education Society’s Sapat College of Engineering, Nashik in October 2020.

G) Other academic activities : 

1. Created E-content for B.Sc. students and uploaded about 300 Youtube videos on Institutional Repository.
2. Worked as a member of Generic IKS committee and created E-content on Ancient Indian Mathematics – MOOC course in 2024 and 2025.

 A) Authority Bodies:

1. Member of  Board of Studies in Mathematics at Savitribai Phule Pune University (SPPU) for the period of 2023-2028.
2. Member of  Board of Studies in Mathematics at Tikaram jagannath Arts, Commerce and Science College, Khadki, Pune-3

B) Copyright Awarded :

1. Received a Copyright Certificate for ‘Post Result Analysis Technique’ from Government of India under ‘Literary/ Dramatic Work: This coding system is created in purpose of sorting the data automatically without zero error within 15-20 minutes for each class.’

C) Research Publications :

1. Gadagkar, Pratul, Subhash Kendre, and Pooja Paratane. “Solution of the modified Helmholtz equation using mixed boundary conditions in an equilateral triangle.” Partial Differential Equations in Applied Mathematics 11 (2024): 100895.
2. Paratane, P. M., and Bit, A. K., Sensitivity analysis in multiobjective solid transportation problem,  Journal of Indian Mathematical Society (JIMS), 90 (3-4), 343-356 (2023).
3. Paratane, P. M., and Bit, A. K., Tolerance sensitivity analysis of objective functions coefficients in multiobjective transportation problem, Malaya Journal of Matematik, 8 (3), 791–796, (2020).
4. Paratane, P. M., and Bit, A. K., Tolerance Analysis in Multi-objective Transportation problem, Journal of Indian Mathematical Society (JIMS) , 87 (3-4), 178–192, (2020). https://doi.org/10.18311/jims/2020/25450.
5. Paratane, P., and Bit, A. K., Fuzzy programming technique with new exponential membership function for the solution of multiobjective transportation problem with mixed constraint, Journal of Emerging Technologies and Innovative Research , 6(5), 246–254, (2019).
6. Paratane, P., and Bit, A. K., Fuzzy programming technique with new exponential membership function for the solution of multiobjective transportation problem, The Journal of Fuzzy Mathematics, Los Angeles, 27(1), 259–270, (2019).
7. Paratane, Pooja, History and Development of Operations Research: A Review, Dynanamay, 6(1), 33-37, (2020).

D) Paper Presented at Conferences :

1. Presented a research paper ‘Solution of multiobjective fuzzy solid transportation problem using   fuzzy programming approach with non-linear membership function’ in International Conference on “Emerging Frontiers in Mathematical and Computational Sciences (EFMCS-2024)”  organized by Department of Mathematics, North-East Hilly University, Shilong, Meghalaya during 24-26, October 2024.
2. Presented a research paper entitled ‘Tolerance Approach to sensitivity analysis in multiobjective transportation problem’ in 51^st Annual convention of Operation Society of India & International Conference (ORSI 2018) held at IIT Bombay in December 2018.
3. Presented a research paper entitled ‘Fuzzy programming approach with new exponential membership function for solution of multiobjective transportation problem’ in 49^th Annual convention of Operation Society of India & International Conference (ORSI 2016) on ‘Analytics of Operations Research’ held at BIMTECH, Greater Noida in December 2016.
4. Presented a research paper entitled “Fuzzy programming approach with new exponential membership function for solution of multiobjective transportation problem with mixed constraints, in International Conference on ‘Advances in Computer Technology and Management’ held at Dr. D. Y. Patil Institute of MCA in February 2018.
5. Presented a research paper entitled “A review work on Multicriteria Transportation Problem, in the International Conference on ‘Mathematical Sciences’ held at Sadguru Gadge Maharaj, Karad in September 2015.

E) Syllabus Restructuring :

1. As a part of subcommittee for syllabus preparation and BOS member of SPPU, Pune, Designed  syllabus for LATEX course at S. Y. B. Sc. Mathematics for Savitribai Phule Pune University in December 2024 and Designed syllabus for two subjects  ‘Operations Research and Optimization Techniques’ at M.Sc. Mathematics for academic year 2023-24 at Savitribai Phule Pune University.
2. Designed the syllabus of Matrix Algebra for T. J. College (Autonomous), Khadki, Pune-3.

F) Workshops / Conferences/ Webinars : 

1. Attended webinar on ‘A Quick Start with Wolfram Language’ organised by OEMS Intipakar Corporation Sdn. Bhd. (720421-X) (Wolfram Malaysia Sole Partner), University of Malaysia.
2. Participated in the MS-DEED Level 1 Blended Workshop Introduction to Innovative Pedagogies for Science and Engineering Teachers from 23^rd to 27^th July 2024 at MIT World Peace University, Pune conducted by IISER Pune and supported by Maharashtra State Faculty Development Academy.
3. Attended in ‘International conference on Recent Trends in Mathematics and Statistics (ICRTMS-2025) organised by ‘School of Mathematical Sciences, Kavayatri Bahinabai Chaudhari North Maharashtra University, Jalgaon.’ held during 7-8, February 2025.
4. Attended one day National Webinar on ‘Multi-Criteria Decision Making Models and Applications (MCDMA 2021) organized by ORSI Durgapur Chapter on 26^th September 2021.
5. Attended National Webinar on ‘Cultivating Reading Habits among students in Digital Era: Role of Libraries and Librarians’ organized by Library and Information Center of Modern College, Shivajinagar, Pune 5 on 16^th October 2021.
6. Attended Maxima Software Workshop in July 2019 organised by Modern College of Arts, Science and Commerce, Shivajinagar, Pune-5.
7. Attended Python Workshop on 17-18^th January 2020 organised by Modern College of Arts, Science and Commerce, Shivajinagar, Pune-5
8. Successfully completed ‘3-days Training for Student Induction Program’ organized by UGC in IISER in June 2019.

G) FDP/ Refresher/ Certificate courses : 

1. Successfully completed Refresher Course in ‘Vedic Mathematics’ from 31^st March – 15^th April, 2024 with A+ grade.
2. Successfully completed two weeks Refresher Course with ‘A+ Grade’ in Mathematics and Statistics organized by UGC-Human Resource Development Centre, Sardar Patel University, Vallabh Vidyanagar, Gujarat.
3. Successfully completed two weeks Refresher course ‘Data Analytics and Mathematical Software Tools’ with ‘A+ Grade’ organized by ‘teaching and Learning Center, Ramanujan College, University of Delhi in collaboration with Jamal Mohamed College held during 25 February 2022 to 3 March 2022.
4. Successfully completed two weeks Resourse course ‘Refresher Course in Mathematics/Operations Research/Statistics and Computer Science’ with ‘A+ Grade’ organized by ‘Centre of Professional Development in Higher Education-Human Resource Development Centre, University of Delhi held during 2 December 2020 to 15 December 2020.
5. Successfully completed the Certificate Course on ‘Basics of Light Music’ organised by Department of Performing Arts, Modern College of Arts, Science and Commerce (Autonomous), Shivajinagar, Pune-411005.
6. Successfully completed the certificate course cum workshop in “Excel Basics for Data Analytics’ with A+ grade from Sanatan Dharm College, Ambala, Haryana.
7. Faculty Development Programmes (FDP) completed

• One week FDP on ‘NEP-2020’ NEP-2020 from 29^th May – 4^th June, 2023 organized by Teaching Learning Centre Ramanujan College, University of Delhi with A+ grade.
• One-week FDP on “AI IN EDUCATION” with A+ grade organized by TLC Ramanujan College in collaboration with Sri Guru Gobind Singh College of Commerce, University of Delhi under Malaviya Mission Teacher Training Programme from 29^th March – 4^th April, 2024
• One week FDP on ‘NEP 2020, Orientation & Sensitization’ form 13^th March – 26^th March 2024 organized by UGC MM_TT Savitribai Phule Pune University.
• Successfully completed two weeks  “Faculty Development program  on Managing Online Classes & Co- creating MOOCS 2.0 “with ‘A +Grade’ organized by ‘Teaching Learning Centre,  Ramanujan College, University of Delhi under the aegis of  Ministry of Education Pandit Madan Mohan Malaviya National Mission on Teachers and Teaching held during 18 May 2020 to 3 June 2020.

H) Resource Person for Workshops :

1. Invited as a Resource Person in Panel Discussion in one day workshop on ‘NEP-2020 : Implementation of syllabus structuring in Science & Technology Faculty’ organized by Poona College of Arts, Science and Commerce, Pune on 20^th May 2024.
2. Invited as a Resource Person for the Two Days Faculty Development Program on ‘LATEX’ in Prof. Ramakrishna More Arts, Commerce and Science College, Akurdi, Pune-44 held on 30^th September and 1^st October 2024.

I) Guest Lectures delivered :

1. Delivered guest lecture on ‘Mathematics in higher education and opportunities in Mathematics’ for 11^th Science students at Abasaheb Garware College, Pune on occasion of National Mathematics Day.
2. Delivered guest lecture on ‘Careers in Mathematics’ for First year and second year  students at Dr. D. Y. Patil College, Pimpri, Pune on 19^th March 2025.
3. Delivered a Guest Lecture on ‘Sequence of functions in Real Analysis’ in Prof. Ramkrishna More College, Akurdi.
4. Delivered  a  guest lecture on ‘Applications of Operations Research in Commerce’  to BBA students in  Modern College of BBA, BCA (Self Finance) , Shivajinagar, Pune -5 on 22^nd March 2022.
5. Delivered  series of  guest lectures on ‘LaTeX software’ for M.Sc. (Mathematics) students in Modern College, Ganeshkhind, Pune in May 2021.

J) In-house Publications :

1. Edited booklet published on ‘Result Analysis 2017-19 & Progress Report’  based on the results of all classes from academic year 2016-17 to 2018-19 including class-wise, gender-wise and category-wise results of all faculties.
2. Edited and Released souvenir of ‘The Journey of Best Student Trophy’ in January 2020 on occasion of Golden Jubilee of Modern College, Shivajinagar, Pune-5.
3. Institutional repository of College:

A] The study material in the form of videos and text are made available to students available on Institutional repository of College:

a) Operations Research : Simplex Method, Transportation Problem

b) Analytical Geometry : Analytical Geometry of two dimensions, Planes, Lines, Spheres

c) Business Mathematics :Business Mathematics Semester I & Semester II

d) Real Analysis

e) Numerical Analysis

f) Practical Booklets: Computational Geometry I, II, III ; Numerical Methods ; Analytical Geometry 

 A) Workshops/Conferences/webinars attended :

1. Participated in a One-day online workshop on “A Quick start with Wolfram Language” organized by OEMS, Intiparkar Corporation and Wolfram Malaysia  February 2025.
2. Participated in the National Conference on Implementation of National Education Policy 2020 conducted by Modern College and Savitribai Phule Pune University under the Quality Improvement Programme, February 2023.
3. Attended an online MS-DEED (Level – 1) Workshop for College teachers in January 2022 organized by COESME, IISER Pune.
4. Participated in a one-week Online Workshop on MOOCs, e-Content Development and OERs organized by UGC-HRDC and Devi Ahilya Vishwavidyalaya, Indore in May 2020.

B) FDP / Refresher / Certificate Courses :

1. Attended two-week online Faculty Development Programme on “NEP 2020 Orientation and Sensitization Programme” under Malaviya Mission Teachers Training Programme and UGC organized by IISER Pune in February 2025.
2. Attended a two-weeks Refresher Course on “Foundation Course in Vedic Mathematics” organised by the Ministry of Education, Malaviya Mission Teacher Training Programme in April 2024.

C) Syllabus Restructuring :

1. Worked as BOS member for the patterns (i) Autonomy 2019 (ii) NEP 2023 Pattern (iii) NEP 2024 Pattern in Modern College of Arts, Science and Commerce, Pune – 5.

D) Administrative duties : 

1. Worked as a coordinator for “Rangoli Competition ” on National Mathematics day in December 2019.
2. Worked as a coordinator LMS-MS Teams coordinators.

 A) Workshops/Conferences/webinars attended :

1. Participated in the National Conference on Implementation of National Education Policy 2020 conducted by Modern College and Savitribai Phule Pune University under the Quality Improvement Programme, February 2023.
2. Attended an online MS-DEED (Level – 1) Workshop for College teachers in January 2022 organized by COESME, IISER Pune. 
3. Participated in a one-week Online Workshop on MOOCs, e-Content Development and OERs organized by UGC-HRDC and Devi Ahilya Vishwavidyalaya, Indore in May 2020.

 A) Research Publications :

1. A. N. Bhavale and B. P. Aware, Counting of lattices having nullity up to two, Journal of Combinatorial Mathematics and Combinatorial Computing, 126, (2025), 215-223. https://doi.org/10.61091/jcmcc126-14.
2. A. N. Bhavale and B. P. Aware, Counting of Lattices on up to Three Reducible Elements, The Journal of the Indian Mathematical Society, 92(3), (2025), 512–529. https://doi.org/10.18311/jims/2025/36377.
3. A. N. Bhavale, B. P. Aware, S. A. Suryawanshi, A. B. Daundkar, A. P. Bachate, Verification of counting of lattices, International Journal of Emerging Technologies and Innovative Research, Vol.12(5), (2025),30- 40, http://www.jetir.org/papers/JETIR2505336.
4. B. P. Aware and A. N. Bhavale, Counting of lattices containing up to four comparable reducible elements and having nullity up to three, Journal of Combinatorial Mathematics and Combinatorial Computing (accepted 2025).
5. B. P. Aware and A. N. Bhavale, Counting of lattices containing up to five comparable reducible elements and having nullity up to three (preprint) (2025), arXiv:2503.13519.

B) Paper Presentations :

1. Presented paper at National Conference on Recent Advances in Pure, Industrial, and  Applied Mathematics Driven by AI and ML on 5 June 2025.
2. Presented paper at 3rd International Korkut Ata Conference on scientific research, held  at Türkiye on 22 Nov 2024.
3. Presented paper at 4th International Conference on scientific research, held at Türkiye  on 26 Apr 2024.
4. Presented paper at 9th International European Conference on Interdisciplinary Scientific Research, held at Valencia, Spain on 19 Jan 2024.
5. Presented paper at International Conference on Discrete Mathematics ICADM on 26 May 2022.
6. Presented paper at International Conference on Discrete Mathematics SIIRT.
7. Presented paper at 4th International Black Sciences and Innovation Congress.

C) Indian Design Patent :

Foldable walking chair stick for orthopaedic patient (425667-001; 08/11/2024).

D) Research Project :

1. Avishkar: Research Project presented at Zonal Level Avishkar-2024 competition held at PDEA’s Annasaheb Magar college, Hadapsar, Pune and also in Avishkar-2025 competition held at Modern College of ASC(A), Pune-5.

 A) Research Publications :

1. Completed a minor research project (MRP) under the guidance of Dr. A. N. Bhavale on “An ear decomposition and orientability of a graph” sponsored by Modern College of ASC(A), Pune -5 under the SEED Money Project Scheme 2024. The amount of the funding was Rs.1,86,660 /- and the duration was from 23rd January, 2024 to 22nd January, 2025.
2. A research paper published entitled “An ear decomposition of a graph” by Bhavale and Gajul in the International Journal of Mathematics and Computer Research, 12(8) (2024), 4409-4415.
3. A research paper published entitled “An orientability of a graph” by Bhavale and Gajul in the International Journal of Mathematics and its applications, 12(4) (2024), 55-63.
4. Presented the paper entitled “An ear decomposition of a graph” in 4th International Chankaya Scientific Studies Congress held at Ankara, Turkiye during 7th  to 9th September, 2024.
5. Presented the paper entitled “An orientability of a graph” in 10th International Aegean Congress on Natural and Medical Sciences held at Izmir, Turkiye during 5th  to 7th October, 2024.

 A) Research Publications :

1. Bhavale, A., Ubale, V., & Shelke, D. Hasse diagrams of basic blocks containing four comparable reducible elements and having nullity six, International Journal of Mathematics and Computer Research, 13(09) (2025), 5605-5620.  https://doi.org/10.47191/ijmcr/v13i9.04
2. Ubale, V., & Bhavale, A., A survey of dimension of posets,  International Journal of Mathematics and Computer Research, 13(1) (2025), 4762-4772.  https://doi.org/10.47191/ijmcr/v13i1.07
3. Ubale, V., & Mande, V. (2025). A note on Prabhakar Derivative,  International Journal of Mathematics and Computer Research, 13(1), 4718-4726.  https://doi.org/10.47191/jmcr/v13i1.03

B) Paper Presentation :

1. A survey of dimension of posets at 13th International Mardin Artuklu Scientific Researches Conference.

C) Patents :

1. Sustainable Recycling Technologies for Lithium, Nickel, And Cobalt In Electric Vehicle Battery Life-Cycle Management by Bhavale, Ubale, et al. (Patent Record No:202421056762)
2. Dual Side Pendrive by Vasave, Ubale, et al.  (Patent Id: 440134-001)
3. Device for Analysing Data for Plagiarism  Checking by Jain, Ubale, et al. (Patent Id: 437834-001)