Education

1. Ph.D., 2007, University of Wyoming , USA.
2. M.Sc., 2003, Indian Institute of Technology , Kharagpur, India.
3. B.Sc.(Honours), 2001, Rahara Ramkrishna Mission Vivekanada Centenary College, University of Calcutta , Kolkata, India.

Work Experience

1. Professor, School of Mathematics, Indian Institute of Science Education and Research , Thiruvananthapuram, India, January 2020 - till date.
2. Associate Professor, School of Mathematics, Indian Institute of Science Education and Research , Thiruvananthapuram, India, July 2014 - December 2019.
3. Assistant Professor, School of Mathematics, Indian Institute of Science Education and Research , Thiruvananthapuram, India, May 2009 - June 2014.
4. Post-doctoral fellow, November 2007 - July 2009 Max Planck Institute for Mathematics in the Sciences , Leipzig, Germany.
5. Visiting Post-doctoral fellow, September 2007 - October 2007, Institut Mittag Leffler , The Royal Swedish Academy of Sciences, Sweden.
6. Researcher in Mathematical Fluid Dynamics funded by the US Army Research Office (ARO), Probability and Statistic Program, Principal investigator: Prof. Dr. Sivaguru S. Sritharan, September 1, 2003 - August 28, 2007.

Journal Publications

1. Wong-Zakai approximation  for the Stochastic Landau-Lifshitz-Gilbert equations with anisotropy energy. Utpal Manna, Debopriya Mukherjee and Akash A Panda. Published online in Journal of Mathematical Analysis and Applications (2019). https://doi.org/10.1016/j.jmaa.2019.123384. 
2. Large Deviations for Stochastic Nematic Liquid Crystals driven by Multiplicative Gaussian Noise. Zdzislaw Brze ́zniak, Utpal Manna and Akash A Panda. Published online in Potential Analysis (2019). https://doi.org/10.1007/s11118-019-09788-6 .
3. Weak martingale solutions for the stochastic nonlinear Schrodinger equation driven by pure jump noise. Fabian Hornung, Zdzislaw Brze ́zniak and Utpal Manna. Published online in Stochastics and Partial Differential Equations:Analysis and Computations (2019). https://doi.org/10.1007/s40072-019-00141-x.
4. Higher Order Regularity and Blow-up Criterion for Semi-dissipative and Ideal Boussinesq Equations. Utpal Manna and Akash A Panda. Journal of Mathematical Physics, Volume 60, Issue 4 (2019), 041503, 22 pp. https://doi.org/10.1063/1.5048839.
5. Weak Solutions of a Stochastic Landau-Lifshitz-Gilbert Equation Driven by Pure Jump Noise. Zdzislaw Brze ́zniak and Utpal Manna. Published online in Communications in Mathematical Physics (2019). https://doi.org/10.1007/s00220-019-03359-x.
6. Wong-Zakai approximation for the Stochastic Landau-Lifshitz-Gilbert equations. Zdzislaw Brze ́zniak, Utpal Manna and Debopriya Mukherjee. Journal of Differential Equations, Volume 267, Issue 2 (2019), 776–825. https://doi.org/10.1016/j.jde.2019.01.025.
7. Martingale solutions of Nematic Liquid Crystals driven by Pure Jump Noise in the Marcus Canonical Form. Zdzislaw Brze ́zniak, Utpal Manna and Akash A panda. Journal of Differential Equations, Volume 266, Issue 10 (2019), 6204–6283. https://doi.org/10.1016/j.jde.2018.11.001.
8. Stochastic Landau-Lifshitz-Gilbert Equation with Anisotropy Energy Driven by Pure Jump Noise. Zdzislaw Brze ́zniak and Utpal Manna. Computers and Mathematics with Applications, Volume 77, Issue 6 (2019), 1503– 1512. https://doi.org/10.1016/j.camwa.2018.08.009.
9. Stochastic Analysis and Control of Tidal Dynamics with Levy Noise. Pooja Agarwal, Utpal Manna and Debopriya Mukherjee. Applied Mathematics and Optimization, Volume 79, Issue 2 (2019), 327–396. https://doi.org/10.1007/s00245-017-9440-2.
10. Optimal Relaxed Control of Hereditary Stochastic Evolution Equations with Levy Noise. Utpal Manna and Debopriya Mukherjee. Published online in ESAIM: Control, Optimisation and Calculus of Variations (2018), https://doi.org/10.1051/cocv/2018066.
11. Strong Solutions of Stochastic Models for Viscoelastic Flows of Oldroyd Type. Utpal Manna and Debopriya Mukherjee. Nonlinear Analysis, Volume 165 (2017), 198–242.
12. Stochastic Non-Resistive Magnetohydrodynamic System with Levy Noise. Utpal Manna, Manil T Mohan and Sivaguru S Sritharan. Random Operators and Stochastic Equations, Volume 25, Issue 3 (2017), 155–194.
13. Stochastic Navier-Stokes Equations in Unbounded Channel Domains, Utpal Manna. Manil T Mohan and Sivaguru S Sritharan. Journal of Mathematical Fluid Mechanics, Volume 17, Issue 1 (2015), 47–86.
14. Impacts of Water Supply Uncertainty and Storage on Irrigation Technology Adoption. Anik Bhaduri and Utpal Manna. Natural Resource Modeling, Volume 27, Issue 1 (2014), 1–24.
15. Large Deviations for the Shell Model of Turbulence Perturbed by Levy Noise. Utpal Manna and Manil T Mohan. Communications on Stochastic Analysis, Volume 7, Number 1 (2013), 39–63.
16. Two-dimensional Magneto-Hydrodynamic System with Jump Processes: Well Posedness and Invariant Measures. Utpal Manna and Manil T Mohan. Communications on Stochastic Analysis, Volume 7, Number 1 (2013), 153– 178.
17. Climate Change and Cooperation in Transboundary Water Sharing: An Application of Stochastic Stackelberg Differential Games in Volta River Basin. A. Bhaduri, U. Manna, E. Barbier and J. Liebe. Natural Resource Modeling, Volume 24, Issue 4 (2011), 409–444. DOI: 10.1111/j.1939-7445.2011. 00097.x.
18. Shell Model of Turbulence Perturbed by Levy Noise. Utpal Manna and Manil T Mohan. Nonlinear Differential Equations and Applications (NoDEA), Volume 18, Number 6 (2011), 615–648. DOI: 10.1007/s00030-011-0110-9.
19. Large Deviations For The Stochastic Shell Model of Turbulence. U. Manna, S.S. Sritharan and P. Sundar. Nonlinear Differential Equations and Applications (NoDEA), Volume 16, Number 4 (2009), 493–521. DOI: 10.1007/s00030-009-0023-z. 
20. Stochastic Analysis of Tidal Dynamics Equation. U. Manna, J.L. Menaldi and S.S. Sritharan. Infinite Dimensional Stochastic Analysis , 90-113, QP-PQ: Quantum Probab. White Noise Anal., 22, World Scientific Publishers, Hackensack, NJ, 2008.
21. Lyapunov Functionals and Local Dissipativity of the Vorticity Equation in L^p and Besov spaces. U. Manna and S.S. Sritharan. Differential and Integral Equations, Volume 20, Number 5 (2007), 481–498.
22. Stochastic 2-D Navier-Stokes Equation with Artificial Compressibility. U. Manna, J.L. Menaldi and S.S. Sritharan. Communications on Stochastic Analysis, Volume 1, Number 1 (2007), 123–139.

Articles Under Review

1. Well-posedness and Large Deviations for 2D Stochastic Constrained Navier-Stokes Equations driven by Levy Noise in the Marcus canonical form. Utpal Manna and Akash A Panda. Submitted for Journal Publication. 
2. Weak martingale solution of stochastic critical Oldroyd-B type models perturbed by pure jump noise. Utpal Manna and Debopriya Mukherjee. Submitted for Journal Publication. 
3. Weak solutions and invariant measures of stochastic Oldroyd-B type model driven by jump noise. Utpal Manna and Debopriya Mukherjee. Submitted for Journal Publication.
4. On The Two and Three Dimensional Ideal Magnetic Benard Problem  - Local Existence and Blow-up Criterion. Utpal Manna and Akash A Panda. Submitted for Journal Publication.  http://arxiv.org/abs/1706.05046.
    

Extramural Research Grants

• Project Title - Study of Stochastic Nematic Liquid Crystal Models and Related Constrained Physical Problems.

Funding Agency: Science and Engineering Research Board (SERB) under the Mathematical Research Impact Centric Support (MATRICS) scheme.

Amount: INR 6 lakhs. Period: 2019-2022.

• Project Title - Stochastic Landau-Lifshitz-Gilbert Equation with Levy noise and Ferromagnetism.

Funding Agency: The Royal Society (UK) under the International Exchange Scheme.

Amount: GBP 12000. Period: September 2014 - June 2017. 

Principal Investigator from the UK side: Prof. Zdzislaw Brze'zniak, University of York, UK.

• Project Title - Study of Stochastic Analysis and Control of Certain Hydrodynamic Models. 

Funding Agency - National Board of Higher Mathematics (NBHM), Department of Atomic Energy, Government of India.

Funding Period: 2014-2017. 

International Travel Grants

• NBHM International Travel Grant of INR 2.3 lakhs to attend The International Congress on Industrial and Applied Mathematics (ICIAM-2019), Valencia, Spain, July 15--19, 2019. 
• NBHM International Travel Grant of INR 3 lakhs to attend The International Congress of Mathematicians (ICM-2018), Rio-de-Janeiro, Brazil, August 01--09, 2018.
• NBHM International Travel Grant of INR 2 lakhs to attend The International Congress on Industrial and Applied Mathematics (ICIAM-2015), Beijing, China, August 10 -- 14, 2015. 
• NBHM International Travel Grant of INR 2 lakhs to attend the International Congress of Mathematicians (ICM-2014), Seoul, Korea, August 13 -- 21, 2014.

Grants secured to conduct International Conferences/Workshops

• Indo-UK Workshop on Stochastic Partial Differential Equations and Applications;  Dec 9 -- 19, 2015.

Grants received from  EPSRC, UK (GBP 10000), DST (INR 10 lakhs) and NBHM (INR 5.5 lakhs).

• ICTS Winter School on Stochastic Analysis and Control of Fluid Flow; December 3--20, 2012.

Grants received from ICTS of INR 26 lakhs.

PhD Students Supervised

1. Dr. Manil T Mohan. Graduated in August 2014. 

Thesis Title: Stochastic Analysis of General Hydrodynamic Models

Currently Assistant Professor (Grade  I) in the Department of Mathematics, Indian Institute of Technology, Roorkee. 

2. Dr. Debopriya Mukherjee. Defended thesis in July 2018 and received degree in June 2019. Co-Supervisor: Dr. Sheetal Dharmatti

Thesis Title: Study of stochastic viscoelastic fluid models and related constrained physical problems

Previously, Postdoctoral fellow in the School of Mathematics and Statistics, University of New South Wales, Sydney.

Currenlty Marie-Curie fellow at the Montanuniversitat Leoben, Austria. 

1. Dr. Akash Ashirbad Panda, Defended Thesis in December 2019.  

Current PhD Students

1. Mr. Soham Sanjay Gokhale
2. Mr. P. L. Mahendranath (as co-supervisor)

BS-MS Major Projects Supervised

1. Mr. Gaurav Dhariwal (2013); Ph.D. from the University of York, UK; Currently a postdoc in Technische Universitat Wien, Austria 
2. Ms. Pooja Agarwal (2014); currently a Ph.D. student at Brown University, USA  
3. Ms. Aiswarya Sashidharan (2015)
4. Mr. Nimit Rana (2015); currently a Ph.D. student at University of York, UK
5. Ms. Pravisha J. B. (2016)
6. Mr. Arjun K. M. (2017); currently a Ph.D. student at Indian Institute of Science Education and Research, Pune, India
7. Mr. Midhun B. (2018)
8. Ms. Harshita Dogra (2018); joined as a Ph.D. student  in the University of Connecticut, USA
9. Ms. Priyanka Daimary (2019)

Courses Taught at IISER Thiruvananthapuram: 

1. Varsha 2020: An Introduction to Stochastic Calculus and Its Applications; Class size: 32 (BS-MS/IPhD/PhD Elective course)
2. Vasanth 2020: Theory of Ordinary Differential Equations; Class size: 30 (BS-MS Major course)
3. Varsha 2019: Multivariable Calculus; Class size: 190 (BS-MS Foundational course)
4. Vasanth 2019: Theory of Ordinary Differential Equations; Class size: 20 (BS-MS Major course)
5. Varsha 2018: Multivariable Calculus; Class size: 214 (BS-MS Foundational course)
6. Vasanth 2018: Topic in Applied Mathematics; Class size: 10 (BS-MS/IPhD/PhD Elective course)
7. Varsha 2017: An Introduction to Stochastic Calculus and Its Applications; Class size: 21 (BS-MS/IPhD/PhD Elective course)
8. Vasanth 2017: Measure Theory and Integration; Class size: 24 (BS-MS Major course)
9. Varsha 2016: Partial Differential Equations; Class size: 20 (BS-MS Major course)
10. Vasanth 2016: Probability Theory and Random Processes; Class size: 20 (BS-MS Major course)
11. Varsha 2015: Partial Differential Equations; Class size: 8 (BS-MS Major course)
12. Vasanth 2015: Single Variable Calculus; Class size: 140 (BS-MS Foundational course)
13. Varsha 2014: Probability Theory and Random Processes; Class size: 21 (BS-MS Major course)
14. Vasanth 2014: Distribution Theory and Sobolev Spaces; Class size: 9 (BS-MS/IPhD/PhD Elective course)
15. Varsha 2013: Introductory Analysis - II; Class size: 110 (BS-MS Foundational course)
16. Vasanth 2013: Advanced Analysis; Class size: 12 (BS-MS/IPhD/PhD Elective course)
17. Varsha 2012: Introductory Analysis - II; Class size: 80 (BS-MS Foundational course)
18. Varsha 2011: Theory of Ordinary Differential Equations; Class size: 15 (BS-MS Major course)
19. Vasanth 2011: Measure Theory and Integration; Class size: 4 (BS-MS Major course)
20. Varsha 2010: Real Analysis; Class size: 6 (BS-MS Major course)
21. Vasanth 2010: Stochastic Processes; Class size: 1 (PhD reading course)
22. Vasanth 2010: Navier-Stokes Equations; Class size: 1 (PhD reading course)
23. Vasanth 2010: Multivariable Calculus and Ordinary Differential Equations; Class size: 55 (BS-MS Foundational course)
24. Varsha 2009: Advanced Functional Analysis; Class size: 1 (PhD reading course)
25. Varsha 2009: Partial Differential Equations; Class size: 1 (PhD reading course)
26. Varsha 2009: Calculus and Linear Algebra; Class size: 55 (BS-MS Foundational course)

Workshops/Conferences Organised

• Main Indian Organiser and Convener of the  Indo-UK Workshop on Stochastic Partial Differential Equations and Applications --  Dec 9 -- 19, 2015.

Funded by EPSRC (UK) and DST & NBHM (DAE), GoI. 

Plenary Speakers: David Applebaum, Zdzislaw Brzezniak, David Elworthy, Istvan Gyongy, Martin Hairer, Xue-Mei Li, Alexander Veretennikov. 

Web link: http://spde.iisertvm.ac.in 

• One of the organisers for the National Programme on Differential Equations: Theory, Computation and Applications -- Advanced Level programme 2014; May 26--June13, 2014.
• Main Organiser and Convener of the ICTS Winter School on Stochastic Analysis and Control of Fluid Flow; December 3--20, 2012.

Web link:  http://www.icts.res.in/program/all/details/322/

Selected Recent Talks in Conferences/Symposia/Workshops

• Mathematical Finance and Stochastic Analysis Seminar at University of York, UK; May 15, 2017; Talk title: "Landau-Lifshitz-Gilbert Equation with Pure Jump Noise."
• Workshop 4: Numerics for Stochastic Partial Differential Equations and their Applications. RICAM, Linz, Austria; December 12 - 16, 2016; Talk title: "Existence of Weak Martingale Solution of Landau-Lifshitz-Gilbert Equation with Pure Jump Noise."
• Stochastic Partial Differential Equations & Applications - X at Levico Terme, Italy; May 30 - June 3, 2016; Talk title: "Stochastic non-resistive magneto-hydrodynamic system with Levy noise." 
• Mathematical Finance and Stochastic Analysis Seminar at University of York, UK; May 25, 2015; Talk title: "Stochastic magneto-hydrodynamics equations."
• Mathematical Finance and Stochastic Analysis Seminar at University of York, UK; December 15, 2014; Talk title: "Stochastic Navier-Stokes Equations in Unbounded Channel Domains."

Selected Review Work Done for International Journals

• Annals of Applied Probability
• Annales de l'Institut Henri Poincare' (B) Probabilite's et Statistiques
• Advances in Nonlinear Analysis
• Numerische Mathematik
• Stochastics
• Applied Mathematics and Optimization
• Discrete and Continuous Dynamical Systems - A
• Computers and Mathematics with Applications 
• Pure and Applied Functional Analysis

From the very inception of IISER Thiruvananthapuram, I have been part of numerous committees (both at the school and the institute level). Only a few important responsible contributions are listed below:

• Head, School of Mathematics. Term: October 2014 -- August 2017. 
• BS-MS Coordinator. Term: January 2015 -- December 2015.
• Coordinator (currently this position is termed as ``Head"), School of Mathematics. Term: January 2011 -- December 2012.
• Chief Warden. Term: January 2011 -- September 2014. 
• Coordinator, Students' Disciplinary Committee of the Institute. Term: January 2013 -- December 2014.
• Faculty in-charge of Institute Library. Term: August 2009 -- December 2012.
• Member and Convener of the Joint Admission Committee of IISER Admissions (for BS-MS programme) - 2010 & 2011.
• Coordinator, Trivandrum Center, Kishore Vaigyanik Protsahan Yojana (KVPY) Interviews - 2013 & 2015.

1. Kerala State Young Scientist Award 2014 by the Kerala State Council for Science, Technology and Environment, Govt. of Kerala, India.

2. Part of the Indian delegations chosen by NBHM (DAE) to represent India in ICM 2014 (Seoul), ICIAM 2015 (Beijing), ICM 2018 (Rio-de-Janeiro) and ICIAM 2019 (Valencia).

3. Virindra and Gail Sehgal Award and Catherine Gibbs Shaw Award for outstanding academic achievement, presented by Department of Mathematics, University of Wyoming, April 18, 2007.

4. Received Paul Stock Scholarship from College of Arts & Sciences, University of Wyoming, December 2006, for presenting a paper in an international conference.

5. Graduate School Travel Funding, University of Wyoming, December 2006, for presenting a paper in an international conference.

Dr Utpal Manna
Associate Professor
School of Mathematics
Indian Institute of Science Education and Research
Maruthamala P.O, Vithura
Thiruvananthapuram - 695551
Kerala, India

Phone: +91-(0)471-2778136
Email: manna.utpal[at]iisertvm[dot]ac[dot]in

Education

1. Ph.D., 2007, University of Wyoming , USA.
2. M.Sc., 2003, Indian Institute of Technology , Kharagpur, India.
3. B.Sc.(Honours), 2001, Rahara Ramkrishna Mission Vivekanada Centenary College, University of Calcutta , Kolkata, India.

Work Experience

1. Professor, School of Mathematics, Indian Institute of Science Education and Research , Thiruvananthapuram, India, January 2020 - till date.
2. Associate Professor, School of Mathematics, Indian Institute of Science Education and Research , Thiruvananthapuram, India, July 2014 - December 2019.
3. Assistant Professor, School of Mathematics, Indian Institute of Science Education and Research , Thiruvananthapuram, India, May 2009 - June 2014.
4. Post-doctoral fellow, November 2007 - July 2009 Max Planck Institute for Mathematics in the Sciences , Leipzig, Germany.
5. Visiting Post-doctoral fellow, September 2007 - October 2007, Institut Mittag Leffler , The Royal Swedish Academy of Sciences, Sweden.
6. Researcher in Mathematical Fluid Dynamics funded by the US Army Research Office (ARO), Probability and Statistic Program, Principal investigator: Prof. Dr. Sivaguru S. Sritharan, September 1, 2003 - August 28, 2007.