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Tanay Kumar Karmakar
Ph.D. Student
Department of Mathematics
IIT Guwahati, India
Celebrating the art of mathematics as a devoted member of the American Mathematical Society (AMS).
Greetings,
I am Tanay Kumar Karmakar, a dedicated research scholar currently affiliated with the Department of Mathematics at the Indian Institute of Technology (IIT) Guwahati, located in Assam, India. My primary area of research expertise centers around the development and application of a profound methodology known as "The Patch Dynamics Scheme in Equation-free Multiscale Modeling." In our vast and intricate world, the realm of multiscale techniques is relatively scarce. Among this select few, the Patch Dynamics Scheme shines as a powerful tool. It stands out for its unique ability to extrapolate macro-level behaviors from micro-level data, offering a bridge between intricate details and overarching patterns within complex systems.
Through my research, I endeavor to contribute to our collective understanding of the intricate and interconnected world of mathematics and its real-world applications.
Thank you for visiting my profile and sharing in my passion for mathematical exploration.
Research Interest
Multiscale Modelling
Numerical Solutions of
Partial Differential Equations
Computational Fluid Dynamics
Education
Ph.D.: IIT Guwahati, India
Topic:
On the development of Patch Dynamics
Scheme in Equation-free Multiscale Modelling
Supervisor:
Prof. Durga Charan Dalal
M.Sc: IIT Hyderabad, India
Mathematics and Computing
Thesis:
Wave Propagation and Shallow
Water Theory
Supervisor:
Prof. Anantha Lakshmi Narayana P
B.Sc: Chakdaha Collage (University
of Kalyani), India
Mathematics (Honours)
Received the best oral presentation award from Research and Industrial Conclave, IIT Guwahati, India.
Qualified Graduate Aptitude Test in Engineering (GATE) 2020 conducted by IIT Delhi.
Qualified Graduate Aptitude Test in Engineering (GATE) 2019 conducted by IIT Madras.
Achived Japan International Cooperation Agency (JICA) Fellowship, 2019.
Qualified Joint CSIR-UGC NET Exam DEC-2019.
Awarded by MCM Institute Scholarship from IIT Hyderabad (2017-2019).
Cleared IIT Joint Admission test for Masters (JAM) 2017.
Awarded by Vivekananda Scholarship (GOVT. of West Bengal,India).
Events
Workshop on Multi-scale Analysis cum Conference on Differential Equations (MSADE-24), Contributed talk on The GPD Scheme in Equation-free Multiscale Modelling at MSADE-24, IIT Ropar, Punjab, India. (Feb-March 2024)"
Contributed talk on "Improved Patch Dynamics Scheme in Equation-free Multiscale Modelling" at Third International Conference on Applications of Mathematics to Nonlinear Sciences (AMNS-2023), Pokhara, Nepal. (May 2023)
Delivered oral presentation on "Improved Patch Dynamics Scheme in Equation-free Multiscale Modelling" at Research & Industrial Conclave Integration 2023, IIT Guwahati, India.
Workshop on "High-Performance Computing (HPC)", IIT Guwahati, India.
Workshop on "Emerging Areas in Differential Equations and Real-World Applications", Dhirubhai Ambani Institute of Information and Communication Technology, Gandhinagar, Gujarat, India.
International Webinar on "Mathematical Modelling of Biology and Medicine", Vidyasagar Metropolitan College, Kolkata, India.
AICTE Training and Learning on "Mathematical Modelling of Problems in Coastal and Offshore Engineering", Virtually from IIT Guwahati, India.
Workshop on "System of Conservation Laws: Theory and Numerics" conducted by Tata Institute of Fundamental Research, Centre for Applicable Mathematics, Bangalore, India (August 2019).
Teaching
MA102 (PAL Class) (Linear Algebra & Ordinary Differential Equations), Spring semester, 2024, IIT Guwahati.
MA573 (Numerical Partial Differential Equations), Spring semester, 2024, IIT Guwahati.
MA101 (PAL Class) (Single Variable Calculus & Multi-variable Calculus), Autumn semester, 2023, IIT Guwahati.
MA201 (Complex Analysis & Partial Differential Equations), Autumn semester, 2023, IIT Guwahati.
MA102 (PAL Class) (Linear Algebra & Ordinary Differential Equations), Spring semester, 2023, IIT Guwahati.
MA101 (PAL Class) (Single Variable Calculus & Multi-variable Calculus), Autumn semester, 2022, IIT Guwahati.
MA101 (Single Variable Calculus & Multi-variable Calculus), Autumn semester, 2022, IIT Guwahati.
MA101 (Single Variable Calculus & Multi-variable Calculus), Autumn semester, 2021, IIT Guwahati.
Professional Post
Member of Mess Management Committee (2022-2023), Kameng Hostel, IIT Guwahati, India.
Member of Hostel Service Management Committee (2023-2024), Kameng Hostel, IIT Guwahati, India.
Skills
Programming
C, MATLAB, LaTeX
Softwares
MATLAB, Microsoft Excel
Operating Systems
Linux, Windows, iOS
Languages
English, Bengali, Hindi
Contact details
Office
Cubical no- 10,
Research Scholar Lab- 3 (Third Floor),
Department of Mathematics,
IIT Guwahati, Amingaon,
City- North Guwahati,
District- Kamrup, State- Assam,
Pin/Zip Code- 781039, India.
Resident
Room no- 221, Block- B3,
Hostel- Kameng,
IIT Guwahati, Amingaon,
City- North Guwahati,
District- Kamrup, State- Assam,
Pin/Zip Code- 781039, India.
E-mail
tanay.kumar@iitg.ac.in
tkarmakar161@gmail.com
Phone
+91 9635444336
Gallery
AMNS 2023, Pokhara, Nepal
Pokhara from the Anadu Hill
Pokhara from the Anadu Hill
From left, Dr. Chandan Pal (IIT Guwahati), Dr. Tanujit Dey (Harvard Medical School), Prof. Dipankar Bandyopadhyay (Virginia Commonwealth University) and me.
With Prof. Bhramar Mukherjee from the University of Michigan.
The Annapurna range can be seen from the Shanti Stupa (which is a Buddhist monument on Anadu Hill) in Pokhora, Nepal.
Time- 4.30 AM, Date- 26th May, 2023