Convener(s)
| Name: | Prof. G Sankara Raju Kosuru | Prof. Bidhan C Sardar | Prof. Manmohan Vashisth |
| Mailing Address: | Associate Professor IIT Ropar |
Department of Mathematics, |
Assistant Professor |
| Email: | raju at iitrpr.ac.in | bidhan.math at iitm.ac.in | manmohanvashisth at iitrpr.ac.in |
The three-week program aims to provide an intensive study of topics in Analysis and Partial Differential Equations. It will feature lectures on cutting-edge research in these areas, making it ideal for postgraduate/PhD students and advanced undergraduate students in mathematics. The courses are designed to foster an active learning environment through a blend of traditional lectures and flipped classroom methods, complemented by extensive tutorial sessions.
Dates:
Venue:
Venue Address:
Department of Mathematics, IIT Ropar, Rupnagar – 140001, Punjab, India
Venue State:
Venue City:
PIN:
Syllabus:
Detailed syllabus
| Name of the Speaker with affiliation | No. of Lectures | Detailed Syllabus |
| Prof. E K Narayanan (EKN) | 6 | Definition and examples of topological vector spaces (TVS), locally convex spaces, Continuity of linear functionals on (LCS), Frechet spaces and examples, The Hahn-Banach theorems and Applications. |
| Prof. G S Raju K (GSR) | 6 | Review of Lp spaces and basic properties, dual of Lp spaces, weak and weak* convergence in Lp spaces, Convolution and Fourier transforms. |
| Prof. Mnamohan Vashisth (MV) | 6 | Definition and examples of distributions, calculus with distributions, convolution and Fourier transform of distribution, Paley-Wiener theorems, Notion of Fundamental solutions to PDEs. |
| Prof. Venky P Krishnan (VPK) | 6 | Sobolov spaces-Properties, Embedding theorem, Poincare inequality, Trace theory. |
| Prof. K Sandeep (KS) | 6 | Lax-Milgram's theorem, Existence and uniqueness of weak solutions of Poisson's equation. |
| Prof. Bidhan Chandra Sardar (BCS) | 6 | Time-dependent Sobolev spaces, Second-order parabolic equations, Existence and uniqueness of weak solution (Galerkin's method), Maximum principles. |
References:
- Partial Differential Equations by Lawrence C. Evans.
- Partial Differential Equations in Action by Sandro Salsa.
- Introduction to PDEs by Gerald B. Folland.
- Functional analysis by W. Rudin.
- Measure theory and fine properties of functions by Lawrence C. Evans and Ronald F. Gariepy.
- Topics in functional analysis by S. Kesavan
- Functional Analysis, Sobolev Spaces and Partial Differential Equations by Haim Brezis.
Time Table:
|
Day |
Date |
Lecture 1 |
Tea |
Lecture 2 |
Lunch |
Tutorial |
Tea |
Tutorial |
Snack |
|
|
|
(name of the speaker) |
|
(name of the speaker |
|
(name of the speaker + tutors) |
|
(name of the speaker + tutors) |
|
|
Mon |
26 May |
EKN |
|
GSR |
|
EKN+MAB+KL |
|
GSR+PS+AD |
|
|
Tues |
27 May |
EKN |
|
GSR |
|
EKN+MAB+KL |
|
GSR+PS+AD |
|
|
Wed |
28 May |
EKN |
|
GSR |
|
EKN+MAB+KL |
|
GSR+PS+AD |
|
|
Thu |
29 May |
EKN |
|
GSR |
|
EKN+MAB+KL |
|
GSR+PS+AD |
|
|
Fri |
30 May |
EKN |
|
GSR |
|
EKN+MAB+KL |
|
GSR+PS+AD |
|
|
Sat |
31 May |
EKN |
|
GSR |
|
EKN+MAB+KL |
|
GSR+PS+AD |
|
|
SUNDAY: OFF |
|||||||||
|
Mon |
2 June |
MV |
|
VPK |
|
MV+RB+PK |
|
VPK+VR+MK |
|
|
Tues |
3 June |
MV |
|
VPK |
|
MV+RB+PK |
|
VPK+VR+MK |
|
|
Wed |
4 June |
MV |
|
VPK |
|
MV+RB+PK |
|
VPK+VR+MK |
|
|
Thu |
5 June |
MV |
|
VPK |
|
MV+RB+PK |
|
VPK+VR+MK |
|
|
Fri |
6 June |
MV |
|
VPK |
|
MV+RB+PK |
|
VPK+VR+MK |
|
|
Sat |
7 June |
MV |
|
VPK |
|
MV+RB+PK |
|
VPK+VR+MK |
|
|
SUNDAY: OFF |
|||||||||
|
Mon |
9 June |
KS |
|
BCS |
|
KS+RT+SG |
|
BCS+RR+SA |
|
|
Tues |
10 June |
KS |
|
BCS |
|
KS+RT+SG |
|
BCS+RR+SA |
|
|
Wed |
11 June |
KS |
|
BCS |
|
KS+RT+SG |
|
BCS+RR+SA |
|
|
Thu |
12 June |
KS |
|
BCS |
|
KS+RT+SG |
|
BCS+RR+SA |
|
|
Fri |
13 June |
KS |
|
BCS |
|
KS+RT+SG |
|
BCS+RR+SA |
|
|
Sat |
14 June |
KS |
|
BCS |
|
KS+RT+SG |
|
BCS+RR+SA |
|
Full forms for the abbreviations of speakers and tutors:
Tutorial Assistants:
|
S. No. |
Abbreviations of speakers |
Name of the speaker |
Affiliation |
|
1 |
EKN |
Prof. E. K. Narayanan |
IISc Bangalore |
|
2 |
VK |
Prof. Venkateswan Krishnan |
TIFR CAM Bangalore |
|
3 |
SK |
Prof. K. Sandeep |
TIFR CAM Bangalore |
|
4. |
GSR |
Dr. G Sankara Raju Kosuru |
IIT Ropar |
|
5. |
MV |
Dr. Manmohan Vashisth |
IIT Ropar |
|
6. |
BCS |
Dr. Bidhan C Sardar |
IIT Ropar |
Tutorial Assistants:
|
S. No. |
Name |
Affiliation |
|
1 |
Vinay Rana (VR) |
PhD student, Department of Mathematics, IIT Ropar |
|
2 |
Mandeep Kumar (MK) |
PhD student, department of Mathematics, IIT Ropar |
|
3 |
Parveen Kuamr (PK) |
PhD student, department of Mathematics, IIT Ropar |
|
4. |
Rahul Bhardwaj (RB) |
PhD student, Department of Mathematics, IIT Ropar |
|
5. |
Mohd. Ashraf Bhat (MAB) |
PhD student, Department of Mathematics, IIT Ropar |
|
6. |
Krishna Kumar Lal (KL) |
PhD student, Department of Mathematics, IIT Ropar |
|
7. |
Priti Saha (PS) |
PhD student, Department of Mathematics, IIT Ropar |
|
8. |
Dr. Abhik Digar (AD) |
Post Doctoral Fellow, Department of Mathematics, IIT Kanpur |
|
9. |
Ritu Raj (RR) |
PhD student, Department of Mathematics, IIT Ropar |
|
10. |
Dr. Ranjith T (RT) |
Post Doctoral Fellow, ISI Bangalore |
|
11. |
Sahil (SA) |
PhD student, Department of Mathematics, IIT Ropar |
|
12. |
Dr. Swati Garg (SG) |
Central University of Punjab (University in Bathinda), Punjab |
Selected Applicants:
All selected candidates are requested to confirm their participation by 5:00 PM on Friday, April 18, 2025, by submitting the following Google Form:
| Sr.n | SID | Full Name | Gender | Affiiliation | Position in College/ University | University/ Institute M.Sc./ M.A. | Year of Passing M.Sc./ M.A | Ph.D. Degree Date |
| 1 | 61994 | Mr Sayan Roy | Male | Indian Statistical Institute, Bangalore | PhD Student | Indian Institute Of Technology Madras | 2023 | |
| 2 | 62070 | Mr. Ankit Mishra | Male | Indian Institute of Technology (Banaras Hindu University) Varanasi | PhD | University of Allahabad (MSc) | 2018 | |
| 3 | 62187 | Mr. Avinash K | Male | Manipal Institute of Technology | PhD Student | Department of Mathematics, Mangalore University | 2022 | |
| 4 | 62251 | Mr Nitin Bartwal | Male | Indian Institute of Technology, Madras | PhD | Indian Institute of Technology, Madras | 2021 | |
| 5 | 62268 | Mr. Om Tripathi | Male | Indian Institute Of Technology Roorkee Saharanpur Campus | PhD | National Institute Of Technology Warangal | 2023 | |
| 6 | 62329 | Mr Soumitra Das | Male | Indian Institute of Technology Madras | PhD | Jadavpur University | 2023 | |
| 7 | 62434 | Mr. Ashwani Rao | Male | Banaras Hindu University, Varanasi | Research Scholar | Gurukula Kangri Vishwavidyalaya, Haridwar | 2020 | |
| 8 | 62459 | Mr Prasanjit Samantaray | Male | Vellore Institute Of Technology | Ph.D | University M.Sc. | 2020 | |
| 9 | 62518 | Ms. Archana Prajapati | Female | IIT BHU Varanasi | PhD | IIT Delhi | 2024 | |
| 10 | 62525 | Ms. Priyanka . | Female | Dr. B R Ambedkar National Institute of Technology Jalandhar | PhD | M.Sc. | 2019 | |
| 11 | 62554 | Mr Gokul Santhosh | Male | Indian Institute of Technology Palakkad | PhD student | Indian Institute of Technology Palakkad | 2023 | |
| 12 | 62556 | Mr. Soumyajit Ghosh | Male | Indian Institute of Technology Palakkad | PhD | National Institute of Technology Hamirpur | 2023 | |
| 13 | 62692 | Ms Archana M P | Female | IISc | PhD | Calicut university | 2022 | |
| 14 | 62708 | Mr. Jagamohan Samantaray | Male | Indian Institute Of Technology Bhilai | PhD | Banaras Hindu University, Varanasi | 2023 | |
| 15 | 62717 | Mr. Akhilesh Verma | Male | IIT ROORKEE | PhD | Banaras Hindu University Varanasi | 2019 | |
| 16 | 62742 | Ms Sreelakshmi M P | Female | National Institute of Technology Calicut | PhD | Cochin University of Science and Technology, Kochi, Kerala, MSc | 2023 | |
| 17 | 62752 | Mr Narendra Laishram | Male | IIT KANPUR | Phd student | University of Hyderabad | ||
| 18 | 62754 | Mr Thananjayan Bhuvaneswaran | Male | SRM Institute of Science and Technology | PhD | University of Madras | 2003 | |
| 19 | 62770 | Mr Vaishakh K J | Male | Cochin University of Science and Technology | PhD Student | Cochin University of Science and Technology | 2022 | |
| 20 | 62803 | Ms Pratima Pandey | Female | IIT(ISM) Dhanbad | PhD | Allahabad university | 2020 | |
| 21 | 62982 | Ms. Shubhangini Gupta | Female | National Institute of Technology Calicut | PhD | M.Sc., Rani Durgavati Vishwavidyalaya | 2020 | |
| 22 | 62995 | Ms. Jyoti Jindal | Female | Indian Institute of Technology, Roorkee | PhD | Punjab University, Patiala | 2020 | |
| 23 | 63000 | Mrs. Selsha S | Female | Government College Chittur | PhD Student | Government College Chittur | 2019 | |
| 24 | 63001 | Mr. Sooryadas M | Male | Government College Chittur | PhD Student | Government College Chittur | 2023 | |
| 25 | 63002 | Ms Nandana Satheesh K | Female | National Institute of Technology Calicut | PhD | University of Calicut | 2021 | |
| 26 | 63053 | Ms Saheli Panja | Female | National Institute of Science Education and Research | Integrated PhD | National Institute of Science Education and Research | ||
| 27 | 63102 | Mr. Souvik Bhowmick | Male | National Institute of Technology Calicut | PhD | UNIVERSITY OF KALYANI | 2020 | |
| 28 | 63163 | Mr Sagar Basak | Male | IIT BHU | PhD | Savitribai Phule Pune University | 2021 | |
| 29 | 63232 | Mr. Himanshu Nautiyal | Male | National Institute of Technology Uttarakhand | PhD | H.N.B.G University Srinagar Uttarakhand | 2021 | |
| 30 | 63270 | Ms. Komal Verma | Female | Birla Institute of Technology and Science, Pilani campus | PhD | Delhi Technological University | 2021 | |
| 31 | 63397 | Mr. Gyan Prakash | Male | Indian Institute of Science Education and Research, Pune | Integrated PhD(Mathematics) Student | |||
| 32 | 63492 | Mr. Rohit Sharma | Male | Indian Institute of Science Education and Research Mohali | Ph.D | Panjab University Chandigarh | 2022 | |
| 33 | 63568 | Mr. Rakesh Kumar Sahoo | Male | IIT Bhubaneswar | PhD | NIT Tiruchirappalli | 2024 | |
| 34 | 63668 | Mr. Pradeep Gupta | Male | LNM Institute of Information Technology (JAIPUR) | PhD | Indira Gandhi National Tribal University Amarkantak MP | 2023 | |
| 35 | 63682 | Mr. Abhishek Yadav | Male | IIT Roorkee | Phd | IIT Delhi | 2024 | |
| 36 | 63710 | Mr. Ritesh Ranjan Patel | Male | IIT HYDERABAD | PhD | Pondicherry university | 2023 | |
| Local Participants | ||||||||
| 1 | 62071 | Mr Ritul Dutta | Male | Indian institute of technology Ropar | PHD | M.Sc Mathematics from kirorimal College, University of Delhi | 2022 | |
| 2 | 62677 | Mr. Tariq Ahmad Dar | Male | Iit ropar | Phd | 2022 | ||
| 3 | 63772 | Ms. Priti Saha | Female | IIT ROPAR | Phd | BHU | 2022 | |
| 4 | 63773 | Mr. Krishna Kumar Lal | Male | IIT Ropar | PhD | IIT Madras | 2022 | |
| Waiting list | ||||||||
| 1 | 62284 | Mr. Shridhar Kumar | Male | IIT PATNA | PhD | IIT PATNA | 2019 | |
| 2 | 63658 | Ms. Savita Tripathi | Female | Banaras Hindu University | MSc Student | Banaras Hindu University Varanasi | 2020 | |
| 3 | 62782 | Mr. Sourav Mandal | Male | University Of North Bengal | PhD Student | University Of North Bengal | 2018 | |
| 4 | 62638 | Ms. Jiya Rose Johnson | Female | Indian Institute of Technology Madras | PhD | Cochin University of Science and Technology | 2020 | |
How to Reach:
How to Reach IIT Ropar
IIT Ropar is located in Rupnagar (Ropar), Punjab, approximately 60 km from Chandigarh. Below are the different ways to reach the institute:
By Air
The nearest airport is Shaheed Bhagat Singh International Airport, Chandigarh (IXC), about 55 km from IIT Ropar.
-
You can take a taxi or cab (Uber/Ola) from the airport to IIT Ropar (approx. 1.5 hours). Approximate fare Rs. 1600 (+GST).
By Train
The nearest railway station is Rupnagar Railway Station (RPAR), located about 6 km from IIT Ropar.
-
Rupnagar(RPAR) has direct train connections from Delhi, Ambala, and Chandigarh.
-
To reach the campus, you can take an auto-rickshaw or cab from the railway station (or from the Ropar bustand). Approximate fare is Rs. 150 (+GST).
By Road
-
From Chandigarh: Take a bus from ISBT Chandigarh (sector-43) to Ropar or taxi via NH205 (approx. 1.5 hours). The approximate fare is Rs. 80 for the bus and Rs. 1600 (+GST) for taxi.
-
From New Delhi: Take a bus or taxi via NH44 and NH205 (approx. 5-6 hours).
-
Buses from ISBT Chandigarh (Sector-43) to Ropar bus stop. Buses from ISBT Chandigarh (Sector-43)to Ropar are available frequently.
Webpage of IIT Ropar: www.iitrpr.ac.in
*No TA will be provided by the organizer(s) to the participants