Dr. M. Prabhakar

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Associate Professor

Department of Mathematics
Indian Institute of Technology Ropar
Rupnagar, Punjab – 140001, India

Office: C-M28, Mezzanine Floor, SAB building
Email : prabhakar@iitrpr.ac.in

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/*! elementor – v3.21.0 – 26-05-2024 */
.elementor-widget-text-editor.elementor-drop-cap-view-stacked .elementor-drop-cap{background-color:#69727d;color:#fff}.elementor-widget-text-editor.elementor-drop-cap-view-framed .elementor-drop-cap{color:#69727d;border:3px solid;background-color:transparent}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap{margin-top:8px}.elementor-widget-text-editor:not(.elementor-drop-cap-view-default) .elementor-drop-cap-letter{width:1em;height:1em}.elementor-widget-text-editor .elementor-drop-cap{float:left;text-align:center;line-height:1;font-size:50px}.elementor-widget-text-editor .elementor-drop-cap-letter{display:inline-block} Dr Prabhakar is an Associate Professor in the Department of Mathematics at IIT Ropar. After obtaining his doctoral degree from IIT Delhi, he carried out post-doctoral studies at Harish Chandra Research Institute, Allahabad. He was also a visiting research fellow at Osaka City University (Japan). Dr. Prabhakar was a faculty member in the Department of Mathematics at IIT Guwahati from March 2006 to July 2009.
Areas of Research:

Knot Theory
Spatial Graphs

Ph.D., Indian Institute of Technology Delhi, India, 2005
M.Sc., Andhra University, India, 1998
B.Sc., Andhra University, India, 1996

Associate Professor, Indian Institute of Technology Ropar, India, December 2015 – at present
Assistant Professor, Indian Institute of Technology Ropar, India, 2009 – December 2015
Senior Lecturer, Indian Institute of Technology Guwahati, India, 2006-09
Visiting Researcher, Osaka City University, Osaka, Japan, 2006
Post-Doctoral Fellow, HRI, Allahabad, India, 2005-06
Teaching Assistant, Indian Institute of Technology Delhi, India, 2000-05

1. Kaur, Kirandeep; Prabhakar, Madeti; Vesnin, Andrei; Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants. J. Knot Theory Ramifications 27(2018), no. 13, 1842015, 22 pp.
2. Kaur, K.; Kamada, S.; Kawauchi, A.; Prabhakar, M. Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs. Topology Appl. 230 (2017), 586–598.
3. Siwach, Vikash; Prabhakar, Madeti On minimal unknotting crossing data for closed toric braids. Kyungpook Math. J. 57 (2017), no. 2, 331–360.
4. Vikash, S.; Madeti, P. On Arf invariant and trivializing number. Knot theory and its applications, 345–357, Contemp. Math., 670, Amer. Math. Soc., Providence, RI, 2016.
5. Vikash Siwach, Prabhakar Madeti, An Unknotting Sequence for Torus Knots, Topology and its Applications, DOI 10.1016/j.topol.2015.05.065
6. Siwach Vikash and Madeti Prabhakar, Region unknotting number of 2-bridge knots, Journal of Knot Theory and Its Ramifications, Vol. 24 (2015).
7. Siwach Vikash and Madeti Prabhakar, A Sharp Upper Bound for Region Unknotting Number of Torus Knots, Journal of Knot Theory and Its Ramifications, Vol. 22, No. 5 (2013).
8. Madeti Prabhakar and Rama Mishra, Minimal Degree Sequence for Torus Knots of type (p, q), Journal of Knot Theory and its Ramifications, Vol. 18, No. 4(2009), 485 – 491.
9. Madeti Prabhakar, A Bound on the Unknotting Number, Int. Journal of Mathematical Analysis, Vol. 3, No. 7(2009), 339 – 345.
10. Madeti Prabhakar and Rama Mishra, Polynomial Representation for Links, Proceedings of Knot Theory for Scientific Objects, OCAMI Studies Vol. 1(1) (2007), 143-154.
11. Madeti Prabhakar and Rama Mishra, Minimal Degree Sequence for Torus Knots of type (p, 2p-1), Journal of Knot Theory and its Ramifications, Vol. 15, No. 9(2006), 1141-1151.
12. Madeti Prabhakar and Rama Mishra, Minimal Degree Sequence for 2-Bridge Knots, Fundamenta Mathematicae, 190(2006), 191-210.

Events Organized:

ICTS Program “Advanced School and Discussion Meeting on Knot Theory and its Applications” at IISER Mohali from 10 – 20 December, 2013.
2. Kaur, K.; Kamada, S.; Kawauchi, A.; Prabhakar, M. Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs. Topology Appl. 230 (2017), 586–598.

Other Research Related Results:

Siwach Vikash and Madeti Prabhakar, MATLAB Program for Minimal Unknotting Crossing Data.
Siwach Vikash and Madeti Prabhakar, Unknotting number of some Knots

Dr Prabhakar is an Associate Professor in the Department of Mathematics at IIT Ropar. After obtaining his doctoral degree from IIT Delhi, he carried out post-doctoral studies at Harish Chandra Research Institute, Allahabad. He was also a visiting research fellow at Osaka City University (Japan). Dr. Prabhakar was a faculty member in the Department of Mathematics at IIT Guwahati from March 2006 to July 2009.Areas of Research:

Knot Theory
Spatial Graphs

Ph.D., Indian Institute of Technology Delhi, India, 2005
M.Sc., Andhra University, India, 1998
B.Sc., Andhra University, India, 1996

Associate Professor, Indian Institute of Technology Ropar, India, December 2015 – at present
Assistant Professor, Indian Institute of Technology Ropar, India, 2009 – December 2015
Senior Lecturer, Indian Institute of Technology Guwahati, India, 2006-09
Visiting Researcher, Osaka City University, Osaka, Japan, 2006
Post-Doctoral Fellow, HRI, Allahabad, India, 2005-06
Teaching Assistant, Indian Institute of Technology Delhi, India, 2000-05

1. Kaur, Kirandeep; Prabhakar, Madeti; Vesnin, Andrei; Two-variable polynomial invariants of virtual knots arising from flat virtual knot invariants. J. Knot Theory Ramifications 27(2018), no. 13, 1842015, 22 pp.
2. Kaur, K.; Kamada, S.; Kawauchi, A.; Prabhakar, M. Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs. Topology Appl. 230 (2017), 586–598.
3. Siwach, Vikash; Prabhakar, Madeti On minimal unknotting crossing data for closed toric braids. Kyungpook Math. J. 57 (2017), no. 2, 331–360.
4. Vikash, S.; Madeti, P. On Arf invariant and trivializing number. Knot theory and its applications, 345–357, Contemp. Math., 670, Amer. Math. Soc., Providence, RI, 2016.
5. Vikash Siwach, Prabhakar Madeti, An Unknotting Sequence for Torus Knots, Topology and its Applications, DOI 10.1016/j.topol.2015.05.065
6. Siwach Vikash and Madeti Prabhakar, Region unknotting number of 2-bridge knots, Journal of Knot Theory and Its Ramifications, Vol. 24 (2015).
7. Siwach Vikash and Madeti Prabhakar, A Sharp Upper Bound for Region Unknotting Number of Torus Knots, Journal of Knot Theory and Its Ramifications, Vol. 22, No. 5 (2013).
8. Madeti Prabhakar and Rama Mishra, Minimal Degree Sequence for Torus Knots of type (p, q), Journal of Knot Theory and its Ramifications, Vol. 18, No. 4(2009), 485 – 491.
9. Madeti Prabhakar, A Bound on the Unknotting Number, Int. Journal of Mathematical Analysis, Vol. 3, No. 7(2009), 339 – 345.
10. Madeti Prabhakar and Rama Mishra, Polynomial Representation for Links, Proceedings of Knot Theory for Scientific Objects, OCAMI Studies Vol. 1(1) (2007), 143-154.
11. Madeti Prabhakar and Rama Mishra, Minimal Degree Sequence for Torus Knots of type (p, 2p-1), Journal of Knot Theory and its Ramifications, Vol. 15, No. 9(2006), 1141-1151.
12. Madeti Prabhakar and Rama Mishra, Minimal Degree Sequence for 2-Bridge Knots, Fundamenta Mathematicae, 190(2006), 191-210.

Events Organized:

ICTS Program “Advanced School and Discussion Meeting on Knot Theory and its Applications” at IISER Mohali from 10 – 20 December, 2013.
2. Kaur, K.; Kamada, S.; Kawauchi, A.; Prabhakar, M. Gauss diagrams, unknotting numbers and trivializing numbers of spatial graphs. Topology Appl. 230 (2017), 586–598.

Other Research Related Results:

Siwach Vikash and Madeti Prabhakar, MATLAB Program for Minimal Unknotting Crossing Data.
Siwach Vikash and Madeti Prabhakar, Unknotting number of some Knots

Workshop & Conferences

- 85th ANNUAL CONFERENCE OF INDIAN MATHEMATICAL SOCIETY
  Role: Co-Convenor
  Participants: 250
  Date: November 22 – 25, 2019
  Venue: Department of Mathematics, IIT Kharagpur

- INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND COMPUTATION
  Role: Co-Convenor
  Participants: 160
  Date: November 23 – 25, 2018
  Venue: Department of Mathematics, IIT Kharagpur

- INTERNATIONAL CONFERENCE ON POPULATION BALANCE MODELLING
  Role: Co-Chair
  Participants: 150
  Date: May 07-09, 2018
  Venue: Ghent University, Belgium

- REGIONAL SYMPOSIUM ON MATHEMATICS
  Role: Secretary
  Participants: 150
  Date: January 15 – 17, 2010
  Venue: Department of Mathematics, IIT Kharagpur

Short Term Courses

- FOURIER SERIES, TRANSFORM TECHNIQUES AND THEIR APPLICATIONS
  Role: Coordinator
  Participants: 23
  Date: February 25 – March 01, 2019
  Venue: Department of Mathematics, IIT Kharagpur

- DIFFERENTIAL EQUATIONS – THEORY, COMPUTATION AND APPLICATIONS
  Role: Co-Coordinator
  Participants: 46
  Date: February 27-March 03, 2017
  Venue: Department of Mathematics, IIT Kharagpur

- NUMERICAL APPROXIMATIONS OF POPULATIONS BALANCE EQUATIONS
  Role: Coordinator
  Participants: 35
  Date: June 25 – July 2, 2010
  Venue: Otto-von-Guericke-University Magdeburg, Germany

Institute Responsibilities

- PIC, Ranking & IoE (Aug 2021 – to Date)

- Warden – AZAD Hall of Residence (Jan 2021 – to Date)

- Institute Coordinator – Online Induction Program 2020

- SPOC, Smart India Hackathon – 2020

- Member, Organizing Team, Convocation – 2016, 2018, 2019 & 2021

- Member, Organizing Committee, 54th Inter-IIT Sports Meet 2019

- Chaiman, Techno-Management Fest IIT Kharagpur (Kshitij) – 2018 & 2019

- Co-Chaiman, Techno-Management Fest IIT Kharagpur (Kshitij) – 2017

- Member, Organizing Team, Spring Fest – 2017, 2018, 2019

- Rector’s Nominee (Technology) – Technology Students’ Gymkhana (2014 – 2017).

- Assistant Warden – MS Hall of Residence (2011 – 2013)

Department Responsibilities

- Research Scholars Coordinator (2019 – to date)

- Faculty Advisor – Integrated M.Sc.-Ph.D. Students (2017-2019)

- In-Charge, Training and Placement (2015 – 2019)

- Research Scholar Coordinator, Co-Incharge (2015 – 2018)

- Secretary, 1st Year Curriculum Revision Committee (2016 – 17)

- Course Coordinator of Several Core Courses (Mathematics-I & II, Numerical Solutions of ODE & PDE, Advanced Numerical Analysis, Preparatory Mathematics-I)

- Member, Departmental Time Table Committee (2010 – 2012)

- Departmental ERP Representative (2010 – 2012)

- Departmental Computer Laboratory, Co-Incharge (2010 – 2012)

- Member, Departmental Academic Committee (UG, PG & R)

Editorial Work

Academic Editor – International Journal of Chemical Engineering

- 85th ANNUAL CONFERENCE OF INDIAN MATHEMATICAL SOCIETY
  Role: Co-Convenor
  Participants: 250
  Date: November 22 – 25, 2019
  Venue: Department of Mathematics, IIT Kharagpur

- INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS AND COMPUTATION
  Role: Co-Convenor
  Participants: 160
  Date: November 23 – 25, 2018
  Venue: Department of Mathematics, IIT Kharagpur

- INTERNATIONAL CONFERENCE ON POPULATION BALANCE MODELLING
  Role: Co-Chair
  Participants: 150
  Date: May 07-09, 2018
  Venue: Ghent University, Belgium

- REGIONAL SYMPOSIUM ON MATHEMATICS
  Role: Secretary
  Participants: 150
  Date: January 15 – 17, 2010
  Venue: Department of Mathematics, IIT Kharagpur

- FOURIER SERIES, TRANSFORM TECHNIQUES AND THEIR APPLICATIONS
  Role: Coordinator
  Participants: 23
  Date: February 25 – March 01, 2019
  Venue: Department of Mathematics, IIT Kharagpur

- DIFFERENTIAL EQUATIONS – THEORY, COMPUTATION AND APPLICATIONS
  Role: Co-Coordinator
  Participants: 46
  Date: February 27-March 03, 2017
  Venue: Department of Mathematics, IIT Kharagpur

- NUMERICAL APPROXIMATIONS OF POPULATIONS BALANCE EQUATIONS
  Role: Coordinator
  Participants: 35
  Date: June 25 – July 2, 2010
  Venue: Otto-von-Guericke-University Magdeburg, Germany

- PIC, Ranking & IoE (Aug 2021 – to Date)

- Warden – AZAD Hall of Residence (Jan 2021 – to Date)

- Institute Coordinator – Online Induction Program 2020

- SPOC, Smart India Hackathon – 2020

- Member, Organizing Team, Convocation – 2016, 2018, 2019 & 2021

- Member, Organizing Committee, 54th Inter-IIT Sports Meet 2019

- Chaiman, Techno-Management Fest IIT Kharagpur (Kshitij) – 2018 & 2019

- Co-Chaiman, Techno-Management Fest IIT Kharagpur (Kshitij) – 2017

- Member, Organizing Team, Spring Fest – 2017, 2018, 2019

- Rector’s Nominee (Technology) – Technology Students’ Gymkhana (2014 – 2017).

- Assistant Warden – MS Hall of Residence (2011 – 2013)

- Research Scholars Coordinator (2019 – to date)

- Faculty Advisor – Integrated M.Sc.-Ph.D. Students (2017-2019)

- In-Charge, Training and Placement (2015 – 2019)

- Research Scholar Coordinator, Co-Incharge (2015 – 2018)

- Secretary, 1st Year Curriculum Revision Committee (2016 – 17)

- Course Coordinator of Several Core Courses (Mathematics-I & II, Numerical Solutions of ODE & PDE, Advanced Numerical Analysis, Preparatory Mathematics-I)

- Member, Departmental Time Table Committee (2010 – 2012)

- Departmental ERP Representative (2010 – 2012)

- Departmental Computer Laboratory, Co-Incharge (2010 – 2012)

- Member, Departmental Academic Committee (UG, PG & R)

Academic Editor – International Journal of Chemical Engineering

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